Adaptive Resetting for Informed Search Strategies and the Design of Non-equilibrium Steady-States

Adaptive Resetting for Informed Search Strategies and the Design of Non-equilibrium Steady-States | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Adaptive Resetting for Informed Search Strategies and the Design of Non-equilibrium Steady-States Shlomi Reuveni, Tommer Keidar, Ofir Blumer, Barak Hirshberg This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-5173132/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 06 Aug, 2025 Read the published version in Nature Communications → Version 1 posted You are reading this latest preprint version Abstract Stochastic resetting, the procedure of stopping and re-initializing random processes, has recently emerged as a powerful tool for accelerating processes ranging from queuing systems to molecular simulations. However, its usefulness is severely limited by assuming that the resetting protocol is completely decoupled from the state and age of the process that is being reset. We present a general formulation for state- and time-dependent resetting of stochastic processes, which we call adaptive resetting. This allows us to predict, using a single set of trajectories without resetting and via a simple reweighing procedure, all key observables of processes with adaptive resetting. These include the first-passage time distribution, the propagator, and the steady-state. Our formulation enables efficient exploration of informed search strategies and facilitates the prediction and design of complex non-equilibrium steady states, eliminating the need for extensive brute-force sampling across different resetting protocols. Physical sciences/Physics/Statistical physics, thermodynamics and nonlinear dynamics Physical sciences/Chemistry/Theoretical chemistry Full Text Additional Declarations There is NO Competing Interest. Supplementary Files SI.pdf Cite Share Download PDF Status: Published Journal Publication published 06 Aug, 2025 Read the published version in Nature Communications → Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-5173132","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":366363799,"identity":"ec762083-dd20-4a14-9b5d-4e4c013e3d54","order_by":0,"name":"Shlomi Reuveni","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAA/klEQVRIiWNgGAWjYDACCeYGBgYDKCeh4gCYPvAArxZGZC1nDjDwgLQkENQCA4xtEC0M+LTIz25sfHSj4J6cwY3kYw8ezrsjZy92+CHQFjs53QbsWgzuHGw2zjEoNja4kZZukLjtmTGPdJoBUEuysdkBHFokEtukcwwSEjecOWMmkbjtcGKPdAJIy4HEbTi0yM+AaKnfcOb8N4nEOSAt6R/wamG4AdGSYHC8h00isQGkJQe/LQY3EkF+STCcebzNTCLh2GFjnts5BQcSDHD7RX5G8sHHOX8S5PkOMz+T/FFzWI59dvrmDx8q7ORwacEFDAgrGQWjYBSMglGAGwAAFmNlX73+FKYAAAAASUVORK5CYII=","orcid":"","institution":"Tel Aviv University","correspondingAuthor":true,"prefix":"","firstName":"Shlomi","middleName":"","lastName":"Reuveni","suffix":""},{"id":366363800,"identity":"dd464ff7-f65d-4985-b7f3-887bca7b4f0c","order_by":1,"name":"Tommer Keidar","email":"","orcid":"https://orcid.org/0009-0005-8654-5574","institution":"Tel Aviv University","correspondingAuthor":false,"prefix":"","firstName":"Tommer","middleName":"","lastName":"Keidar","suffix":""},{"id":366363801,"identity":"6c9be32b-17dc-4a3f-8b23-c4a7f1d9842a","order_by":2,"name":"Ofir Blumer","email":"","orcid":"","institution":"Tel Aviv University","correspondingAuthor":false,"prefix":"","firstName":"Ofir","middleName":"","lastName":"Blumer","suffix":""},{"id":366363802,"identity":"e92d7702-a014-4e78-aac2-4be52245f659","order_by":3,"name":"Barak Hirshberg","email":"","orcid":"https://orcid.org/0000-0002-0014-515X","institution":"Tel Aviv University","correspondingAuthor":false,"prefix":"","firstName":"Barak","middleName":"","lastName":"Hirshberg","suffix":""}],"badges":[],"createdAt":"2024-09-29 05:55:16","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-5173132/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-5173132/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1038/s41467-025-62398-2","type":"published","date":"2025-08-06T04:00:00+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":88507850,"identity":"5a6be554-c395-4924-bf05-8858f5bd1752","added_by":"auto","created_at":"2025-08-07 07:40:03","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":1578123,"visible":true,"origin":"","legend":"","description":"","filename":"AdaptiveResetting.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5173132/v1_covered_063ca389-b9c7-409c-bb67-f56a4b9b50ad.pdf"},{"id":79227304,"identity":"9963edb1-170f-4aeb-9183-d069d483e9ba","added_by":"auto","created_at":"2025-03-26 01:21:04","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"supplement","size":911709,"visible":true,"origin":"","legend":"\u003cp\u003e\u003cbr\u003e\u003c/p\u003e","description":"","filename":"SI.pdf","url":"https://assets-eu.researchsquare.com/files/rs-5173132/v1/05e6a3035d4eba6df685000c.pdf"}],"financialInterests":"There is \u003cb\u003eNO\u003c/b\u003e Competing Interest.","formattedTitle":"Adaptive Resetting for Informed Search Strategies and the Design of Non-equilibrium Steady-States","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":true,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"nature-portfolio","isNatureJournal":true,"hasQc":false,"allowDirectSubmit":false,"externalIdentity":"","sideBox":"","snPcode":"","submissionUrl":"","title":"Nature Portfolio","twitterHandle":"","acdcEnabled":false,"dfaEnabled":false,"editorialSystem":"ejp","reportingPortfolio":"","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"","lastPublishedDoi":"10.21203/rs.3.rs-5173132/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-5173132/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"Stochastic resetting, the procedure of stopping and re-initializing random processes, has recently emerged as a powerful tool for accelerating processes ranging from queuing systems to molecular simulations. 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