39 citations · 616 across the 35 of their papers we have counts for
4 papers · 1 filter
The Airy distribution: experiment, large deviations and additional statistics
Tal Agranov, Pini Zilber, Naftali R. Smith +3
The Airy distribution (AD) describes the probability distribution of the area under a Brownian excursion. The AD is prominent in several areas of physics, mathematics and computer…
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…
A giant disparity and a dynamical phase transition in large deviations of the time-averaged size of stochastic populations
Pini Zilber, Naftali R. Smith, Baruch Meerson
We study large deviations of the time-averaged size of stochastic populations described by a continuous-time Markov jump process. When the expected population size in the stead…
Geometrical optics of constrained Brownian motion: three short stories
Baruch Meerson, Naftali R. Smith
The optimal fluctuation method -- essentially geometrical optics -- gives a deep insight into large deviations of Brownian motion. Here we illustrate this point by telling three sh…