Mathematics of Multiscale Materials,
Springer 1999 (ed., with K. Golden, R. James, G. Milton, P. Sen).
IMA Volumes in
Mathematics and its Applications, vol. 99.
Percolation,
Second edition, Springer 1999.
Table of contents, preface, and two sample chapters.
Disorder in Physical Systems, 2001 (ed., with Dominic Welsh).
The complete electronic version of the Festschrift for John Hammersley,
originally published in 1990 by OUP.
Probability and Phase Transition, 2004. The complete
electronic Proceedings of a
NATO Advanced Study Institute held at the Isaac Newton Institute,
Cambridge, 1993,
listed here by gracious permission
of Springer.
Selected problems in probability theory
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Percolation critical probabilities of matching lattice-pairs
with Zhongyang Li Random Structures and Algorithms 65 (2024) 832--856
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Hyperbolic site percolation
with Zhongyang Li Random Structures and Algorithms 66 (2025)
arxiv,
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Brownian snails with removal: epidemics in diffusing populations
with Zhongyang Li Electronic Journal of Probability 27 (2022) article 78, 31 pp.
arxiv,
pdf,
EJP
Tom Liggett, some brief reflections
Celebratio Mathematica, Thomas Milton Liggett (2021)
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Harry Kesten (1931–2019), a personal and scientific tribute
with Greg Lawler Notices of the AMS 67 (2020), 822–831
arxiv,
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The lost boarding pass, and other practical problems
with David Stirzaker The Mathematical Gazette 105 (2021) 216–221
arxiv,
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Alignment percolation
with Nicholas Beaton and Mark Holmes Mathematical Physics, Analysis and Geometry 24 (2021) article 3
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Non-coupling from the past
with Mark Holmes In In and Out of Equilibrium 3.
Celebrating Vladas Sidoravicius Springer, 2021, 471–485
arxiv,
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Bounded entanglement entropy in the quantum Ising model
with Tobias Osborne and Petra Scudo Journal of Statistical Physics 178 (2020) 281–296
arxiv,
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Weighted self-avoiding walks
with Zhongyang Li Journal of Algebraic Combinatorics 52 (2020) 77--102
arxiv,
published pdf
On influence and compromise in two-tier voting systems
Mathematical Social Sciences 100 (2019) 35–45
arxiv,
pdf
A 700-seat no-loss composition for the 2019 European Parliament
with F. Pukelsheim,
V. Ramírez González,
W. Słomczyński,
K. Życzkowski arxiv,
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Degressive representation of Member States in the European Parliament
2019–2024
with Friedrich Pukelsheim Representation 54 (2018) 147–158
arxiv,
pdf
Self-avoiding walks and connective constants
with Zhongyang Li In Sojourns in Probability Theory and Statistical Physics, III Springer Proceedings in Mathematics & Statistics, vol. 300, 2019, pages 215–241, ed. V. Sidoravicius
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The composition of the European Parliament
with Friedrich Pukelsheim In The Composition of the European Parliament Policy Department for Citizens' Rights and Constitutional Affairs
PE 583.117, February 2017
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Cubic graphs and the golden mean
with Zhongyang Li Discrete Mathematics 343 (2020) paper 111638
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The 1-2 model
with Zhongyang Li In the Tradition of Ahlfors–Bers, VII Proceedings of the Sixth Ahlfors–Bers Colloquium, 2014
Contemporary Mathematics 696 (2017) 130–152
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Critical surface of the 1-2 model
with Zhongyang Li International Mathematics Research Notices 21 (2018) 6617–6672
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Connective constants and height functions of Cayley graphs
with Zhongyang Li Transactions of the American Mathematical Society 369 (2017) 5961–5980
arxiv,
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Counting self-avoiding walks
with Zhongyang Li Accepted in Tsinghua
Lectures in Mathematics, 2017
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Locality of connective constants
with Zhongyang Li Discrete Mathematics 341 (2018) 3483–3497
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The Potts and random-cluster models
in Handbook of the Tutte Polynomial and Related Topics CRC Press, ed. J. A. Ellis-Monaghan, I. Moffatt, 2022, 378–394
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Critical surface of the hexagonal polygon model
with Zhongyang Li Journal of Statistical Physics 163 (2016) 733–753
arxiv,
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Influence in product spaces
with Svante Janson and James Norris in Probability, Analysis and Number Theory Advances in Applied Probability 48A (2016) 145–152
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Bounds on connective constants of regular graphs
with Zhongyang Li Combinatorica 35 (2015) 279–294
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Criticality, universality, and isoradiality
Proceedings of 2014 International Congress of Mathematicians,
Seoul, vol IV, 25–48
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Extendable self-avoiding walks
