Central limit theorem and recurrence for random walks in bistochastic random environments
We prove the annealed central limit theorem for random walks in bistochastic random environments on Z d with zero-local drift. The proof is based on a “dynamicist’s interpretation” of the system and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is deri...
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Veröffentlicht in: | Journal of mathematical physics 2008-12, Vol.49 (12), p.125213-125213-9 |
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container_title | Journal of mathematical physics |
container_volume | 49 |
creator | Lenci, Marco |
description | We prove the annealed central limit theorem for random walks in bistochastic random environments on
Z
d
with zero-local drift. The proof is based on a “dynamicist’s interpretation” of the system and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is derived for
d
≤
2
. |
doi_str_mv | 10.1063/1.3005226 |
format | Article |
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Z
d
with zero-local drift. The proof is based on a “dynamicist’s interpretation” of the system and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is derived for
d
≤
2
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Z
d
with zero-local drift. The proof is based on a “dynamicist’s interpretation” of the system and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is derived for
d
≤
2
.</description><subject>Mathematical problems</subject><subject>Random walk theory</subject><subject>Stochastic models</subject><subject>Theorems</subject><issn>0022-2488</issn><issn>1089-7658</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><recordid>eNqNkE1LAzEURYMoWKsL_0FwpzA1nzOTjSDFLyi40YWrkGYSmjqT1CSt-O-dOhVXiqsH7x7u4x0ATjGaYFTSSzyhCHFCyj0wwqgWRVXyeh-MECKkIKyuD8FRSkuEMK4ZG4GXqfE5qha2rnMZ5oUJ0XRQ-QZGo9cxGq8NtCHC2O9CB99V-5qg83DuUg56oVJ2-js0fuNi8F3fmY7BgVVtMie7OQbPtzdP0_ti9nj3ML2eFZrhMhcUEyGEaRjhTKO5NQpXXNGSYz3noql4Y4yuKCVMUWYbZrdPlNYaxEUfKzoGZ0PvKoa3tUlZLsM6-v6kJJiXWCAseuh8gHQMKUVj5Sq6TsUPiZHcipNY7sT17NXAJu2yyi743-GdPfllTw72-oKLfxf8BW9C_AHlqrH0E41zkmM</recordid><startdate>20081201</startdate><enddate>20081201</enddate><creator>Lenci, Marco</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>JQ2</scope><scope>L7M</scope></search><sort><creationdate>20081201</creationdate><title>Central limit theorem and recurrence for random walks in bistochastic random environments</title><author>Lenci, Marco</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c416t-312999ed4254c0bfea175a3651cb59d75deec73324a34fd4f24886ffe0599d7a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Mathematical problems</topic><topic>Random walk theory</topic><topic>Stochastic models</topic><topic>Theorems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lenci, Marco</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of mathematical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lenci, Marco</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Central limit theorem and recurrence for random walks in bistochastic random environments</atitle><jtitle>Journal of mathematical physics</jtitle><date>2008-12-01</date><risdate>2008</risdate><volume>49</volume><issue>12</issue><spage>125213</spage><epage>125213-9</epage><pages>125213-125213-9</pages><issn>0022-2488</issn><eissn>1089-7658</eissn><coden>JMAPAQ</coden><abstract>We prove the annealed central limit theorem for random walks in bistochastic random environments on
Z
d
with zero-local drift. The proof is based on a “dynamicist’s interpretation” of the system and requires a much weaker condition than the customary uniform ellipticity. Moreover, recurrence is derived for
d
≤
2
.</abstract><cop>New York</cop><pub>American Institute of Physics</pub><doi>10.1063/1.3005226</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
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source | AIP Journals Complete; AIP Digital Archive |
subjects | Mathematical problems Random walk theory Stochastic models Theorems |
title | Central limit theorem and recurrence for random walks in bistochastic random environments |
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