[图书][B] Stochastic interacting systems: contact, voter and exclusion processes
TM Liggett - 2013 - books.google.com
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 …
Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T …
[图书][B] Mathematical methods for hydrodynamic limits
A DeMasi, E Presutti - 2006 - books.google.com
Entropy inequalities, correlation functions, couplings between stochastic processes are
powerful techniques which have been extensively used to give arigorous foundation to the …
powerful techniques which have been extensively used to give arigorous foundation to the …
Effect of noise on front propagation in reaction-diffusion equations of KPP type
C Mueller, L Mytnik, J Quastel - Inventiones mathematicae, 2011 - Springer
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 …
a Fisher-Wright white noise, under the assumption of uniqueness in distribution. Examples …
[PDF][PDF] The contact process, 1974–1989
R Durrett - Mathematics of random media (Blacksburg, VA, 1989), 1991 - lib.ysu.am
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 …
The Contact Process, 1974–1989 | RICK DURRETT Abstract. We describe the current state of …
Hydrodynamic equations for attractive particle systems on ℤ
ED Andjel, ME Vares - Journal of statistical physics, 1987 - Springer
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 …
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
T Kuczek - The Annals of Probability, 1989 - JSTOR
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 …
Annals of Probability 1989, Vol. 17, No. 4, 1322-1332 THE CENTRAL LIMIT THEOREM FOR …
The contact process on a finite set. III: the critical case
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 …
for λ= λc, the critical value for the contact process on Z, σN/N→∞ and σN/N4→ 0 in …
Random walks generated by equilibrium contact processes
T Mountford, ME Vares - 2015 - projecteuclid.org
We consider dynamic random walks where the nearest neighbour jump rates are
determined by an underlying supercritical contact process in equilibrium. This has …
determined by an underlying supercritical contact process in equilibrium. This has …
Asymptotic behavior of the Brownian frog model
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 …
spread of active particles. Fix r>0 and place a particle at each point x of a unit intensity …
Stochastic sequences with a regenerative structure that may depend both on the future and on the past
S Foss, S Zachary - Advances in Applied Probability, 2013 - cambridge.org
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 …
stopping times, but which are determined by the future as well as the past behaviour of the …