with Alexander Holroyd and Yuval Peres Annales de l'Institut Henri Poincaré D: CPI 1 (2014) 61–75
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Percolation of finite clusters and infinite surfaces
with Alexander Holroyd and Gady Kozma Mathematical Proceedings of the Cambridge Philosophical Society
156 (2014) 263–279
arxiv,
pdf
Strict inequalities for connective constants of transitive graphs
with Zhongyang Li SIAM Journal of Discrete Mathematics 28 (2014) 1306–1333
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Bond percolation on isoradial graphs: criticality and universality
with Ioan Manolescu Probability Theory and Related Fields 159
(2014) 273–327
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Universality for bond percolation in two dimensions
with Ioan Manolescu Annals of Probability 41 (2013) 3261–3283
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Inhomogeneous bond percolation on square, triangular, and hexagonal lattices
with Ioan Manolescu Annals of Probability 41 (2013) 2990–3025
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Cluster detection in networks using percolation
with Ery Arias-Castro Bernoulli 19 (2013) 676–719
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Percolation since Saint-Flour
with Harry Kesten In Percolation Theory at Saint-Flour by Geoffrey Grimmett and Harry Kesten, Springer, 2012, ix–xxvii
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Stochastic geometry and statistical mechanics
Markov Processes and Related Fields 18 (2012) 67–70
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Geometry of Lipschitz percolation
with Alexander Holroyd Annales de l'Institut Henri Poincaré, Probabilités
et Statistiques 48 (2012) 309–326
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A power-weighted variant of the EU27 Cambridge Compromise
with Kai-Friederike Oelbermann and Friedrich Pukelsheim Mathematical Social Sciences 63 (2012) 136–140
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European apportionment via the Cambridge Compromise
Mathematical Social Sciences 63 (2012) 68–73
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Lattice embeddings in percolation
with Alexander Holroyd Annals of Probability 40 (2012) 146–161
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Three problems for the clairvoyant demon
in Probability and Mathematical Genetics, Papers in honour of Sir John Kingman eds: N. H. Bingham and C. M. Goldie, Cambridge University Press, 2010,
379–396
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Random graphs with forbidden vertex degrees
with Svante Janson Random Structures and Algorithms 37 (2010) 137–175
arxiv,
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Percolation of arbitrary words in one dimension
with Thomas Liggett and Thomas Richthammer Random Structures and Algorithms 37 (2010) 85–99
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The phase transition of the quantum Ising model is sharp
with Jakob Björnberg Journal of Statistical Physics 136 (2009) 231–273
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David George Kendall (1918–2007)
Journal of the Royal Statistical Society, Series A 172 (2009) 275–278
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Space–time percolation
in In and Out of Equilibrium 2 eds: V. Sidoravicius, M. E. Vares, vol. 60 of `Progress in Probability'
series, Birkhäuser, Boston, 2008, 305–320
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Entanglement in the quantum Ising model
with Tobias Osborne and Petra Scudo Journal of Statistical Physics 131 (2008) 305–339
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John Michael Hammersley (1920–2004)
with Dominic Welsh Biographical Memoirs of Fellows of the Royal Society 53 (2007) 163–183
Bulletin of the London
Mathematical Society 41 (2009) 1125–1143
arxiv,
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Draft entry for the
Oxford Dictionary of National Biography
Random-cluster representation of the Blume–Capel model
with Benjamin Graham Journal of Statistical Physics 25 (2006) 283–316
arxiv,
pdf,
remarks
Influence and sharp-threshold theorems for monotonic measures
with Benjamin Graham Annals of Probability 34 (2006) 1726–1745
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Uniqueness and multiplicity of infinite clusters
in
Dynamics and Stochastics, Festschrift in Honor of Michael Keane ed. D. Denteneer, F. den Hollander, E. Verbitskiy,
IMS Lecture Notes – Monograph Series volume 48, 2006,
24–36
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Branching processes, and random-cluster measures on trees
with Svante Janson Journal of the European Mathematical Society 7 (2005) 253–281
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Weak limits of quantum random walks
with Svante Janson and Petra Scudo Physical Review E 69 (2004) Paper 026119
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Negative association in uniform forests and connected graphs
with Stephan Winkler Random Structures and Algorithms 24 (2004) 444–460
arxiv,
pdf
Stochastic apportionment
American Mathematical Monthly 111 (2004) 299–307
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On smallest triangles
with Svante Janson Random Structures and Algorithms 23 (2003) 206–223
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The random-cluster model
