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## Miermont, Grégory

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 Author ID: miermont.gregory Published as: Miermont, G.; Miermont, Grégory Homepage: http://perso.ens-lyon.fr/gregory.miermont/ External Links: MGP · Wikidata · dblp Awards: EMS Prize (2012)
 Documents Indexed: 41 Publications since 2001, including 1 Book
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#### Co-Authors

 11 single-authored 6 Haas, Bénédicte 4 Bertoin, Jean 4 Curien, Nicolas 4 Le Gall, Jean-François 4 Pitman, Jim William 3 Aldous, David John 2 Baur, Erich 2 Berestycki, Julien 2 Bettinelli, Jérémie L. 2 Marckert, Jean-François 1 Addario-Berry, Louigi 1 Angel, Omer 1 Barral, Julien 1 Bernardi, Olivier 1 Broutin, Nicolas 1 Chen, Xinxin 1 Fan, Ai Hua 1 Goldschmidt, Christina 1 Guionnet, Alice 1 Hairer, Martin 1 Jacob, Emmanuel 1 Jaffard, Stéphane 1 Kolesnik, Brett 1 Ménard, Laurent 1 Peyrière, Jacques 1 Ray, Gourab 1 Richier, Loïc 1 Schweinsberg, Jason Ross 1 Weill, Mathilde 1 Winkel, Matthias
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#### Serials

 7 The Annals of Probability 6 Electronic Journal of Probability 5 Probability Theory and Related Fields 3 Random Structures & Algorithms 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 The Annals of Applied Probability 1 Electronic Communications in Probability 1 Bernoulli 1 Oberwolfach Reports 1 Panoramas et Synthèses
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#### Fields

 40 Probability theory and stochastic processes (60-XX) 17 Combinatorics (05-XX) 2 General and overarching topics; collections (00-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX)

