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Duplantier, Bertrand

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Author ID: duplantier.bertrand Recent zbMATH articles by "Duplantier, Bertrand"
Published as: Duplantier, Bertrand; Duplantier, B.
Documents Indexed: 56 Publications since 1981, including 16 Books

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 516 times in 336 Documents Cited by Year
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
158
2011
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
56
2014
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
53
2014
Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice. Zbl 1086.82501
Duplantier, Bertrand; David, François
31
1988
Conformal fractal geometry and boundary quantum gravity. Zbl 1068.60019
Duplantier, Bertrand
26
2004
Conformally invariant fractals and potential theory. Zbl 1042.82577
Duplantier, Bertrand
24
2000
Random walks and quantum gravity in two dimensions. Zbl 0949.83056
Duplantier, Bertrand
21
1998
Conformal random geometry. Zbl 1370.60013
Duplantier, Bertrand
15
2006
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
12
2017
Harmonic measure exponents for two-dimensional percolation. Zbl 1042.82560
Duplantier, Bertrand
10
1999
Intersections of random walks. A direct renormalization approach. Zbl 0652.60073
Duplantier, Bertrand
10
1988
Areas of planar Brownian curves. Zbl 0717.60094
Duplantier, B.
9
1989
A rigorous perspective on Liouville quantum gravity and the KPZ relation. Zbl 1208.83040
Duplantier, B.
9
2010
The coefficient problem and multifractality of whole-plane SLE & LLE. Zbl 1326.60119
Duplantier, Bertrand; Nguyen, Chi; Nguyen, Nga; Zinsmeister, Michel
8
2015
Multifractals, operator product expansion, and field theory. Zbl 0968.82512
Duplantier, Bertrand; Ludwig, Andreas W. W.
7
1991
Higher conformal multifractality. Zbl 1041.60074
Duplantier, Bertrand
7
2003
Harmonic measure and winding of random conformal paths: a Coulomb gas perspective. Zbl 1190.81118
Duplantier, Bertrand; Binder, Ilia A.
7
2008
Renormalization of polymer networks and stars. Zbl 0992.82511
Schäfer, Lothar; von Ferber, Christian; Lehr, Ulrike; Duplantier, Bertrand
6
1992
The geometry of the Brownian curve. Zbl 0778.60058
Duplantier, B.; Lawler, G. F.; Le Gall, J.-F.; Lyons, T. J.
5
1993
Linking numbers, contacts, and mutual inductances of a random set of closed curves. Zbl 0485.53001
Duplantier, B.
4
1981
Multifractal dimensions for branched growth. Zbl 0937.82035
Halsey, Thomas C.; Honda, Katsuya; Duplantier, Bertrand
4
1996
Renormalization of crumpled manifolds. Zbl 0984.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
4
1993
Brownian motion, “diverse and undulating”. Zbl 1101.82001
Duplantier, Bertrand
4
2006
Integral means spectrum of whole-plane SLE. Zbl 1370.60139
Beliaev, Dmitry; Duplantier, Bertrand; Zinsmeister, Michel
4
2017
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica
3
2016
Logarithmic coefficients and generalized multifractality of whole-plane SLE. Zbl 1417.30006
Duplantier, Bertrand; Ho, Xuan Hieu; Le, Thanh Binh; Zinsmeister, Michel
3
2018
Can one “hear” the thermodynamics of a (rough) colloid? Zbl 0968.82516
Duplantier, Bertrand
3
1991
A bijection between well-labelled positive paths and matchings. Zbl 1234.05036
Bernardi, Olivier; Duplantier, Bertrand; Nadeau, Philippe
3
2010
Linking numbers of closed manifolds at random in \(\mathbb{R}^n\), inductances and contacts. Zbl 0506.53033
Duplantier, Bertrand
2
1982
Renormalization and hyperscaling for self-avoiding manifold models. Zbl 0973.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
2
1994
Liouville quantum gravity & the KPZ relation: a rigorous perspective. Zbl 1213.83064
Duplantier, Bertrand
2
2010
Hyperscaling for polymer rings. Zbl 1020.82520
Duplantier, Bertrand
1
1994
\(\mathbb{B}^2\mathbb{M}\&\mathbb{B}\mathbb{M}\): Benoît B. Mandelbrot and Brownian motion. (\(\mathbb{B}^2\mathbb{M}\&\mathbb{M}\mathbb{B}\): Benoît B. Mandelbrot et le mouvement brownien.) Zbl 1297.01037
Duplantier, Bertrand
1
2013
Liouville quantum gravity, KPZ and Schramm-Loewner evolution. Zbl 1373.81322
Duplantier, Bertrand
1
2014
Quantum spaces. Poincaré Seminar 2007. Papers of the seminar, Paris, France, April 30, 2007. Zbl 1122.81009
Duplantier, Bertrand (ed.); Rivasseau, Vincent (ed.)
1
2007
