Research Interest: Quantization: Theory and Applications, Fractal
Geometry and Dynamical Systems.
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.
Publications and some
selected preprints: (arXiv papers may be
updated until they are accepted)
E. Nyanney, M.
Pandey, and M.K. Roychowdhury, Conditional
optimal sets and the quantization
coefficients for some uniform distributions, arXiv:2402.16783
[math.PR].
W. Ott and M.K.
Roychowdhury, Conditional
constrained
quantization for the
Cantor distribution,
arXiv:
P. Biteng,
M. Caguiat, T.
Dominguez, and
M.K. Roychowdhury, Conditional
quantization for
uniform
distributions on
line segments and
regular polygons, arXiv:2402.08036
[math.PR].
C. Hamilton,
E. Nyanney, M. Pandey, and M.K. Roychowdhury,
Conditional constrained and unconstrained
quantization for a uniform distribution on a
hexagon, arXiv:2401.10987
[math.PR].
M.
Pandey and M.K. Roychowdhury,
Optimal quantization for a probability measure on a
nonuniform stretched Sierpinksi triangle, arXiv:1606.00963 [cs.IT].
M. Pandey and
M.K. Roychowdhury, Constrained
quantization for the Cantor distribution
with a family of constraints, arXiv:2401.01958
[math.DS].
P. Biteng,
M. Caguiat, D.
Deb, M.K.
Roychowdhury, and B.
Villanueva, Constrained
quantization for a
uniform distribution, arXiv:2312.16615
[math.PR].
M. Pandey and
M.K. Roychowdhury, Conditional constrained
and unconstrained quantization for
probability distributions, arXiv:2312.02965
[math.PR].
M. Pandey
and M.K. Roychowdhury,
Constrained
quantization for a
uniform distribution
with respect to a
family of
constraints, arXiv:2309.11498
[math.PR].
A.
Priyadarshi, M.K. Roychowdhury and M. Verma, Quantization
dimensions for the bi-Lipschitz recurrent
iterated function systems, arXiv:2212.11454[math.DS].
M. Pandey and
M.K. Roychowdhury, Constrained
quantization for probability distributions,
arXiv:2305.11110
[math.PR].
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].
A.
Priyadarshi, M.K. Roychowdhury and M. Verma, Quantization
dimension for inhomogeneous bi-Lipschitz
IFS, arXiv:2303.14731
[math.PR].
M.K.
Roychowdhury, and K. Simon, Quantization
dimension for self-similar
measures of overlapping
construction, arXiv:2208.11749
[math.DS].
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, arXiv:2207.14152[math.PR].
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, arXiv:2203.12664[math.PR].
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].
R. Cabasag, S.
Huq, E. Mendoza, and M.K. Roychowdhury,
Optimal quantization for discrete distributions, arXiv:2008.03255
[math.PR].
M.K.
Roychowdhury and
S. Verma, A study on Quantization Dimension in
complete metric spaces, arXiv:2005.07840
[math.DS].
J. Atnip,
M.K. Roychowdhury, and M. Urbanski, Quantization
dimension for infinite conformal iterated function
systems, arXiv:1811.00299
[math.DS].
M. Pandey and
M.K. Roychowdhury, Constrained
quantization for the Cantor distribution,
to appear, Journal of Fractal
Geometry.
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.
M.K.
Roychowdhury, Optimal quantization for
some triadic uniform Cantor distributions
with exact bounds, Qualitative
Theory of Dynamical
Systems 21, Article
number: 149
(2022).
J. Rosenblatt
and M.K. Roychowdhury, Uniform
distributions on curves and quantization, Commun.
Korean
Math. Soc. 38 (2023), No. 2, pp.
431–450.
D. Comez
and M.K. Roychowdhury, Canonical
sequences of optimal quantization for condensation
measures, Qualitative
Theory of Dynamical Systems, 21,
Article number: 79 (2022).
