0462694 20240103212615.520160916235959.9 84987597576 000422970700001 10.1007/s00440-016-0741-1 9 s. P cav_un_epca*02547970178-80511701-9Springer subcritical contact process sharpness of the phase transition eigenmeasure cav_un_auth*0217893 Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics 100 Swart Jan M. UTIA-B CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2016/SI/swart-0462694.pdf cav_un_auth*0334217 GA16-15238S GA ČR CZ 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. BA 10000 10100 10101 2019 1 4 A hod 4ah 20231122141854.5 RVO:67985556 http://hdl.handle.net/11104/0262360 1 Department of Stochastic Informatics UTIA-B 10103 STATISTICS & PROBABILITY S 3+4 Article Statistics Probability STATISTICS&PROBABILITY 2.446 0.681 13.3 0.01413 3.041 3513 3.672 2.324 72 Q1 93.645 89 Q1* Q1* 1.49 Q1 89.024 2018 Soubory v repozitáři: swart-0462694.pdf 84987597576 SCOPUS 000422970700001 WOS cav_un_epca*0254797 Probability Theory and Related Fields 0178-8051 1432-2064 Roč. 170 1-2 2018 1 9 Springer