HR job title
- Professor
- Contact Info
Anshelevich, Michael Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
My research interests lie in free probability, and more broadly in the study of operator algebras, combinatorics, orthogonal polynomials, and probability theory.
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
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Overview
Publications
selected publications
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academic article
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Anshelevich, M., & Pritchett, A.
(2023).
The Concentration of the Product of Exponentials Around the Exponential of the Sum. American Mathematical Monthly.
130(6), 503-514.
-
Anshelevich, M., & Wang, Z.
(2020).
Higher variations for free Levy processes. Studia Mathematica.
252(1), 49-81.
-
Anshelevich, M., & Williams, J. D.
(2018).
Operator-valued Jacobi parameters and examples of operator-valued distributions. Bulletin des Sciences Mathematiques.
145, 1-37.
-
Anshelevich, M.
(2016).
A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind. Integral Transforms and Special Functions.
27(4), 307-317.
-
Anshelevich, M.
(2015).
FREE EVOLUTION ON ALGEBRAS WITH TWO STATES, II. PACIFIC JOURNAL OF MATHEMATICS.
276(2), 257-280.
-
Anshelevich, M., Wang, J., & Zhong, P.
(2014).
Local limit theorems for multiplicative free convolutions. Journal of Functional Analysis.
267(9), 3469-3499.
-
Anshelevich, M., & Williams, J. D.
(2014).
Limit Theorems for Monotonic Convolution and the Chernoff Product Formula. International mathematics research notices.
2014(11), 2990-3021.
-
Anshelevich, M.
(2013).
Generators of some non-commutative stochastic processes. Probability Theory and Related Fields.
157(3-4), 777-815.
-
Anshelevich, M., Belinschi, S. T., Fevrier, M., & Nica, A.
(2013).
CONVOLUTION POWERS IN THE OPERATOR-VALUED FRAMEWORK. Transactions of the American Mathematical Society.
365(4), 2063-2097.
-
Anshelevich, M., & Mlotkowski, W.
(2012).
Semigroups of Distributions with Linear Jacobi Parameters. Journal of Theoretical Probability.
25(4), 1173-1206.
-
Anshelevich, M., & Sengupta, A. N.
(2012).
Quantum free Yang-Mills on the plane. Journal of Geometry and Physics.
62(2), 330-343.
-
Anshelevich, M.
(2011).
Bochner-Pearson-type characterization of the free Meixner class. Advances in Applied Mathematics.
46(1-4), 25-45.
-
Anshelevich, M.
(2011).
Two-state free Brownian motions. Journal of Functional Analysis.
260(2), 541-565.
-
Anshelevich, M.
(2010).
Free evolution on algebras with two states. Journal für die Reine und Angewandte Mathematik.
638(638), 75-101.
-
Anshelevich, M.
(2009).
Appell Polynomials and Their Relatives II. Boolean Theory. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
58(2), 929-968.
-
Anshelevich, M.
(2009).
APPELL POLYNOMIALS AND THEIR RELATIVES III. CONDITIONALLY FREE THEORY. Illinois Journal of Mathematics.
53(1), 39-66.
-
Anshelevich, M.
(2008).
Orthogonal polynomials with a resolvent-type generating function. Transactions of the American Mathematical Society.
360(8), 4125-4143.
-
Anshelevich, M.
(2008).
Monic non-commutative orthogonal polynomials. Proceedings of the American Mathematical Society.
136(7), 2395-2405.
-
Anshelevich, M.
(2007).
Free Meixner states. Communications in Mathematical Physics.
276(3), 863-899.
-
Anshelevich, M., Effros, E. G., & Popa, M.
(2006).
Zimmermann type cancellation in the free Faa di Bruno algebra. Journal of Functional Analysis.
237(1), 76-104.
-
Anshelevich, M.
(2005).
Linearization coefficients for orthogonal polynomials using stochastic processes. Annals of Probability.
33(1), 114-136.
-
Anshelevich, M.
(2004).
Appell polynomials and their relatives. International mathematics research notices.
2004(65), 3469-3531.
-
Anshelevich, M.
(2003).
Free martingale polynomials. Journal of Functional Analysis.
201(1), 228-261.
-
Anshelevich, M.
(2002).
Free stochastic measures via noncrossing partitions II. PACIFIC JOURNAL OF MATHEMATICS.
207(1), 13-30.
-
Anshelevich, M.
(2002).
Ito formula for free stochastic integrals. Journal of Functional Analysis.
188(1), 292-315.
-
Anshelevich, M.
(2000).
Free stochastic measures via noncrossing partitions. Advances in Mathematics.
155(1), 154-179.
-
Anshelevich, M.
(1999).
The linearization of the central limit operator in free probability theory. Probability Theory and Related Fields.
115(3), 401-416.
-
Anshelevich, M.
Product Formulas on Posets, Wick Products, and a Correction for the q-Poisson Process
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Anshelevich, M., & Williams, J. D.
OPERATOR-VALUED MONOTONE CONVOLUTION SEMIGROUPS AND AN EXTENSION OF THE BERCOVICI-PATA BIJECTION. DOCUMENTA MATHEMATICA.
-
Anshelevich, M.
Partition-dependent stochastic measures and $q$-deformed cumulants
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Anshelevich, M., & Arizmendi, O.
The Exponential Map in Non-commutative Probability
-
Anshelevich, M., & Pritchett, A.
(2023).
