Michael Anshelevich

Office: 326 Milner

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

Linear Algebra II: Math 423

Orthogonal Polynomials in Probability Theory

Free probability seminar

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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. Semigroups of distributions with linear Jacobi parameters (with Wojciech Młotkowski), arXiv:1001.1540 [math.CO].
  2. Bochner-Pearson-type characterization of the free Meixner class, arXiv:0909.1097 [math.CO]. Accepted for publication by the Advances in Applied Mathematics (the Dennis Stanton issue).
  3. Product-type non-commutative polynomial states, arXiv:0811.0058 [math.OA]. To be published in Noncommutative harmonic analysis with applications to probability, Banach Center Publ., vol. 89, Polish Acad. Sci. Inst. Math., Warsaw.
  4. Free evolution on algebras with two states, J. Reine Angew. Math. 638 (2010), 75-101.
  5. Appell polynomials and their relatives III. Conditionally free theory, Illinois J. Math. 53 (2009), 39-66.
  6. Appell polynomials and their relatives II. Boolean theory, Indiana Univ. Math. J. 58 (2009), 929-968.
  7. Orthogonal polynomials with a resolvent-type generating function, Trans. Amer. Math. Soc. 360 (2008), 4125-4143.
  8. Monic non-commutative orthogonal polynomials, Proc. Amer. Math. Soc. 136 (2008), 2395-2405.
  9. Free Meixner states, Commun. Math. Phys. 276 (2007), 863-899.
  10. Zimmermann type cancellation in the free Faà di Bruno algebra (with Edward G. Effros and Mihai Popa), J. Funct. Anal. 237 (2006), 76-104.
  11. Linearization coefficients for orthogonal polynomials using stochastic processes, Ann. Probab. 33 (2005), 114-136.
  12. q-Lévy processes, J. Reine Angew. Math. 576 (2004), 181-207.
  13. 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.
  14. Free martingale polynomials, J. Funct. Anal. 201 (2003), 228-261.
  15. Itô formula for free stochastic integrals, J. Funct. Anal. 188 (2002), 292-315.
  16. Free stochastic measures via noncrossing partitions II, Pacific J. Math. 207 (2002), 13-30.
  17. Partition-dependent stochastic measures and q-deformed cumulants, Doc. Math. 6 (2001), 343-384.
  18. Free stochastic measures via noncrossing partitions, Adv. Math. 155 (2000), 154-179.
  19. The linearization of the central limit operator in free probability theory, Probab. Theory Related Fields 115 (1999), 401-416.

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