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## Duplantier, Bertrand

Compute Distance To:
 Author ID: duplantier.bertrand Published as: Duplantier, B.; Duplantier, Bertrand
 Documents Indexed: 55 Publications since 1981, including 15 Books
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#### Co-Authors

 22 single-authored 13 Rivasseau, Vincent 4 Sheffield, Scott 3 David, François 3 Raimond, Jean-Michel 3 Rhodes, Rémi 3 Vargas, Vincent 3 Zinsmeister, Michel 2 Damour, Thibault 2 Darrigol, Olivier 2 Guitter, Emmanuel 2 Guttmann, Anthony John 1 Bachas, Costas 1 Beliaev, Dmitri B. 1 Bernardi, Olivier 1 Binder, Ilia A. 1 Cantarella, Jason H. 1 Dalibard, Jean 1 Douçot, Benoît 1 Fuchs, Jean-Nöel 1 Halsey, Thomas C. 1 Ho, Xuan Hieu 1 Honda, Katsuya 1 Lawler, Gregory Francis 1 Le Gall, Jean-François 1 Le, Thanh Binh 1 Lehr, Ulrike 1 Ludwig, Andreas W. W. 1 Lyons, Terence John 1 Mallick, Kirone 1 Nadeau, Philippe 1 Nguyen, Chi Mai 1 Nguyen, Nga T. T. 1 Nonnenmacher, Stéphane 1 Pasquier, Vincent 1 Schäfer, Lothar 1 Shonkwiler, Clayton 1 Uehara, Erica 1 von Ferber, Christian
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#### Serials

 13 Progress in Mathematical Physics 7 Physical Review Letters 6 Communications in Mathematical Physics 4 Journal of Statistical Physics 3 Nuclear Physics. B 2 Gazette des Mathématiciens 2 Annales Henri Poincaré 1 The Annals of Probability 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Inventiones Mathematicae 1 Journal of Physics A: Mathematical and General 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Séminaire Lotharingien de Combinatoire 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 24 Quantum theory (81-XX) 24 Statistical mechanics, structure of matter (82-XX) 19 Probability theory and stochastic processes (60-XX) 14 General and overarching topics; collections (00-XX) 10 Relativity and gravitational theory (83-XX) 5 History and biography (01-XX) 4 Measure and integration (28-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 3 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 506 times in 328 Documents Cited by Year
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
2011
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice. Zbl 1086.82501
Duplantier, Bertrand; David, François
1988
Conformal fractal geometry and boundary quantum gravity. Zbl 1068.60019
Duplantier, Bertrand
2004
Conformally invariant fractals and potential theory. Zbl 1042.82577
Duplantier, Bertrand
2000
Random walks and quantum gravity in two dimensions. Zbl 0949.83056
Duplantier, Bertrand
1998
Conformal random geometry. Zbl 1370.60013
Duplantier, Bertrand
2006
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2017
Areas of planar Brownian curves. Zbl 0717.60094
Duplantier, B.
1989
Harmonic measure exponents for two-dimensional percolation. Zbl 1042.82560
Duplantier, Bertrand
1999
Intersections of random walks. A direct renormalization approach. Zbl 0652.60073
Duplantier, Bertrand
1988
A rigorous perspective on Liouville quantum gravity and the KPZ relation. Zbl 1208.83040
Duplantier, B.
2010
Harmonic measure and winding of random conformal paths: a Coulomb gas perspective. Zbl 1190.81118
Duplantier, Bertrand; Binder, Ilia A.
2008
Higher conformal multifractality. Zbl 1041.60074
Duplantier, Bertrand
2003
The coefficient problem and multifractality of whole-plane SLE & LLE. Zbl 1326.60119
Duplantier, Bertrand; Nguyen, Chi; Nguyen, Nga; Zinsmeister, Michel
2015
Multifractals, operator product expansion, and field theory. Zbl 0968.82512
Duplantier, Bertrand; Ludwig, Andreas W. W.
1991
Renormalization of crumpled manifolds. Zbl 0984.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
1993
Renormalization of polymer networks and stars. Zbl 0992.82511
Schäfer, Lothar; von Ferber, Christian; Lehr, Ulrike; Duplantier, Bertrand
1992
The geometry of the Brownian curve. Zbl 0778.60058
Duplantier, B.; Lawler, G. F.; Le Gall, J.-F.; Lyons, T. J.
