- AMS Special Session on Fractal Geometry and Dynamical Systems, University of Florida, Gainesville, FL, USA, November 2-3, 2019 (Saturday - Sunday)
- AIMS Special Session on Fractal Geometry, Dynamical Systems, and Their Applications, Atlanta, USA, June 5-9, 2020

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

Teaching and Evaluations:

- Current Teaching (Fall
2018):
**Calculus II - 60194 - MATH 2414 - 05****and MATH 3341-02-Diff Equations**

- Previous Teaching: To see my previous teaching click here.
- Teaching Evaluations:
To see the evaluations of my teaching click here.

Education:

- Ph.D.
(Mathematics), Dept of
Mathematics, Wesleyan
University, Middletown, CT-06459, USA, May
2005. PhD Dissertation Title: Finitary
Orbit Equivalence; PhD Thesis advisor: Professor
Michael S. Keane; Postdoctoral
supervisor: Professor
Daniel J. Rudolph.

- M.Sc. (Mathematics with specialization in Adavanced Functional Analysis and Advanced Topology), Jadavpur University, Kolkata, India.

Research Interest: Quantization: Theory and Applications, Fractal
Geometry and Dynamical Systems.

Home

Research Grant:

Home

Research Grant:

- U.S. National Security Agency (NSA), Grant
#H98230-14-1-0320, Award
Period: 09/12/2014 - 09/11/2016, PI.

Publications and some selected preprints:

- G. Pena, H.
Rodrigo, M. Roychowdhury, J. Sifuentes, and E. Suazo,
*Quantization for uniform distributions on hexagonal, semicircular, and elliptical curves,*arXiv:1902.03887 [math.PR]. - M.K.
Roychowdhury, and
B. Selmi,
*Estimate of some measure-dimensions associated with hyperbolic recurrent IFS,*

- M.K.
Roychowdhury,
*Optimal quantization for some triadic uniform Cantor distributions with exact bounds,*arXiv:1811.06845 [math.DS].

- J. Atnip,
M.K. Roychowdhury, and M. Urbanski,
*Quantization dimension for infinite conformal iterated function systems,*arXiv:1811.00299 [math.DS].

- M.K.
Roychowdhury,
*The quantization of the standard triadic Cantor distribution,*arXiv:1809.07913 [math.DS].

- J.
Rosenblatt and M.K. Roychowdhury,
*Uniform distributions on curves and quantization,*

- J.
Rosenblatt and M.K. Roychowdhury,
*Shrinking targets in dynamical systems,*

- J.
Rosenblatt and M.K. Roychowdhury,
*Optimal quantization via dynamics,* - M.K.
Roychowdhury,
*Center of mass and the optimal quantizers for some continuous and discrete uniform distributions,* - S.
Chakraborty, M.K. Roychowdhury, and J. Sifuentes,
*High precision numerical computation of principal points for univariate distributions,* - M.K.
Roychowdhury,
*An overview of the quantization for mixed distributions,* - D. Comez
and M.K. Roychowdhury,
*Canonical sequences of optimal quantization for condensation measures**,*arXiv:1705.08811 [math.DS]. - M.K.
Roychowdhury,
*Optimal quantizers for probability distributions on nonhomogeneous R-triangles**,* - D. Comez
and M.K. Roychowdhury,
*Quantization of probability distributions on R-triangles**,*arXiv:1605.09701 [math.DS].

- M.K.
Roychowdhury,
*Nonhomogeneous distributions and optimal quantizers for Sierpiński carpets,* - D. Comez
and M.K. Roychowdhury,
*Probability distributions supported on sets generated by infinite affine transformations and optimal quantization**,*arXiv:1604.04261 [math.DS].

- L.
Roychowdhury and M.K. Roychowdhury,
*Optimal quantization for infinite nonhomogeneous distributions on the real line,*arXiv:1603.00731 [math.DS]. - C.P. Dettmann
and M.K. Roychowdhury,
*An algorithm to compute CVTs for finitely generated Cantor distributions,*

- D. Comez
and M.K. Roychowdhury,
*Quantization for uniform distributions of Cantor dusts on $\mathbb{R}^2$**,*arXiv:1511.01990 [math.DS]. - M.K.
Roychowdhury,
*Topological pressure and fractal dimensions of cookie-cutter-like sets,*to appear, Southeast Asian Bulletin of Mathematics.

- M.K.
Roychowdhury,
*Optimal quantization for the Cantor distribution generated by infinite similutudes,*

- 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. - J.
Rosenblatt and M.K. Roychowdhury,
*Optimal quantization for piecewise uniform distributions,* - M.K.
Roychowdhury,
*Optimal quantizers for some absolutely continuous probability measures**,*Real Analysis Exchange, Vol. 43(1), 2017, pp. 105-136. - M.K.
Roychowdhury,
*Quantization and centroidal Voronoi tessellations for probability measures on dyadic Cantor sets,*Journal of Fractal Geometry, 4 (2017), 127–146.

