53 Publications (Page 1 of 3)
2022
Explicit universal minimal constants for polynomial growth of groups. Journal of Group Theory
2020
A stationary planar random graph with singular stationary dual: dyadic lattice graphsLyons, Russell⋅Lyons, Russell⋅White, Graham and White, GrahamProbability Theory and Related Fields, vol. 176, pp. 1011–1043.
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2013
Fixed price of groups and percolationLyons, RussErgodic Theory and Dynamical Systems, vol. 33, (no. 1), pp. 183-185, Feb 2013.
| Journal Article
2011
Indistinguishability of percolation clustersLyons, Russell and Schramm, Oded(pp. 701–728). Springer New York
-Book chapter-Lyons, Russell and Schramm, OdedIn Indistinguishability of percolation clusters. (pp. 701–728). Springer New York. 2011
Perfect matchings as IID factors on non-amenable groupsLyons, Russ and Nazarov, FedorEuropean Journal of Combinatorics, vol. 32, (no. 7), pp. 1115-1125, 2011.
| Journal Article
The Spread of Evidence-Poor Medicine via Flawed Social-Network AnalysisLyons, Russell(pp. 2). bepress
The Spread of Evidence-Poor Medicine via Flawed Social-Network AnalysisLyons, RussellStatistics, Politics, and Policy, vol. 2, pp. 2.
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2010
Identities and Inequalities for Tree EntropyLyons, RussCombinatorics, Probability & Computing, vol. 19, (no. 2), pp. 303-313, 2010.
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2009
A measurable-group-theoretic solution to von Neumann’s problemGaboriau, Damien and Lyons, Russell(pp. 533–540). Springer-Verlag
A measurable-group-theoretic solution to von Neumann’s problemGaboriau, Damien and Lyons, RussellInventiones mathematicae, vol. 177, pp. 533–540.
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2008
Growth of the Number of Spanning Trees of the ErdOs-REnyi Giant ComponentLyons, Russ⋅Peled, Ron and Schramm, OdedCombinatorics, Probability & Computing, vol. 17, (no. 5), pp. 711-726, 2008.
| Journal Article
2007
Processes on unimodular random networksAldous, David and Lyons, Russell(pp. 1454–1508)
Processes on unimodular random networksAldous, David and Lyons, RussellElectron. J. Probab, vol. 12, pp. 1454–1508.
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RECURRENCE OF RANDOM WALK TRACESBenjamini, Itai⋅Gurel Gurevich, Ori and Lyons, RussAnnals of Probability, vol. 35, (no. 2), pp. 732-738, Mar 2007.
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Asymptotic Enumeration of Spanning TreesLyons, RussCombinatorics, Probability & Computing, vol. 14, (no. 4), pp. 491-522, Jul 2005.
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Probability on trees and networksLyons, Russell and Peres, YuvalCambridge University Press, in preparation
2003
Determinantal probability measuresLyons, RussellPublications Mathématiques de l’Institut des Hautes Études Scientifiques, vol. 98, pp. 167–212.
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Determinantal probability measuresLyons, RussellPublications Mathématiques de l’Institut des Hautes Études Scientifiques, vol. 98, pp. 167–212.
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Determinantal probability measuresLyons, RussellPublications Mathématiques de l’Institut des Hautes Études Scientifiques, vol. 98, pp. 167–212.
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Determinantal probability measuresLyons, RussellPublications Mathématiques de l’Institut des Hautes Études Scientifiques, vol. 98, pp. 167–212.
| Journal Article