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 …

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

We consider reaction-diffusion equations of KPP type in one spatial dimension, perturbed by
a Fisher-Wright white noise, under the assumption of uniqueness in distribution. Examples …

The contact process, 1974–1989 Page 8 Lectures in Applied Mathematics Volume 27 (1991)
The Contact Process, 1974–1989 | RICK DURRETT Abstract. We describe the current state of …

Hydrodynamic properties for a class of nondiffusive particle systems are investigated. The
method allows one to study local equilibria for a class of asymmetric zero-range processes …

The Central Limit Theorem for the Right Edge of Supercritical Oriented Percolation Page 1 The
Annals of Probability 1989, Vol. 17, No. 4, 1322-1332 THE CENTRAL LIMIT THEOREM FOR …

We show that if σN is the time that the contact process on {1,... N} first hits the empty set then
for λ= λc, the critical value for the contact process on Z, σN/N→∞ and σN/N4→ 0 in …

We consider dynamic random walks where the nearest neighbour jump rates are
determined by an underlying supercritical contact process in equilibrium. This has …

We introduce an extension of the frog model to Euclidean space and prove properties for the
spread of active particles. Fix r>0 and place a particle at each point x of a unit intensity …

Many regenerative arguments in stochastic processes use random times which are akin to
stopping times, but which are determined by the future as well as the past behaviour of the …