Семинар Добрушинской математической лаборатории ИППИ РАН
18 февраля, вторник, 16:00, ауд. 307.
Alessandra Faggionato (Uni Rome1):
Stochastic homogenization in amorphous media and applications to interacting
particle systems and random resistor networks
Abstract:
We consider random walks on marked simple point processes with symmetric
jump rates and unbounded jump range. Examples are given by simple random
walks on Delaunay triangulations or Mott variable range hopping in doped
semiconductors. We present homogenization results for the associated
Markov generators. As a first application, we obtain the hydrodynamic
limit of the exclusion process given by multiple random walks as above,
with hard–core interaction. As a second application, we derive a limit
theorem for the effective conductivity of some classes of random resistor
networks. This result together with a percolation-type analysis allows
to derive the low temperature scaling behavior of conductivity in some
classes of strongly disordered media.
15.02.2020 | Комеч Сергей Александрович |