{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T17:10:16Z","timestamp":1765041016492,"version":"build-2065373602"},"reference-count":67,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2020,6,22]],"date-time":"2020-06-22T00:00:00Z","timestamp":1592784000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Eli Barkai","award":["The Israel Science Foundations grant 1898\/17"],"award-info":[{"award-number":["The Israel Science Foundations grant 1898\/17"]}]},{"name":"Stanislav Burov","award":["The Pazy foundation grant 61139927"],"award-info":[{"award-number":["The Pazy foundation grant 61139927"]}]},{"name":"Wanli Wang","award":["Bar-Ilan University together with the Planning and Budgeting Committee fellowship program"],"award-info":[{"award-number":["Bar-Ilan University together with the Planning and Budgeting Committee fellowship program"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Recently observation of random walks in complex environments like the cell and other glassy systems revealed that the spreading of particles, at its tails, follows a spatial exponential decay instead of the canonical Gaussian. We use the widely applicable continuous time random walk model and obtain the large deviation description of the propagator. Under mild conditions that the microscopic jump lengths distribution is decaying exponentially or faster i.e., L\u00e9vy like power law distributed jump lengths are excluded, and that the distribution of the waiting times is analytical for short waiting times, the spreading of particles follows an exponential decay at large distances, with a logarithmic correction. Here we show how anti-bunching of jump events reduces the effect, while bunching and intermittency enhances it. We employ exact solutions of the continuous time random walk model to test the large deviation theory.<\/jats:p>","DOI":"10.3390\/e22060697","type":"journal-article","created":{"date-parts":[[2020,6,23]],"date-time":"2020-06-23T04:51:16Z","timestamp":1592887876000},"page":"697","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":34,"title":["Large Deviations for Continuous Time Random Walks"],"prefix":"10.3390","volume":"22","author":[{"given":"Wanli","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel"},{"name":"Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel"}]},{"given":"Eli","family":"Barkai","sequence":"additional","affiliation":[{"name":"Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel"},{"name":"Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1065-174X","authenticated-orcid":false,"given":"Stanislav","family":"Burov","sequence":"additional","affiliation":[{"name":"Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel"}]}],"member":"1968","published-online":{"date-parts":[[2020,6,22]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Majumdar, S.N. 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