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Subjects
82-XX Statistical mechanics, structure of matter
82Cxx Time-dependent statistical mechanics (dynamic and nonequilibrium)
82C41 Dynamics of random walks, random surfaces, lattice animals, etc.

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Entropy of random walk range

Itai Benjamini, Gady Kozma, Ariel Yadin, Amir Yehudayoff (2010)

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

We study the entropy of the set traced by an n-step simple symmetric random walk on ℤd. We show that for d≥3, the entropy is of order n. For d=2, the entropy is of order n/log2n. These values are essentially governed by the size of the boundary of the trace.

Exactness of skew products with expanding fibre maps

Thomas Bogenschütz, Zbigniew Kowalski (1996)

Studia Mathematica

We give an elementary proof for the uniqueness of absolutely continuous invariant measures for expanding random dynamical systems and study their mixing properties.

Currently displaying 1 – 2 of 2

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