85 citations · 616 across the 42 of their papers we have counts for
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math-ph2018★ 1 cited
Large deviations of avalanches in the raise and peel model
Alexander M. Povolotsky, Pavel Pyatov, Vladimir Rittenberg
We study the large deviation functions for two quantities characterizing the avalanche dynamics in the Raise and Peel model: the number of tiles removed by avalanches and the numbe…
math-ph2007★ 13 cited
Factorised solutions of Temperley-Lieb KZ equations on a segment
Jan de Gier, Pavel Pyatov
We study the q-deformed Knizhnik-Zamolodchikov equation in path representations of the Temperley-Lieb algebras. We consider two types of open boundary conditions, and in both cases…
math-ph2004★ 25 cited
Raise and Peel Models of fluctuating interfaces and combinatorics of Pascal's hexagon
Pavel Pyatov
The raise and peel model of a one-dimensional fluctuating interface (model A) is extended by considering one source (model B) or two sources (model C) at the boundaries. The Hamilt…