Sandpile model, rotor-router model, spanning trees
UDC:
533.539, 539.120.1
Subject:
non-equilibrium statistical mechanics, self-organized criticality, exactly solvable lattice models,
probability theory, stochastic processes, random walks,
cellular automata, discrete mathematics, combinatorics, graph theory
Main publications:
J.G. Brankov, Vl.V. Papoyan, V.S. Poghosyan and V.B. Priezzhev, “The totally asymmetric exclusion process on a ring: Exact relaxation dynamics and associated model of clustering transition”, Physica A, 368 (2006), 471–480
V.S. Poghosyan, V.B. Priezzhev and P. Ruelle, “Jamming probabilities for a vacancy in the dimer model”, Phys. Rev. E, 77 (2008), 041130
V.S. Poghosyan, S.Y. Grigorev, V.B. Priezzhev and P. Ruelle, “Logarithmic two-point correlators in the Abelian sandpile model”, J. Stat. Mech., 2010, P07025
Su.S. Poghosyan, V.S. Poghosyan, V.B. Priezzhev and P. Ruelle, “Numerical Study of the Correspondence Between the Dissipative and Fixed Energy Abelian Sandpile Models”, Phys. Rev. E, 84 (2011), 066119
V.S. Poghosyan, V.B. Priezzhev and P. Ruelle, “Return probability for the loop-erased random walk and mean height in the Abelian sandpile model: a proof”, J. Stat. Mech., 2011, P10004
V. S. Pogosyan, V. B. Priezzhev, “Fundamental constants in the theory of two-dimensional uniform spanning trees”, TMF, 187:3 (2016), 580–594; Theoret. and Math. Phys., 187:3 (2016), 952–963
1996
2.
N. Z. Akopov, V. S. Pogosyan, “Fast algorithm for pseudo-random numbers”, Matem. Mod., 8:5 (1996), 117–122
1975
3.
A. Ts. Amatuni, V. S. Pogosyan, È. V. Sekhposyan, “Application of the Newton–Kantorovich method in elementary particles physics”, Trudy Mat. Inst. Steklov., 136 (1975), 5–14
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