Limit Theorems for Additive Functionals of Continuous-Time Lattice Random Walks in a Stationary Random Environment
DOI:
https://doi.org/10.17713/ajs.v52iSI.1758Abstract
For a continuous-time lattice random walk $X^\Lambda=\set{X^\Lambda_t,t\ge 0}$ in a random environment $\Lambda$, we study the asymptotic behavior, as $t\rightarrow \infty$, of the normalized additive functional $c_t\int_0^{t} f(X^\Lambda_s)ds$, $t\ge 0$. We establish a limit theorem for it, which is similar to that in the non-lattice case, under less restrictive assumptions.
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Copyright (c) 2023 Georgiy Shevchenko, Andrii Yaroshevskiy
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