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15 papers · 2 filters
Granular gases: dynamics and collective effects
Alain Barrat, Emmanuel Trizac, Matthieu H. Ernst
We present a biased review of some of the most "spectacular" effects appearing in the dynamics of granular gases where the dissipative nature of the collisions leads to a rich phen…
Persistence of Randomly Coupled Fluctuating Interfaces
Satya N. Majumdar, Dibyendu Das
We study the persistence properties in a simple model of two coupled interfaces characterized by heights h_1 and h_2 respectively, each growing over a d-dimensional substrate. The…
Understanding Search Trees via Statistical Physics
Satya N. Majumdar, David S. Dean, P. L. Krapivsky
We study the random m-ary search tree model (where m stands for the number of branches of a search tree), an important problem for data storage in computer science, using a variety…
Statistics of randomly branched polymers in a semi-space
M. V. Tamm, S. K. Nechaev, I. Ya. Erukhimovich
We investigate the statistical properties of a randomly branched 3--functional --link polymer chain without excluded volume, whose one point is fixed at the distance from th…
Equilibrium statistics of a slave estimator in Langevin processes
David S. Dean, Ian T. Drummond, Ron R. Horgan +1
We analyze the statistics of an estimator, denoted by xi_t and referred to as the slave, for the equilibrium susceptibility of a one dimensional Langevin process x_t in a potential…
Airy Distribution Function: From the Area Under a Brownian Excursion to the Maximal Height of Fluctuating Interfaces
Satya N. Majumdar, Alain Comtet
The Airy distribution function describes the probability distribution of the area under a Brownian excursion over a unit interval. Surprisingly, this function has appeared in a num…