D. Comez,
and M.K. Roychowdhury, Quantization
for infinite affine transformations, Fractal
and Fractional 2022, 6 (5), 239.
https://doi.org/10.3390/fractalfract6050239.
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.
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.
M.K.
Roychowdhury, Optimal quantization for mixed
distributions, Real Anal.
Exchange 46(2): 451-484 (2021).
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.
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).
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.
S.
Chakraborty, M.K. Roychowdhury, and
J. Sifuentes, High precision numerical computation
of principal points for univariate distributions, Sankhya
B 83, 558-584 (2021).
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.
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.
J.
Rosenblatt and M.K. Roychowdhury, Optimal
quantization via dynamics,Dynamical
Systems,
Volume 35,
Issue 3, 2020:
522-538.
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
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.
M.K.
Roychowdhury, The quantization of the standard
triadic Cantor distribution,Houston
Journal of
Mathematics,
Volume 46,
Number 2,
2020, Pages
389-407.
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.
D. Comez
and M.K. Roychowdhury, Quantization for uniform
distributions on stretched Sierpinski triangles, Monatshefte
fur Mathematik, Volume 190, Issue 1, 79-100
(2019).
M.K.
Roychowdhury, Optimal quantization for the Cantor
distribution generated by infinite similitudes,Israel Journal of
Mathematics 231 (2019), 437-466.
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,Uniform Distribution
Theory 13 (2018), no. 2,
23-55.
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 infinite systems, Kyoto Journal of
Mathematics, Vol. 55, No. 4 (2015), 857-873.
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.
M.K.
Roychowdhury, Hausdorff
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.
Preprint:
E.
Mihailescu and M.K. Roychowdhury, A class of
measures and non-stationary fractals associated to
f-expansions, arXiv:1308.5543 [math.DS].
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).
September
2020 - Present, Professor, School
of Mathematical and Statistical Sciences,
University of Texas Rio Grande Valley, Edinburg, TX
78539, USA.
September
2015 - August 2020, 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.
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.
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); (5) Wasiela Salinas (Project, Summer II
2019); (6) Itzamar
Marquez (Project,
Summer II 2020); (7) Eduardo Orozco (Thesis,
Spring 2021), (8) Iris Angeles (Project, Summer II
2021);
(9) Ogla Lopez (Project, Spring 2022); (10)
Gustavo Fernandez (Project, Summer I 2022);
(11) Asha Barua (Thesis, Summer II 2022); (12)
Sergio Soto Quintero (Project, Summer II
2022); (13) Daniel J. Vallez (Project, Spring
2023);
(14) Beatriz Vela Villanueva (Project, Summer II
2023); (15) Ramiro Leal Garcia
(Project, Fall 2023);
(16) Tsianna Dominguez (Thesis,
Spring 2024); (17)
Christina Hamilton (Thesis,
Summer 2024); (18) Dipok Deb (Thesis,
Summer 2024); (19) Evans Nyanney (Thesis, Summer
2024).
Senior
Undergraduate Research Project Students: (1) Emilio Cortez
(Fall 2012); (2) Daisy Gonzalez
(Fall 2012); (3) Elia
Valenzuela (Spring 2013); (4) Hector
Solis (Spring
2013); (5) Ricardo Villescas (Spring 2013); (6) Ana
Hernandez (Spring
2013); (7) Karen
Leal (Fall 2013); (8) Luis Trevino (Fall 2013); (9) Eduardo Orozco (Fall
2017); (10) Tsianna D. Dominguez
(Spring 2019); (11) Alicia Tinajero (Fall 2021); (12)
Ashley Gomez (Spring 2022); (13) Jesus A. Flores (Fall
2022); (14) Michael Vazquez (Fall 2022);
(15) Alexis Salazar (Spring 2023);
(16) Jose Vivian (Fall 2023).
