H. Duminil-Copin

发表

Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with 1≤q≤4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt}

H. Duminil-Copin, V. Sidoravicius, V. Tassion, 2016, Communications in Mathematical Physics.

The connective constant of the honeycomb lattice equals $\sqrt{2+\sqrt2}$

H. Duminil-Copin, S. Smirnov, 2010, 1007.0575.

The sharp threshold for bootstrap percolation in all dimensions

H. Duminil-Copin, B. Bollob'as, J. Balogh, 2010, 1010.3326.

Supercritical self-avoiding walks are space-filling

H. Duminil-Copin, G. Kozma, Ariel Yadin, 2011, 1110.3074.

Introduction to Bernoulli percolation

H. Duminil-Copin, Hugo Duminil-Copin, 2018 .

Random Currents and Continuity of Ising Model’s Spontaneous Magnetization

Vladas Sidoravicius, Michael Aizenman, Hugo Duminil-Copin, 2013, 1311.1937.

Convergence of Ising interfaces to Schramm's SLE curves

H. Duminil-Copin, Clément Hongler, S. Smirnov, 2013, 1312.0533.

Lectures on the Ising and Potts Models on the Hypercubic Lattice

H. Duminil-Copin, 2017, 1707.00520.

Conformal invariance of lattice models

H. Duminil-Copin, S. Smirnov, 2011, 1109.1549.

The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1

H. Duminil-Copin, V. Beffara, 2010, Probability Theory and Related Fields.

Subcritical phase of $d$-dimensional Poisson–Boolean percolation and its vacant set

H. Duminil-Copin, V. Tassion, Aran Raoufi, 2018, 1805.00695.

Lectures on self-avoiding walks

H. Duminil-Copin, G. Slade, J. Goodman, 2012, 1206.2092.

Critical point and duality in planar lattice models

H. Duminil-Copin, V. Beara, 2014 .

Higher order corrections for anisotropic bootstrap percolation

H. Duminil-Copin, A. V. Enter, Tim Hulshof, 2016, 1611.03294.

Equality of critical parameters for percolation of Gaussian free field level sets

H. Duminil-Copin, Subhajit Goswami, Pierre-François Rodríguez, 2020, Duke Mathematical Journal.

The Near-Critical Planar FK-Ising Model

H. Duminil-Copin, G. Pete, C. Garban, 2011, 1111.0144.

Upper Bounds on the Percolation Correlation Length

H. Duminil-Copin, V. Tassion, G. Kozma, 2019, Progress in Probability.

The sharp threshold for the Duarte model

H. Duminil-Copin, B. Bollob'as, Paul Smith, 2016, 1603.05237.

Brochette percolation

H. Duminil-Copin, V. Sidoravicius, G. Kozma, 2016, 1608.04963.

Preprint Reference Seven-dimensional forest fires

H. Duminil-Copin, G. Kozma, Daniel Ahlberg, 2017 .

Seven-dimensional forest fires

H. Duminil-Copin, V. Sidoravicius, G. Kozma, 2013, 1302.6872.

Planar percolation with a glimpse of Schramm–Loewner evolution

H. Duminil-Copin, V. Beffara, 2011, 1107.0158.

Delocalization of the height function of the six-vertex model

H. Duminil-Copin, I. Manolescu, Alex Karrila, 2020, 2012.13750.

Phase transition in random-cluster and O(n)-models

H. Duminil-Copin, 2011 .

100 Years of the (Critical) Ising Model on the Hypercubic Lattice

H. Duminil-Copin, 2022, 2208.00864.

Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension $d \ge 3$

H. Duminil-Copin, A. Rivera, Hugo Vanneuville, 2021, 2108.08008.

Exponential decay of connection probabilities for subcritical Voronoi percolation in R d

H. Duminil-Copin, V. Tassion, Aran Raoufi, 2018 .

Exponential decay of connection probabilities for subcritical Voronoi percolation in $$\mathbb {R}^d$$Rd

H. Duminil-Copin, V. Tassion, Aran Raoufi, 2017, 1705.07978.

Planar random-cluster model: scaling relations

H. Duminil-Copin, I. Manolescu, 2020, Forum of Mathematics, Pi.

Emergent planarity in two-dimensional Ising models with finite-range Interactions

H. Duminil-Copin, V. Tassion, M. Aizenman, 2019, Inventiones mathematicae.

A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model

H. Duminil-Copin, V. Tassion, 2015, Communications in Mathematical Physics.

The box-crossing property for critical two-dimensional oriented percolation

H. Duminil-Copin, V. Tassion, A. Teixeira, 2017, Probability Theory and Related Fields.

The phase transitions of the planar random-cluster and Potts models with q ≥ 1 are sharp

