Michael Anshelevich

Office: 326 Milner

Email address: manshel math.tamu.edu 		Department of Mathematics
Texas A&M University
College Station TX 77843-3368

Differential Equations: Math 308

Topics in Applied Mathematics (Special functions): Math 311

Free probability seminar

Professional links

Some useful information (all is subjective, of course)

PUBLICATIONS:

With one (free electronic) exception, older versions of these papers are available at the Mathematics arXiv.
  1. Bochner-Pearson-type characterization of the free Meixner class, arXiv:0909.1097 [math.CO].
  2. Appell polynomials and their relatives III. Conditionally free theory, arXiv:0803.4279 [math.OA]. Accepted for publication by the Illinois Journal of Mathematics.
  3. Product-type non-commutative polynomial states, arXiv:0811.0058 [math.OA]. Accepted for publication in the Proceedings of the 11th Workshop on Noncommutative Harmonic Analysis and Applications in Probability (Będlewo, Poland, 2008).
  4. Free evolution on algebras with two states, arXiv:0803.4280 [math.OA]. To be published by the Journal für die reine und angewandte Mathematik.
  5. Appell polynomials and their relatives II. Boolean theory, Indiana Univ. Math. J. 58 (2009), 929-968.
  6. Orthogonal polynomials with a resolvent-type generating function, Trans. Amer. Math. Soc. 360 (2008), 4125-4143.
  7. Monic non-commutative orthogonal polynomials, Proc. Amer. Math. Soc. 136 (2008), 2395-2405.
  8. Free Meixner states, Commun. Math. Phys. 276 (2007), 863-899.
  9. Zimmermann type cancellation in the free Faà di Bruno algebra (with Edward G. Effros and Mihai Popa), J. Funct. Anal. 237 (2006), 76-104.
  10. Linearization coefficients for orthogonal polynomials using stochastic processes, Ann. Probab. 33 (2005), 114-136.
  11. q-Lévy processes, J. Reine Angew. Math. 576 (2004), 181-207.
  12. Appell polynomials and their relatives, Int. Math. Res. Not. 2004 n. 65, 3469-3531. Maple worksheet used in the Appendix. A more complete version of the paper is at math.CO/0311043.
  13. Free martingale polynomials, J. Funct. Anal. 201 (2003), 228-261.
  14. Itô formula for free stochastic integrals, J. Funct. Anal. 188 (2002), 292-315.
  15. Free stochastic measures via noncrossing partitions II, Pacific J. Math. 207 (2002), 13-30.
  16. Partition-dependent stochastic measures and q-deformed cumulants, Doc. Math. 6 (2001), 343-384.
  17. Free stochastic measures via noncrossing partitions, Adv. Math. 155 (2000), 154-179.
  18. The linearization of the central limit operator in free probability theory, Probab. Theory Related Fields 115 (1999), 401-416.

CONFERENCES:

East Coast Operator Algebras Symposium, fall 2009
Educational Concentration Week on Free Probability Theory, summer 2007