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SUMMARY:First-passage times and queueing behavior of stochastic search wit
 h dynamic redundancy and mortality
DTSTART;TZID=Europe/London:20260619T110000
DTEND;TZID=Europe/London:20260619T120000
DTSTAMP:20260614T180701Z
UID:4bb90741-8844-f111-bec7-7c1e52046848
CREATED:20260430T113229Z
DESCRIPTION:Stochastic search is ubiquitous in biology and ecology\, from 
 synaptic transmission and intracellular signaling to predators seeking pre
 y and the spread of disease. In dynamic systems like these\, the number of
  'searchers' is rarely constant: new agents may be recruited while others 
 can abandon the search. Despite the ubiquity of these dynamics\, their com
 bined influence on search times remains largely unexplored. In this talk w
 e will introduce a general framework for stochastic search in which agents
  progressively join and leave the process\, a mechanism we term 'dynamic r
 edundancy and mortality'. Under minimal assumptions on the underlying sear
 ch dynamics\, our framework yields the exact distribution of the first-pas
 sage time to a target region and further reveals surprising connections to
  stochastic search with stochastic resetting\, wherein a single searcher i
 s randomly 'reset' to its initial state. We will then treat the target reg
 ion as a queue\, which we show has interarrival times governed by a thinne
 d nonhomogeneous Poisson process. Altogether this work provides a rigorous
  foundation for studying stochastic search processes with a fluctuating nu
 mber of searchers. This work is in collaboration with Dr. Aanjaneya Kumar 
 (Santa Fe Institute) and José Giral-Barajas (Imperial College London).
LAST-MODIFIED:20260430T113516Z
LOCATION:Mathematical Institute - L4\, L4 Mathematical Institute Woodstock
  Road Oxford Oxfordshire OX2 6GG United Kingdom
SPEAKER:Dr Samantha Linn (Department of Mathematics\, Imperial College\, L
 ondon)
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