{"paper":{"title":"A Quenched Functional Central Limit Theorem for Planar Random Walks in Random Sceneries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Julien Poisat, Nadine Guillotin-Plantard (ICJ), Renato Soares Dos Santos (ICJ)","submitted_at":"2013-06-16T07:44:01Z","abstract_excerpt":"Random walks in random sceneries (RWRS) are simple examples of stochastic processes in disordered media. They were introduced at the end of the 70's by Kesten-Spitzer and Borodin, motivated by the construction of new self-similar processes with stationary increments. Two sources of randomness enter in their definition: a random field $\\xi = (\\xi_x)_{x \\in \\Z^d}$ of i.i.d.\\ random variables, which is called the \\emph{random scenery}, and a random walk $S = (S_n)_{n \\in \\N}$ evolving in $\\Z^d$, independent from the scenery. The RWRS $Z = (Z_n)_{n \\in \\N}$ is then defined as the accumulated scene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3635","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}