| bibtype |
J -
Journal Article
|
| ARLID |
0546728 |
| utime |
20240903170552.6 |
| mtime |
20211015235959.9 |
| SCOPUS |
85117380337 |
| WOS |
000700613800004 |
| DOI |
10.1214/21-AOP1507 |
| title
(primary) (eng) |
Frozen percolation on the binary tree is nonendogenous |
| specification |
| page_count |
45 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0250815 |
| ISSN |
0091-1798 |
| title
|
Annals of Probability |
| volume_id |
49 |
| volume |
5 (2021) |
| page_num |
2272-2316 |
| publisher |
| name |
Institute of Mathematical Statistics |
|
|
| keyword |
frozen percolation |
| keyword |
self-organised criticality |
| keyword |
recursive distributional equation |
| keyword |
recursive tree process |
| keyword |
endogeny |
| keyword |
near-critical percolation |
| keyword |
branching process |
| author
(primary) |
| ARLID |
cav_un_auth*0415461 |
| name1 |
Ráth |
| name2 |
B. |
| country |
HU |
| share |
34 |
|
| author
|
| ARLID |
cav_un_auth*0217893 |
| name1 |
Swart |
| name2 |
Jan M. |
| institution |
UTIA-B |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| full_dept |
Department of Stochastic Informatics |
| country |
CZ |
| share |
33 |
| garant |
K |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0415462 |
| name1 |
Terpai |
| name2 |
T. |
| country |
HU |
| share |
33 |
|
| source |
|
| source |
|
| cas_special |
| project |
| project_id |
GA19-07140S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0385132 |
|
| abstract
(eng) |
In frozen percolation, i.i.d. uniformly distributed activation times are assigned to the edges of a graph. At its assigned time an edge opens provided neither of its end vertices is part of an infinite open cluster, in the opposite case it freezes. Aldous (Math. Proc. Cambridge Philos. Soc. 128 (2000) 465–477) showed that such a process can be constructed on the infinite 3-regular tree and asked whether the event that a given edge freezes is a measurable function of the activation times assigned to all edges. We give a negative answer to this question, or, using an equivalent formulation and terminology introduced by Aldous and Bandyopadhyay (Ann. Appl. Probab. 15 (2005) 1047–1110), we show that the recursive tree process associated with frozen percolation on the oriented binary tree is nonendogenous. An essential role in our proofs is played by a frozen percolation process on a continuous-time binary Galton–Watson tree that has nice scale invariant properties. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10103 |
| reportyear |
2022 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0323442 |
| cooperation |
| ARLID |
cav_un_auth*0320137 |
| name |
Budapest University of Technology and Economics |
| institution |
BME |
| country |
HU |
|
| cooperation |
| ARLID |
cav_un_auth*0415463 |
| name |
Eötvös Loránd University |
| institution |
ELTE |
| country |
HU |
|
| confidential |
S |
| mrcbC86 |
3+4 Article Statistics Probability |
| mrcbC91 |
C |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
2.718 |
| mrcbT16-s |
2.955 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1* |
| arlyear |
2021 |
| mrcbU14 |
85117380337 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000700613800004 WOS |
| mrcbU63 |
cav_un_epca*0250815 Annals of Probability 0091-1798 Roč. 49 č. 5 2021 2272 2316 Institute of Mathematical Statistics |
|