| bibtype |
M -
Monography Chapter
|
| ARLID |
0476050 |
| utime |
20240103214238.6 |
| mtime |
20170711235959.9 |
| SCOPUS |
85048497883 |
| DOI |
10.1017/9781316403877.007 |
| title
(primary) (eng) |
The Brownian web, the Brownian net, and their universality |
| specification |
| book_pages |
380 |
| page_count |
99 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0476049 |
| ISBN |
9781107124103 |
| title
|
Advances in Disordered Systems, Random Processes and Some Applications |
| page_num |
270-368 |
| publisher |
| place |
Cambridge |
| name |
Cambridge University Press |
| year |
2016 |
|
| editor |
| name1 |
Contucci |
| name2 |
Pierluigi |
|
| editor |
| name1 |
Giardina |
| name2 |
Cristian |
|
|
| keyword |
Brownian net |
| keyword |
Brownian web |
| keyword |
universality |
| author
(primary) |
| ARLID |
cav_un_auth*0295338 |
| share |
33 |
| name1 |
Schertzer |
| name2 |
E. |
| country |
FR |
|
| author
|
| ARLID |
cav_un_auth*0253274 |
| share |
34 |
| name1 |
Sun |
| name2 |
R. |
| country |
SG |
|
| author
|
| ARLID |
cav_un_auth*0217893 |
| full_dept |
Department of Stochastic Informatics |
| share |
33 |
| name1 |
Swart |
| name2 |
Jan M. |
| institution |
UTIA-B |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| country |
CZ |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| ARLID |
cav_un_auth*0321649 |
| project_id |
GA15-08819S |
| agency |
GA ČR |
| country |
CZ |
|
| abstract
(eng) |
The Brownian web is a collection of one-dimensional coalescing Brownian motions starting from everywhere in space and time, and the Brownian net is a generalization that also allows branching. They appear in the diffusive scaling limits of many one-dimensional interacting particle systems with branching and coalescence. This article gives an introduction to the Brownian web and net, and how they arise in the scaling limits of various one-dimensional models, focusing mainly on coalescing random walks and random walks in i.i.d. space-time random environments. We will also briefly survey models and results connected to the Brownian web and net, including alternative topologies, population genetic models, true self-repelling motion, planar aggregation, drainage networks, oriented percolation, black noise and critical percolation. Some open questions are discussed at the end. |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2018 |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0273539 |
| cooperation |
| ARLID |
cav_un_auth*0347573 |
| name |
UPMC University Paris 6 |
| country |
FR |
|
| cooperation |
| ARLID |
cav_un_auth*0319768 |
| name |
National University of Singapore |
| country |
SG |
|
| confidential |
S |
| arlyear |
2016 |
| mrcbU14 |
85048497883 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
WOS |
| mrcbU63 |
cav_un_epca*0476049 Advances in Disordered Systems, Random Processes and Some Applications Cambridge University Press 2016 Cambridge 270 368 9781107124103 |
| mrcbU67 |
340 Contucci Pierluigi |
| mrcbU67 |
340 Giardina Cristian |
|