| bibtype |
J -
Journal Article
|
| ARLID |
0464455 |
| utime |
20240111140926.8 |
| mtime |
20161027235959.9 |
| SCOPUS |
84997190838 |
| WOS |
000396611400019 |
| DOI |
10.1214/16-EJP4399 |
| title
(primary) (eng) |
Invariant measures of mass migration processes |
| specification |
| page_count |
52 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0041954 |
| ISSN |
1083-6489 |
| title
|
Electronic Journal of Probability |
| volume_id |
21 |
| volume |
1 (2016) |
| page_num |
1-52 |
| publisher |
| name |
Institute of Mathematical Statistics |
|
|
| keyword |
interacting particle systems |
| keyword |
product invariant measures |
| keyword |
zero range process |
| keyword |
target process |
| keyword |
mass migration process |
| keyword |
condensation |
| author
(primary) |
| ARLID |
cav_un_auth*0101081 |
| full_dept (cz) |
Stochastická informatika |
| full_dept (eng) |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department (eng) |
SI |
| full_dept |
Department of Stochastic Informatics |
| name1 |
Fajfrová |
| name2 |
Lucie |
| institution |
UTIA-B |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0336114 |
| name1 |
Gobron |
| name2 |
T. |
| country |
FR |
|
| author
|
| ARLID |
cav_un_auth*0278702 |
| name1 |
Saada |
| name2 |
E. |
| country |
FR |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0291241 |
| project_id |
GAP201/12/2613 |
| agency |
GA ČR |
|
| project |
| ARLID |
cav_un_auth*0334217 |
| project_id |
GA16-15238S |
| agency |
GA ČR |
| country |
CZ |
|
| abstract
(eng) |
We introduce the “mass migration process” (MMP), a conservative particle system on NZdNZd. It consists in jumps of kk particles (k≥1k≥1) between sites, with a jump rate depending only on the state of the system at the departure and arrival sites of the jump. It generalizes misanthropes processes, hence zero range and target processes. After the construction of MMP, our main focus is on its invariant measures. We derive necessary and sufficient conditions for the existence of translation invariant and invariant product probability measures. In the particular cases of asymmetric mass migration zero range and mass migration target dynamics, these conditions yield explicit solutions. If these processes are moreover attractive, we obtain a full characterization of all translation invariant, invariant probability measures. We also consider attractiveness properties (through couplings), condensation phenomena, and their links for MMP. We illustrate our results on many examples; we prove the coexistence of condensation and attractiveness in one of them. |
| RIV |
BA |
| reportyear |
2017 |
| num_of_auth |
3 |
| mrcbC52 |
4 A hod 4ah 20231122141953.0 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0263948 |
| cooperation |
| ARLID |
cav_un_auth*0332322 |
| name |
Université de Cergy-Pontoise |
| country |
FR |
|
| cooperation |
| ARLID |
cav_un_auth*0300547 |
| name |
Université Paris Descartes |
| country |
FR |
|
| mrcbC64 |
1 Department of Stochastic Informatics UTIA-B 10103 STATISTICS & PROBABILITY |
| confidential |
S |
| article_num |
60 |
| mrcbC86 |
2 Article Statistics Probability |
| mrcbT16-e |
STATISTICSPROBABILITY |
| mrcbT16-j |
1.315 |
| mrcbT16-s |
1.792 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
68.522 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2016 |
| mrcbTft |
\nSoubory v repozitáři: fajfrova-0464455.pdf |
| mrcbU14 |
84997190838 SCOPUS |
| mrcbU34 |
000396611400019 WOS |
| mrcbU56 |
PDF |
| mrcbU63 |
cav_un_epca*0041954 Electronic Journal of Probability 1083-6489 1083-6489 Roč. 21 č. 1 2016 1 52 Institute of Mathematical Statistics |
|