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math-ph2018
Finite-size scaling of free energy in the dimer model on a hexagonal domain
Anton Nazarov, Sergey Paston
We consider dimer model on a hexagonal lattice. This model can be seen as a "pile of cubes in the box". The energy of configuration is given by the volume of the pile and the parti…
math.RT2018
Limit shape of probability measure on tensor product of algebra modules
Anton Nazarov, Olga Postnova
We study a probability measure on integral dominant weights in the decomposition of -th tensor power of spinor representation of the Lie algebra . The probability of t…
cond-mat.stat-mech2018
Finite size scaling in the dimer and six-vertex model
Pavel Belov, Aleksandr Enin, Anton Nazarov
We present results of the Monte-Carlo simulations for scaling of the free energy in dimers on the hexagonal lattice. The traditional Markov-chain Metropolis algorithm and more nove…