Wlodzimierz Bryc

Prob Seminar

Recent publications, preprints, work in progress

1. Asymmetric Simple Exclusion Process with open boundaries and Quadratic Harnesses, with Jacek Wesolowski. Journal of Statistical Physics 167 (2017), 383-415. DOI: 10.1007/s10955-017-1747-5
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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.
8. Flows in near algebras with applications to harnesses, with Jacek Wesolowski and Agnieszka Zieba. Colloquium Mathematicum (2022) ( . online first) DOI: 10.4064/cm8549-1-2022
9. Markov processes related to the stationary measure for the open KPZ equation, with Alexey Kuznetsov, Yizao Wang, and Jacek Wesolowski [Jan-May 2021] Probability Theory Rel. Fields (online first). https://doi.org/10.1007/s00440-022-01110-7
10. 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
11. Markov limits of steady states of the KPZ equation on an interval, with Alexey Kuznetsov [Sept 2021]
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]
13. 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.
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Teaching: Fall 2022