{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:45:34Z","timestamp":1760147134258,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2023,1,13]],"date-time":"2023-01-13T00:00:00Z","timestamp":1673568000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"NSF","doi-asserted-by":"publisher","award":["PHY-1205788"],"award-info":[{"award-number":["PHY-1205788"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Weak scattering in a random disordered medium and the associated extreme-event statistics are of great interest in various physical contexts. Here, in the context of non-relativistic particle motion through a weakly correlated random potential, we show how extreme events in particle densities are strongly related to the stretching exponents, where the \u2019hot spots\u2019 in the intensity profile correspond to minima in the stretching exponents. This strong connection is expected to be valid for different random potential distributions, as long as the disorder is correlated and weak, and is also expected to apply to other physical contexts, such as deep ocean waves.<\/jats:p>","DOI":"10.3390\/e25010161","type":"journal-article","created":{"date-parts":[[2023,1,13]],"date-time":"2023-01-13T02:05:52Z","timestamp":1673575552000},"page":"161","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Ray-Stretching Statistics and Hot-Spot Formation in Weak Random Disorder"],"prefix":"10.3390","volume":"25","author":[{"given":"Sicong","family":"Chen","sequence":"first","affiliation":[{"name":"Department of Physics and Engineering Physics, Tulane University, New Orleans, LA 70118, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lev","family":"Kaplan","sequence":"additional","affiliation":[{"name":"Department of Physics and Engineering Physics, Tulane University, New Orleans, LA 70118, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1437","DOI":"10.1109\/TGRS.2003.811815","article-title":"Detection of wave groups in SAR images and radar image sequences","volume":"41","author":"Dankert","year":"2003","journal-title":"IEEE Trans. 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