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Extinction time for a random walk in a random environment
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posted on 2023-06-08, 21:46 authored by Anna De Masi, Errico Presutti, Dimitrios Tsagkarogiannis, Maria Eulalia VaresWe consider a random walk with death in [-N, N] moving in a time dependent environment. The environment is a system of particles which describes a current ?ux from N to -N. Its evolution is in?uenced by the presence of the random walk and in turns it a?ects the jump rates of the random walk in a neighborhood of the endpoints, determining also the rate for the random walk to die. We prove an upper bound (uniform in N) for the survival probability up to time t which goes as c exp{-bN-2 t}, with c and b positive constants.
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- Published
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- Published version
Journal
BernoulliISSN
1350-7265Publisher
Bernoulli Society for Mathematical Statistics and ProbabilityExternal DOI
Issue
3Volume
21Page range
1824-1843Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2015-07-23First Compliant Deposit (FCD) Date
2015-07-23Usage metrics
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