The Concentration of the Product of Exponentials Around the Exponential of the Sum. American Mathematical Monthly.
130(6), 503-514.
-
conference paper
-
Anshelevich, M.
(2010).
Product-type non-commutative polynomial states. Banach Center Publications.
45-59.
-
Anshelevich, M.
(2010).
Product-type non-commutative polynomial states. Banach Center Publications.
45-59.
-
institutional repository document
-
Anshelevich, M., & Mashburn, J.
(2022).
Fock representation of free convolution powers
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Anshelevich, M., & Pritchett, A.
(2022).
Product of exponentials concentrates around the exponential of the sum
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Anshelevich, M., & Mashburn, J.
(2021).
Some Fock spaces with depth two action
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Anshelevich, M., Gaikema, M., Hansalik, M., He, S., & Mehlhop, N.
(2017).
Expansion of permutations as products of transpositions
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Anshelevich, M., & Arizmendi, O.
(2016).
The exponential map in non-commutative probability
-
Anshelevich, M., Wang, J., & Zhong, P.
(2013).
Local limit theorems for multiplicative free convolutions
-
Anshelevich, M.
(2012).
Free evolution on algebras with two states II
-
Anshelevich, M., Belinschi, S. T., Fevrier, M., & Nica, A.
(2011).
Convolution powers in the operator-valued framework
-
Anshelevich, M., & Sengupta, A. N.
(2011).
Quantum Free Yang-Mills on the Plane
-
Anshelevich, M.
(2011).
Generators of some non-commutative stochastic processes
-
Anshelevich, M.
(2010).
Two-state free Brownian motions
-
Anshelevich, M., & Motkowski, W.
(2010).
The free Meixner class for pairs of measures
-
Anshelevich, M., Belinschi, S. T., Bozejko, M., & Lehner, F.
(2010).
Free Infinite Divisibility for Q-Gaussians
-
Anshelevich, M., & Motkowski, W.
(2010).
Semigroups of distributions with linear Jacobi parameters
-
Anshelevich, M.
(2009).
Bochner-Pearson-type characterization of the free Meixner class
-
Anshelevich, M.
(2008).
Product-type non-commutative polynomial states
-
Anshelevich, M.
(2008).
Appell polynomials and their relatives III. Conditionally free theory
-
Anshelevich, M.
(2008).
Free evolution on algebras with two states
-
Anshelevich, M.
(2007).
Appell polynomials and their relatives II. Boolean theory
-
Anshelevich, M.
(2007).
Free Meixner states
-
Anshelevich, M.
(2007).
Monic non-commutative orthogonal polynomials
-
Anshelevich, M., Effros, E. G., & Popa, M.
(2005).
Zimmermann Type Cancellation in the Free Faa di Bruno Algebra
-
Anshelevich, M.
(2004).
Orthogonal polynomials with a resolvent-type generating function
-
Anshelevich, M.
(2003).
Appell polynomials and their relatives
-
Anshelevich, M.
(2003).
q-Levy processes
-
Anshelevich, M.
(2001).
Free martingale polynomials
-
Anshelevich, M.
(2001).
Free stochastic measures via noncrossing partitions II
-
Anshelevich, M.
(2001).
Ito formula for free stochastic integrals
-
Anshelevich, M.
(1999).
Free stochastic measures via noncrossing partitions
-
Anshelevich, M.
A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
-
Anshelevich, M., & Buzinski, D.
Hermite trace polynomials and chaos decompositions for the Hermitian Brownian motion
-
Anshelevich, M., & Williams, J. D.
Limit theorems for monotonic convolution and the Chernoff product formula
-
Anshelevich, M.
Linearization coefficients for orthogonal polynomials using stochastic processes
-
Anshelevich, M., & Williams, J. D.
Operator-Valued Monotone Convolution Semigroups and an Extension of the Bercovici-Pata Bijection
-
Anshelevich, M., & Williams, J. D.
Operator-valued Jacobi parameters and examples of operator-valued distributions
-
Anshelevich, M.
The linearization of the central limit operator in free probability theory
-
Anshelevich, M., & Mashburn, J.
(2022).
Fock representation of free convolution powers
Research
principal investigator on
co-principal investigator on
Teaching
teaching activities
- MATH152 Engineering Math Ii Instructor
- MATH172 Hnr-calculus Instructor
- MATH220 Foundations Of Math Instructor
- MATH300 Foundations Of Math Instructor
- MATH311 Top In Applied Math I Instructor
- MATH323 Hnr-linear Algebra Instructor
- MATH446 Principles Of Analysis I Instructor
- MATH447 Princ Of Analysis Ii Instructor
- MATH491 Research Instructor
- MATH607 Real Variables I Instructor
- MATH608 Real Variables Ii Instructor
- MATH615 Intro Classical Analysis Instructor
- MATH685 Directed Studies Instructor
- MATH689 Sptp:random Matrice Ii Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Wang, Zhichao (2018-04). Convergence of the Powers of Free Triangular Arrays to Higher Variations of Free Levy Processes.
Background
education and training
- Ph.D. in Mathematics, University of California, Berkeley - (Berkeley, California, United States) 2000
- M.A. in Mathematics, University of California, Berkeley - (Berkeley, California, United States) 1997
- B.S. in Mathematics, California Institute of Technology - (Pasadena, California, United States) 1994
awards and honors
Contact
first name
- Michael
has last name
- Anshelevich
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- manshel@tamu.edu