R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Random Walk in Random Environment
Yiku Chino (National Yang Ming Chiao Tung University)
Abstract
Stochastic processes in random media have become a hot topic in both mathematics and physics literature. The random walk in random environment is one of the classical models to describe the behavior of some object in a solvent with impurities. The model shows different asymptotic behavior depending on the moment condition for some parameter. The model on one dimensional lattice is solvable, but there are still many open problems for the case in higher dimensions.
In this talk, we focus on the results on one dimensional lattice. Solomon showed the law of large numbers for the transient regime. Kesten, Kozlov and Spitzer proved the fluctuations for the transient regime and Sinai and Kesten proved for recurrent regime. The large deviation principle was also proved for both quenched and annealed cases. Those results will give us some clue how to treat random environment.
WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m3f6cabb89ed192b627b04f64543b03c3
Meeting number (access code): 2515 000 1552
Meeting password: QugqPX376YM
