SPMES: An ergodic theorem with weights and applications to random measures, RW homogenisation ...

Seminário de Probabilidade e Mecânica Estatística
Título: An ergodic theorem with weights and applications to random measures, RW homogenisation and IPS hydrodynamics
Palestrante: Alessandra Faggionato, Università di Roma La Sapienza
Playlist dos videos: bit.ly/30ZkHWe
Birkhoff's ergodic theorem is a cornerstone in Mathematics, with a huge range of applications. We present here an extended form of the multidimensional ergodic theorem with weights, which allows to derive large scale averaging of stationary ergodic random measures on R^d, also when the testing observables are not compactly supported. This control at infinity of random measures plays a crucial role when analysing the large scale behaviour of RWs and IPSs on weighted random graphs on R^d built on simple point processes. In particular, this allows us to obtain homogenization and hydrodynamics under weaker conditions. We will then discuss several examples in order to emphasize the universality of our results.
Data: 23/03/2024
Apoio:
IMPA
Instituto Superior Técnico de Lisboa
UFBA
UFMG
UFRGS
UFRJ
Unicamp
Universidade do Porto
USP
Comitê científico:
Luiz Renato Fontes (USP)
Tertuliano Franco (UFBA)
Nancy Lopes Garcia (Unicamp)
Patrícia Gonçalves (IST, Lisboa)
Marcelo Hilário (UFMG)
Roberto Imbuzeiro (Coordenador, IMPA)
Claudio Landim (Coordenador, IMPA)
Adriana Neumann (UFRGS)
Serguei Popov (UP, Porto)
Glauco Valle (UFRJ)
Redes Sociais do IMPA: linktr.ee/impabr
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