87 citations · 284 across the 17 of their papers we have counts for
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Large deviations of the interface height in the Golubović-Bruinsma model of stochastic growth
Baruch Meerson, Arkady Vilenkin
We study large deviations of the one-point height distribution, , of a stochastic interface, governed by the Golubović-Bruinsma equation $$ \partial_{t}h=-ν\parti…
Probabilities of moderately atypical fluctuations of the size of a swarm of Brownian Bees
Pavel Sasorov, Arkady Vilenkin, Naftali R. Smith
The ``Brownian bees'' model describes an ensemble of ~const independent branching Brownian particles. The conservation of is provided by a modified branching process. When…
Time-averaged height distribution of the Kardar-Parisi-Zhang interface
Naftali R. Smith, Baruch Meerson, Arkady Vilenkin
We study the complete probability distribution of the time-averaged height at point of an evolving…
Large fluctuations of a Kardar-Parisi-Zhang interface on a half-line
Baruch Meerson, Arkady Vilenkin
Consider a stochastic interface , described by the Kardar-Parisi-Zhang (KPZ) equation on the half-line . The interface is initially flat, , and d…
Nonequilibrium Steady State of a Weakly-Driven Kardar-Parisi-Zhang Equation
Baruch Meerson, Pavel V. Sasorov, Arkady Vilenkin
We consider an infinite interface in dimensions, governed by the Kardar-Parisi-Zhang (KPZ) equation with a weak Gaussian noise which is delta-correlated in time and has short…
Large Deviations of Surface Height in the Kardar-Parisi-Zhang Equation
Baruch Meerson, Eytan Katzav, Arkady Vilenkin
Using the weak-noise theory, we evaluate the probability distribution of large deviations of height of the evolving surface height in the Kardar-Par…