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Tubular recurrence |
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| Authors: | Michael S Keane Silke W W Rolles |
| Institution: | (1) Mathematics Department, Wesleyan University, Middletown, CT, 06459, U.S.A.;(2) University of California dDepartment of Mathematics, Box 951555, Los Angeles, CA, 90095-1555, U.S.A |
| Abstract: | We introduce the directed-edge-reinforced random walk and prove that the process is equivalent to a random walk in random environment. Using Oseledec"s multiplicative ergodic theorem, we obtain recurrence and transience criteria for random walks in random environment on graphs with a certain linear structure and apply them to directed-edge-reinforced random walks. This revised version was published online in August 2006 with corrections to the Cover Date. |
| Keywords: | random walk in random environment reinforced random walk recurrence transience |
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