Logarithmic coefficients and generalized multifractality of whole-plane SLE. Zbl 1417.30006
Duplantier, Bertrand; Ho, Xuan Hieu; Le, Thanh Binh; Zinsmeister, Michel
3
2018
Log-correlated Gaussian fields: an overview. Zbl 1366.60023
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
12
2017
Integral means spectrum of whole-plane SLE. Zbl 1370.60139
Beliaev, Dmitry; Duplantier, Bertrand; Zinsmeister, Michel
4
2017
A fast direct sampling algorithm for equilateral closed polygons. Zbl 1342.82063
Cantarella, Jason; Duplantier, Bertrand; Shonkwiler, Clayton; Uehara, Erica
3
2016
The coefficient problem and multifractality of whole-plane SLE & LLE. Zbl 1326.60119
Duplantier, Bertrand; Nguyen, Chi; Nguyen, Nga; Zinsmeister, Michel
8
2015
Renormalization of critical Gaussian multiplicative chaos and KPZ relation. Zbl 1297.60033
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
56
2014
Critical Gaussian multiplicative chaos: convergence of the derivative martingale. Zbl 1306.60055
Duplantier, Bertrand; Rhodes, Rémi; Sheffield, Scott; Vargas, Vincent
53
2014
Liouville quantum gravity, KPZ and Schramm-Loewner evolution. Zbl 1373.81322
Duplantier, Bertrand
1
2014
\(\mathbb{B}^2\mathbb{M}\&\mathbb{B}\mathbb{M}\): Benoît B. Mandelbrot and Brownian motion. (\(\mathbb{B}^2\mathbb{M}\&\mathbb{M}\mathbb{B}\): Benoît B. Mandelbrot et le mouvement brownien.) Zbl 1297.01037
Duplantier, Bertrand
1
2013
Liouville quantum gravity and KPZ. Zbl 1226.81241
Duplantier, Bertrand; Sheffield, Scott
158
2011
A rigorous perspective on Liouville quantum gravity and the KPZ relation. Zbl 1208.83040
Duplantier, B.
9
2010
A bijection between well-labelled positive paths and matchings. Zbl 1234.05036
Bernardi, Olivier; Duplantier, Bertrand; Nadeau, Philippe
3
2010
Liouville quantum gravity & the KPZ relation: a rigorous perspective. Zbl 1213.83064
Duplantier, Bertrand
2
2010
Harmonic measure and winding of random conformal paths: a Coulomb gas perspective. Zbl 1190.81118
Duplantier, Bertrand; Binder, Ilia A.
7
2008
Quantum spaces. Poincaré Seminar 2007. Papers of the seminar, Paris, France, April 30, 2007. Zbl 1122.81009
Duplantier, Bertrand; Rivasseau, Vincent
1
2007
Conformal random geometry. Zbl 1370.60013
Duplantier, Bertrand
15
2006
Brownian motion, “diverse and undulating”. Zbl 1101.82001
Duplantier, Bertrand
4
2006
Conformal fractal geometry and boundary quantum gravity. Zbl 1068.60019
Duplantier, Bertrand
26
2004
Higher conformal multifractality. Zbl 1041.60074
Duplantier, Bertrand
7
2003
Conformally invariant fractals and potential theory. Zbl 1042.82577
Duplantier, Bertrand
24
2000
Harmonic measure exponents for two-dimensional percolation. Zbl 1042.82560
Duplantier, Bertrand
10
1999
Random walks and quantum gravity in two dimensions. Zbl 0949.83056
Duplantier, Bertrand
21
1998
Multifractal dimensions for branched growth. Zbl 0937.82035
Halsey, Thomas C.; Honda, Katsuya; Duplantier, Bertrand
4
1996
Renormalization and hyperscaling for self-avoiding manifold models. Zbl 0973.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
2
1994
Hyperscaling for polymer rings. Zbl 1020.82520
Duplantier, Bertrand
1
1994
The geometry of the Brownian curve. Zbl 0778.60058
Duplantier, B.; Lawler, G. F.; Le Gall, J.-F.; Lyons, T. J.
5
1993
Renormalization of crumpled manifolds. Zbl 0984.82506
David, François; Duplantier, Bertrand; Guitter, Emmanuel
4
1993
Renormalization of polymer networks and stars. Zbl 0992.82511
Schäfer, Lothar; von Ferber, Christian; Lehr, Ulrike; Duplantier, Bertrand
6
1992
Multifractals, operator product expansion, and field theory. Zbl 0968.82512
Duplantier, Bertrand; Ludwig, Andreas W. W.
7
1991
Can one “hear” the thermodynamics of a (rough) colloid? Zbl 0968.82516
Duplantier, Bertrand
3
1991
Areas of planar Brownian curves. Zbl 0717.60094
Duplantier, B.
9
1989
Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice. Zbl 1086.82501
Duplantier, Bertrand; David, François
31
1988
Intersections of random walks. A direct renormalization approach. Zbl 0652.60073
Duplantier, Bertrand
10
1988
Linking numbers of closed manifolds at random in \(\mathbb{R}^n\), inductances and contacts. Zbl 0506.53033
Duplantier, Bertrand
2
1982
Linking numbers, contacts, and mutual inductances of a random set of closed curves. Zbl 0485.53001
Duplantier, B.
4
1981
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Cited by 352 Authors

