Scholars

Anshelevich, Michael

Professor

Positions:

Professor, Mathematics, College of Science

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manshel@tamu.edu

1 979 845 6679

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overview

My research interests include functional analysis, operator algebras, free probability theory, Probability theory, stochastic processes, combinatorics, orthogonal polynomials, and umbral calculus.

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

selected publications

Academic Articles31

Anshelevich, M., & Wang, Z. (2020). Higher variations for free Lvy processes. Studia Mathematica. (1), 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 Mathmatiques. 145, 1-37.
Anshelevich, M., & Arizmendi, O. (2016). The Exponential Map in Non-commutative Probability. International Mathematics Research Notices. 2017(17), rnw164-rnw164.
Anshelevich, M. (2016). A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind. Integral Transforms and Special Functions. 27(4), 307-317.

Conference Papers1

Anshelevich, M. (2010). Product-type non-commutative polynomial states. Noncommutative Harmonic Analysis with Applications to Probability II, Noncommutative Harmonic Analysis with Applications to Probability II. 45-59.