1993
Brownian motion, “diverse and undulating”. Zbl 1101.82001
Duplantier, Bertrand
2006
Can one “hear” the thermodynamics of a (rough) colloid? Zbl 0968.82516
Duplantier, Bertrand
1991
Linking numbers, contacts, and mutual inductances of a random set of closed curves. Zbl 0485.53001
Duplantier, B.
1981
Integral means spectrum of whole-plane SLE. Zbl 1370.60139
Beliaev, Dmitry; Duplantier, Bertrand; Zinsmeister, Michel
2017
A bijection between well-labelled positive paths and matchings. Zbl 1234.05036
Bernardi, Olivier; Duplantier, Bertrand; Nadeau, Philippe
2010
Multifractal dimensions for branched growth. Zbl 0937.82035
Halsey, Thomas C.; Honda, Katsuya; Duplantier, Bertrand
1996
Logarithmic coefficients and generalized multifractality of whole-plane SLE. Zbl 1417.30006
Duplantier, Bertrand; Ho, Xuan Hieu; Le, Thanh Binh; Zinsmeister, Michel
2018
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica
2016
Renormalization and hyperscaling for self-avoiding manifold models. Zbl 0973.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
1994
Linking numbers of closed manifolds at random in $$\mathbb{R}^n$$, inductances and contacts. Zbl 0506.53033
Duplantier, Bertrand
1982
Liouville quantum gravity, KPZ and Schramm-Loewner evolution. Zbl 1373.81322
Duplantier, Bertrand
2014
$$\mathbb{B}^2\mathbb{M}\&\mathbb{B}\mathbb{M}$$: Benoît B. Mandelbrot and Brownian motion. Zbl 1297.01037
Duplantier, Bertrand
2013
Liouville quantum gravity & the KPZ relation: a rigorous perspective. Zbl 1213.83064
Duplantier, Bertrand
2010
Quantum spaces. Poincaré Seminar 2007. Papers of the seminar, Paris, France, April 30, 2007. Zbl 1122.81009
Duplantier, Bertrand (ed.); Rivasseau, Vincent (ed.)
2007
Quantum decoherence. Poincaré seminar 2005. Papers based on the presentations at the seminar, Paris, France, Novenber 19, 2005. Zbl 1158.81001
Duplantier, Bertrand (ed.); Raimond, Jean-Michel (ed.); Rivasseau, Vincent (ed.)
2007
Hyperscaling for polymer rings. Zbl 1020.82520
Duplantier, Bertrand
1994
Logarithmic coefficients and generalized multifractality of whole-plane SLE. Zbl 1417.30006
Duplantier, Bertrand; Ho, Xuan Hieu; Le, Thanh Binh; Zinsmeister, Michel
2018
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2017
Integral means spectrum of whole-plane SLE. Zbl 1370.60139
Beliaev, Dmitry; Duplantier, Bertrand; Zinsmeister, Michel
2017
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica
2016
The coefficient problem and multifractality of whole-plane SLE & LLE. Zbl 1326.60119
Duplantier, Bertrand; Nguyen, Chi; Nguyen, Nga; Zinsmeister, Michel
2015
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
2014
Liouville quantum gravity, KPZ and Schramm-Loewner evolution. Zbl 1373.81322
Duplantier, Bertrand
2014
$$\mathbb{B}^2\mathbb{M}\&\mathbb{B}\mathbb{M}$$: Benoît B. Mandelbrot and Brownian motion. Zbl 1297.01037
Duplantier, Bertrand
2013
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
2011
A rigorous perspective on Liouville quantum gravity and the KPZ relation. Zbl 1208.83040
Duplantier, B.
2010
A bijection between well-labelled positive paths and matchings. Zbl 1234.05036
Bernardi, Olivier; Duplantier, Bertrand; Nadeau, Philippe
2010
Liouville quantum gravity & the KPZ relation: a rigorous perspective. Zbl 1213.83064
Duplantier, Bertrand
2010
Harmonic measure and winding of random conformal paths: a Coulomb gas perspective. Zbl 1190.81118
Duplantier, Bertrand; Binder, Ilia A.
2008
Quantum spaces. Poincaré Seminar 2007. Papers of the seminar, Paris, France, April 30, 2007. Zbl 1122.81009
Duplantier, Bertrand (ed.); Rivasseau, Vincent (ed.)
2007
Quantum decoherence. Poincaré seminar 2005. Papers based on the presentations at the seminar, Paris, France, Novenber 19, 2005. Zbl 1158.81001
Duplantier, Bertrand (ed.); Raimond, Jean-Michel (ed.); Rivasseau, Vincent (ed.)
2007
Conformal random geometry. Zbl 1370.60013
Duplantier, Bertrand
2006
Brownian motion, “diverse and undulating”. Zbl 1101.82001
Duplantier, Bertrand
2006
Conformal fractal geometry and boundary quantum gravity. Zbl 1068.60019
Duplantier, Bertrand
2004
Higher conformal multifractality. Zbl 1041.60074
Duplantier, Bertrand
2003
Conformally invariant fractals and potential theory. Zbl 1042.82577
Duplantier, Bertrand
2000
Harmonic measure exponents for two-dimensional percolation. Zbl 1042.82560
Duplantier, Bertrand
1999
Random walks and quantum gravity in two dimensions. Zbl 0949.83056
Duplantier, Bertrand
1998
Multifractal dimensions for branched growth. Zbl 0937.82035
Halsey, Thomas C.; Honda, Katsuya; Duplantier, Bertrand
1996
Renormalization and hyperscaling for self-avoiding manifold models. Zbl 0973.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
1994
Hyperscaling for polymer rings. Zbl 1020.82520
Duplantier, Bertrand
1994
Renormalization of crumpled manifolds. Zbl 0984.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
1993
The geometry of the Brownian curve. Zbl 0778.60058
Duplantier, B.; Lawler, G. F.; Le Gall, J.-F.; Lyons, T. J.
1993
Renormalization of polymer networks and stars. Zbl 0992.82511
Schäfer, Lothar; von Ferber, Christian; Lehr, Ulrike; Duplantier, Bertrand
1992
Multifractals, operator product expansion, and field theory. Zbl 0968.82512
Duplantier, Bertrand; Ludwig, Andreas W. W.
1991
Can one “hear” the thermodynamics of a (rough) colloid? Zbl 0968.82516
Duplantier, Bertrand
1991
Areas of planar Brownian curves. Zbl 0717.60094
Duplantier, B.
1989
Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice. Zbl 1086.82501
Duplantier, Bertrand; David, François
1988
Intersections of random walks. A direct renormalization approach. Zbl 0652.60073
Duplantier, Bertrand
1988
Linking numbers of closed manifolds at random in $$\mathbb{R}^n$$, inductances and contacts. Zbl 0506.53033
Duplantier, Bertrand
1982
Linking numbers, contacts, and mutual inductances of a random set of closed curves. Zbl 0485.53001
Duplantier, B.
1981
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#### Cited by 373 Authors

 21 Miller, Jason P. 21 Rhodes, Rémi 21 Vargas, Vincent 18 Gwynne, Ewain 17 Sheffield, Scott 14 Duplantier, Bertrand 10 Ding, Jian 10 Saksman, Eero 9 Lawler, Gregory Francis 8 Sun, Xin 8 Webb, Christian 8 Werner, Wendelin 7 Holden, Nina 7 Kupiainen, Antti 7 Schramm, Oded 6 David, François 6 Fyodorov, Yan V. 6 Zeitouni, Ofer 5 Aru, Juhan 5 Berestycki, Nathanaël 5 Curien, Nicolas 5 Garban, Christophe 5 Jin, Xiong 5 Ostrovskii, Dmitrii M. 5 Sepúlveda, Avelio 4 Barral, Julien 4 Biskup, Marek 4 Dubédat, Julien 4 Guttmann, Anthony John 4 Kenyon, Richard W. 4 Madaule, Thomas 4 Nikula, Miika 4 Pfeffer, Joshua 4 Powell, Ellen 4 Rivasseau, Vincent 4 Wiese, Kay Jörg 4 Zhang, Fuxi 3 Antonov, N. V. 3 Chen, Linan 3 Falconet, Hugo 3 Guitter, Emmanuel 3 Lambert, Gaultier 3 Le Doussal, Pierre 3 Le Gall, Jean-François 3 Louidor, Oren 3 Orlandini, Enzo 3 Qian, Wei 3 Remy, Guillaume F. 3 Sportiello, Andrea 3 Zinsmeister, Michel 2 Albin, J. M. P. 2 Andres, Sebastian 2 Angel, Omer 2 Arguin, Louis-Pierre 2 Astala, Kari 2 Beliaev, Dmitri B. 2 Ben Geloun, Joseph 2 Bilal, Adel 2 Cantarella, Jason H. 2 Caracciolo, Sergio 2 Chevillard, Laurent 2 Conway, Andrew R. 2 Dunlap, Alexander 2 Even-Zohar, Chaim 2 Gruzberg, Ilya A. 2 Gurau, Razvan 2 Gurel-Gurevich, Ori 2 Ho, Xuan Hieu 2 Huang, Yichao 2 Hutchcroft, Tom 2 Jacobsen, Jesper Lykke 2 Jakobson, Dmitry 2 Jones, Peter Wilcox 2 Junnila, Janne 2 Kadanoff, Leo Philip 2 Karlsson, Anders 2 Kholodenko, Arkady L. 2 Klenke, Achim 2 Koshida, Shinji 2 Kostov, Ivan K. 2 Lacoin, Hubert 2 Le, Thanh Binh 2 Leduc, Laetitia 2 Lupu, Titus 2 Magnen, Jacques 2 Maillard, Pascal 2 Miermont, Grégory 2 Mörters, Peter 2 Nachmias, Asaf 2 Nigro, Alessandro 2 Oikonomou, P. 2 Peccati, Giovanni 2 Peltola, Eveliina 2 Peres, Yuval 2 Ray, Gourab 2 Rushkin, I. 2 Santachiara, Raoul 2 Shonkwiler, Clayton 2 Sokal, Alan D. 2 Unterberger, Jérémie M. ...and 273 more Authors