- C.P.
Dettmann and M.K. Roychowdhury,
*Quantization for uniform distributions on equilateral triangles**,*Real Analysis Exchange, Vol. 42(1), 2017, pp. 149-166.

- E.
Mihailescu and M.K. Roychowdhury,
*Quantization coefficients in infin**ite systems*, Kyoto Journal of Mathematics, Vol. 55, No. 4 (2015), 857-873.

- M.K.
Roychowdhury and N. Snigireva,
Journal of Mathematical Analysis and Applications, Vol. 431 (2015), 737-751.*Asymptotic of the geometric mean error in the quantization of recurrent self-similar measures*,

- M.K.
Roychowdhury,
*H**ausdorff and upper box dimension estimate of hyperbolic recurrent sets*, Israel Journal of Mathematics, 201 (2014), 507–523.

- M.K.
Roychowdhury,
*Quantization dimension estimate of probability measures on hyperbolic recurrent sets,*Dynamical Systems, Vol. 29, No. 2, 225-238, 2014. - 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.

- M.K.
Roychowdhury, Quantization
dimension for Gibbs-like measures on cookie-cutter
sets, Kyoto Journal
of Mathematics, Vol. 54, No. 2 (2014), 239-257.

- M.K. Roychowdhury, Quantization dimension estimate for condensation systems of conformal mappings, Real Analysis Exchange, 2013, Vol. 38, Issue 2, p 317-335.
- 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.

- M.K. Roychowdhury, Quantization dimension and temperature function for bi-Lipschitz mappings, Israel Journal of Mathematics, 192 (2012), 473-488.
- M.K. Roychowdhury, Quantization dimension for infinite self-similar probabilities, Journal of Mathematical Analysis and Applications, 383 (2011), 499–505.
- M.K. Roychowdhury, Quantization dimension and temperature function for recurrent self-similar measures, Chaos, Solitons & Fractals, 44 (2011), 947-953.
- M.K.
Roychowdhury, Lower
quantization coefficient and the F-conformal measure,
Colloquium Mathematicum, 122
(2011), 255-263.

- M.K.
Roychowdhury, Quantization
dimension function and Gibbs measure associated with
Moran set, Journal of
Mathematical Analysis and Applications, 373 (2011), 73-82.

- 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.
- M.K. Roychowdhury, Quantization dimension for some Moran measures, Proceedings of the American Mathematical Society, 138 (2010), 4045-4057.
- 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.
- M.K.
Roychowdhury, Quantization
dimension function and ergodic measure with bounded
distortion, Bulletin of the Polish Academy of
Sciences Mathematics, 57 (2009), 251-262.

- 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.
- M.K. Roychowdhury and D.J. Rudolph, Any two irreducible Markov chains are finitarily orbit equivalent, Israel Journal of Mathematics, 174 (2009), 349–368.
- 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.
- 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.
- T. Hamachi, M.S. Keane and M.K. Roychowdhury, Finitary orbit equivalence and measured Bratteli diagrams, Colloquium Mathematicum, 110 (2008), no. 2, 363-382.
- 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.
- 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.
- M.K. Roychowdhury, $\{m_n\}$-odometer and the binary odometer are finitarily orbit equivalent, Contemporary Mathematics, AMS, 430 (2007), 123-134.

- E.
Mihailescu and M.K. Roychowdhury,
*A class of measures and non-stationary fractals associated to f-expansions,*arXiv:1308.5543 [math.DS].

Research Visit:

- Dept of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, ISRAEL, December 18, 2011 to January 08, 2012 for three weeks (invited by Professor Michael Lin).
- Dept of
Mathematics, Kyushu University, Fukuoka, JAPAN,
January 07 to January 20, 2007 for two weeks (invited
by Professor Toshi Hamachi).

Academic Award: Gold Medal (for the highest examination score
in B.Sc.(Mathematics Honors) in the Tripura University
system, Tripura, INDIA.

Home

Home

Professional Qualifications:

- September
2015 - Present, Associate
Professor, School
of Mathematical and Statistical Sciences,
University of Texas Rio Grande Valley, Edinburg, TX
78539, USA.

- September 2014 - August 2015, Associate Professor, Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78539, USA.
- June 01 to
July 31, 2011, Visiting
Scientist, School
of Mathematics, Tata Institute of Fundamental
Research (TIFR) (National Center of the
Government of India for Nuclear Science and
Mathematics), Mumbai, INDIA.

