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Random walk in random scenery


Random walks in random sceneries and related models

are assumed to be independent and identically distributed. Independence assumption. The random walk S = (Sn)n and the random scenery ζ = (ζ`)`∈Zd are ...

Random walk in random scenery: A survey of some recent results

The walk and the scenery are assumed to be independent. RWRS is the random process where time is indexed by \mathbb {Z}, and at each unit of ...

RANDOM WALK IN RANDOM SCENERY - mathtube.org

What do you see when you randomly move through a random landscape? In this talk we consider a random walk on a randomly col- ored lattice and ask what are the ...

A note on random walk in random scenery - ScienceDirect.com

Abstract. We consider a random walk in random scenery { X n = η ( S 0 ) + ⋯ + η ( S n ) , n ∈ N } , where a centered walk { S n , n ∈ N } is independent of ...

A functional approach for random walks in random sceneries

Under fairly general assumptions on the random walk and on the random scenery, func- tional limit theorems are proved. The method allows to study separately the ...

Random walk in random scenery: A survey of some recent results

Keywords and phrases: random walk in random scenery, K-automorphism, Bernoulli, weak. Bernoulli, finitary coding, conditional probability distribution, bad ...

A local limit theorem for random walks in random scenery and ... - HAL

Random walks in random scenery are processes defined by $Z_n:=\sum_{k=1}^n\xi_{X_1+...+X_k}$, where $(X_k,k\ge 1)$ and $(\xi_y,y\in\mathbb Z)$ are two ...

A note on random walk in random scenery - Numdam

[1] A. Asselah, F. Castell, Quenched large deviations for diffusions in a random Gaussian shear flow drift, Stochastic Process. Appl. 103 (1) (2003) 1-29.

Scenery reconstruction for random walk on random scenery systems

Abstract. Consider a simple random walk on ℤ with a random coloring of ℤ. Look at the sequence of the first N steps taken in the random walk, ...

A local limit theorem for random walks in random scenery and on ...

Abstract. Random walks in random scenery are processes defined by Zn := ∑k=1n ξX1+⋯+Xk, where (Xk, k ≥ 1) and (ξy, y ∈ ℤ) are two independent sequences of ...

An embedding for the Kesten–Spitzer random walk in random scenery

Let S={S k } k∈ N 0 be a simple symmetric random walk on Z starting at S0=0, independent of σ. The process K={K(n)} n∈ N 0 , defined by(1.2) K(n)= ∑ k=0 n σ( ...

A functional approach for random walks in random sceneries - HAL

... random variables called the random scenery. The random walk in random scenery (RWRS) is the cumulative process. Zn = n. X k=0. ξSk . Motivated ...

A note on random walk in random scenery - EuDML

References · [1] A. Asselah, F. · [2] A. Asselah, F. · [3] E. Bolthausen, A central limit theorem for two-dimensional random walk in random sceneries, Ann. · [4] ...

Random walk in a switching scenery - pr.probability - MathOverflow

Random walk in a switching scenery ... at the arrival times of a Poisson process Nt(0) with rate λ>0, η(0) switches state, ie ηt(0)=(−1)Nt(0)η0(0) ...

Random walk in random scenery: A survey of some recent results

for random walk in random scenery (RWRS). On $\mathbb {Z}^d$, $d\geq 1$, we are given a random walk with i.i.d. increments and a random scenery with i.i.d. ...

Random walk in random scenery and self-intersection local times in ...

Random walk in random scenery and self-intersection local times in dimensions d ≥ 5. Published: 15 August 2006. Volume 138, pages 1–32, (2007) ...

Moderate deviations for random walk in random scenery - NASA/ADS

We investigate random walks in independent, identically distributed random sceneries under the assumption that the scenery variables satisfy Cramer's ...

Annealed deviations of random walk in random scenery - EuDML

Annealed deviations of random walk in random scenery · Volume: 43, Issue: 1, page 47-76 · ISSN: 0246-0203 ...

Moderate Deviations for Stable Random Walks in Random Scenery

In this paper, a moderate deviation theorem for one-dimensional stable random walks in random scenery is proved. The proof relies on the analysis of maximum ...

[PDF] On random walks in random scenery - Semantic Scholar

This paper considers 1-dimensional generalized random walks in random scenery. That is, the steps of the walk are generated by an arbitrary ...