41 citations · 139 across the 5 of their papers we have counts for
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Boundary monomers in the dimer model
Vyatcheslav B. Priezzhev, Philippe Ruelle
The correlation functions of an arbitrary number of boundary monomers in the system of close-packed dimers on the square lattice are computed exactly in the scaling limit. The equi…
Determinant solution for the Totally Asymmetric Exclusion Process with parallel update II. Ring geometry
A. M. Povolotsky, V. B. Priezzhev
Using the Bethe ansatz we obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update on a ri…
Non-Local Finite-Size Effects in the Dimer Model
Nickolay Sh. Izmailian, Vyatcheslav B. Priezzhev, Philippe Ruelle
We study the finite-size corrections of the dimer model on square lattice with two different boundary conditions: free and periodic. We find that the finite-size…
The Asymmetric Avalanche Process
A. M. Povolotsky, V. B. Priezzhev, Chin-Kun Hu
An asymmetric stochastic process describing the avalanche dynamics on a ring is proposed. A general kinetic equation which incorporates the exclusion and avalanche processes is con…
Exact velocity of dispersive flow in the asymmetric avalanche process
E. V. Ivashkevich, A. M. Povolotsky, V. B. Priezzhev
Using the Bethe ansatz we obtain the exact solution for the one-dimensional asymmetric avalanche process. We evaluate the velocity of dispersive flow as a function of driving force…
Distribution of consecutive waves in the sandpile model on the Sierpinski gasket
F. Daerden, V. B. Priezzhev, C. Vanderzande
The scaling properties of waves of topplings in the sandpile model on the Sierpinski gasket are investigated. The exponent describing the asymptotics of the distribution of last wa…