- September 2008 - August 2014, Assistant Professor, Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78539, USA.
- September 2007 to August 2008, Visiting Assistant Professor, Dept of Mathematics, University of North Texas, Denton, TX, USA.
- August 2005 to August 2007, Postdoctoral Fellow, Dept of Mathematics, Colorado State Univeristy to work in Ergodic Theory with Professor Daniel J. Rudolph, Fort Collins, CO, USA.
- June-July 2005, Mathematics Teacher, Wesleyan Upward Bound/ConnCAP, Wesleyan University, CT, USA.
- September 2001 to May 2005, Graduate Teaching Assistant, Dept of
Mathematics, Wesleyan University,
Middletown, CT, USA.

- February 1997 to August 2001, Assistant Teacher of Mathematics, Netaji Subhash Vidyaniketan (Higher Secondary School), Agartala, Tripura, INDIA.

Student Supervision:

- Master's
Students: (1) Hugo Edgar Olvera (Thesis, Spring 2014), (2) Shankar
Parajulee (Thesis, Fall 2018), (3) Bryan K. Neal
(Project, Fall 2018), (4) Gabriela Pena (Project,
Spring 2019).

- Senior
Undergraduate Research Project: Emilio Cortez
(Fall 2012), Daisy Gonzalez
(Fall 2012), Elia
Valenzuela (Spring 2013), Hector Solis
(Spring 2013),
Ricardo Villescas (Spring 2013), Ana Hernandez
(Spring 2013), Karen
Leal (Fall 2013), Luis Trevino (Fall 2013), Eduardo Orozco (Fall
2017).

- High School
Students: Satya Holla (Summer of 2017 under UTRGV High
Scholars Program); Rosendo Torres and
Alejandro Escobedo (Summer of 2018 under UTRGV High
Scholars Program).

Conference/symposium/special-session organized:

- 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.

- 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.

- 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.
- 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.

- 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.
- 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.

- 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.
- AMS Sectional Meeting#1113: Special session on Fractal Geometry and Dynamical Systems, October 17-18, 2015 (Saturday-Sunday), University of Memphis, Memphis, TN, USA.
- 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.
- 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).
- 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).
- 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).
- 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).
- 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).
- Symposium
on Fractal Geometry, Quantization Dimension and
Related Topics, within
ICNAAM 2012, Kypriotis Hotels and Conference Center,
Kos, Greece, 19-25 September, 2012.

Talks:

- (Colloquium Talk) April 12, 2019, Department of Mathematics, The University of Texas at San Antonio, San Antonio, Texas, USA.
- March
23, 2019, 4
^{th}Coastal Bend Mathematics and Statistics Conference, University of Texas Rio Grande Valley, Edinburg, Texas, USA. - March 15-17, 2019, Spring Southeastern Sectional Meeting: Special Session on Probability and Stochastic Processes, Auburn University, Auburn, AL, USA.
- March 15-17, 2019, Spring Southeastern Sectional Meeting: Special Session on Clustering Methods and Applications, Auburn University, Auburn, AL, USA.
- (Colloquium
Talk) February
21, 2019,
Department of
Mathematics,
The University
of Iowa, Iowa City, Iowa,
USA.

- January
24-27, 2019, Ergodic Theory
Workshops, Department of
Mathematics, University of North
Carolina-Chapel Hill, NC, USA.

- January
16, 2019,
AMS-ASL
Special
Session on
Algorithmic
Dimensions and
Fractal
Geometry,
Joint
Mathematics
Meetings,
January 16-19,
2019, Baltimore,
Maryland, USA.

- 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.
- April 19-22, 2018, Ergodic Theory Workshops, Department of Mathematics, University of North Carolina-Chapel Hill, NC, USA.
- April 14-15, 2018, AMS Spring Southeastern Sectional Meeting: Special session on Quantization for Probability Distributions and Dynamical Systems, Vanderbilt University, Nashville, TN, USA.
- (Colloquium
Talk) March
16, 2018,
Department of
Mathematical
Sciences, The
University
of Memphis, Memphis,
Tennessee,
USA.

- (Colloquium
Talk) February
09, 2018,
Department of
Mathematics,
The University
of Alabama at
Birmingham,
Birmingham,
Alabama,
USA.

- (Colloquium
Talk) February
08, 2018,
Department of
Mathematics
and
Statistics,
University
of South
Alabama,
Mobile,
Alabama,
USA.

- (Colloquium
Talk) November
09, 2017,
Department of
Mathematics, The
City College
of New York, New
York,
USA.

