Mrinal Kanti Roychowdhury
  Professor of Mathematics
School of Mathematical and Statistical Sciences
                             The University of Texas Rio Grande Valley                        




 
 



“If someone finds a mistake in your work, take it as a blessing, not a setback. Every correction is an opportunity to improve and deepen understanding. Constructive criticism refines both the work and the worker.”
— M. K. Roychowdhury

“Intelligence alone is not enough; popularity, dedication, and sound judgment are equally important for leading an organization.”
— M. K. Roychowdhury




 Office: MAGC Building 3.702
Phone: (956) 665-3555
Email: mrinal.roychowdhury@utrgv.edu
Fax: (956) 665-5091

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Research Interest: Quantization: Theory and Applications, Fractal Geometry and Dynamical Systems. To know more about my research, please look at my channel: https://www.youtube.com/@mrinalkantiroychowdhury92

Short Description: Constrained quantization for a Borel probability measure refers to the idea of estimating a given probability by a discrete probability with a finite number of supporting points lying on a specific set. The specific set is known as the constraint of the constrained quantization. A quantization without a constraint is known as an unconstrained quantization, which traditionally in the literature is known as quantization. Constrained quantization has recently been introduced by Pandey and Roychowdhury. With the introduction of constrained quantization, quantization now has two classifications: constrained quantization and unconstrained quantization. Constrained quantization is greatly useful in radiation therapy of cancer treatment. In radiation therapy, to make sure that the radiation does not directly hit the region of good cells one can use the constrained quantization technique. Constrained quantization is extensively useful in national security, for example, to install missile stations targeting another country in an efficient way the technique of constrained quantization can be used. Constrained quantization is also useful in sending and getting signals from a certain region with minimum distortion using a fixed number of towers installed in a different region. Further, we have introduced another new idea in quantization which is known as conditional quantization in both constrained and unconstrained cases. Conditional quantization has also significant interdisciplinary applications: for example, in radiation therapy of cancer treatment to find the optimal locations of n centers of radiation, where k centers for some k<n of radiation are preselected, the conditional quantization technique can be used. After the introduction of constrained quantization, and then conditional quantization, the quantization theory is now much more enriched with huge applications in our real world. For more details one can consult my preprints and publications. 

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Publications and some selected preprints:
(arXiv papers may be updated until they are accepted)
  1. P. Singh, S.K. Katiyar, M.K. Roychowdhury, Optimal Quantization on Spherical Curves: Uniform Distributions on Arcs, Circles, and Equilateral Triangles, arXiv:
  2. M.K. Roychowdhury, Optimal Quantization of Finite Uniform Data on the Sphere, arXiv:
  3. M.K. Roychowdhury, Discrete Quantization on Spherical Geometries: Explicit Models, Computations, and Didactic Exposition, arXiv:
  4. M.K. Roychowdhury, Optimal Quantization on Spherical Surfaces: Continuous and Discrete Models -- A Beginner-Friendly Expository Study, arXiv:2511.05099 [math.OC].
  5. P. Tamrakar, B. Bimpong, S. K. Katiyar, S. Pandit, and M.K. Roychowdhury, Optimal Sets and Quantization Errors under Geometric Constraints for Discrete Distributions, arXiv:2507.07923 [math.PR].
  6. S. Dubey, M.K. Roychowdhury, and S. Verma, Quantization dimension for a generalized inhomogeneous bi-Lipschitz iterated function system, arXiv:2503.11105 [math.DS].
  7. W. Ott and M.K. Roychowdhury, Conditional constrained quantization for the Cantor distribution, arXiv: will be posted.        
  8. M. Pandey and M.K. Roychowdhury, Constrained quantization for the Cantor distribution with a family of constraints, arXiv:2401.01958 [math.DS].
  9. M. Pandey and M.K. Roychowdhury, Conditional constrained and unconstrained quantization for probability distributions, arXiv:2312.02965 [math.PR].
  10. P. Singh, S.K. Katiyar, M. Pandey and M.K. Roychowdhury, Constrained Quantization for Uniform Distributions with Two Constraint Families, arXiv:2309.11498 [math.PR].
  11. J. Gomez, H. Martinez, M.K. Roychowdhury, A. Salazar, and D.J. Vallez,  Quantization for a set of discrete distributions on the set of natural numbers, arXiv:2305.02372 [math.PR].
  12. M.K. Roychowdhury, and K. Simon, Quantization dimension for self-similar measures of overlapping construction, arXiv:2208.11749 [math.DS].
  13. M.K. Roychowdhury and S. Verma, Quantization dimension and stability for infinite self-similar measures with respect to geometric mean error, arXiv:2008.05136 [math.DS].
  14. M.K. Roychowdhury and S. Verma, A study on Quantization Dimension in complete metric spaces, arXiv:2005.07840 [math.DS].
