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Author ID: cerf.raphael Recent zbMATH articles by "Cerf, Raphaël"
Published as: Cerf, Raphaël; Cerf, R.
Homepage: https://www.math.u-psud.fr/~cerf/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr
Awards: EMS Prize (2000)
Documents Indexed: 70 Publications since 1994, including 5 Books and 7 Additional arXiv Preprints
Co-Authors: 23 Co-Authors with 48 Joint Publications
583 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 569 times in 357 Documents Cited by Year
The threshold regime of finite volume bootstrap percolation. Zbl 1075.82010
Cerf, R.; Manzo, F.
57
2002
Finite size scaling in three-dimensional bootstrap percolation. Zbl 0960.60088
Cerf, Raphaël; Cirillo, Emilio N. M.
56
1999
The low-temperature expansion of the Wulff crystal in the 3D Ising model. Zbl 1013.82010
Cerf, Raphaël; Kenyon, Richard
43
2001
The Wulff crystal in Ising and percolation models. École d’Été de Probabilités de Saint-Flour XXXIV – 2004. Zbl 1103.82010
Cerf, Raphaël
38
2006
Large deviations for three dimensional supercritical percolation. Zbl 0962.60002
Cerf, Raphaël
37
2000
On the Wulff crystal in the Ising model. Zbl 1034.82006
Cerf, Raphaël; Pisztora, Ágoston
35
2000
The exit path of a Markov chain with rare transitions. Zbl 0869.60063
Catoni, Olivier; Cerf, Raphaël
26
1996
The three dimensional polyominoes of minimal area. Zbl 0885.05056
Alonso, Laurent; Cerf, Raphaël
26
1996
Metastability of the three dimensional Ising model on a torus at very low temperatures. Zbl 0888.60057
Ben Arous, Gérard; Cerf, Raphaël
26
1996
Asymptotic convergence of genetic algorithms. Zbl 0911.60018
Cerf, Raphaël
16
1998
Nucleation and growth for the Ising model in \(d\) dimensions at very low temperatures. Zbl 1286.60091
Cerf, Raphaël; Manzo, Francesco
16
2013
Lower large deviations for the maximal flow through a domain of \({\mathbb{R}^d}\) in first passage percolation. Zbl 1230.60101
Cerf, Raphaël; Théret, Marie
12
2011
A lower bound on the two-arms exponent for critical percolation on the lattice. Zbl 1356.60163
Cerf, Raphaël
12
2015
Phase coexistence in Ising, Potts and percolation models. Zbl 1006.60094
Cerf, Raphaël; Pisztora, Ágoston
11
2001
Law of large numbers for the maximal flow through a domain of \(\mathbb R^d\) in first passage percolation. Zbl 1228.60107
Cerf, Raphaël; Théret, Marie
10
2011
The dynamics of mutation-selection algorithms with large population sizes. Zbl 0861.60038
Cerf, Raphaël
10
1996
Weak shape theorem in first passage percolation with infinite passage times. Zbl 1350.60100
Cerf, Raphaël; Théret, Marie
10
2016
A Curie-Weiss model of self-organized criticality. Zbl 1342.60161
Cerf, Raphaël; Gorny, Matthias
10
2016
A new genetic algorithm. Zbl 0860.60017
Cerf, Raphaël
9
1996
Critical population and error threshold on the sharp peak landscape for a Moran model. Zbl 1339.60020
Cerf, Raphaël
9
2015
Large deviations for sums of i. i. d. random compact sets. Zbl 0934.60017
Cerf, Raphaël
7
1999
Critical population and error threshold on the sharp peak landscape for the Wright-Fisher model. Zbl 1322.60146
Cerf, Raphaël
7
2015
The random walk penalised by its range in dimensions \(d\geqslant 3\). (La marche aléatoire pénalisée par son image en dimension \(d\geqslant 3\).) Zbl 1485.60028
Berestycki, Nathanaël; Cerf, Raphaël
7
2021
On bang-bang constrained solutions of a control system. Zbl 0838.34015
Cerf, Raphaël; Mariconda, Carlo
6
1995
A d-dimensional nucleation and growth model. Zbl 1259.82058
Cerf, Raphaël; Manzo, Francesco
6
2013
A short proof of Cramér’s theorem in \(\mathbb R\). Zbl 1230.60024
Cerf, Raphaël; Petit, Pierre
5
2011
The distribution of the quasispecies for a Moran model on the sharp peak landscape. Zbl 1346.92052
Cerf, Raphaël; Dalmau, Joseba
5
2016
Upper large deviations for the maximal flow through a domain of \(\mathbb R^{d}\) in first passage percolation. Zbl 1261.60089
Cerf, Raphaël; Théret, Marie
4
2011
Oriented measures with continuous densities and the bang-bang principle. Zbl 0828.49002
Cerf, Raphaël; Mariconda, Carlo
4
1994
Maximal stream and minimal cutset for first passage percolation through a domain of \(\mathbb{R}^{d}\). Zbl 1302.60132
Cerf, Raphaël; Théret, Marie
4
2014
Quasispecies on class-dependent fitness landscapes. Zbl 1348.92107
Cerf, Raphaël; Dalmau, Joseba
4
2016
The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\). Zbl 1526.60051
Cerf, Raphaël; Dembin, Barbara
4
2022
On the 2D Ising Wulff crystal near criticality. Zbl 1185.82010
Cerf, R.; Messikh, R. J.
4
2010
Large deviations of the finite cluster shape for two-dimensional percolation in the Hausdorff and \(L^1\) metric. Zbl 0974.60089
Cerf, Raphaël
3
2000
The initial drift of a 2D droplet at zero temperature. Zbl 1106.60080
Cerf, Raphaël; Louhichi, Sana
3
2007
Chebyshev measures. Zbl 0930.28009
Cerf, Raphaël; Mariconda, Carlo
3
1997
The 2D-Ising model near criticality: a FK-percolation analysis. Zbl 1228.60106
Cerf, R.; Messikh, R. J.
3
2011
On Cramér’s theory in infinite dimensions. Zbl 1136.60003
Cerf, Raphaël
3
2007
Galton-Watson and branching process representations of the normalized Perron-Frobenius eigenvector. Zbl 1506.60091
Cerf, Raphaël; Dalmau, Joseba
3
2019
Vanishing of the anchored isoperimetric profile in bond percolation at \(p_c\). Zbl 1428.60135
Cerf, Raphaël; Dembin, Barbara
3
2020
Oriented measures. Zbl 0866.49012
Cerf, Raphaël; Mariconda, Carlo
2
1996
Two dimensional zonoids and Chebyshev measures. Zbl 0885.28007
Bianchini, Stefano; Cerf, Raphaël; Mariconda, Carlo
2
1997
Rhythmic behavior of an Ising model with dissipation at low temperature. Zbl 1465.60084
Cerf, Raphaël; Dai Pra, Paolo; Formentin, Marco; Tovazzi, Daniele
2
2021
The Hausdorff lower semicontinuous envelope of the length in the plane. Zbl 1047.28001
Cerf, Raphaël
1
2002
Asymptotic convergence of a genetic algorithm. Zbl 0805.60019
Cerf, Raphaël
1
1994
A Markov chain representation of the normalized Perron-Frobenius eigenvector. Zbl 1373.15016
Cerf, Raphaël; Dalmau, Joseba
1
2017
A basic model of mutations. Zbl 1455.60094
Berger, Maxime; Cerf, Raphaël
1
2020
The quasispecies regime for the simple genetic algorithm with ranking selection. Zbl 1370.92101
Cerf, Raphaël
1
2017
Dynamical coupling between Ising and FK percolation. Zbl 1471.60146
Cerf, Raphaël; Louhichi, Sana
1
2020
The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\). Zbl 1526.60051
Cerf, Raphaël; Dembin, Barbara
4
2022
The random walk penalised by its range in dimensions \(d\geqslant 3\). (La marche aléatoire pénalisée par son image en dimension \(d\geqslant 3\).) Zbl 1485.60028
Berestycki, Nathanaël; Cerf, Raphaël
7
2021
Rhythmic behavior of an Ising model with dissipation at low temperature. Zbl 1465.60084
Cerf, Raphaël; Dai Pra, Paolo; Formentin, Marco; Tovazzi, Daniele
2
2021
Vanishing of the anchored isoperimetric profile in bond percolation at \(p_c\). Zbl 1428.60135
Cerf, Raphaël; Dembin, Barbara
3
2020
A basic model of mutations. Zbl 1455.60094
Berger, Maxime; Cerf, Raphaël
1
2020
Dynamical coupling between Ising and FK percolation. Zbl 1471.60146
Cerf, Raphaël; Louhichi, Sana
1
2020
Galton-Watson and branching process representations of the normalized Perron-Frobenius eigenvector. Zbl 1506.60091
Cerf, Raphaël; Dalmau, Joseba
3
2019
A Markov chain representation of the normalized Perron-Frobenius eigenvector. Zbl 1373.15016
Cerf, Raphaël; Dalmau, Joseba
1
2017
The quasispecies regime for the simple genetic algorithm with ranking selection. Zbl 1370.92101
Cerf, Raphaël
1
2017
Weak shape theorem in first passage percolation with infinite passage times. Zbl 1350.60100
Cerf, Raphaël; Théret, Marie
10
2016
A Curie-Weiss model of self-organized criticality. Zbl 1342.60161
Cerf, Raphaël; Gorny, Matthias
10
2016
The distribution of the quasispecies for a Moran model on the sharp peak landscape. Zbl 1346.92052
Cerf, Raphaël; Dalmau, Joseba
5
2016
Quasispecies on class-dependent fitness landscapes. Zbl 1348.92107
Cerf, Raphaël; Dalmau, Joseba
4
2016
A lower bound on the two-arms exponent for critical percolation on the lattice. Zbl 1356.60163
Cerf, Raphaël
12
2015
Critical population and error threshold on the sharp peak landscape for a Moran model. Zbl 1339.60020
Cerf, Raphaël
9
2015
Critical population and error threshold on the sharp peak landscape for the Wright-Fisher model. Zbl 1322.60146
Cerf, Raphaël
7
2015
Maximal stream and minimal cutset for first passage percolation through a domain of \(\mathbb{R}^{d}\). Zbl 1302.60132
Cerf, Raphaël; Théret, Marie
4
2014
Nucleation and growth for the Ising model in \(d\) dimensions at very low temperatures. Zbl 1286.60091
Cerf, Raphaël; Manzo, Francesco
16
2013
A d-dimensional nucleation and growth model. Zbl 1259.82058
Cerf, Raphaël; Manzo, Francesco
6
2013
Lower large deviations for the maximal flow through a domain of \({\mathbb{R}^d}\) in first passage percolation. Zbl 1230.60101
Cerf, Raphaël; Théret, Marie
12
2011
Law of large numbers for the maximal flow through a domain of \(\mathbb R^d\) in first passage percolation. Zbl 1228.60107
Cerf, Raphaël; Théret, Marie
10
2011
A short proof of Cramér’s theorem in \(\mathbb R\). Zbl 1230.60024
Cerf, Raphaël; Petit, Pierre
5
2011
Upper large deviations for the maximal flow through a domain of \(\mathbb R^{d}\) in first passage percolation. Zbl 1261.60089
Cerf, Raphaël; Théret, Marie
4
2011
The 2D-Ising model near criticality: a FK-percolation analysis. Zbl 1228.60106
Cerf, R.; Messikh, R. J.
3
2011
On the 2D Ising Wulff crystal near criticality. Zbl 1185.82010
Cerf, R.; Messikh, R. J.
4
2010
The initial drift of a 2D droplet at zero temperature. Zbl 1106.60080
Cerf, Raphaël; Louhichi, Sana
3
2007
On Cramér’s theory in infinite dimensions. Zbl 1136.60003
Cerf, Raphaël
3
2007
The Wulff crystal in Ising and percolation models. École d’Été de Probabilités de Saint-Flour XXXIV – 2004. Zbl 1103.82010
Cerf, Raphaël
38
2006
The threshold regime of finite volume bootstrap percolation. Zbl 1075.82010
Cerf, R.; Manzo, F.
57
2002
The Hausdorff lower semicontinuous envelope of the length in the plane. Zbl 1047.28001
Cerf, Raphaël
1
2002
The low-temperature expansion of the Wulff crystal in the 3D Ising model. Zbl 1013.82010
Cerf, Raphaël; Kenyon, Richard
43
2001
Phase coexistence in Ising, Potts and percolation models. Zbl 1006.60094
Cerf, Raphaël; Pisztora, Ágoston
11
2001
Large deviations for three dimensional supercritical percolation. Zbl 0962.60002
Cerf, Raphaël
37
2000
On the Wulff crystal in the Ising model. Zbl 1034.82006
Cerf, Raphaël; Pisztora, Ágoston
35
2000
Large deviations of the finite cluster shape for two-dimensional percolation in the Hausdorff and \(L^1\) metric. Zbl 0974.60089
Cerf, Raphaël
3
2000
Finite size scaling in three-dimensional bootstrap percolation. Zbl 0960.60088
Cerf, Raphaël; Cirillo, Emilio N. M.
56
1999
Large deviations for sums of i. i. d. random compact sets. Zbl 0934.60017
Cerf, Raphaël
7
1999
Asymptotic convergence of genetic algorithms. Zbl 0911.60018
Cerf, Raphaël
16
1998
Chebyshev measures. Zbl 0930.28009
Cerf, Raphaël; Mariconda, Carlo
3
1997
Two dimensional zonoids and Chebyshev measures. Zbl 0885.28007
Bianchini, Stefano; Cerf, Raphaël; Mariconda, Carlo
2
1997
The exit path of a Markov chain with rare transitions. Zbl 0869.60063
Catoni, Olivier; Cerf, Raphaël
26
1996
The three dimensional polyominoes of minimal area. Zbl 0885.05056
Alonso, Laurent; Cerf, Raphaël
26
1996
Metastability of the three dimensional Ising model on a torus at very low temperatures. Zbl 0888.60057
Ben Arous, Gérard; Cerf, Raphaël
26
1996
The dynamics of mutation-selection algorithms with large population sizes. Zbl 0861.60038
Cerf, Raphaël
10
1996
A new genetic algorithm. Zbl 0860.60017
Cerf, Raphaël
9
1996
Oriented measures. Zbl 0866.49012
Cerf, Raphaël; Mariconda, Carlo
2
1996
On bang-bang constrained solutions of a control system. Zbl 0838.34015
Cerf, Raphaël; Mariconda, Carlo
6
1995
Oriented measures with continuous densities and the bang-bang principle. Zbl 0828.49002
Cerf, Raphaël; Mariconda, Carlo
4
1994
Asymptotic convergence of a genetic algorithm. Zbl 0805.60019
Cerf, Raphaël
1
1994
all top 5

Cited by 438 Authors

24 Cerf, Raphaël
19 Nardi, Francesca Romana
15 Bollobás, Béla
12 Morris, Robert D.
10 Théret, Marie
8 Dalmau, Joseba
8 Sznitman, Alain-Sol
7 Biskup, Marek
7 Dembin, Barbara
7 Duminil-Copin, Hugo
7 Hutchcroft, Tom
7 Smith, Paul
6 Balogh, József
6 den Hollander, Frank
6 Shlosman, Senya B.
5 Bet, Gianmarco
5 Martinelli, Fabio
5 Noel, Jonathan Andrew
5 Okun’kov, Andreĭ Yur’evich
5 Procaccia, Eviatar Ben
5 Toninelli, Cristina
5 Toninelli, Fabio Lucio
5 van Enter, Aernout C. D.
