Anshelevich, Michael
individual record
Professor
Positions:
- Professor, Mathematics, College of Science
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.
Repository Documents / Preprints32
- Anshelevich, M. (2017). Product formulas on posets, Wick products, and a correction for the $q$-Poisson process.
- Anshelevich, M., Gaikema, M., Hansalik, M., He, S., & Mehlhop, N. (2017). Expansion of permutations as products of transpositions.
researcher on
Principal Investigator1
- NSF-Free Probability, Polynomial Families, and Applications awarded by National Science Foundation 2012 - 2016
Co-Principal Investigator1
recent teaching activities
- MATH172 Calculus Instructor
- MATH172 Hnr-calculus Instructor
- MATH220 Foundations Of Math Instructor
- MATH220 Hnr-foundations Of Math Instructor
- MATH300 Foundations Of Math Instructor
chaired theses and dissertations
- Wang, Zhichao (2018-05). Convergence of the Powers of Free Triangular Arrays to Higher Variations of Free L?vy Processes. (Master's Thesis)
Email
manshel@tamu.edu
First Name
Michael
Last Name
Anshelevich
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368
USA