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Return- and hitting-time limits for rare events of null-recurrent Markov maps
2015
Ergodic Theory and Dynamical Systems
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We determine limit distributions for return- and hitting-time functions of certain asymptotically rare events for conservative ergodic infinite measure preserving transformations with regularly varying asymptotic type. Our abstract result applies, in particular, to shrinking cylinders around typical points of null-recurrent renewal shifts and infinite measure preserving interval maps with neutral fixed points.
doi:10.1017/etds.2015.38
fatcat:7ofm5iup4rclpgiyxz4ysjgkpq