DISTINGUISHED NOMINATION
Russell Lyons - MathematicsSELECTED PUBLICATIONS (MEDIUM LIST)
HARMONIC ANALYSIS OF MEASURES
- Fourier-Stieltjes coefficients and asymptotic distribution modulo 1, Ann. Math. 2nd Ser., 122, No. 1 (1985), 155--170.
- The measure of non-normal sets, Invent. Math. 83 (1986), 605--616.
ERGODIC THEORY
- On measures simultaneously 2- and 3-invariant, Israel J. Math. 61 (1988), 219--224.
- (with Damien Gaboriau) A measurable-group-theoretic solution to von Neumann's problem, Invent. Math. 177, no. 3 (2009), 533--540.
- (with Fedor Nazarov) Perfect matchings as IID factors on non-amenable groups, Europ. J. Combin. 32 (2011), 1115--1125.
- (with Omer Angel and Alexander S. Kechris) Random orderings and unique ergodicity of automorphism groups, J. Europ. Math. Soc. 16 (2014), 2059--2095.
PROBABILITY ON TREES
- Random walks and percolation on trees, Ann. Probab. 18, No. 3 (1990), 931--958.
- Random walks, capacity, and percolation on trees, Ann. Probab. 20 (1992), 2043--2088.
GALTON-WATSON TREES
- (with Robin Pemantle and Yuval Peres) Ergodic theory on Galton-Watson trees: speed of random walk and dimension of harmonic measure, Ergodic Theory Dynamical Systems 15 (1995), 593--619.
- (with Robin Pemantle and Yuval Peres) Conceptual proofs of L log L criteria for mean behavior of branching processes, Ann. Probab. 23 (1995), 1125--1138.
- (with Robin Pemantle and Yuval Peres) Biased random walks on Galton-Watson trees, Probab. Theory Relat. Fields 106 (1996), 249--264.
RANDOM WALKS ON GROUPS
- (with Robin Pemantle and Yuval Peres) Random walks on the Lamplighter Group, Ann. Probab. 24 (1996), 1993--2006.
- (with Yuval Peres) Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture, Submitted to Ann. Math.
PERCOLATION ON GRAPHS
- (with Itai Benjamini, Yuval Peres, and Oded Schramm) Group-invariant percolation on graphs, Geom. Funct. Anal. 9 (1999), 29--66.
- (with Oded Schramm) Indistinguishability of percolation clusters, Ann. Probab. 27 (1999), 1809--1836.
- (with Itai Benjamini, Yuval Peres, and Oded Schramm) Uniform spanning forests, Ann. Probab. 29 (2001), 1--65.
- (with David Aldous) Processes on unimodular random networks, Electr. J. Probab. 12, Paper 54 (2007), 1454--1508.
DETERMINANTAL PROBABILITY MEASURES
- (with Jeffrey E. Steif) Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination, Duke Math. J. 120, no. 3 (2003), 515--575.
- Determinantal probability measures, Publ. Math. Inst. Hautes Études Sci. 98 (2003), 167--212.
- Determinantal probability: basic properties and conjectures, Proc. International Congress of Mathematicians 2014, Seoul, Korea, vol. IV, 137--161.
ENUMERATION OF SPANNING TREES
- Asymptotic enumeration of spanning trees, Combin. Probab. Comput. 14 (2005), 491--522.
- Identities and inequalities for tree entropy, Combin. Probab. Comput. 19, no. 2 (2010), 303--313.
STATISTICS
- The spread of evidence-poor medicine via flawed social-network analysis, Stat., Politics, Policy 2, 1 (2011), Article 2. DOI: 10.2202/2151-7509.1024
- Distance covariance in metric spaces, Ann. Probab. 41, no. 5 (2013), 3284--3305.
RESEARCH MONOGRAPH/GRADUATE TEXTBOOK - Probability on Trees and Networks
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