- November 04-05, 2017, AMS Fall Western Sectional Meeting: Special Session on Analysis and Geometry of Fractals, University of California, Riverside, CA, USA.
- October 23, 2017,
Dynamical Systems Seminar, University of Houston, Houston,
TX, USA.

- 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.
- September 09-10, 2017, AMS Fall Central Sectional Meeting: Special session on Fractal Geometry and Ergodic Theory, University of North Texas, Denton, TX, USA.
- July 10, 2017, Workshop in Analysis and
Probability Seminar, Texas A&M
University, College Station, TX,
USA.

- April 20-23, 2017,
Ergodic Theory Workshops,
Department of Mathematics,
University of North
Carolina-Chapel Hill, NC, USA.

- April 01-02, 2017, AMS Spring Central Sectional Meeting: Special Session on Dependence in Probability and Statistics, Indiana University, Bloomington, IN, USA.
- 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.

- 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.
- 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.
- June 6-10,
2016, Special
Session on Centroidal Voronoi Tessellations
and Their Applications,
SIAM Conference on Discrete Mathematics, Georgia State
University, Georgia, USA.

- April 16-17, 2016, AMS Spring Central Sectional Meeting: Special session on Ergodic Theory and Dynamical Systems, North Dakota State University, Fargo, ND, USA.
- March 10-13,
2016, 50th Spring
Topology and Dynamical Systems Conference, Baylor
University, Waco, TX, USA.

- October
17-18, 2015, AMS Fall
Southeastern Sectional Meeting: Special session on Fractal
Geometry and Dynamical Systems, University of
Memphis, Memphis, TN, USA.

- 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.

- 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.

- 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.
- 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.
- June 2-6,
2014, RTG Research Conference: Logic,
Dynamics, and their Interactions II, University of
North Texas, TX, USA.

- 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.
- 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.

- April 24, 2013, Workshop on Applied Analysis and Differential Equations, Department of Mathematics, University of Texas-Pan American, TX, USA.
- April 13,
2013, South Texas Mathematics Consortium, University
of Texas at San Antonio, San Antonio, TX, USA.

- March 21-24, 2013, Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.
- March 1-3,
2013, AMS Spring Southeastern Sectional Meeting: Special session on Fractal Geometry and
Ergodic Theory, University of Mississippi, Oxford, MS,
USA.

- December 17-21, 2012, International Conference on the Theory, Methods and Applications of Nonlinear Equations, Texas A&M University-Kingsville, Texas, USA.
- 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.

- March 22-25, 2012, Workshop on Groups, Geometry and Random Structures, Department of Mathematics, Texas A&M University, College Station, Texas, USA.
- January 5, 2012, Geometric Functional Analysis & Probability Seminar, Department of Mathematics, Weizmann Institute, ISRAEL.
- December 20, 2011, Ergodic Theory and Probability Theory Seminar, Department of Mathematics, Ben-Gurion University of the Negev, ISRAEL.
- October 7, 2011, RTG Logic and Dynamics Seminar, University of North Texas, TX, USA.
- (Colloquium Talk) July 21, 2011, School of Mathematics, Tata Institute of Fundamental Research (TIFR), Mumbai, INDIA.
- July 08, 2011, Statistics & Probability Seminar, Dept of Mathematics, Indian Institute of Technology (IIT), Mumbai, INDIA.
- March 24-27, 2011, Group action on measure spaces, Texas A&M University, Texas, USA.
- February 19, 2011, 19th Annual South Texas Mathematics Consortium, Texas, USA.
- January 06-09, 2011, AMS Joint Mathematics Meetings, New Orleans, Louisiana, USA.
- January 04-05, 2011, Workshop in Analysis and Geometry, Louisiana State University, Baton Rouge, LA, USA.
- May 17-21,
2010, NSF/CBMS Regional Research Conference, The
University of Texas-Pan American, USA.

- January
13-16, 2010, AMS Joint Mathematics Meetings, San
Francisco, California, USA.

- November
7-8, 2009, AMS Fall Western Sectional Meetings,
University of California, Riverside, CA, USA.

- February 19-22, 2009, Probability and Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.
- June 18-20, 2008, Pingree Park Dynamics Workshop, Colorado State University, Fort Collins, CO, USA. .
- October
5-6, 2007, AMS Fall Sectional Meetings, Depaul
University,Chicago, IL, USA.

- February 16-19, 2006, Probability and Ergodic Theory Workshop at UNC Chapel Hill, NC, USA.
- March 19-22, 2005, Maryland-Penn State Dynamics Workshop, University of Maryland, College Park, MD, USA.
- February 18-20, 2005, Probability and Ergodic Theory Workshop, Department of Mathematics, UNC Chapel Hill, NC, USA.

Some Interesting Links: