Limit theorems for the Green function of the lattice Laplacian under large deviations of the random walk

DOI10.1070/IM2012V076N06ABEH002621zbMath1274.60082MaRDI QIDQ4904384

E. B. Yarovaya, Stanislav Alekseevich Molchanov

Publication date: 29 January 2013

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

large deviationslimit theoremsbranching random walkdifference Laplacianspatio-temporal scaleasymptotics of the Green function

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fundamental solutions to PDEs (35A08) Large deviations (60F10) Initial value problems for second-order parabolic equations (35K15) Transition functions, generators and resolvents (60J35)

Related Items (4)

Structure of the population of particles for a branching random walk in a homogeneous environment ⋮ A weakly supercritical mode in a branching random walk ⋮ Large deviations for a symmetric branching random walk on a multidimensional lattice ⋮ Stability and instability of steady states for a branching random walk

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