Loop-erased walks intersect infinitely often in four dimensions

Electronic Communications in Probability

Volumn 3, Issue , 1998, Pages 35-42

  Lawler, Gregory F ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

Intersections; Loop Erased Walks; Random Walks

Indexed keywords

EID: 0042408257     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v3-991     Document Type: Article

References (7)

1. Guttmann, A. and Bursill, R. (1990). Criticai exponent for the loop-erased self-avoiding walk by Monte Carlo methods. J. Stat. Phys. 59, 1-9.
2. Lawler, G. (1991). Intersections of Random Walks. Birkhauser-Boston.
3. Lawler, G.(1992). Escape probabilities for slowly recurrent sets, Probab. Theory Relat. Fields 94, 91-117.
4. Lawler, G. (1996). Cut points for simple random walk, Electronic Journal of Probability 1, #13.
5. Lawler, G. (1997). Strict concavity of the intersection exponent for Brownian motion in two and three dimensions, preprint.
6. Lyons, R., Peres, Y., and Schramm, O., Can a Markov chain intersect an independent copy only in its loops, to appear.
7. Spitzer, F. (1976). Principies of Random Walk, Springer-Verlag.