53 citations · 285 across the 28 of their papers we have counts for
27 papers
Exact loop densities in dense loop model on the cylinder of odd circumference and clusters in half-turn self-dual critical percolation
A. M. Povolotsky, A. A. Trofimova
We consider dense loop model in a square lattice wrapped on a cylinder of odd circumference and calculate the exact densities of loops. These densities of loops are equa…
Phase diagram of generalized TASEP on an open chain: Liggett-like boundary conditions
Nadezhda Zh Bunzarova, Nina C Pesheva, Alexander M Povolotsky
The totally asymmetric simple exclusion process with generalized update is a version of the discrete time totally asymmetric exclusion process with an additional inter-particle int…
Representations of Hecke algebras and Markov dualities for interacting particle systems
Alexander Povolotsky, Pavel Pyatov, Roger Tribe +2
Many continuous reaction-diffusion models on (annihilating or coalescing random walks, exclusion processes, voter models) admit a rich set of Markov duality functions…
Generalized TASEP on open chains with a modified injection condition
A. M. Povolotsky, N. C. Pesheva, N. Zh. Bunzarova
We report here our preliminary results in the study of a new version of the generalized Totally Asymmetric Simple Exclusion process (gTASEP) on open tracks. In the gTASEP an additi…
Watermelons on the half-plane
Khaydar Nurligareev, Alexander Povolotsky
We study the watermelon probabilities in the uniform spanning forests on the two-dimensional semi-infinite square lattice near either open or closed boundary to which the forests c…
Exact densities of loops in O(1) dense loop model and of clusters in critical percolation on a cylinder II: rotated lattice
A. M. Povolotsky
This work continues the study started in \cite{Povolotsky2021}, where the exact densities of loops in the O(1) dense loop model on an infinite strip of the square lattice with peri…