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Currently displaying 1 – 2 of 2

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Random graph-homomorphisms and logarithmic degree.

Benjamini, Itai; Yadin, Ariel; Yehudayoff, Amir — 2007

Electronic Journal of Probability [electronic only]

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 -step simple symmetric random walk on ℤ. We show that for ≥3, the entropy is of order . For =2, the entropy is of order /log2. These values are essentially governed by the size of the boundary of the trace.

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