For any transient random walk on Z^d, the normalized spatial sum of any modestly growing function of local times converges almost surely to an explicit constant in terms of the escape probability.
B.: Strong renewal theorems with infinite mea n
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Strong law of large numbers for a function of the local times of a transient random walk in $\mathbb Z^d$
For any transient random walk on Z^d, the normalized spatial sum of any modestly growing function of local times converges almost surely to an explicit constant in terms of the escape probability.