Timeline for Random walk in random enviroment
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Oct 22, 2020 at 20:26 | comment | added | ofer zeitouni | Incidentally, the paper of Kalikow (1982) is very relevant to the 2D question you are asking, probably more than Solomon's, who deal with 1D. | |
| Oct 22, 2020 at 20:23 | comment | added | ofer zeitouni | For activity through the early 2000's, you can look up my St Flour lecture notes (Springer) on random walk in random environments. It has a detailed bibliography. For work since then, Sznitman , Bolthausen, Varadhan. In particular, in Z^2 we know (due to Zerner and Merkl) that the probability that a one-dimensional projection escapes to $+\infty$ is either 0 or 1, but there is still no effective criterion for transince. | |
| Oct 22, 2020 at 16:56 | comment | added | Peter Wildemann | Visit the following page for exploring the "neighbourhood" of above paper. It seems to be quite an active field: connectedpapers.com/main/… | |
| Oct 22, 2020 at 16:53 | comment | added | Peter Wildemann | For some inspiration: Solomon, Fred. "Random walks in a random environment." The annals of probability (1975): 1-31. | |
| Oct 22, 2020 at 16:37 | comment | added | Peter Wildemann | A very interesting question indeed... you may also want to consider the generalisation of your setting to Markov chains with random transition weights. In this case, one may ask natural questions about reducibility and/or transience of random stochastic matrices... | |
| Oct 22, 2020 at 12:25 | history | asked | Frederik Ravn Klausen | CC BY-SA 4.0 |