  15. J. Atnip, M.K. Roychowdhury, and M. Urbanski, Quantization dimension for infinite conformal iterated function systems, arXiv:1811.00299 [math.DS].
  16. A. Barua, A. Chavera, I. Djordjevic, V. Manzano, S.S. Quintero, M.K. Roychowdhury, and H. Tejeda, Quantization for the mixtures of overlap probability distributions,  to appear, Houston Journal of Mathematics. 
  17. A. Barua, G. Fernandez, A. Gomez, O. Lopez, and M.K. Roychowdhury, Quantization for the mixtures of uniform distributions on connected and disconnected line segments, to appear, Arabian Journal of Mathematics.
  18. E. Nyanney, M. Pandey, and M.K. Roychowdhury, Conditional optimal sets and the quantization coefficients for some uniform distributions, Mathematics 2025, 13(15), 2350; https://doi.org/10.3390/math13152350.
  19. R. Cabasag, S. Huq, E. Mendoza, and M.K. Roychowdhury, Optimal quantization for nonuniform discrete distributions, Contemporary Mathematics, AMS, 825 (2025). 
  20. M. Pandey and M.K. Roychowdhury, Constrained quantization for probability distributions, to appear, Journal of Fractal Geometry.
  21. M. Pandey and M.K. Roychowdhury, Optimal quantization for a probability measure on a nonuniform stretched Sierpiński triangle, Discrete and Continuous Dynamical Systems - Series S, 2025, doi: 10.3934/dcdss.2025087.
  22. E. Gonzalez, M.K. Roychowdhury, D. Salinas, and V. Veeramachaneni, Conditional quantization for some discrete distributions, Mathematics 2025, 13(11), 1717; https://doi.org/10.3390/math13111717.
  23. C. Hamilton, E. Nyanney, M. Pandey, and M.K. Roychowdhury, Conditional constrained and unconstrained quantization for uniform distributions on regular polygons, Real Analysis Exchange, Vol 50(2), pp. 1-45. 
  24. S. Dubey, M.K. Roychowdhury, and S. Verma, Quantization for a condensation system, Mathematics 2025, 13(9), 1424; https://doi.org/10.3390/math13091424.
  25. P. Biteng, M. Caguiat, T. Dominguez,  and M.K. Roychowdhury, Conditional quantization for uniform distributions on line segments and regular polygons, Mathematics 2025, 13(7), 1024; https://doi.org/10.3390/math13071024.   
  26. A. Priyadarshi, M.K. Roychowdhury and M. Verma, Quantization dimension for inhomogeneous bi-Lipschitz iterated function systems, Monatshefte für Mathematik, 207, 125-140 (2025), https://doi.org/10.1007/s00605-025-02063-4. 
  27. A. Priyadarshi, M.K. Roychowdhury and M. Verma, Quantization dimensions for the bi-Lipschitz recurrent iterated function systems, Dynamical Systems, 2025, Vol 40, No. 1, 71-90.
  28. P. Biteng, M. Caguiat, D. Deb,  M.K. Roychowdhury, and B. Villanueva, Constrained quantization for a uniform distribution, Houston Journal of Mathematics, Volume 50, Number 1, 2024, Pages 121–142.
  29. M. Pandey and M.K. Roychowdhury, Constrained quantization for the Cantor distribution, J. Fractal Geom. 11 (2024), no. 3/4, pp. 319-341.
  30. M.K. Roychowdhury, Optimal quantizers for a nonuniform distribution on a Sierpinski carpet, Springer Proceedings in Mathematics & Statistics, Applied Analysis, Optimization and Soft Computing, ICNAAO-2021, Varanasi, India, December 21–23, pp 43-62, 2023.  
  31. M.K. Roychowdhury, Optimal quantization for some triadic uniform Cantor distributions with exact bounds, Qualitative Theory of Dynamical Systems 21, Article number: 149  (2022).
  32. J. Rosenblatt and M.K. Roychowdhury, Uniform distributions on curves and quantization, Commun. Korean Math. Soc. 38 (2023), No. 2, pp. 431–450.
  33. D. Comez and M.K. Roychowdhury, Canonical sequences of optimal quantization for condensation measures, Qualitative Theory of Dynamical Systems, 21, Article number: 79 (2022). 
  34. D. Comez, and M.K. Roychowdhury, Quantization for infinite affine transformations, Fractal and Fractional 2022, 6 (5), 239. https://doi.org/10.3390/fractalfract6050239. 
  35. L. Roychowdhury and M.K. Roychowdhury, Quantization for a probability distribution generated by an infinite iterated function system, Commun. Korean Math. Soc. 37 (2022), No. 3, pp. 765–800.
  36. J. Hansen, I. Marquez, M.K. Roychowdhury, and E. Torres, Quantization coefficients for uniform distributions on the boundaries of regular polygons, Statistics & Probability Letters, Volume 173, June 2021, 109060.
