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

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. 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).
  2. Appell polynomials and their relatives III. Conditionally free theory, arXiv:0803.4279 [math.OA].
  3. Free evolution on algebras with two states, arXiv:0803.4280 [math.OA]. Accepted for publication by the Journal für die reine und angewandte Mathematik.
  4. Appell polynomials and their relatives II. Boolean theory, Indiana Univ. Math. J. 58 (2009), 929-968.
  5. Orthogonal polynomials with a resolvent-type generating function, Trans. Amer. Math. Soc. 360 (2008), 4125-4143.
  6. Monic non-commutative orthogonal polynomials, Proc. Amer. Math. Soc. 136 (2008), 2395-2405.
  7. Free Meixner states, Commun. Math. Phys. 276 (2007), 863-899.
  8. Zimmermann type cancellation in the free Faà di Bruno algebra (with Edward G. Effros and Mihai Popa), J. Funct. Anal. 237 (2006), 76-104.
  9. Linearization coefficients for orthogonal polynomials using stochastic processes, Ann. Probab. 33 (2005), 114-136.
  10. q-Lévy processes, J. Reine Angew. Math. 576 (2004), 181-207.
  11. Appell polynomials and their relatives, Int. Math. Res. Not. 2004 n. 65, 3469-3531. Maple worksheet used in the Appendix.
  12. Free martingale polynomials, J. Funct. Anal. 201 (2003), 228-261.
  13. Itô formula for free stochastic integrals, J. Funct. Anal. 188 (2002), 292-315.
  14. Free stochastic measures via noncrossing partitions II, Pacific J. Math. 207 (2002), 13-30.
  15. Partition-dependent stochastic measures and q-deformed cumulants, Doc. Math. 6 (2001), 343-384.
  16. Free stochastic measures via noncrossing partitions, Adv. Math. 155 (2000), 154-179.
  17. The linearization of the central limit operator in free probability theory, Probab. Theory Related Fields 115 (1999), 401-416.
East Coast Operator Algebras Symposium, fall 2009
Educational Concentration Week on Free Probability Theory, summer 2007