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This paper is devoted to the study of the additive functional t → t 0 f (W (s))ds, where f denotes a measurable function and W is a planar Brownian motion. Kasahara and Kotani [19] have obtained its second-order asymptotic behaviors, by using the skew-product representation of W and the ergodicity of the angular part. We prove that the vector (· 0 f j (W… (More)

- Antonia Földes
- Periodica Mathematica Hungarica
- 2005

We study the path behaviour of a simple random walk on the 2-dimensional comb lattice 2 that is obtained from 2 by removing all horizontal edges off the x-axis. In particular, we prove a strong approximation result for such a random walk which, in turn, enables us to establish strong limit theorems, like the joint Strassen type law of the iterated logarithm… (More)

- Antonia Földes
- Periodica Mathematica Hungarica
- 2000

We study the occupation measure of various sets for a symmetric transient random walk in Z d with finite variances. Let µ X n (A) denote the occupation time of the set A up to time n. It is shown that sup x∈Z d µ X n (x + A)/ log n tends to a finite limit as n → ∞. The limit is expressed in terms of the largest eigenvalue of a matrix involving the Green's… (More)

Strong theorems are given for the maximal local time on balls and subspaces for the d-dimensional simple symmetric random walk.

- Antonia Földes
- Periodica Mathematica Hungarica
- 2010

- Endre Csáki, Miklós Csörgo, Antonia Földes, Pál Révész
- Periodica Mathematica Hungarica
- 2013

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