[ספר][B] Measure-valued Markov processes

DA Dawson, B Maisonneuve, J Spencer, D Dawson - 1993‏ - Springer
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Front propagation in heterogeneous media

J **n - SIAM review, 2000‏ - SIAM
A review is presented of recent results on front propagation in reaction-diffusion-advection
equations in homogeneous and heterogeneous media. Formal asymptotic expansions and …

[ספר][B] Spatial branching processes, random snakes and partial differential equations

JF Le Gall - 1999‏ - books.google.com
In these lectures, we give an account of certain recent developments of the theory of spatial
branching processes. These developments lead to several fas cinating probabilistic objects …

[ספר][B] Measure-Valued Branching Processes

Z Li, Z Li - 2011‏ - Springer
A measure-valued process describes the evolution of a population that evolves according to
the law of chance. In this chapter we provide some basic characterizations and constructions …

Travelling waves in monostable and bistable stochastic partial differential equations

C Kuehn - Jahresbericht der Deutschen Mathematiker …, 2020‏ - Springer
In this review, we provide a concise summary of several important mathematical results for
stochastic travelling waves generated by monostable and bistable reaction-diffusion …

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 …

[ספר][B] Stochastic ordinary and stochastic partial differential equations

P Kotelenez - 2008‏ - Springer
The present volume analyzes mathematical models of time-dependent physical phenomena
on three levels: microscopic, mesoscopic, and macroscopic. We provide a rigorous …

Random travelling waves for the KPP equation with noise

C Mueller, RB Sowers - Journal of Functional Analysis, 1995‏ - Elsevier
Consider the stochastic partial differential equation [formula] where Ẇ= Ẇ (t, x) is two-
parameter while noise. Assume that u0 is a continuous function taking values in [0, 1] such …

Stochastic partial differential equation driven by stable noise

L Mytnik - Probability Theory and Related Fields, 2002‏ - Springer
We construct a weak solution to the stochastic partial differential equation driven by a one
sided, α-stable noise without negative jumps. We prove the weak existence of the solution …

Nonuniqueness for a parabolic SPDE with -Hölder diffusion coefficients

C Mueller, L Mytnik, E Perkins - 2014‏ - projecteuclid.org
Motivated by Girsanov's nonuniqueness examples for SDEs, we prove nonuniqueness for
the parabolic stochastic partial differential equation (SPDE) ∂u∂t=Δ2u(t,x)+\bigl|u(t,x)\bigr …