A Non-intersecting Random Walk on the Manhattan Lattice and $${\hbox {SLE}}_{6}$$
Author:
Funder
Directorate for Mathematical and Physical Sciences
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
http://link.springer.com/article/10.1007/s10955-018-2176-9/fulltext.html
Reference22 articles.
1. Amit, D.J., Parisi, G., Peliti, L.: Asymptotic behavior of the “true” self-avoiding walk. Phys. Rev. B 27, 1635 (1983)
2. Bradley, R.M.: Exact $$\theta $$ point and exponents for polymer chains on an oriented two-dimensional lattice. Phys. Rev. A 39, 3738–3740 (1989)
3. Camia, F., Newman, C.M.: Critical percolation exploration path and $$\text{ SLE }_6$$: a proof of convergence. Prob. Theory Relat. Fields 139, 473–519 (2007)
4. Dai, Y.: The exit distribution for smart kinetic walk with symmetric and asymmetric transition probability. J. Stat. Phys. 166, 1455–1463 (2017)
5. Grimmett, G.: Percolation. Springer, New York (1999)
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