H. Duminil-Copin, I. Manolescu, 2016 .

The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1

H. Duminil-Copin, V. Beffara, 2011, Probability Theory and Related Fields.

The Near-Critical Planar FK-Ising Model

H. Duminil-Copin, G. Pete, C. Garban, 2014, Communications in Mathematical Physics.

Random Currents and Continuity of Ising Model’s Spontaneous Magnetization

H. Duminil-Copin, V. Sidoravicius, M. Aizenman, 2014, Communications in Mathematical Physics.

On the Gibbs states of the noncritical Potts model on $$\mathbb Z ^2$$

H. Duminil-Copin, D. Ioffe, Y. Velenik, 2012, 1205.4659.

Sharp threshold phenomena in statistical physics

H. Duminil-Copin, 2019, Japanese Journal of Mathematics.

On the Six-Vertex Model’s Free Energy

H. Duminil-Copin, K. Kozlowski, I. Manolescu, 2020, Communications in Mathematical Physics.

Containing internal diffusion limited aggregation

Amir Yehudayoff, Ariel Yadin, Hugo Duminil-Copin, 2011, 1111.0486.

Delocalization of the height function of the six-vertex model

H. Duminil-Copin, I. Manolescu, Alex Karrila, 2020, 2012.13750.

Brochette percolation

H. Duminil-Copin, V. Sidoravicius, G. Kozma, 2018, Israel Journal of Mathematics.

Self-Avoiding Walk is Sub-Ballistic

H. Duminil-Copin, A. Hammond, 2013, Communications in Mathematical Physics.

Long-range order for critical Book-Ising and Book-percolation

H. Duminil-Copin, V. Tassion, C. Garban, 2020, 2011.04644.

Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature

H. Duminil-Copin, Aran Raoufi, Subhajit Goswami, 2018, Communications in mathematical physics.

A Note on Schramm’s Locality Conjecture for Random-Cluster Models

H. Duminil-Copin, V. Tassion, 2017, Sojourns in Probability Theory and Statistical Physics - II.

A quantitative Burton-Keane estimate under strong FKG condition

H. Duminil-Copin, D. Ioffe, Y. Velenik, 2014, 1409.5199.

On the Gibbs states of the noncritical Potts model on Z 2

H. Duminil-Copin, D. Ioffe, Y. Velenik, 2013 .

Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point

H. Duminil-Copin, R. Peled, Yinon Spinka, 2017, Journal of the European Mathematical Society.

The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is 1+2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemarg

H. Duminil-Copin, A. Guttmann, M. Bousquet-Mélou, 2014, Communications in Mathematical Physics.

The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is $${1+\sqrt{2}}$$1+2

H. Duminil-Copin, A. Guttmann, J. Gier, 2011, 1109.0358.

Emergent planarity in two-dimensional Ising models with finite-range Interactions

Michael Aizenman, Vincent Tassion, Simone Warzel, 2018, Inventiones mathematicae.

On the double random current nesting field

H. Duminil-Copin, M. Lis, 2017, Probability Theory and Related Fields.

A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model

H. Duminil-Copin, V. Tassion, 2015, Communications in Mathematical Physics.

Marginal triviality of the scaling limits of critical 4D Ising and 𝜑44 models

H. Duminil-Copin, M. Aizenman, 2019, 1912.07973.

The box-crossing property for critical two-dimensional oriented percolation

H. Duminil-Copin, V. Tassion, A. Teixeira, 2016, 1610.10018.

Dimerization and Néel Order in Different Quantum Spin Chains Through a Shared Loop Representation

H. Duminil-Copin, M. Aizenman, S. Warzel, 2020, Annales Henri Poincaré.

On the critical parameters of the q ≤ 4 random-cluster model on isoradial graphs

H. Duminil-Copin, S. Smirnov, V. Beffara, 2015, 1507.01356.

Exponential Decay of Loop Lengths in the Loop O(n) Model with Large n

W. Samotij, H. Duminil-Copin, R. Peled, 2016, Communications in Mathematical Physics.

Exponential Decay of Loop Lengths in the Loop O(n) Model with Large n

W. Samotij, H. Duminil-Copin, R. Peled, 2014, 1412.8326.

Divergence of the correlation length for critical planar FK percolation with 1 ⩽ q ⩽ 4 via parafermionic observables

H. Duminil-Copin, 2012, 1208.3787.

Sharp phase transition for the random-cluster and Potts models via decision trees

Vincent Tassion, Aran Raoufi, Hugo Duminil-Copin, 2017, Annals of Mathematics.

Discontinuity of the phase transition for the planar random-cluster and Potts models with $q>4$

Ioan Manolescu, Vincent Tassion, Matan Harel, 2016, 1611.09877.

Conformal invariance of double random currents II: tightness and properties in the discrete

Marcin Lis, Wei Qian, Hugo Duminil-Copin, 2021, 2107.12880.

Planar random-cluster model: fractal properties of the critical phase

Ioan Manolescu, Vincent Tassion, Hugo Duminil-Copin, 2020, Probability Theory and Related Fields.

Rotational invariance in critical planar lattice models

H. Duminil-Copin, K. Kozlowski, I. Manolescu, 2020, 2012.11672.

Long-range models in 1D revisited.

