Random nearest neighbor graphs: The translation invariant case

Author:

Bock Bounghun1,Damron Michael1,Hanson Jack2

Affiliation:

1. School of Mathematics, Georgia Institute of Technology, 686 Cherry St., Atlanta, GA 30332, USA

2. Department of Mathematics, City University of New York, City College, 160 Convent Ave, NAC 6/292, New York, NY 10031, USA

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference19 articles.

1. D. Ahlberg and C. Hoffman. Random coalescing geodesics in first-passage percolation. Preprint, 2016.

2. P. Ballister and B. Bollobás. Percolation in the k-nearest neighbor graph. In Recent Results in Designs and Graphs: A Tribute to Lucia Gionfriddo, Quaderni di Matematica (M. Buratti, C. Lindner, F. Mazzocca, and N. Melone, eds.) 83–100, 28, 2013.

3. D. Boivin and J.-M. Derrien. Geodesics and recurrence of random walks in disordered systems. Ann. Probab. 7 (1991) 101–115.

4. G. Brito, M. Damron and J. Hanson. Absence of backward infinite paths for first-passage percolation in arbitrary dimension. Preprint, 2020.

5. R. Burton and M. Keane. Topological and metric properties of infinite clusters in stationary two-dimensional site-percolation. Israel J. Math. 76 (1991) 299–316.

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