caa a22 4500 445392134 CHVBK 20180317143050.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10955-010-0116-4 doi (NATIONALLICENCE)springer-10.1007/s10955-010-0116-4 Nándori Péter Institute of Mathematics, Budapest University of Technology and Economics, Egry József u. 1, 1111, Budapest, Hungary aut Recurrence Properties of a Special Type of Heavy-Tailed Random Walk [Elektronische Daten] [Péter Nándori] In the proof of the invariance principle for locally perturbed periodic Lorentz process with finite horizon, a lot of delicate results were needed concerning the recurrence properties of its unperturbed version. These were analogous to the similar properties of Simple Symmetric Random Walk. However, in the case of Lorentz process with infinite horizon, the analogous results for the corresponding random walk are not known, either. In this paper, these properties are ascertained for the appropriate random walk (this happens to be in the non normal domain of attraction of the normal law). As a tool, an estimation of the remainder term in the local limit theorem for the corresponding random walk is computed. Springer Science+Business Media, LLC, 2011 Random walk nationallicence Heavy tail nationallicence Recurrence nationallicence Local limit theorem nationallicence Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/2(2011-01-01), 342-355 0022-4715 142:2<342 2011 142 10955 https://doi.org/10.1007/s10955-010-0116-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-010-0116-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Nándori Péter Institute of Mathematics, Budapest University of Technology and Economics, Egry József u. 1, 1111, Budapest, Hungary aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/2(2011-01-01), 342-355 0022-4715 142:2<342 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer