Hugo Duminil-Copin

Hugo Duminil-Copin's AcademicInfluence.com Rankings

Hugo Duminil-Copin

Mathematics

#1196

World Rank

#2003

Historical Rank

Probability Theory

#65

World Rank

#87

Historical Rank

Measure Theory

#3707

World Rank

#4372

Historical Rank

mathematics Degrees

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Mathematics

Hugo Duminil-Copin's Degrees

PhD Mathematics Paris-Saclay University

Why Is Hugo Duminil-Copin Influential?

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According to Wikipedia, Hugo Duminil-Copin is a French mathematician specializing in probability theory. He was awarded the Fields Medal in 2022. Biography The son of a middle school sports teacher and a former female dancer who became a primary school teacher, Duminil-Copin grew up in the outer suburbs of Paris, where he played a lot of sports as a child, and initially considered attending a sports-oriented high school to pursue his interest in handball. He decided to attend a school focused on mathematics and science, and enrolled at the Lycée Louis-le-Grand in Paris, then at the École normale supérieure and the University Paris-Sud. He decided to focus on math instead of physics, because he found the rigour of mathematical proof more satisfying, but developed an interest in percolation theory, which is used in mathematical physics to address issues in statistical mechanics. In 2008, he moved to the University of Geneva to write a PhD thesis under Stanislav Smirnov. Duminil-Copin and Smirnov used percolation theory and the vertices and edges connecting them in a lattice to model fluid flow and with it phase transitions. The pair investigated the number of self-avoiding walks that were possible in hexagonal lattices, connecting combinatorics to percolation theory. This was published in the Annals of Mathematics in 2012, the same year in which Duminil-Copil was awarded his PhD at the age of 27.

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Hugo Duminil-Copin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1 (2010) (199)
Convergence of Ising interfaces to Schramm's SLE curves (2013) (181)
The sharp threshold for bootstrap percolation in all dimensions (2010) (178)
A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model (2015) (157)
The connective constant of the honeycomb lattice equals $\sqrt{2+\sqrt2}$ (2010) (144)
Sharp phase transition for the random-cluster and Potts models via decision trees (2017) (136)
Random Currents and Continuity of Ising Model’s Spontaneous Magnetization (2013) (109)
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} (2016) (102)
Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model (2011) (97)
Conformal invariance of lattice models (2011) (90)
Lectures on self-avoiding walks (2012) (82)
Discontinuity of the phase transition for the planar random-cluster and Potts models with $q>4$ (2016) (78)
Crossing probabilities in topological rectangles for the critical planar FK-Ising model (2013) (69)
Disorder, entropy and harmonic functions (2011) (66)
Lectures on the Ising and Potts Models on the Hypercubic Lattice (2017) (64)
Continuity of the Phase Transition for Planar Random-Cluster and Potts Models with $${1 \le q \le 4}$$1≤q≤4 (2015) (63)
Marginal triviality of the scaling limits of critical 4D Ising and 𝜑44 models (2019) (59)
The critical temperature for the Ising model on planar doubly periodic graphs (2012) (49)
Equality of critical parameters for percolation of Gaussian free field level sets (2020) (48)
Universality for two‐dimensional critical cellular automata (2014) (47)
Subcritical phase of $d$-dimensional Poisson–Boolean percolation and its vacant set (2018) (47)
Exponential decay of connection probabilities for subcritical Voronoi percolation in R d (2018) (43)
Macroscopic loops in the loop $O(n)$ model at Nienhuis' critical point (2017) (42)
Smirnov's fermionic observable away from criticality (2010) (41)
Sharp metastability threshold for an anisotropic bootstrap percolation model (2010) (37)
Existence of phase transition for percolation using the Gaussian free field (2018) (37)
Self-Avoiding Walk is Sub-Ballistic (2012) (37)
Exponential Decay of Loop Lengths in the Loop O(n) Model with Large n (2014) (34)
The Critical Fugacity for Surface Adsorption of Self-Avoiding Walks on the Honeycomb Lattice is $${1+\sqrt{2}}$$1+2 (2011) (33)
A new proof of the sharpness of the phase transition for Bernoulli percolation on $\mathbb Z^d$ (2015) (31)
The Near-Critical Planar FK-Ising Model (2011) (30)
Universality for the random-cluster model on isoradial graphs (2017) (29)
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions (2014) (29)
Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature (2018) (27)
A new computation of the critical point for the planar random-cluster model with $q\ge1$ (2016) (27)
Random currents expansion of the Ising model (2016) (27)
Connection probabilities and RSW-type bounds for the FK Ising model (2009) (25)
Planar percolation with a glimpse of Schramm–Loewner evolution (2011) (25)
Logarithmic Variance for the Height Function of Square-Ice (2019) (25)
Emergent planarity in two-dimensional Ising models with finite-range Interactions (2018) (25)
Supercritical self-avoiding walks are space-filling (2011) (24)
The sharp threshold for the Duarte model (2016) (23)
The Bethe ansatz for the six-vertex and XXZ models: An exposition (2016) (21)
SIXTY YEARS OF PERCOLATION (2017) (20)
Planar random-cluster model: fractal properties of the critical phase (2020) (20)
The phase transitions of the planar random-cluster and Potts models with $$q \ge 1$$q≥1 are sharp (2014) (20)
The self-dual point of the two-dimensional random-cluster model is critical for q ≥ 1 (2011) (20)
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 (2014) (19)
On the critical parameters of the q ≤ 4 random-cluster model on isoradial graphs (2015) (19)
On the Gibbs states of the noncritical Potts model on Z 2 (2013) (19)
Delocalization of the height function of the six-vertex model (2020) (18)
Exponential decay of connection probabilities for subcritical Voronoi percolation in $$\mathbb {R}^d$$Rd (2017) (17)
Seven-dimensional forest fires (2013) (17)
Containing internal diffusion limited aggregation (2011) (16)
Higher order corrections for anisotropic bootstrap percolation (2016) (16)
Planar random-cluster model: scaling relations (2020) (15)
Renormalization of Crossing Probabilities in the Planar Random-Cluster Model (2019) (14)
On the double random current nesting field (2017) (13)
Rotational invariance in critical planar lattice models (2020) (12)
Divergence of the correlation length for critical planar FK percolation with 1 ⩽ q ⩽ 4 via parafermionic observables (2012) (11)
Introduction to Bernoulli percolation (2018) (11)
ON THE PROBABILITY THAT SELF-AVOIDING WALK ENDS AT A GIVEN POINT (2013) (11)
Long-range models in 1D revisited. (2020) (10)
Dimerization and Néel Order in Different Quantum Spin Chains Through a Shared Loop Representation (2020) (10)
Sharp threshold phenomena in statistical physics (2018) (10)
Parafermionic observables and their applications (2015) (10)
On the Gibbs states of the noncritical Potts model on $$\mathbb Z ^2$$ (2012) (10)
The box-crossing property for critical two-dimensional oriented percolation (2016) (10)
Minimal growth harmonic functions on lamplighter groups (2016) (9)
Limit of the Wulff Crystal when approaching criticality for site percolation on the triangular lattic (2013) (9)
Order/disorder phase transitions: the example of the Potts model (2015) (8)
On the number of maximal paths in directed last-passage percolation (2018) (8)
Finite volume Bootstrap Percolation with balanced threshold rules on Z 2 (2012) (8)
The phase transitions of the planar random-cluster and Potts models with q larger than 1 are sharp (2014) (8)
Upper Bounds on the Percolation Correlation Length (2019) (8)
Internal diffusion-limited aggregation with uniform starting points (2017) (8)
Brochette percolation (2016) (7)
Bridge Decomposition of Restriction Measures (2009) (7)
Critical point and duality in planar lattice models (2014) (6)
On the Six-Vertex Model’s Free Energy (2020) (6)
100 Years of the (Critical) Ising Model on the Hypercubic Lattice (2022) (6)
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3 (2021) (5)
A Note on Schramm’s Locality Conjecture for Random-Cluster Models (2017) (5)
Law of the Iterated Logarithm for the random walk on the infinite percolation cluster (2008) (5)
Bounding the number of self-avoiding walks: Hammersley–Welsh with polygon insertion (2018) (5)
Correction to: A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model (2018) (4)
The critical temperature of the Ising model on the square lattice, an easy way (2010) (4)
The phase transitions of the planar random-cluster and Potts models with q ≥ 1 are sharp (2016) (3)
Phase transition in random-cluster and O(n)-models (2011) (3)
Near critical scaling relations for planar Bernoulli percolation without differential inequalities (2021) (3)
Long-range order for critical Book-Ising and Book-percolation (2020) (3)
A quantitative Burton-Keane estimate under strong FKG condition (2014) (2)
Conformal invariance of double random currents II: tightness and properties in the discrete (2021) (2)
Conformal invariance of double random currents I: identification of the limit (2021) (2)
Exponential Decay of Loop Lengths in the Loop O(n) Model with Large n (2016) (2)
A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model (2015) (1)
Emergent planarity in two-dimensional Ising models with finite-range Interactions (2019) (1)
Harry Kesten (1931–2019) (2021) (0)
Preprint Reference Seven-dimensional forest fires (2017) (0)
Scientific project : The Ising Model in three and four dimensions (2013) (0)
Conformal invariance of double random currents and the XOR-Ising model II: tightness and properties in the discrete (2021) (0)
The box-crossing property for critical two-dimensional oriented percolation (2017) (0)
About the slab percolation threshold for the Potts model in dimension $d\ge4$ (2017) (0)
Self-Avoiding Walk is Sub-Ballistic (2013) (0)
On the double random current nesting field (2019) (0)
Correction to: A New Proof of the Sharpness of the Phase Transition for Bernoulli Percolation and the Ising Model (2018) (0)
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules (2023) (0)
Sharp threshold phenomena in statistical physics (2019) (0)
The truncated correlations of the Ising model in any dimension decay exponentially fast at all but the critical temperature (2015) (0)
Exponential Decay of Truncated Correlations for the Ising Model in any Dimension for all but the Critical Temperature (2019) (0)
On the Gibbs states of the noncritical Potts model on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb Z ^2$$\e (2013) (0)
The Near-Critical Planar FK-Ising Model (2014) (0)
Random Currents and Continuity of Ising Model’s Spontaneous Magnetization (2014) (0)
Introducing PMP (2020) (0)
PR ] 1 7 A ug 2 01 6 Brochette percolation (0)
Higher order corrections for anisotropic bootstrap percolation (2017) (0)
Brochette percolation (2018) (0)

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