in
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ed. H. Kesten,
Encyclopedia of Mathematical Sciences, vol. 110,
Springer, 2003, 73–123
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Rigidity of the interface in percolation and random-cluster models
with Guy Gielis Journal of Statistical Physics 109 (2002) 1–37
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Directed percolation and random walk
with Philipp Hiemer in
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ed. V. Sidoravicius,
Birkhäuser, 2002, 273–297
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Random electrical networks on complete graphs II: Proofs
with Harry Kesten 1983, 51 pages
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Diffusion,
finance, and universality
Asymptopia, June 2001
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Infinite paths in randomly oriented lattices
Random Structures
and Algorithms 18 (2001) 257–266
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Conformal invariance, droplets,
and entanglement
in
State of the Art in Probability and Statistics,
Festschrift for Willem R. van Zwet,
ed. M. de Gunst,
C. Klaassen, A. van der Vaart, Institute of Mathematical
Statistics, Lecture Notes volume 36, 2001, 310–323
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Entanglement in percolation
with Alexander Holroyd Proceedings of the London Mathematical Society 81 (2000)
485–512
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Percolation
in Development of Mathematics 1950–2000,
ed. J.-P. Pier, Birkhäuser, 2000, 547-576
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Stochastic pin-ball
in Random Walks and Discrete Potential
Theory,
ed. M. Picardello and W. Woess,
Cambridge University Press, 1999, 205–213
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A central limit
theorem for random walks in random labyrinths
with Carol Bezuidenhout Annales de l'Institut Henri Poincaré, Probabilités et
Statistiques 35 (1999) 631–683
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Inequalities and
entanglements for percolation and random-cluster models,
in Perplexing Problems in
Probability, Festschrift in Honor of Harry Kesten,
ed. M. Bramson and R. Durrett, 1999, 91–106, Birkhäuser
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Critical probabilities
for site and bond percolation models
with Alan Stacey Annals of Probability 26 (1998) 1788–1812
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What a coincidence!
+pass issue 4, January 1998
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Percolation
and minimal spanning trees
with Carol Bezuidenhout and Armin Löffler Journal of Statistical Physics 92 (1998) 1–34
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Dependent random graphs
and spatial epidemics
with Rob
van den Berg and Rinaldo Schinazi Annals of Applied Probability 8 (1998) 317–336
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Percolation and disordered systems,
in Lectures in Probability Theory and Statistics,
Ecole d'Ete de Probabilites de Saint–Flour XXVI-1996,
Springer Lecture Notes in Maths no. 1665, ed. P. Bernard, published 1997,
pages 153–300
pdf Here is a link to errata.
If you have trouble printing pages 86–87, or want a version which
prints two pages on one side, you might prefer to download
this version
pdf 2012 corrected reprint
Decay of correlations in subcritical
Potts and random-cluster models,
with Marcelo Piza Communications in Mathematical Physics 189 (1997) 465–480
pdf
Large deviations
in the random sieve,
Mathematical Proceedings of the Cambridge Philosophical Society
121 (1997) 519–530
pdf
Random walks
in random labyrinths
with Misha Menshikov
and Stas Volkov Markov Processes and Related
Fields 2 (1996) 69–86
pdf
The random-cluster model on the complete graph
with Béla Bollobás and Svante Janson
Probability Theory and Related Fields 104 (1996) 283–317
pdf
Comparison and disjoint-occurrence inequalities for random-cluster models
Journal of Statistical Physics 78 (1995) 1311–1324
pdf
The stochastic random-cluster process and the uniqueness
of random-cluster measures
Annals of Probability 23 (1995) 1461–1510
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The random-cluster model
in Probability, Statistics and
Optimization: A Tribute to Peter Whittle ed. F. P. Kelly, 1994, 49–63,
Wiley
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Potts models and random-cluster models with many-body interactions
Journal of Statistical Physics 75 (1994) 67–121
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Differential inequalities for Potts and random-cluster processes
in Cellular Automata and Cooperative Systems,
ed. N. Boccara et al.,
1993, 227–236, Kluwer
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Strict inequality for
critical values of Potts models and random-cluster processes
with Carol Bezuidenhout and Harry Kesten Communications in Mathematical Physics 158 (1993) 1–16
pdf
Percolation in ∞ + 1 dimensions
with Chuck Newman in
Disorder in Physical Systems,
(festschrift for John Hammersley),
ed. Geoffrey Grimmett and Dominic Welsh, 1990/2001, 167–190,
Oxford University Press
pdf
Bonus volumes
Percolation Theory for Mathematicians, by
Harry Kesten, 1982
pdf
Introspective Classification for Robot
Perception and Decision Making, by
Hugo Grimmett DPhil Thesis, University of Oxford, 2016
pdf
