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SUMMARY:Encounter times of random walkers with simultaneous resetting on n
 etworks
DTSTART;VALUE=DATE-TIME:20260414T214700Z
DTEND;VALUE=DATE-TIME:20260414T215400Z
DTSTAMP;VALUE=DATE-TIME:20260407T120047Z
UID:indico-contribution-328@fisindico.uniandes.edu.co
DESCRIPTION:Speakers: Cristian David Suarez Jimenez (Universidad Nacional 
 de Colombia)\nIn this work\, we study the dynamics of multiple random walk
 ers on networks subject to a simultaneous resetting protocol\, whereby all
  walkers are synchronously returned to their respective initial nodes. For
  this collective Markovian process\, we derive exact analytical expression
 s for the mean first-encounter time\, defined as the average time required
  for all walkers to meet for the first time at a given node. These results
  are formulated in terms of the eigenvalues and eigenvectors of the transi
 tion matrices governing the dynamics without resetting\, providing a clear
  spectral interpretation of the impact of resetting on encounter processes
 . We further establish a general criterion for finite networks that determ
 ines when the introduction of a nonzero resetting probability reduces the 
 mean first-encounter time and leads to an optimal resetting strategy. The 
 theoretical predictions are illustrated through numerical results on regul
 ar and heterogeneous networks\, for encounters involving two or more walke
 rs\, and for combinations of local and nonlocal dynamics. Our findings dem
 onstrate that simultaneous resetting can significantly reduce encounter ti
 mes for specific targets and initial conditions\, while becoming ineffecti
 ve for highly exploratory dynamics or distant targets. The framework provi
 des a unified approach to collective search and encounter problems on netw
 orks with resetting.\n\nhttps://fisindico.uniandes.edu.co/event/23/contrib
 utions/328/
LOCATION:Universidad Nacional Edificio 564
URL:https://fisindico.uniandes.edu.co/event/23/contributions/328/
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