  37. M.K. Roychowdhury, Optimal quantization for mixed distributions, Real Anal. Exchange 46(2): 451-484 (2021).
  38. G. Pena, H. Rodrigo, M.K. Roychowdhury, J. Sifuentes, and E. Suazo, Quantization for uniform distributions on hexagonal, semicircular, and elliptical curves,  Journal of Optimization Theory and Applications,  (2021) 188: 113-142.
  39. M.K. Roychowdhury and B. Selmi, Local dimensions and quantization dimensions in dynamical systems, The Journal of Geometric Analysis, volume 31, pp. 6387-6409 (2021).
  40. C.P. Dettmann and M.K. Roychowdhury, An algorithm to compute CVTs for finitely generated Cantor distributions, Southeast Asian Bulletin of Mathematics (2021) 45: 173–188.
  41. S. Chakraborty, M.K. Roychowdhury, and J. Sifuentes, High precision numerical computation of principal points for univariate distributions, Sankhya B 83, 558-584 (2021). 
  42. M.K. Roychowdhury, Topological pressure and fractal dimensions of cookie-cutter-like sets, Southeast Asian Bulletin of Mathematics, 2020, Vol. 44 Issue 5, Pages 719-732.
  43. M.K. Roychowdhury and W. Salinas, Quantization for a mixture of uniform distributions associated with probability vectors, Uniform Distribution Theory 15 (2020), no. 1, 105-142.
  44. J. Rosenblatt and M.K. Roychowdhury, Optimal quantization via dynamics, Dynamical Systems, Volume 35, Issue 3, 2020: 522-538. 
  45. J. Rosenblatt and M.K. Roychowdhury, Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems, Journal of Mathematical Analysis and Applications, Volume 485, Issue 1, 1 May 2020, 123-769
  46. D. Comez and M.K. Roychowdhury, Quantization for uniform distributions of Cantor dusts on $\mathbb{R}^2$, Topology Proceedings, Volume 56 (2020), Pages 195-218.
  47. M.K. Roychowdhury, The quantization of the standard triadic Cantor distribution, Houston Journal of Mathematics, Volume 46, Number 2, 2020, Pages 389-407.
  48. M.K. Roychowdhury, Center of mass and the optimal quantizers for some continuous and discrete uniform distributions, Journal of Interdisciplinary Mathematics, Vol. 22 (2019), No. 4,  pp. 451-471.
  49. D. Comez and M.K. Roychowdhury, Quantization for uniform distributions on stretched Sierpinski triangles, Monatshefte fur Mathematik, Volume 190, Issue 1, 79-100 (2019). 
  50. M.K. Roychowdhury, Optimal quantization for the Cantor distribution generated by infinite similitudes, Israel Journal of Mathematics 231 (2019), 437-466.
  51. M.K. Roychowdhury, Least upper bound of the exact formula for optimal quantization of some uniform Cantor distributions, Discrete and Continuous Dynamical Systems- Series A, Volume 38, Number 9, September 2018, pp. 4555-4570.
  52. J. Rosenblatt and M.K. Roychowdhury, Optimal quantization for piecewise uniform distributions, Uniform Distribution Theory 13 (2018), no. 2, 23-55. 
  53. M.K. Roychowdhury, Optimal quantizers for some absolutely continuous probability measures, Real Analysis Exchange, Vol. 43(1), 2017, pp. 105-136. 
  54. M.K. Roychowdhury, Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets, Journal of Fractal Geometry, 4 (2017), 127-146.
  55. C.P. Dettmann and M.K. Roychowdhury, Quantization for uniform distributions on equilateral triangles, Real Analysis Exchange, Vol. 42(1), 2017, pp. 149-166.
  56. E. Mihailescu and M.K. Roychowdhury, Quantization coefficients in infinite systems, Kyoto Journal of Mathematics, Vol. 55, No. 4 (2015), 857-873.
  57. M.K. Roychowdhury and N. Snigireva, Asymptotic of the geometric mean error in the quantization of recurrent self-similar measures, Journal of Mathematical Analysis and Applications, Vol. 431 (2015), 737-751.  
  58. M.K. Roychowdhury, Hausdorff and upper box dimension estimate of hyperbolic recurrent sets, Israel Journal of Mathematics, 201 (2014), 507–523.
  59. M.K. Roychowdhury, Quantization dimension estimate of probability measures on hyperbolic recurrent sets, Dynamical Systems, Vol. 29, No. 2, 225-238, 2014.
  60. M.K. Roychowdhury, Quantization coefficients for ergodic measures on infinite symbolic space, Discrete and Continuous Dynamical Systems - Series A, Pages: 2829-2846, Vol. 34, Issue 7, July 2014.
  61. M.K. Roychowdhury, Quantization dimension for Gibbs-like measures on cookie-cutter sets, Kyoto Journal of Mathematics, Vol. 54, No. 2 (2014), 239-257.
  62. M.K. Roychowdhury, Quantization dimension estimate for condensation systems of conformal mappings, Real Analysis Exchange, 2013, Vol. 38, Issue 2, p 317-335.
