Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Long time behavior of random walks on abelian groups

100%

Bendikov A., Bobikau B.

Colloquium Mathematicum

2010

tom 118

nr 2

445-464

Let 𝔾 be a locally compact non-compact metric group. Assuming that 𝔾 is abelian we construct symmetric aperiodic random walks on 𝔾 with probabilities $n ↦ ℙ(S_{2n} ∈ V)$ of return to any neighborhood V of the neutral element decaying at infinity almost as fast as the exponential function n ↦ exp(-n). We also show that for some discrete groups 𝔾, the decay of the function $n ↦ ℙ(S_{2n} ∈ V)$ can be made as slow as possible by choosing appropriate aperiodic random walks Sₙ on 𝔾.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Bendikov A.

1 Bobikau B.

1 2010

Wyniki wyszukiwania

Long time behavior of random walks on abelian groups