3 citations · 4 across the 10 of their papers we have counts for
5 papers · 2 filters
Parameter symmetry in perturbed GUE corners process and reflected drifted Brownian motions
Leonid Petrov, Mikhail Tikhonov
The perturbed GUE corners ensemble is the joint distribution of eigenvalues of all principal submatrices of a matrix , where is the random matrix f…
Parameter Permutation Symmetry in Particle Systems and Random Polymers
Leonid Petrov
Many integrable stochastic particle systems in one space dimension (such as TASEP - totally asymmetric simple exclusion process - and its various deformations, with a notable excep…
PushTASEP in inhomogeneous space
Leonid Petrov
We consider the PushTASEP (pushing totally asymmetric simple exclusion process, also sometimes called long-range TASEP) with the step initial configuration evolving in an inhomogen…
Mapping TASEP back in time
Leonid Petrov, Axel Saenz
We obtain a new relation between the distributions at different times of the continuous-time TASEP (Totally Asymmetric Simple Exclusion Process) started from the ste…
Yang-Baxter random fields and stochastic vertex models
Alexey Bufetov, Matteo Mucciconi, Leonid Petrov
Bijectivization refines the Yang-Baxter equation into a pair of local Markov moves which randomly update the configuration of the vertex model. Employing this approach, we introduc…