Displaying similar documents to “Asymptotics for the survival probability in a killed branching random walk”

Averaged large deviations for random walk in a random environment

Atilla Yilmaz (2010)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

In his 2003 paper, Varadhan proves the averaged large deviation principle for the mean velocity of a particle taking a nearest-neighbor random walk in a uniformly elliptic i.i.d. environment on ℤ with ≥1, and gives a variational formula for the corresponding rate function . Under Sznitman’s transience condition (), we show that is strictly convex and analytic on a non-empty open set , and that the true velocity of the particle is an element (resp. in...

Transience/recurrence and the speed of a one-dimensional random walk in a “have your cookie and eat it” environment

Ross G. Pinsky (2010)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

Consider a variant of the simple random walk on the integers, with the following transition mechanism. At each site , the probability of jumping to the right is ()∈[½, 1), until the first time the process jumps to the left from site , from which time onward the probability of jumping to the right is ½. We investigate the transience/recurrence properties of this process in both deterministic and stationary, ergodic environments {()}∈. In deterministic environments, we also study the speed...

Almost sure functional central limit theorem for ballistic random walk in random environment

Firas Rassoul-Agha, Timo Seppäläinen (2009)

Annales de l'I.H.P. Probabilités et statistiques

Similarity:

We consider a multidimensional random walk in a product random environment with bounded steps, transience in some spatial direction, and high enough moments on the regeneration time. We prove an invariance principle, or functional central limit theorem, under almost every environment for the diffusively scaled centered walk. The main point behind the invariance principle is that the quenched mean of the walk behaves subdiffusively.