Recurrence and transience for long-range reversible random walks on a random point process
Pietro Caputo, Università di Roma Tre
Alessandra Faggionato, University La Sapienza, Rome. Italy
Alexandre Gaudilliere, University of Roma Tre.
Abstract
We consider reversible random walks in random environment obtained from symmetric
long--range jump rates on a random point process. We prove almost sure transience
and recurrence results under suitable assumptions
on the point process and the jump rate function.
For recurrent models we obtain
almost sure estimates on effective resistances in finite boxes.
For transient models we construct explicit fluxes with finite energy on the
associated electrical network.
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