The Free Uniform Spanning Forest is disconnected in some virtually free groups, depending on the generator set
Author:
Affiliation:
1. Alfréd Rényi Institute of Mathematics
2. Division of Mathematics, The Science Institute, University of Iceland
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference34 articles.
1. Durrett, R. (2010). Probability: Theory and Examples, 4th ed. Cambridge Series in Statistical and Probabilistic Mathematics 31. Cambridge Univ. Press, Cambridge.
2. LUPU, T. (2016). From loop clusters and random interlacements to the free field. Ann. Probab. 44 2117–2146.
3. ALEXY, M., BORBÉNYI, M., IMOLAY, A. and TIMÁR, Á. (2022). Connectedness of the free uniform spanning forest as a function of edge weights. Electron. Commun. Probab. 27 Paper No. 13, 12 pp.
4. BEKKA, M. E. B. and VALETTE, A. (1997). Group cohomology, harmonic functions and the first L2-Betti number. Potential Anal. 6 313–326.
5. BENJAMINI, I. (1991). Instability of the Liouville property for quasi-isometric graphs and manifolds of polynomial volume growth. J. Theoret. Probab. 4 631–637.
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