  63. M.K. Roychowdhury, Quantization dimension estimate of inhomogeneous self-similar measures, Bulletin of the Polish Academy of Sciences Mathematics, Vol. 61, No. 1  (2013), 35-45.
  64. M.K. Roychowdhury, Quantization dimension and temperature function for bi-Lipschitz mappings, Israel Journal of Mathematics, 192 (2012), 473-488.
  65. M.K. Roychowdhury, Quantization dimension for infinite self-similar probabilities, Journal of Mathematical Analysis and Applications, 383 (2011), 499-505.
  66. M.K. Roychowdhury, Quantization dimension and temperature function for recurrent self-similar measures, Chaos, Solitons & Fractals, 44 (2011), 947-953.
  67. M.K. Roychowdhury, Lower quantization coefficient and the F-conformal measure, Colloquium Mathematicum, 122 (2011), 255-263.                       
  68. M.K. Roychowdhury, Quantization dimension function and Gibbs measure associated with Moran set, Journal of Mathematical Analysis and Applications, 373 (2011), 73-82.
  69. R.K. Bose and M.K. Roychowdhury, Fixed point theorems for some generalized contractive multi-valued mappings and fuzzy mappings, Matematicki Vesnik, 63 (2011), no. 1, 7-26.
  70. M.K. Roychowdhury, Quantization dimension for some Moran measures, Proceedings of the American Mathematical Society, 138 (2010), 4045-4057.
  71. R.K. Bose and M.K. Roychowdhury, Fixed point theorems for multi-valued mappings and fuzzy mappings, International Journal of Pure and Applied Mathematics, Vol 61, No. 1 (2010), 53-72.
  72. M.K. Roychowdhury, Quantization dimension function and ergodic measure with bounded distortion, Bulletin of the Polish Academy of Sciences Mathematics, 57 (2009), 251-262.
  73. R.K. Bose and M.K. Roychowdhury, Fixed point theorems for generalized weakly contractive mappings, Surveys in Mathematics and its Applications, Vol. 4 (2009), 215-238.
  74. M.K. Roychowdhury and D.J. Rudolph, Any two irreducible Markov chains are finitarily orbit equivalent, Israel Journal of Mathematics, 174 (2009), 349–368.           
  75. M.K. Roychowdhury and D.J. Rudolph, Nearly continuous Kakutani equivalence of adding machines, Journal of Modern Dynamics, Volume 3, No. 1, 2009, 103-119.
  76. M.K. Roychowdhury and D.J. Rudolph, Any two irreducible Markov chains of equal entropy are finitarity Kakutani equivalent, Israel Journal of Mathematics, 165 (2008), no. 1, 29-41.
  77. T. Hamachi, M.S. Keane and M.K. Roychowdhury, Finitary orbit equivalence and measured Bratteli diagrams, Colloquium Mathematicum, 110 (2008), no. 2, 363-382.
  78. M.K. Roychowdhury and D.J. Rudolph, The Morse minimal system is finitarily Kakutani equivalent to the binary odometer, Fundamenta Mathematicae, 198 (2008), no. 2, 149-163.
  79. M.K. Roychowdhury, Irrational rotation of the circle and the binary odometer are finitarily orbit equivalent, Publications of the Research Institute for Mathematical Sciences (Kyoto University), 43 (2007), no 2, 385-402.
  80. M.K. Roychowdhury, $\{m_n\}$-odometer and the binary odometer are finitarily orbit equivalent, Contemporary Mathematics, AMS, 430 (2007), 123-134. 
Preprint:
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Academic Award: Gold Medal (for the highest examination score in B.Sc.(Mathematics Honors) in the Tripura University system, Tripura, INDIA.

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Conference/symposium/special-session organized: 
  1. AMS Sectional Meeting#1210: Special Session on Fractal Geometry and Dynamical Systems (organizers: M.K. Roychowdhury and William Ott), AMS Fall Southeastern Sectional Meeting, Tulane University, New Orleans, LA, October 3-5, 2025 (Friday-Sunday).
  2. AMS Sectional Meeting#1198: Special Session on Dynamical Systems: Statistical Properties, Spectral Theory, and Fractal Geometry (organizers: M.K. Roychowdhury and William Ott), AMS Fall Central Sectional Meeting, University of Texas at San Antonio, San Antonio, September 14-15, 2024 (Saturday - Sunday).
  3. AMS Sectional Meeting#1198: Special Session on Machine Learning, Data Science and Related Fields (organizers: Hansapani Rodrigo, Lakshmi Roychowdhury, and M.K. Roychowdhury), AMS Fall Central Sectional Meeting, University of Texas at San Antonio, San Antonio, September 14-15, 2024 (Saturday - Sunday).
