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We consider unimodular random rooted trees (URTs) and invariant forests in Cayley graphs.
Fundamental domains for lattices in (R-)rank 1 1 semisimple Lie groups
Garland, H · 1970
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Discrete Subgroups of Lie Groups
Raghunathan, M.S · 1972
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An amenable equivalence relation is generated by a single transformation
Connes, A., Feldman, J., · 1982
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Choosing a spanning tree for the integer lattice uniformly
Pemantle, R · 1991
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Percolation perturbations in potential theory and random walks
Benjamini, I., Lyons, R., · 1997
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Spectral analysis on infinite Sierpiński gaskets
Teplyaev, A · 1998
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Group-invariant percolation on graphs
Benjamini, I., Lyons, R., Peres, Y., · 1999
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Boundaries of hyperbolic groups
Kapovich, I · 2001
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Uniform infinite planar triangulations
Angel, O · 2003
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Periodicity and circle packings of the hyperbolic plane
Bowen, L · 2003
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The objective method: probabilistic combinatorial optimization and local weak convergence
Aldous, D.J · 2004
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A lemma for cost attained
Hjorth, G · 2006
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The canopy graph and level statistics for random operators on trees
Aizenman, M · 2007
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Processes on unimodular random networks
Aldous, D.J · 2007
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A measurable-group-theoretic solution to von Neumann’s problem
Exponential tail bounds for loop-erased random walk in two dimensions
Barlow, M.T · 2010
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On the limit of large girth graph sequences
Elek, G · 2010
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Sofic equivalence relations
Elek, G · 2010
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Sparse graphs: metrics and random models
Bollobás, B · 2011
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Ergodic theory on stationary random graphs
Benjamini, I · 2012
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Large Networks and Graph Limits
Lovász, L · 2012
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Probability on Trees and Networks
Lyons, R · 2013
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Gaboriau, D · 2009
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Percolation in the hyperbolic plane
Benjamini, I
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Recurrence of distributional limits of finite planar graphs
Benjamini, I
Cited in the paper.