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math-ph2024
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…
math-ph2021
Crossover scaling functions in the asymmetric avalanche process
Anastasiia A. Trofimova, Alexander M. Povolotsky
We consider the particle current in the asymmetric avalanche process on a ring. It is known to exhibit a transition from the intermittent to continuous flow at the critical density…
math-ph2020★ 4 cited
Current statistics in the q-boson zero range process
A. A. Trofimova, A. M. Povolotsky
We obtain exact formulas of the first two cumulants of particle current in the q-boson zero range process via exact perturbative solution of the TQ-relation. The result is represen…