H. Duminil-Copin, V. Tassion, C. Garban, 2020, 2011.04642.

Renormalization of Crossing Probabilities in the Planar Random-Cluster Model

H. Duminil-Copin, V. Tassion, 2019, Moscow Mathematical Journal.

Sharp threshold phenomena in statistical physics

H. Duminil-Copin, 2018, Japanese Journal of Mathematics.

SIXTY YEARS OF PERCOLATION

H. Duminil-Copin, 2017, Proceedings of the International Congress of Mathematicians (ICM 2018).

Universality for the random-cluster model on isoradial graphs

H. Duminil-Copin, I. Manolescu, Jhih-Huang Li, 2017, 1711.02338.

Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with $${1 \le q \le 4}$$1≤q≤4

Vladas Sidoravicius, Vincent Tassion, Hugo Duminil-Copin, 2015, 1505.04159.

Random currents expansion of the Ising model

H. Duminil-Copin, 2016, 1607.06933.

A new computation of the critical point for the planar random-cluster model with $q\ge1$

H. Duminil-Copin, V. Tassion, Aran Raoufi, 2016, 1604.03702.

Order/disorder phase transitions: the example of the Potts model

H. Duminil-Copin, 2015 .

Crossing probabilities in topological rectangles for the critical planar FK-Ising model

H. Duminil-Copin, Clément Hongler, Dmitry Chelkak, 2013, 1312.7785.

Smirnov's fermionic observable away from criticality

H. Duminil-Copin, V. Beffara, 2010, 1010.0526.

Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model

Pierre Nolin, Hugo Duminil-Copin, H. Duminil-Copin, 2011 .

The critical temperature of the Ising model on the square lattice, an easy way

H. Duminil-Copin, V. Beffara, 2010 .

Connection probabilities and RSW-type bounds for the FK Ising model

H. Duminil-Copin, P. Nolin, C. Hongler, 2009, 0912.4253.

Logarithmic Variance for the Height Function of Square-Ice

H. Duminil-Copin, G. Ray, Matan Harel, 2019, Communications in Mathematical Physics.

The critical temperature for the Ising model on planar doubly periodic graphs

H. Duminil-Copin, David Cimasoni, 2012, 1209.0951.

Self-Avoiding Walk is Sub-Ballistic

H. Duminil-Copin, A. Hammond, 2012, 1205.0401.

Conformal invariance of double random currents and the XOR-Ising model II: tightness and properties in the discrete

H. Duminil-Copin, M. Lis, Wei Qian, 2021, 2107.12880.

Conformal invariance of double random currents I: identification of the limit

Marcin Lis, Wei Qian, Hugo Duminil-Copin, 2021, 2107.12985.

Correction to: A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model

Vincent Tassion, Hugo Duminil-Copin, H. Duminil-Copin, 2018 .

A new proof of the sharpness of the phase transition for Bernoulli percolation on $\mathbb Z^d$

H. Duminil-Copin, V. Tassion, 2015, 1502.03051.

Internal diffusion-limited aggregation with uniform starting points

Gady Kozma, Itai Benjamini, Hugo Duminil-Copin, 2017, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques.

Long-range models in 1D revisited.

H. Duminil-Copin, V. Tassion, C. Garban, 2020, 2011.04642.

Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3

H. Duminil-Copin, A. Rivera, Hugo Vanneuville, 2021, The Annals of Probability.

The Bethe ansatz for the six-vertex and XXZ models: An exposition

H. Duminil-Copin, V. Tassion, Matan Harel, 2016, 1611.09909.

Disorder, entropy and harmonic functions

Gady Kozma, Itai Benjamini, Ariel Yadin, 2011, 1111.4853.

Existence of phase transition for percolation using the Gaussian free field

H. Duminil-Copin, Ariel Yadin, Aran Raoufi, 2018, 1806.07733.

Minimal growth harmonic functions on lamplighter groups

I. Benjamini, H. Duminil-Copin, G. Kozma, 2016, 1607.00753.

A new proof of the sharpness of the phase transition for Bernoulli percolation on $\mathbb Z^d$

H. Duminil-Copin, V. Tassion, Hugo Duminil, 2015, 1502.03051.

Sharp metastability threshold for an anisotropic bootstrap percolation model

H. Duminil-Copin, H. Duminil-Copin, A. C. D. Van Enter, 2010, 1010.4691.

A characterization of strong percolation via disconnection

H. Duminil-Copin, A. Teixeira, Subhajit Goswami, 2023, 2308.07920.

The sharp threshold for bootstrap percolation in all dimensions

H. Duminil-Copin, B. Bollob'as, J. Balogh, 2010, 1010.3326.

The phase transitions of the planar random-cluster and Potts models with q larger than 1 are sharp

H. Duminil-Copin, I. Manolescu, 2014 .

Parafermionic observables and their applications

H. Duminil-Copin, 2015 .

Limit of the Wulff Crystal when approaching criticality for site percolation on the triangular lattic

H. Duminil-Copin, 2013, 1305.6034.

Law of the Iterated Logarithm for the random walk on the infinite percolation cluster

H. Duminil-Copin, 2008, 0809.4380.