26 Miller, Jason P.
25 Gwynne, Ewain
21 Rhodes, Rémi
21 Vargas, Vincent
18 Sheffield, Scott
14 Duplantier, Bertrand
11 Sun, Xin
10 Ding, Jian
10 Saksman, Eero
9 Holden, Nina
9 Lawler, Gregory Francis
9 Webb, Christian
8 Werner, Wendelin
7 Kupiainen, Antti
7 Schramm, Oded
6 Curien, Nicolas
6 Garban, Christophe
6 Sepúlveda, Avelio
6 Zeitouni, Ofer
5 Aru, Juhan
5 Berestycki, Nathanaël
5 David, François
5 Fyodorov, Yan V.
5 Jin, Xiong
5 Lambert, Gaultier
5 Ostrovskii, Dmitrii M.
5 Pfeffer, Joshua
4 Barral, Julien
4 Dubédat, Julien
4 Falconet, Hugo
4 Guttmann, Anthony John
4 Kenyon, Richard W.
4 Madaule, Thomas
4 Nikula, Miika
4 Powell, Ellen
4 Qian, Wei
4 Rivasseau, Vincent
4 Zhang, Fuxi
3 Ang, Morris
3 Antonov, N. V.
3 Biskup, Marek
3 Chen, Linan
3 Guitter, Emmanuel
3 Le Gall, Jean-François
3 Louidor, Oren
3 Orlandini, Enzo
3 Remy, Guillaume F.
3 Shonkwiler, Clayton
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 Cantarella, Jason H.
2 Caracciolo, Sergio
2 Chevillard, Laurent
2 Conway, Andrew R.
2 Dunlap, Alexander
2 Even-Zohar, Chaim
2 Fukushima, Masatoshi
2 Gruzberg, Ilya A.
2 Gurel-Gurevich, Ori
2 Ho, Xuan Hieu
2 Huang, Yichao
2 Hutchcroft, Tom
2 Jakobson, Dmitry
2 Jego, Antoine
2 Jones, Peter Wilcox
2 Junnila, Janne
2 Kadanoff, Leo Philip
2 Kholodenko, Arkady L.
2 Klenke, Achim
2 Koshida, Shinji
2 Lacoin, Hubert
2 Le Doussal, Pierre
2 Le, Thanh Binh
2 Lupu, Titus
2 Magnen, Jacques
2 Maillard, Pascal
2 Miermont, Grégory
2 Mörters, Peter
2 Muravnik, Andreĭ Borisovich
2 Nachmias, Asaf
2 Needham, Tom
2 Nigro, Alessandro
2 Oikonomou, P.
2 Peccati, Giovanni
2 Peltola, Eveliina
2 Peres, Yuval
2 Ray, Gourab
2 Rushkin, I.
2 Sokal, Alan D.
2 Unterberger, Jérémie M.
2 Whittington, Stuart G.
2 Wiese, Kay Jörg
2 Wilson, David Bruce
...and 252 more Authors
all top 5

Cited in 82 Serials

41 Communications in Mathematical Physics
32 Probability Theory and Related Fields
28 The Annals of Probability
22 Journal of Statistical Physics
17 Journal of Statistical Mechanics: Theory and Experiment
16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
10 Journal of Mathematical Physics
9 Electronic Journal of Probability
8 Nuclear Physics. B
8 Annales Henri Poincaré
7 Acta Mathematica
6 Duke Mathematical Journal
6 Electronic Communications in Probability
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 Annales de l’Institut Fourier
3 Inventiones Mathematicae
3 Journal of Functional Analysis
3 Potential Analysis
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 Fractals
2 Annals of Mathematics. Second Series
2 Journal of High Energy Physics
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 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 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 Journal of Mathematical Sciences (New York)
1 The Electronic Journal of Combinatorics
1 Advances in Computational Mathematics
1 Bernoulli
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Journal of Evolution Equations
1 Journal of the Institute of Mathematics of Jussieu
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 Mathematical Modelling of Natural Phenomena
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
all top 5

Cited in 42 Fields

229 Probability theory and stochastic processes (60-XX)
106 Statistical mechanics, structure of matter (82-XX)
72 Quantum theory (81-XX)
32 Combinatorics (05-XX)
30 Relativity and gravitational theory (83-XX)
28 Measure and integration (28-XX)
19 Partial differential equations (35-XX)
15 Functions of a complex variable (30-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Fluid mechanics (76-XX)
10 Differential geometry (53-XX)
9 Global analysis, analysis on manifolds (58-XX)
7 Number theory (11-XX)
6 Potential theory (31-XX)
6 Operator theory (47-XX)
6 Convex and discrete geometry (52-XX)
6 Manifolds and cell complexes (57-XX)
6 Statistics (62-XX)
6 Numerical analysis (65-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Nonassociative rings and algebras (17-XX)
4 Biology and other natural sciences (92-XX)
3 Algebraic geometry (14-XX)
3 Special functions (33-XX)
3 Ordinary differential equations (34-XX)
3 General topology (54-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Mechanics of particles and systems (70-XX)
2 Mechanics of deformable solids (74-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-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 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year