MSA High
School Student Research Projects (under UTRGV
High Scholars Program):
(1) Satya Holla (Summer of 2017); (2) Rosendo Torres,
and (3) Alejandro Escobedo (Summer of 2018); (4)
Youssef Galal (Summer of 2019); (5)
Russel Cabasag, (6) Samir Huq, and (7) Eric Mendoza
(Spring and Summer of 2020); (8) Joel Hansen (Summer of
2020); (9) Mariam Daghestani, and (10)
Dylan Wu (Summer of 2021); (11) Angelina
Chavera, and (12) Ivan Djordjevic (Summer of
2022); (13) Haily Martinez (Fall 2022, Spring
2023); (14) Juan Gomez (Spring 2023); (15)
Pigar Biteng (Summer
and Fall 2023,
Spring 2024);
(16)
Mathieu Caguiat (Summer and Fall
2023,
Spring 2024).
Students
under UTRGV Math Pathways Summer REU
program: (1) Valerie Manzano (Summer
2022); (2) Hilda
Tejeda (Summer
2022);
Home Conference/symposium/special-session
organized:
AMS
Sectional
Meeting#1190: Special
Session on Ergodic
Theory and Dynamical
Systems
(organizers: Joannna
Marie Furno
and M.K.
Roychowdhury), AMS
Fall Southeastern
Sectional Meeting,
October 13-15, 2023
(Friday - Sunday),
University of South
Alabama, Mobile, AL.
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).
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).
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).
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).
May 14-17,
2024, Dynamical
Systems and Fractal
Geometry Conference,
University of North
Texas, Denton, TX,
USA.
April 06,
2024, 8th Coastal Bend
Mathematics and
Statistics Conference,
Texas A&M
University,
Kingsville, TX,
USA.
October
13-15, 2023, AMS
Fall
Southeastern
Sectional
Meeting: Special
Session on
Ergodic Theory
and Dynamical
Systems,
University of
South Alabama,
Mobile, AL.
October 06,
2023, Statistics and Data Science Day, University of
Texas Rio Grande Valley, Edinburg, TX 78539, USA.
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.
April 01-02,
2023, AMS Spring
Eastern Sectional
Meeting, meeting
virtually: Special
Session on
Fractal
Geometry and
Dynamical
Systems, USA.
March 18-19,
2023, AMS
Spring
Southeastern
Sectional
Meeting,
Georgia
Institute of
Technology,
Atlanta, GA:
Special
Session on
Fractal
Geometry and
Dynamical
Systems, USA.
(Colloquium
Talk) January
18,
2023,
Department of
Mathematics
and
Statistics,
Indian
Institute of
Technology
(IIT)
Tirupati,
INDIA.
(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.
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.
September 16-17, 2022, The
12th BUAP-UAM-I-UTRGV Joint International
Conference, University of Texas Rio Grande Valley,
Texas, USA.
July 29-31,
2022, Workshop in Analysis and Probability, Department
of Mathematics, Texas A&M University, College
Station, Texas, USA.
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.
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.
(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.
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.
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.
January
06, 2021,
Special
Session on
Quantization
for
Probability
Distributions
and Dynamical
Systems,Joint
Mathematics
Meetings,
January 06-09,
2021, happened
virtually,
USA.
January
18, 2020, Special
Session on
Quantization
for
Probability
Distributions
and Dynamical
Systems,
January 15-18,
2020, Denver, Colorado, USA.
November
09-10, 2019,
AMS
Fall
Western
Sectional
Meeting:
Special
Session on
Dynamical
Systems and
Ergodic
Theory,
University of
California,
Riverside, CA, USA.
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.
November 02-03, 2019, AMS Fall
Southeastern Sectional Meeting: Special
session
on Fractal Geometry and Dynamical Systems, University
of Florida, Gainesville, FL, USA.
July 10, 2019, Workshop in Analysis and
Probability, Texas A&M
University, College Station, TX,
USA.
May
02, 2019, BUAP-UAM-I-UTRGV
Joint
Functional
Analysis
Workshop,
University of
Texas Rio
Grande Valley,
Edinburg,
Texas, USA.
April
27,
2019,
Statistics
Day, Texas
A&M
University,
Kingsville,
Texas, USA.
(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.