- Abstract:
-
The goal is to show that an edge-reinforced random, walk on a graph of bounded degree, with reinforcement weight function W taken from a general class of reciprocally summable reinforcement weight functions, traverses a random attracting edge at all large times. The statement of the main theorem is very close to settling a conjecture of Sellke [Technical Report 94-26 (1994) Purdue Univ.]. An important corollary of this main result says that if W is reciprocally summable and nondecreasing, the...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1214/009117906000001097
-
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- Journal:
- ANNALS OF PROBABILITY
- Volume:
- 35
- Issue:
- 5
- Pages:
- 1783-1806
- Publication date:
- 2007-09-05
- DOI:
- ISSN:
-
0091-1798
- URN:
-
uuid:8b82583c-adb3-4060-9249-d407b66bcc55
- Source identifiers:
-
29534
- Local pid:
- pubs:29534
- Keywords:
- Copyright date:
- 2007
Journal article
Attracting edge and strongly edge reinforced walks
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