  4. AMS Sectional Meeting#1190: Special Session on Ergodic Theory and Dynamical Systems (organizers: Joanna Marie Furno and  M.K. Roychowdhury), AMS Fall Southeastern Sectional Meeting, University of South Alabama, Mobile, AL, October 13-15, 2023 (Friday - Sunday).
  5. AIMS Special session on Fractal Geometry, Dynamical Systems, and Their Applications (organizers: Sangita Jha,  M.K. Roychowdhury, and Saurabh Verma) at the 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 31-June 4, 2023, Wilmington, NC, USA. 
  6. AMS Sectional Meeting#1185: Special Session on Fractal Geometry and Dynamical Systems (organizers: Sangita Jha,  M.K. Roychowdhury, and Saurabh Verma), AMS Spring Eastern Sectional Meeting, meeting virtually, April 01-02, 2023 (Saturday - Sunday).
  7. AMS Sectional Meeting#1184: Special Session on Fractal Geometry and Dynamical Systems (organizers: Scott Kaschner and M.K. Roychowdhury), AMS Spring Southeastern Sectional Meeting, Georgia Institute of Technology, Atlanta, GA, March 18-19, 2023 (Saturday - Sunday).
  8. AMS Sectional Meeting#1178: Special Session on Fractal Geometry and Dynamical Systems (organizers: Sangita Jha,  M.K. Roychowdhury, and Saurabh Verma), AMS Spring Western Sectional Meeting (formerly at University of Denver) now meeting virtually, May 14-15, 2022 (Saturday - Sunday).
  9. AMS Sectional Meeting#1172: Special Session on Fractal Geometry and Dynamical Systems (organizers: Sangita Jha,  M.K. Roychowdhury, and Saurabh Verma), AMS Fall Western Sectional Meeting (formerly at University of New Mexico) now meeting virtually, Albuquerque, NM, October 23-24, 2021 (Saturday - Sunday).
  10. AMS Joint Mathematics Meetings#1163: Special session on Quantization on Probability Distributions and Dynamical Systems, January 06-09 (Wednesday-Saturday), 2021, happened virtually.
  11. AMS Joint Mathematics Meetings#1154: Special session on Quantization on Probability Distributions and Dynamical Systems, January 15-18 (Wednesday-Saturday), 2020, Denver, CO, USA.
  12. AMS Sectional Meeting#1152: Special session on Fractal Geometry and Dynamical Systems, November 2-3, 2019 (Saturday - Sunday), University of Florida, Gainesville, FL, USA.
  13. AMS Sectional Meeting#1138: Special session on Quantization for Probability Distributions and Dynamical Systems, April 14-15, 2018 (Saturday-Sunday), Vanderbilt University, Nashville, TN, USA.
  14. AMS Sectional Meeting#1133: Special session on Fractal Geometry, Dynamical Systems, and Their Applications, September 23-24, 2017 (Saturday-Sunday), University of Central Florida, Orlando, FL, USA.
  15. AMS Sectional Meeting#1131: Special session on Fractal Geometry and Ergodic Theory, September 09-10, 2017 (Saturday-Sunday), University of North Texas, Denton, TX, USA.
  16. AMS Joint Mathematics Meetings#1125: Special session on Ergodic Theory and Dynamical Systems, (organizers: Tamara Kucherenko and M.K. Roychowdhury), January 04-07 (Wednesday-Saturday), 2017, Atlanta, USA.
  17. AIMS Special session on Fractal Geometry, Dynamical Systems, and Their Applications (organizers: M. Barnsley, J. Keesling and M.K. Roychowdhury) at the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA, July 1-5, 2016.
  18. Special session on Centroidal Voronoi Tessellations and Their Applications (organizers: M.K. Roychowdhury and Huayi Wei) at the SIAM Conference, Georgia State University, Georgia, USA, June 6-10, 2016.
  19. AMS Sectional Meeting#1120: Special session on Ergodic Theory and Dynamical Systems (organizers: Doğan Çömez and M.K. Roychowdhury), April 16-17, 2016 (Saturday-Sunday), North Dakota State University, Fargo, ND, USA.
  20. AMS Sectional Meeting#1113: Special session on Fractal Geometry and Dynamical Systems, October 17-18, 2015 (Saturday-Sunday), University of Memphis, Memphis, TN, USA.  
  21. Special session on Dynamics of Time Series, Dynamical Systems and Quantization (organizers: M.K. Roychowdhury and Milan Stehlik) at 9th International Conference on Differential Equations and Dynamical Systems, May 14-16, 2015, Dallas, Texas, USA. 
  22. AMS Sectional Meeting#1109: Special session on Fractal Geometry and Ergodic Theory, March 27-29 (Friday-Sunday), 2015, University of Alabama, Huntsville, USA, (to see the pictures click here).
  23. AMS Joint Mathematics Meetings#1106: Special session on Ergodic Theory and Dynamical Systems, January 10-13 (Saturday-Tuesday), 2015, San Antonio, USA, (to see the pictures click here). 
