| bibtype |
J -
Journal Article
|
| ARLID |
0462694 |
| utime |
20240103212615.5 |
| mtime |
20160916235959.9 |
| SCOPUS |
84987597576 |
| WOS |
000422970700001 |
| DOI |
10.1007/s00440-016-0741-1 |
| title
(primary) (eng) |
A simple proof of exponential decay of subcritical contact processes |
| specification |
| page_count |
9 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0254797 |
| ISSN |
0178-8051 |
| title
|
Probability Theory and Related Fields |
| volume_id |
170 |
| page_num |
1-9 |
| publisher |
|
|
| keyword |
subcritical contact process |
| keyword |
sharpness of the phase transition |
| keyword |
eigenmeasure |
| author
(primary) |
| ARLID |
cav_un_auth*0217893 |
| full_dept (cz) |
Stochastická informatika |
| full_dept (eng) |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department (eng) |
SI |
| full_dept |
Department of Stochastic Informatics |
| share |
100 |
| name1 |
Swart |
| name2 |
Jan M. |
| institution |
UTIA-B |
| country |
CZ |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0334217 |
| project_id |
GA16-15238S |
| agency |
GA ČR |
| country |
CZ |
|
| abstract
(eng) |
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. |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2019 |
| num_of_auth |
1 |
| mrcbC52 |
4 A hod 4ah 20231122141854.5 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0262360 |
| mrcbC64 |
1 Department of Stochastic Informatics UTIA-B 10103 STATISTICS & PROBABILITY |
| confidential |
S |
| mrcbC86 |
3+4 Article Statistics Probability |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
3.041 |
| mrcbT16-s |
3.672 |
| mrcbT16-B |
93.645 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2018 |
| mrcbTft |
\nSoubory v repozitáři: swart-0462694.pdf |
| mrcbU14 |
84987597576 SCOPUS |
| mrcbU34 |
000422970700001 WOS |
| mrcbU63 |
cav_un_epca*0254797 Probability Theory and Related Fields 0178-8051 1432-2064 Roč. 170 1-2 2018 1 9 Springer |
|