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#### Cited in 80 Serials

 41 Communications in Mathematical Physics 30 Probability Theory and Related Fields 25 The Annals of Probability 22 Journal of Statistical Physics 17 Journal of Statistical Mechanics: Theory and Experiment 15 Nuclear Physics. B 14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 Journal of Mathematical Physics 8 Annales Henri Poincaré 7 Acta Mathematica 6 Electronic Journal of Probability 6 Electronic Communications in Probability 5 Duke Mathematical Journal 5 The Annals of Applied Probability 5 Physical Review Letters 4 Transactions of the American Mathematical Society 4 Statistics & Probability Letters 4 Stochastic Processes and their Applications 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Theoretical and Mathematical Physics 3 Inventiones Mathematicae 3 Journal of Functional Analysis 3 Journal of High Energy Physics 3 Physical Review E. Third Series 3 Journal of Physics A: Mathematical and Theoretical 3 Probability Surveys 2 International Journal of Modern Physics B 2 International Journal of Theoretical Physics 2 Physics Reports 2 Publications Mathématiques 2 Advances in Applied Mathematics 2 Journal of the American Mathematical Society 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Potential Analysis 2 Fractals 2 Annals of Mathematics. Second Series 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal de l’École Polytechnique – Mathématiques 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 General Relativity and Gravitation 1 Journal of Computational Physics 1 Physica A 1 Reviews of Modern Physics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Fortschritte der Physik 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Journal of the London Mathematical Society. Second Series 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Algorithmica 1 Discrete & Computational Geometry 1 Computational Geometry 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Computational Mathematics and Mathematical Physics 1 Journal of Non-Equilibrium Thermodynamics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Applied and Computational Harmonic Analysis 1 The Electronic Journal of Combinatorics 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Evolution Equations 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Noncommutative Geometry 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Forum of Mathematics, Pi 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Journal of Applied and Computational Topology
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#### Cited in 42 Fields

 212 Probability theory and stochastic processes (60-XX) 108 Statistical mechanics, structure of matter (82-XX) 77 Quantum theory (81-XX) 33 Relativity and gravitational theory (83-XX) 30 Combinatorics (05-XX) 29 Measure and integration (28-XX) 17 Partial differential equations (35-XX) 15 Functions of a complex variable (30-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Fluid mechanics (76-XX) 10 Differential geometry (53-XX) 7 Number theory (11-XX) 7 Numerical analysis (65-XX) 6 Convex and discrete geometry (52-XX) 6 Manifolds and cell complexes (57-XX) 6 Statistics (62-XX) 5 Nonassociative rings and algebras (17-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Algebraic geometry (14-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)