139 citations · 575 across the 36 of their papers we have counts for
24 papers · 1 filter
Markov limits of steady states of the KPZ equation on an interval
Wlodek Bryc, Alexey Kuznetsov
This paper builds upon the research of Corwin and Knizel who proved the existence of stationary measures for the KPZ equation on an interval and characterized them through a Laplac…
Markov processes related to the stationary measure for the open KPZ equation
Wlodek Bryc, Alexey Kuznetsov, Yizao Wang +1
We provide a probabilistic description of the stationary measures for the open KPZ on the spatial interval in terms of a Markov process , which is a Doob's transform…
On free regular and Bondesson convolution semigroups
Alexey Kuznetsov
Free regular convolution semigroups describe the distribution of free subortinators, while Bondesson class convolution semigroups correspond to classical subordinators with complet…
Spectral analysis of stable processes on the positive half-line
Alexey Kuznetsov, Mateusz Kwasnicki
We study the spectral expansion of the semigroup of a general stable process killed on the first exit from the positive half-line. Starting with the Wiener-Hopf factorization we ob…
Strongly reinforced Pólya urns with graph-based competition
Remco van der Hofstad, Mark Holmes, Alexey Kuznetsov +1
We introduce a class of reinforcement models where, at each time step , one first chooses a random subset of colours (independent of the past) from colours of balls, a…
On free stable distributions
Takahiro Hasebe, Alexey Kuznetsov
We investigate analytical properties of free stable distributions and discover many connections with their classical counterparts. Our main result is an explicit formula for the Me…