< Math Sci




Wlodzimierz Bryc

Department of Mathematical Sciences
University of Cincinnati
PO Box 210025
Cincinnati, OH 45221-0025
Tel: (513) 556 4098
Office: 4316 French Hall

Probability Seminar
Research Interests Probability Theory: Quadratic harnesses, Classical and non-commutative probability, random matrices, large deviations.
Recent publications, preprints, work in progress
  1. Dual representations of Laplace transforms of Brownian excursion and generalized meanders, with Yizao Wang. Statistics and Probability Letters 140 (2018) pp. 77-83. https://doi.org/10.1016/j.spl.2018.04.021
  2. Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries, with Yizao Wang Annales de l'Institut Henri Poincare, Vol. 55 (2019) pp. 2169-2194. https://doi.org/10.1214/18-AIHP945
  3. Cauchy-Stieltjes families with polynomial variance functions and generalized orthogonality, with Raouf Fakhfakh and Wojciech Mlotkowski Probability and Mathematical Statistics 39 (2019) pp. 237-258. PDF. doi:10.19195/0208-4147.39.2.1
  4. Fluctuations of random Motzkin paths, with Yizao Wang. Advances in Applied Mathematics 106 (2019) pp. 96-116, https://doi.org/10.1016/j.aam.2019.02.003
  5. On matrix product ansatz for Asymmetric Simple Exclusion Process with open boundary in the singular case, with Marcin Swieca. Journal of Statistical Physics, 177 (2019), pp. 252-284 https://doi.org/10.1007/s10955-019-02367-4
  6. Singular values of large non-central random matrices, with Jack Silverstein Random Matrices: Theory and Applications, Vol. 9, No. 4 (2020) 2050012 (32 pages) DOI: 10.1142/S2010326320500124.
  7. Flows in near algebras with applications to harnesses, with Jacek Wesolowski and Agnieszka Zieba. Colloquium Mathematicum 170 (2022), 211--238 DOI: 10.4064/cm8549-1-2022
  8. On the continuous dual Hahn process Stochastic Processes and their Applications Vol 143 (2022), Pages 185-206 https://doi.org/10.1016/j.spa.2021.10.009
  9. Markov limits of steady states of the KPZ equation on an interval, with Alexey Kuznetsov. ALEA, Lat. Am. J. Probab. Math. Stat. 19, 1329-1351 (2022) DOI: 10.30757/ALEA.v19-53
  10. Erratum: Asymptotic results for empirical measures of weighted sums of independent random variables with Bernard Bercu, Electronic Communications in Probability 2022, Vol. 27, paper no. 23, 1-1.
  11. Markov processes related to the stationary measure for the open KPZ equation, with Alexey Kuznetsov, Yizao Wang, and Jacek Wesolowski. Probability Theory Rel. Fields 185, pages 353-389 (2023).(online first) https://doi.org/10.1007/s00440-022-01110-7
  12. From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval, with Yizao Wang and Jacek Wesolowski [Feb 2022] Annales de l'Institut Henri Poincare 2023 vol. 59, pages 2257-2284.
  13. Limit theorems for random Motzkin paths near boundary, with Yizao Wang,Bernoulli, to appear. [Dec-2022-April 2023] happy
  14. Pitman's discrete $2M-X$ theorem for arbitrary initial laws and continuous time limits with Jacek Wesolowski [Feb-April 2023]
  15. Fluctuations of random Motzkin paths II, with Yizao Wang
  16.  catwalk

Teaching: Fall 2023

Calculus II + Canvas1062| Linear Algebra +Canvas2076 |Office Hours|