  24. AMS Sectional Meeting#2000: Special session on Fractal Geometry and Dynamical Systems, April 11-13 (Friday-Sunday), 2014, Texas Tech University, Lubbock, Texas, USA, (to see the pictures click here).
  25. AMS Sectional Meeting#1097: Special session on Fractal Geometry and Ergodic Theory, March 21-23 (Friday-Sunday), 2014, University of Tennessee, Knoxville, Tennessee, USA, (to see the pictures click here).
  26. AMS Sectional Meeting#1087: Special session on Fractal Geometry and Ergodic Theory, March 1-3 (Friday-Sunday), 2013, University of Mississippi, Oxford, MS, USA, (to see the pictures click here).
  27. Symposium on Fractal Geometry, Quantization Dimension and Related Topics, within ICNAAM 2012, Kypriotis Hotels and Conference Center, Kos, Greece, 19-25 September, 2012.
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Talks:
  1. October 17-18, 2025, Twentieth Annual Texas Undergraduate Mathematics Conference, St. Mary's University, Texas, USA.
  2. October 3-5, 2025, AMS Fall Southeastern Sectional Meeting: Special Session on Fractal Geometry and Dynamical Systems, Tulane University, New Orleans, LA, USA.
  3. November 8-9, 2024, Nineteenth Annual Texas Undergraduate Mathematics Conference, The University of Texas at Tyler, Texas, USA.
  4. (Colloquium Talk) October 04, 2024, Department of Mathematics, The University of Alabama at Birmingham, Birmingham, Alabama, USA. 
  5. September 14-15, 2024, AMS Fall Central Sectional Meeting: Special Session on Dynamical Systems: Statistical Properties, Spectral Theory, and Fractal Geometry, University of Texas at San Antonio, San Antonio, TX.
  6. September 14-15, 2024, AMS Fall Central Sectional Meeting: Special Session on Machine Learning, Data Science and Related Fields, University of Texas at San Antonio, San Antonio, TX.
  7. July 27, 2024, MADP-2024 (Meeting on Analysis, Dimensions and PDE), IIIT Allahabad, INDIA.
  8. May 14-17, 2024, Dynamical Systems and Fractal Geometry Conference, University of North Texas, Denton, TX, USA. 
  9. April 06, 2024, 8th Coastal Bend Mathematics and Statistics Conference, Texas A&M University, Kingsville, TX, USA. 
  10. October 13-15, 2023, AMS Fall Southeastern Sectional Meeting: Special Session on Ergodic Theory and Dynamical Systems, University of South Alabama, Mobile, AL.
  11. October 06, 2023, Statistics and Data Science Day, University of Texas Rio Grande Valley, Edinburg, TX 78539, USA.
  12. May 31-June 4, 2023, Special Session on Fractal Geometry, Dynamical Systems, and Their Applications, at the 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Wilmington, NC, USA.
  13. April 01-02, 2023, AMS Spring Eastern Sectional Meeting, meeting virtually: Special Session on Fractal Geometry and Dynamical Systems, USA.
  14. March 18-19, 2023, AMS Spring Southeastern Sectional Meeting, Georgia Institute of Technology, Atlanta, GA: Special Session on Fractal Geometry and Dynamical Systems, USA.
  15. (Colloquium Talk) January 18, 2023, Department of Mathematics and Statistics, Indian Institute of Technology (IIT) Tirupati, INDIA.
  16. (Plenary Talk) December 19-22, 2022, International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, INDIA.
  17. September 22-October 1, 2022, Workshop on Fractal Geometry and Related Fields, Department of Applied Sciences, Indian Institute of Information Technology Allahabad (IIIT-A), INDIA.
  18. September 16-17, 2022, The 12th BUAP-UAM-I-UTRGV Joint International Conference, University of Texas Rio Grande Valley, Texas, USA.
  19. July 29-31, 2022, Workshop in Analysis and Probability, Department of Mathematics, Texas A&M University, College Station, Texas, USA.
  20. May 14-15, 2022, AMS Spring Western Sectional Meeting (formerly at University of Denver, now meeting virtually): Special Session on Interactions between Probability and Statistics, USA. 
  21. May 14-15, 2022, AMS Spring Western Sectional Meeting (formerly at University of Denver, now meeting virtually): Special Session on Fractal Geometry and Dynamical Systems, USA.
  22. (Plenary Talk) December 21-23, 2021, International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, INDIA.
  23. October 23-24, 2021, AMS Fall Western Sectional Meeting (formerly at University of New Mexico, now meeting virtually): Special Session on Fractal Geometry and Dynamical Systems, Albuquerque, NM, USA.
  24. May 01-02, 2021, AMS Spring Western Sectional Meeting (formerly at San Francisco State University, now meeting virtually): Special Session on Analysis, Combinatorics, and Geometry of Fractals, USA.
  25. January 06, 2021, Special Session on Quantization for Probability Distributions and Dynamical Systems, Joint Mathematics Meetings, January 06-09, 2021, happened virtually, USA.
