BEGIN:VCALENDAR VERSION:2.0 PRODID:-//CERN//INDICO//EN BEGIN:VEVENT SUMMARY:Resetting search for multiple targets DTSTART;VALUE=DATE-TIME:20260923T140000Z DTEND;VALUE=DATE-TIME:20260923T142000Z DTSTAMP;VALUE=DATE-TIME:20260914T013526Z UID:indico-contribution-543@indico.bitp.kiev.ua DESCRIPTION:Speakers: Leonid Christophorov (Bogolyubov Institute for Theor etical Physics\, NAS Ukraine)\nResearch into stochastic processes with res etting is currently in a phase of intensive development. After the initial period\, when the main effects of optimizing target search in basic rando m walk models were identified\, researchers moved on to studying more comp lex problems with a focus on their practical aspects. One example is the p rocess of sequentially locating/destroying multiple targets by a random wa lker\, as a prototype of the DNA repair process.\n \nIn this report\, we s how that such a process can be fully described in terms of the theory of r andom walks with resetting along a one-dimensional lattice with a single t arget that we developed earlier [1]. For the case of clusters of targets l ocated at lattice nodes\, exact analytical expressions for the mean times Тm of the consecutive annihilation of all *m* targets\, as well as a recu rsive relationship\, are found. Calculations show that in certain topologi es of the model\, the counter-intuitive effect of accelerated annihilation with increasing *m*\, Т*m* 1 in both infinite and finite chains. In the latter\, the effect is present even in the absence of resetting. We analy se in detail the nature of this effect and show that it is not generated b y Poissonian resetting\, which rather weakens the effect\, but by the stat istical properties of random walks [2].\n\nThe work is performed within th e Project 0121U109816 of the NAS of Ukraine. Partial support from the Simo ns Foundation is gratefully acknowledged.\n \n1. L.N. Christophorov. J. Ph ys. A: Math. Theor. 54\, 015001 (2021)\; J. Phys. A: Math. Theor. 55\, 155 006 (2022)\; Ukr. J. Phys. 69\, 591 (2024).\n2. L.N. Christophorov. J. Phy s. A: Math. Theor. 59\, 015002 (2026).\n\nhttps://indico.bitp.kiev.ua/even t/18/contributions/543/ LOCATION:Bogolyubov Institute for Theoretical Physics Conference Hall URL:https://indico.bitp.kiev.ua/event/18/contributions/543/ END:VEVENT END:VCALENDAR