機率研討會
主講者: | 鄭星華教授 (Hong Kong University of Science and Technology, Hong Kong) |
講題: | The random conductance model with Cauchy tails |
時間: | 2010-06-09 (Wed.) 14:00 - 15:30 |
地點: | 數學所 722 研討室 (台大院區) |
Abstract: | We consider a random walk in an i.i.d. Cauchy-tailed conductances environment. We obtain a quenched functional CLT for the suitably rescaled random walk, and, as a key step in the arguments, we improve the local limit theorem for $p^\omega_{n2 t}(0,y)$ in [Barlow and Deuschel,Theorem 5.14] to a result which gives uniform convergence for $p^\omega_{n2 t}(x,y)$ for all $x, y$ in a ball. Based on joint work with M.T. Barlow. |
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