  26. January 18, 2020, Special Session on Quantization for Probability Distributions and Dynamical Systems, January 15-18, 2020, Denver, Colorado, USA.
  27. November 09-10, 2019, AMS Fall Western Sectional Meeting: Special Session on Dynamical Systems and Ergodic Theory, University of California, Riverside, CA, USA.
  28. November 09-10, 2019, AMS Fall Western Sectional Meeting: Special Session on Fractal Geometry, Dynamical Systems, and Related Topics, University of California, Riverside, CA, USA.
  29. November 02-03, 2019, AMS Fall Southeastern Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, University of Florida, Gainesville, FL, USA.
  30. July 10, 2019, Workshop in Analysis and Probability, Texas A&M University, College Station, TX, USA.
  31. May 02, 2019, BUAP-UAM-I-UTRGV Joint Functional Analysis Workshop, University of Texas Rio Grande Valley, Edinburg, Texas, USA.
  32. April 27, 2019,  Statistics Day, Texas A&M University, Kingsville, Texas, USA.
  33. (Colloquium Talk) April 12, 2019, Department of Mathematics, The University of Texas at San Antonio, San Antonio, Texas, USA. 
  34. March 23, 2019, 4thCoastal Bend Mathematics and Statistics Conference, University of Texas Rio Grande Valley, Edinburg, Texas, USA.
  35. March 15-17, 2019, Spring Southeastern Sectional Meeting: Special Session on Probability and Stochastic Processes, Auburn University, Auburn, AL, USA.
  36. March 15-17, 2019, Spring Southeastern Sectional Meeting: Special Session on Clustering Methods and Applications, Auburn University, Auburn, AL, USA.
  37. (Colloquium Talk) February 21, 2019, Department of Mathematics, The University of Iowa, Iowa City, Iowa, USA. 
  38. January 24-27, 2019, Ergodic Theory Workshops, Department of Mathematics, University of North Carolina-Chapel Hill, NC, USA.
  39. January 16, 2019, AMS-ASL Special Session on Algorithmic Dimensions and Fractal Geometry, Joint Mathematics Meetings, January 16-19, 2019, Baltimore, Maryland, USA.
  40. April 21-22, 2018, AMS Spring Eastern Sectional Meeting: Special session on Ergodic Theory and Dynamics on Combinatorial Number Theory, Northeastern University, Boston, MA, USA. 
  41. April 19-22, 2018, Ergodic Theory Workshops, Department of Mathematics, University of North Carolina-Chapel Hill, NC, USA.
  42. April 14-15, 2018, AMS Spring Southeastern Sectional Meeting: Special session on Quantization for Probability Distributions and Dynamical Systems, Vanderbilt University, Nashville, TN, USA. 
  43. (Colloquium Talk) March 16, 2018, Department of Mathematical Sciences, The University of Memphis, Memphis, Tennessee, USA.
  44. (Colloquium Talk) February 09, 2018, Department of Mathematics, The University of Alabama at Birmingham, Birmingham, Alabama, USA. 
  45. (Colloquium Talk) February 08, 2018, Department of Mathematics and Statistics,  University of South Alabama, Mobile, Alabama, USA. 
  46. (Colloquium Talk) November 09, 2017, Department of Mathematics, The City College of New York, New York, USA. 
  47. November 04-05, 2017, AMS Fall Western Sectional Meeting: Special Session on Analysis and Geometry of Fractals, University of California, Riverside, CA, USA.
  48. October 23, 2017, Dynamical Systems Seminar, University of Houston, Houston, TX, USA.
  49. September 23-24, 2017, AMS Southeastern Sectional Meeting: Special session on Fractal Geometry, Dynamical Systems, and Their Applications, University of Central Florida, Orlando, FL, USA.
  50. September 09-10, 2017, AMS Fall Central Sectional Meeting: Special session on Fractal Geometry and Ergodic Theory, University of North Texas, Denton, TX, USA.
  51. July 10, 2017, workshop in Analysis and Probability Seminar, Texas A&M University, College Station, TX, USA.
  52. April 20-23, 2017, Ergodic Theory Workshops, Department of Mathematics, University of North Carolina-Chapel Hill, NC, USA.
  53. April 01-02, 2017, AMS Spring Central Sectional Meeting: Special Session on Dependence in Probability and Statistics, Indiana University, Bloomington, IN, USA.
  54. January 04-07, 2017, Special Session on Measure and Measurable Dynamics (In Memory of Dorothy Maharam, 1917-2014), AMS Joint Mathematics Meetings 2017, Atlanta, GA, USA.
  55. July 1-5, 2016, Special Session on Inverse Limits in Dynamical Systems, at the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA.
  56. July 1-5, 2016, Special Session on Fractal Geometry, Dynamical Systems, and Their Applications, at the 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida, USA.
