This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …

Propagating fronts are seen in varieties of nonequilibrium pattern forming systems in
Physics, Chemistry and Biology. In the last two decades, many researchers have contributed …

The idea of writing up a book on the hydrodynamic behavior of interacting particle systems
was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the …

This book deals with one of the fundamental problems of nonequilibrium statistical
mechanics: the explanation of large-scale dynamics (evolution differential equations) from …

Interactive Particle Systems is a branch of Probability Theory with close connections to
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …

Nonequilibrium Phase Transitions in Lattice Models - NASA/ADS Now on home page ads icon
ads Enable full ADS view NASA/ADS Nonequilibrium Phase Transitions in Lattice Models …

We consider the effect of a small cutoff ɛ on the velocity of a traveling wave in one
dimension. Simulations done over more than ten orders of magnitude as well as a simple …

Entropy inequalities, correlation functions, couplings between stochastic processes are
powerful techniques which have been extensively used to give arigorous foundation to the …

Recently we considered a stochastic discrete model which describes fronts of cells invading
a wound [E. Khain, LM Sander, and CM Schneider-Mizell, J. Stat. Phys. 128, 209 (2007)]. In …

Cell invasion involves a population of cells which are motile and proliferative. Traditional
discrete models of proliferation involve agents depositing daughter agents on nearest …