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• Anisotropic branching random walks on homogeneous trees AI翻译
  作者：Hueter, I; Lalley, SP
  作者单位：State University System of Florida; University of Florida; University of Chicago
  摘要：Symmetric branching random walk on a homogeneous tree exhibits a weak survival phase: For parameter values in a certain interval, the population survives forever with positive probability, but, with probability one, eventually vacates every finite subset of the tree. In this phase, particle trails must converge to the geometric boundary Omega of the tree. The random subset Lambda of the boundary consisting of all ends of the tree in which the population survives, called the limit set of the pr...
• Quenched, annealed and functional large deviations for one-dimensional random walk in random environment AI翻译
  作者：Comets, F; Gantert, N; Zeitouni, O
  作者单位：Universite Paris Cite; Technical University of Berlin; Technion Israel Institute of Technology
  摘要：Suppose that the integers are assigned random variables {omega(i)} (taking values in the unit interval), which serve as an environment. This environment defines a random walk {X-n} (called a RWRE) which, when at i, moves one step to the right with probability omega(i), and one step to the left with probability 1 - omega(i). When the {omega(i)} sequence is i.i.d., Greven and den Hollander (1994) proved a large deviation principle for X-n/n, conditional upon the environment, with deterministic r...