0476050 20240103214238.620170711235959.9 85048497883 10.1017/9781316403877.007 380 99 s. P cav_un_epca*04760499781107124103270-368CambridgeCambridge University Press2016ContucciPierluigiGiardinaCristian Brownian net Brownian web universality cav_un_auth*0295338 33 Schertzer E. FR cav_un_auth*0253274 34 Sun R. SG cav_un_auth*0217893 Department of Stochastic Informatics 33 Swart Jan M. UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI CZ Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/SI/swart-0476050.pdf cav_un_auth*0321649 GA15-08819S GA ČR CZ 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. BA 10000 10100 10101 2018 3 RVO:67985556 http://hdl.handle.net/11104/0273539 cav_un_auth*0347573 UPMC University Paris 6 FR cav_un_auth*0319768 National University of Singapore SG S 2016 85048497883 SCOPUS PUBMED WOS cav_un_epca*0476049 Advances in Disordered Systems, Random Processes and Some Applications Cambridge University Press 2016 Cambridge 270 368 9781107124103 340 Contucci Pierluigi 340 Giardina Cristian