4 Baldassarri, Simone
4 Balister, Paul N.
4 Cirillo, Emilio Nicola Maria
4 Colomo, Filippo
4 Fountoulakis, Nikolaos
4 Gallo, Anna Chiara
4 Gorny, Matthias
4 Hartarsky, Ivailo
4 Jacquier, Vanessa
4 Kim, Seonwoo
4 Manzo, Francesco
3 Bezdek, Károly
3 Bianchini, Stefano
3 Blanquicett, Daniel
3 Bodineau, Thierry
3 Borodin, Alexei
3 Caputo, Pietro
3 Catoni, Olivier
3 Chayes, Lincoln
3 Del Moral, Pierre
3 Forien, Nicolas
3 Gold, Julian
3 Janson, Svante
3 Lacoin, Hubert
3 Mariconda, Carlo
3 Messikh, Reda Jürg
3 Morrison, Natasha
3 Pronko, Andrei G.
3 Reshetikhin, Nikolai Yu.
3 Schonmann, Roberto Henrique
3 Scoppola, Elisabetta
3 Simenhaus, François
3 Troiani, Alessio
3 Uzzell, Andrew J.
3 Wang, Xia
3 Wouts, Marc
2 Aggarwal, Amol
2 Ahn, Andrew C.
2 Alexander, Kenneth S.
2 Amini, Hamed
2 Bérard, Jean
2 Berger, Quentin
2 Biroli, Giulio
2 Bovier, Anton
2 Braides, Andrea
2 Bushaw, Neal
2 Carlota, Clara
2 Chá, Sílvia
2 Collet, Francesca
2 Couronné, Olivier
2 Damron, Michael
2 Destainville, Nicolas
2 Dietz, Zach
2 Ding, Jian
2 Duncan, Parker
2 Fernández, Roberto
2 François, Olivier
2 Fukushima, Ryoki
2 Garet, Olivier
2 Gorin, Vadim
2 Gravier, Sylvain
2 Gravner, Janko
2 Griffiths, Simon
2 Grimmett, Geoffrey R.
2 Hammond, Alan
2 Hulshof, Tim
2 Ioffe, Dmitry
2 Jacobson, Sheldon H.
2 Kohn, Wolf
2 Kotecký, Roman
2 Kozma, Robert Thijs
2 Kubota, Naoki
2 Landim, Claudio
2 Luçon, Eric
2 Mainini, Edoardo
2 Menz, Georg
2 Miclo, Laurent
...and 338 more Authors
all top 5

Cited in 102 Serials

42 Journal of Statistical Physics
28 Probability Theory and Related Fields
20 The Annals of Probability
18 The Annals of Applied Probability
18 Stochastic Processes and their Applications
17 Communications in Mathematical Physics
15 Electronic Journal of Probability
12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 Random Structures & Algorithms
7 Transactions of the American Mathematical Society
6 Combinatorics, Probability and Computing
5 Journal of Applied Probability
5 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Advances in Applied Probability
4 Journal of Mathematical Analysis and Applications
4 Inventiones Mathematicae
4 The Electronic Journal of Combinatorics
4 Electronic Communications in Probability
4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
3 Communications on Pure and Applied Mathematics
3 Bulletin of Mathematical Biology
3 Duke Mathematical Journal
3 Proceedings of the American Mathematical Society
3 Statistics & Probability Letters
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of High Energy Physics
3 Journal of Statistical Mechanics: Theory and Experiment
2 Discrete Applied Mathematics
2 Discrete Mathematics
2 Journal of Mathematical Physics
2 Physics Reports
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 Applied Mathematics and Computation
2 Journal of Combinatorial Theory. Series A
2 Numerical Functional Analysis and Optimization
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of Mathematical Sciences (New York)
2 NoDEA. Nonlinear Differential Equations and Applications
2 Journal of the European Mathematical Society (JEMS)
2 Annales Henri Poincaré
2 Brazilian Journal of Probability and Statistics
2 Multiscale Modeling & Simulation
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Theoretical Biology
1 Archive for Rational Mechanics and Analysis
1 Biological Cybernetics
1 Information Processing Letters
1 Journal of Mathematical Biology
1 Reports on Mathematical Physics
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Dissertationes Mathematicae
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of Mathematical Economics
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Mathematika
1 Theoretical Computer Science
1 Theoretical Population Biology
1 Tôhoku Mathematical Journal. Second Series
1 European Journal of Combinatorics
1 Stochastic Analysis and Applications
1 Acta Applicandae Mathematicae
1 Physica D
1 Statistical Science
1 Algorithmica
1 Discrete & Computational Geometry
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
1 The Journal of Geometric Analysis
1 Journal of Global Optimization
1 Aequationes Mathematicae
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Dynamics and Differential Equations
1 SIAM Journal on Optimization
1 The Australasian Journal of Combinatorics
1 Bernoulli
1 European Mathematical Society Newsletter
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Chaos
1 Interfaces and Free Boundaries
1 Probability in the Engineering and Informational Sciences
1 Methodology and Computing in Applied Probability
1 Communications on Pure and Applied Analysis
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Networks and Heterogeneous Media
1 Nonlinear Analysis. Hybrid Systems
1 Ars Mathematica Contemporanea
1 Japanese Journal of Mathematics. 3rd Series
1 Sankhyā. Series A
1 Statistics and Computing
1 Forum of Mathematics, Pi
...and 2 more Serials
all top 5

Cited in 39 Fields

244 Probability theory and stochastic processes (60-XX)
195 Statistical mechanics, structure of matter (82-XX)
57 Combinatorics (05-XX)
32 Biology and other natural sciences (92-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
17 Computer science (68-XX)
16 Partial differential equations (35-XX)
13 Convex and discrete geometry (52-XX)
13 Numerical analysis (65-XX)
13 Operations research, mathematical programming (90-XX)
11 Dynamical systems and ergodic theory (37-XX)
9 Measure and integration (28-XX)
9 Statistics (62-XX)
7 Functional analysis (46-XX)
6 Quantum theory (81-XX)
4 Number theory (11-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Differential geometry (53-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Mechanics of deformable solids (74-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Fluid mechanics (76-XX)
2 Systems theory; control (93-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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