  57. June 6-10, 2016, Special Session on Centroidal Voronoi Tessellations and Their Applications, SIAM Conference on Discrete Mathematics, Georgia State University, Georgia, USA.
  58. April 16-17, 2016, AMS Spring Central Sectional Meeting: Special session on Ergodic Theory and Dynamical Systems, North Dakota State University, Fargo, ND, USA.  
  59. March 10-13, 2016, 50th Spring Topology and Dynamical Systems Conference, Baylor University, Waco, TX, USA.
  60. October 17-18, 2015, AMS Fall Southeastern Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, University of Memphis, Memphis, TN, USA.
  61. May 18-20, 2015, The Dynamical Systems, Ergodic Theory, and Probability Conference dedicated to the memory of Nikolai Chernov, University of Alabama at Birmingham, USA.
  62. May 14-16, 2015, Special session on Dynamics of Time Series, Dynamical Systems and Quantization at 9th International Conference on Differential Equations and Dynamical Systems, Dallas, Texas, USA.
  63. March 27-29, 2015, AMS Spring Southeastern Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, University of Alabama in Huntsville, Huntsville, Al, USA. 
  64. January 10-13, 2015, Special Session on Topological Measures of Complexity: Inverse Limits, Entropy, and Structures of Attractors, AMS Joint Mathematics Meetings 2015, San Antonio, TX, USA. 
  65. June 2-6, 2014, RTG Research Conference: Logic, Dynamics, and their Interactions II, University of North Texas, TX, USA. 
  66. April 11-13 (Friday-Sunday), 2014, AMS Spring Central Sectional Meeting: Special session on Fractal Geometry and Dynamical Systems, Texas Tech University, Lubbock, Texas, USA. 
  67. March 21-23 (Friday-Sunday), 2014, AMS Southeastern Spring Sectional Meeting: Special session on Fractal Geometry and Ergodic Theory, University of Tennessee, Knoxville, Tennessee, USA.
  68. April 24, 2013, Workshop on Applied Analysis and Differential Equations, Department of Mathematics, University of Texas-Pan American, TX, USA.
  69. April 13, 2013, South Texas Mathematics Consortium, University of Texas at San Antonio, San Antonio, TX, USA.
  70. March 21-24, 2013, Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.
  71. March 1-3, 2013, AMS Spring Southeastern Sectional Meeting: Special session on Fractal Geometry and Ergodic Theory, University of Mississippi, Oxford, MS, USA.
  72. December 17-21, 2012, International Conference on the Theory, Methods and Applications of Nonlinear Equations, Texas A&M University-Kingsville, Texas, USA.
  73. June 4-8, 2012, RTG Research Conference: Logic, Dynamics and their Interactions with a Celebration of the Work of Dan Mauldin, University of North Texas, TX, USA.
  74. March 22-25, 2012, Workshop on Groups, Geometry and Random Structures, Department of Mathematics, Texas A&M University, College Station, Texas, USA.
  75. January 5, 2012, Geometric Functional Analysis & Probability Seminar, Department of Mathematics, Weizmann Institute, ISRAEL.
  76. December 20, 2011, Ergodic Theory and Probability Theory Seminar, Department of Mathematics, Ben-Gurion University of the Negev, ISRAEL.
  77. October 7, 2011, RTG Logic and Dynamics Seminar, University of North Texas, TX, USA.
  78. (Colloquium Talk) July 21, 2011, School of Mathematics, Tata Institute of Fundamental Research (TIFR), Mumbai, INDIA. 
  79. July 08, 2011, Statistics & Probability Seminar, Dept of Mathematics, Indian Institute of Technology (IIT), Mumbai, INDIA. 
  80. March 24-27, 2011, Group action on measure spaces, Texas A&M University, Texas, USA.
  81. February 19, 2011, 19th Annual South Texas Mathematics Consortium, Texas, USA.
  82. January 06-09, 2011, AMS Joint Mathematics Meetings, New Orleans, Louisiana, USA.
  83. January 04-05, 2011, Workshop in Analysis and Geometry, Louisiana State University, Baton Rouge, LA, USA.
  84. May 17-21, 2010, NSF/CBMS Regional Research Conference, The University of Texas-Pan American, USA.
  85. January 13-16, 2010, AMS Joint Mathematics Meetings, San Francisco, California, USA.
  86. November 7-8, 2009, AMS Fall Western Sectional Meetings, University of California, Riverside, CA, USA.
  87. February 19-22, 2009, Probability and Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.
  88. June 18-20, 2008, Pingree Park Dynamics Workshop, Colorado State University, Fort Collins, CO, USA.  .
  89. October 5-6, 2007, AMS Fall Sectional Meetings, Depaul University,Chicago, IL, USA.  
  90. February 16-19, 2006, Probability and Ergodic Theory Workshop at UNC Chapel Hill, NC, USA.
  91. March 19-22, 2005, Maryland-Penn State Dynamics Workshop, University of Maryland, College Park, MD, USA.
  92. February 18-20, 2005, Probability and Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.
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