{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T09:08:02Z","timestamp":1768554482420,"version":"3.49.0"},"reference-count":36,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T00:00:00Z","timestamp":1768435200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"NSF of China","doi-asserted-by":"publisher","award":["12350710786"],"award-info":[{"award-number":["12350710786"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"NSF of China","doi-asserted-by":"publisher","award":["12375037"],"award-info":[{"award-number":["12375037"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We investigated the diffusive dynamics of a L\u00e9vy walk subject to stochastic resetting through combined numerical and theoretical approaches. Under exponential resetting, the process mean squared displacement (MSD) undergoes a sharp transition from free superdiffusive behavior with exponent \u03b30 to a steady-state saturation regime. In contrast, power-law resetting with exponent \u03b2 exhibits three asymptotic MSD regimes: free superdiffusion for \u03b2&lt;1, superdiffusive scaling with a linearly \u03b2-decreasing exponent for 1&lt;\u03b2&lt;\u03b30+1, and localization characterized by finite steady-state plateaus for \u03b2&gt;\u03b30+1. MSD scaling laws derived via renewal theory-based analysis demonstrate excellent agreement with numerical simulations. These findings offer new insights for optimizing search strategies and controlling transport processes in non-equilibrium environments.<\/jats:p>","DOI":"10.3390\/e28010104","type":"journal-article","created":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T14:35:38Z","timestamp":1768487738000},"page":"104","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["L\u00e9vy Diffusion Under Power-Law Stochastic Resetting"],"prefix":"10.3390","volume":"28","author":[{"given":"Jianli","family":"Liu","sequence":"first","affiliation":[{"name":"MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9558-6021","authenticated-orcid":false,"given":"Yunyun","family":"Li","sequence":"additional","affiliation":[{"name":"MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9240-6793","authenticated-orcid":false,"given":"Fabio","family":"Marchesoni","sequence":"additional","affiliation":[{"name":"MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"},{"name":"Dipartimento di Fisica, Universit\u00e0 di Camerino, I-62032 Camerino, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Viswanathan, G.M., da Luz, M.G.E., Raposo, E.P., and Stanley, H.E. 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