On pinned fields, interlacements, and random walk on $$({\mathbb {Z}}/N {\mathbb {Z}})^2$$ ( Z / N Z ) 2-Reference-Cited by-同舟云学术

On pinned fields, interlacements, and random walk on $$({\mathbb {Z}}/N {\mathbb {Z}})^2$$ ( Z / N Z ) 2

Published:2018-06-11 Issue:3-4 Volume:173 Page:1265-1299
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Rodriguez Pierre-François

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00440-018-0851-z.pdf

Reference25 articles.

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2. Benjamini, I., Sznitman, A.-S.: Giant component and vacant set for random walk on a discrete torus. J. Eur. Math. Soc. 10(1), 133–172 (2008)

3. Černý, J., Teixeira, A.: From random walk trajectories to random interlacements. Ensaios Matemáticos, vol. 23. Sociedade Brasileira de Matemática, Rio de Janeiro (2012)

4. Černý, J., Teixeira, A.: Random walks on torus and random interlacements: macroscopic coupling and phase transition. Ann. Appl. Probab. 26(5), 2883–2914 (2016)

5. Comets, F., Popov, S.: The vacant set of two-dimensional critical random interlacement is infinite. Ann. Probab. 45(6B), 4752–4785 (2017)

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