HR job title
- Professor
- Contact Info
- 1 979 845 6679
Anshelevich, Michael Professor
Positions
- Professor, Mathematics, College of Science
My research interests include functional analysis, operator algebras, free probability theory, Probability theory, stochastic processes, combinatorics, orthogonal polynomials, and umbral calculus.
- Overview
- Publications
- Research
- Teaching
- Works By Students
- Background
- Contact
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Overview
Publications
selected publications
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academic article
-
Anshelevich, M., & Wang, Z.
(2020).
Higher variations for free Lévy processes. Studia Mathematica.
252(1), 49-81.
-
Anshelevich, M.
(2020).
Product formulas on posets, wick products, and a correction for the q-Poisson process. INDIANA UNIVERSITY MATHEMATICS JOURNAL.
69(6), 2129-2170.
-
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., & Arizmendi, O.
(2016).
The Exponential Map in Non-commutative Probability. International Mathematics Research Notices.
2017(17), rnw164-5342.
-
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., & Williams, J. D.
(2016).
OPERATOR-VALUED MONOTONE CONVOLUTION SEMIGROUPS AND AN EXTENSION OF THE BERCOVICI-PATA BIJECTION. DOCUMENTA MATHEMATICA.
21(2016), 841-872.
-
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.
(2013).
Limit Theorems for Monotonic Convolution and the Chernoff Product Formula. International Mathematics Research Notices.
2014(11), 2990-3021.
-
Anshelevich, M.
(2012).
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.
(2012).
Convolution powers in the operator-valued framework. Transactions of the American Mathematical Society.
365(4), 2063-2097.
-
Anshelevich, M., & Motkowski, 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 FUR DIE REINE UND ANGEWANDTE MATHEMATIK.
2010(638), 75-101.
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Anshelevich, M., Belinschi, S. T., Bozejko, M., & Lehner, F.
(2010).
Free Infinite Divisibility for $q$-Gaussians. Mathematical Research Letters.
17(5), 905-916.
-
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).
Monic non-commutative orthogonal polynomials. Proceedings of the American Mathematical Society.
136(7), 2395-2405.
-
Anshelevich, M.
(2008).
Orthogonal polynomials with a resolvent-type generating function. Transactions of the American Mathematical Society.
360(8), 4125-4143.
-
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 Faà di Bruno algebra. Journal of Functional Analysis.
237(1), 76-104.
-
Anshelevich, M.
(2005).
Linearization coefficients for orthogonal polynomials using stochastic processes. The 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.
(2004).
q-Lévy processes. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK.
2004(576), 181-207.
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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.
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Anshelevich, M.
(2002).
Itô 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., & Wang, Z.
(2020).
Higher variations for free Lévy processes. Studia Mathematica.
252(1), 49-81.
-
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.
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institutional repository document
-
Anshelevich, M., & Mashburn, J.
(2021).
Fock Spaces with Nearest Neighbor Coupling
-
Anshelevich, M., & Wang, Z.
(2018).
Higher variations for free Lévy processes
-
Anshelevich, M., Gaikema, M., Hansalik, M., He, S., & Mehlhop, N.
(2017).
Expansion of permutations as products of transpositions
-
Anshelevich, M.
(2017).
Product formulas on posets, Wick products, and a correction for the $q$-Poisson process
-
Anshelevich, M., & Arizmendi, O.
(2016).
The exponential map in non-commutative probability
-
Anshelevich, M., & Williams, J. D.
(2014).
Operator-Valued Monotone Convolution Semigroups and an Extension of the Bercovici-Pata Bijection
-
Anshelevich, M., & Williams, J. D.
(2014).
Operator-valued Jacobi parameters and examples of operator-valued distributions
-
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., & Williams, J. D.
(2012).
Limit theorems for monotonic convolution and the Chernoff product formula
-
Anshelevich, M.
(2011).
A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind
-
Anshelevich, M., Belinschi, S. T., Fevrier, M., & Nica, A.
(2011).
Convolution powers in the operator-valued framework
-
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).
Linearization coefficients for orthogonal polynomials using stochastic processes
-
Anshelevich, M.
(2003).
q-Levy processes
-
Anshelevich, M.
(2001).
Free martingale polynomials
-
Anshelevich, M.
(2001).
Free stochastic measures via noncrossing partitions II
-
Anshelevich, M., & Mashburn, J.
(2021).
Fock Spaces with Nearest Neighbor Coupling
Research
principal investigator on
co-principal investigator on
Teaching
teaching activities
- MATH172 Calculus 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
- MATH409 Advanced Calculus I Instructor
- MATH409 Hnr-advanced Calculus I Instructor
- MATH485 Directed Studies Instructor
- MATH491 Hnr-research 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 (2018-05). Convergence of the Powers of Free Triangular Arrays to Higher Variations of Free L?vy 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
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