122 citations · 452 across the 56 of their papers we have counts for
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Population dynamics with moderate tails of the underlying random walk
S. Molchanov, B. Vainberg
Symmetric random walks in and are considered. It is assumed that the jump distribution density has moderate tails, i.e., several density moments are finite, including t…
Intermittency for branching walks with heavy tails
A. Getan, S. Molchanov, B. Vainberg
Branching random walks on multidimensional lattice with heavy tails and a constant branching rate are considered. It is shown that under these conditions (heavy tails and constant…
Global limit theorems on the convergence of multidimensional random walks to stable processes
A. Agbor, S. Molchanov, B. Vainberg
Symmetric heavily tailed random walks on are considered. Under appropriate regularity conditions on the tails of the jump distributions, global (i.e., uniform in $x…
A Solvable Model for Homopolymers and the Critical Phenomena
M. Cranston, L. Koralov, S. Molchanov +1
We consider a model for the distribution of a long homopolymer with a zero-range potential at the origin in . The distribution can be obtained as a limit of Gibbs dis…
Continuous Model for Homopolymers
M. Cranston, L. Koralov, S. Molchanov +1
We consider the model for the distribution of a long homopolymer in a potential field. The typical shape of the polymer depends on the temperature parameter. We show that at a crit…