A simple proof of exponential decay of subcritical contact processes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F18%3A00462694" target="_blank" >RIV/67985556:_____/18:00462694 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00440-016-0741-1" target="_blank" >http://dx.doi.org/10.1007/s00440-016-0741-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00440-016-0741-1" target="_blank" >10.1007/s00440-016-0741-1</a>

Result language
angličtina
Original language name
A simple proof of exponential decay of subcritical contact processes
Original language description
This paper gives a new, simple proof of the known fact that for contact processes on general lattices, in the subcritical regime the expected number of infected sites decays exponentially fast as time tends to infinity. The proof also yields an explicit bound on the survival probability below the critical recovery rate, which shows that the critical exponent associated with this function is bounded from below by its mean-field value. The main idea of the proof is that if the expected number of infected sites decays slower than exponentially, then this implies the existence of a harmonic function that can be used to show that the process survives for any lower value of the recovery rate.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA16-15238S" target="_blank" >GA16-15238S: Collective behavior of large stochastic systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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