#### Citations contained in zbMATH

38 Publications have been cited 591 times in 273 Documents Cited by Year
The Brownian map is the scaling limit of uniform random plane quadrangulations. Zbl 1278.60124
Miermont, Grégory
2013
Tessellations of random maps of arbitrary genus. Zbl 1228.05118
Miermont, Grégory
2009
Scaling limits of Markov branching trees with applications to Galton-Watson and random unordered trees. Zbl 1259.60033
Haas, Bénédicte; Miermont, Grégory
2012
Scaling limits of random planar maps with large faces. Zbl 1204.05088
Le Gall, Jean-François; Miermont, Grégory
2011
The genealogy of self-similar fragmentations with negative index as a continuum random tree. Zbl 1064.60076
Haas, Bénédicte; Miermont, Grégory
2004
Invariance principles for random bipartite planar maps. Zbl 1208.05135
Marckert, Jean-François; Miermont, Grégory
2007
Self-similar fragmentation derived from the stable tree. I: Splitting at heights. Zbl 1042.60043
Miermont, Grégory
2003
Scaling limits of random trees and planar maps. Zbl 1321.05240
Le Gall, Jean-François; Miermont, Grégory
2012
A view from infinity of the uniform infinite planar quadrangulation. Zbl 1277.05151
Curien, N.; Ménard, L.; Miermont, G.
2013
Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models. Zbl 1155.92033
Haas, Bénédicte; Miermont, Grégory; Pitman, Jim; Winkel, Matthias
2008
Compact Brownian surfaces. I: Brownian disks. Zbl 1373.60062
Bettinelli, Jérémie; Miermont, Grégory
2017
Uniform infinite planar quadrangulations with a boundary. Zbl 1351.60011
Curien, Nicolas; Miermont, Grégory
2015
Self-similar fragmentations derived from the stable tree. II: Splitting at nodes. Zbl 1071.60065
Miermont, Grégory
2005
The scaling limit of uniform random plane maps, via the Ambjørn-Budd bijection. Zbl 1320.60088
Bettinelli, Jérémie L.; Jacob, Emmanuel; Miermont, Grégory
2014
Invariance principles for spatial multitype Galton-Watson trees. Zbl 1178.60058
Miermont, Grégory
2008
The scaling limit of the minimum spanning tree of the complete graph. Zbl 1407.60013
Addario-Berry, Louigi; Broutin, Nicolas; Goldschmidt, Christina; Miermont, Grégory
2017
On the sphericity of scaling limits of random planar quadrangulations. Zbl 1193.60016
Miermont, Grégory
2008
Ordered additive coalescent and fragmentations associated to Lévy processes with no positive jumps. Zbl 0974.60054
Miermont, Grégory
2001
The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035
Bertoin, Jean; Miermont, Grégory
2013
The CRT is the scaling limit of unordered binary trees. Zbl 1223.05027
Marckert, Jean-François; Miermont, Grégory
2011
The Brownian cactus. I: Scaling limits of discrete cactuses. Zbl 1275.60035
Curien, Nicolas; Le Gall, Jean-François; Miermont, Grégory
2013
Self-similar scaling limits of non-increasing Markov chains. Zbl 1263.92034
Haas, Bénédicte; Miermont, Grégory
2011
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
An invariance principle for random planar maps. Zbl 1195.60049
Miermont, Grégory
2006
Radius and profile of random planar maps with faces of arbitrary degrees. Zbl 1190.60024
Miermont, Grégory; Weill, Mathilde
2008
Brownian bridge asymptotics for random $$p$$-mappings. Zbl 1064.60012
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
A Boltzmann approach to percolation on random triangulations. Zbl 1432.60087
Bernardi, Olivier; Curien, Nicolas; Miermont, Grégory
2019
Classification of scaling limits of uniform quadrangulations with a boundary. Zbl 1448.60027
Baur, Erich; Miermont, Grégory; Ray, Gourab
2019
Random maps and their scaling limits. Zbl 1205.60024
Miermont, Grégory
2009
Asymptotics in Knuth’s parking problem for caravans. Zbl 1102.60006
Bertoin, Jean; Miermont, Grégory
2006
Self-similar fragmentations and stable subordinators. Zbl 1038.60073
Miermont, Grégory; Schweinsberg, Jason
2003
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees. Zbl 1078.60006
Aldous, David; Miermont, Grégory; Pitman, Jim
2005
Stability of geodesics in the Brownian map. Zbl 1407.60018
Angel, Omer; Kolesnik, Brett; Miermont, Grégory
2017
Long Brownian bridges in hyperbolic spaces converge to Brownian trees. Zbl 1386.60121
Chen, Xinxin; Miermont, Grégory
2017
Geodesic rays in the uniform in nite half-planar quadrangulation return to the boundary. Zbl 1353.05111
Baur, Erich; Miermont, Grégory; Richier, Loïc
2016
Random maps and continuum random 2-dimensional geometries. Zbl 1364.60021
Miermont, Grégory
2013
On the scaling limit of random planar maps with large faces. Zbl 1238.60111
Le Gall, Jean-Francois; Miermont, Grégory
2010
Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. Zbl 1308.28002
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques
2010
A Boltzmann approach to percolation on random triangulations. Zbl 1432.60087
Bernardi, Olivier; Curien, Nicolas; Miermont, Grégory
2019
Classification of scaling limits of uniform quadrangulations with a boundary. Zbl 1448.60027
Baur, Erich; Miermont, Grégory; Ray, Gourab
2019
Compact Brownian surfaces. I: Brownian disks. Zbl 1373.60062
Bettinelli, Jérémie; Miermont, Grégory
2017
The scaling limit of the minimum spanning tree of the complete graph. Zbl 1407.60013
Addario-Berry, Louigi; Broutin, Nicolas; Goldschmidt, Christina; Miermont, Grégory
2017
Stability of geodesics in the Brownian map. Zbl 1407.60018
Angel, Omer; Kolesnik, Brett; Miermont, Grégory
2017
Long Brownian bridges in hyperbolic spaces converge to Brownian trees. Zbl 1386.60121
Chen, Xinxin; Miermont, Grégory
2017
Geodesic rays in the uniform in nite half-planar quadrangulation return to the boundary. Zbl 1353.05111
Baur, Erich; Miermont, Grégory; Richier, Loïc
2016
Uniform infinite planar quadrangulations with a boundary. Zbl 1351.60011
Curien, Nicolas; Miermont, Grégory
2015
The scaling limit of uniform random plane maps, via the Ambjørn-Budd bijection. Zbl 1320.60088
Bettinelli, Jérémie L.; Jacob, Emmanuel; Miermont, Grégory
2014
The Brownian map is the scaling limit of uniform random plane quadrangulations. Zbl 1278.60124
Miermont, Grégory
2013
A view from infinity of the uniform infinite planar quadrangulation. Zbl 1277.05151
Curien, N.; Ménard, L.; Miermont, G.
2013
The cut-tree of large Galton-Watson trees and the Brownian CRT. Zbl 1279.60035
Bertoin, Jean; Miermont, Grégory
2013
The Brownian cactus. I: Scaling limits of discrete cactuses. Zbl 1275.60035
Curien, Nicolas; Le Gall, Jean-François; Miermont, Grégory
2013
Random maps and continuum random 2-dimensional geometries. Zbl 1364.60021
Miermont, Grégory
2013
Scaling limits of Markov branching trees with applications to Galton-Watson and random unordered trees. Zbl 1259.60033
Haas, Bénédicte; Miermont, Grégory
2012
Scaling limits of random trees and planar maps. Zbl 1321.05240
Le Gall, Jean-François; Miermont, Grégory
2012
Scaling limits of random planar maps with large faces. Zbl 1204.05088
Le Gall, Jean-François; Miermont, Grégory
2011
The CRT is the scaling limit of unordered binary trees. Zbl 1223.05027
Marckert, Jean-François; Miermont, Grégory
2011
Self-similar scaling limits of non-increasing Markov chains. Zbl 1263.92034
Haas, Bénédicte; Miermont, Grégory
2011
On the scaling limit of random planar maps with large faces. Zbl 1238.60111
Le Gall, Jean-Francois; Miermont, Grégory
2010
Some interactions between analysis, probability theory and fractals. To Benoît Mandelbrot, in memoriam. Zbl 1308.28002
Barral, Julien; Berestycki, Julien; Bertoin, Jean; Fan, Aihua; Haas, Bénédicte; Jaffard, Stéphane; Miermont, Grégory; Peyrière, Jacques
2010
Tessellations of random maps of arbitrary genus. Zbl 1228.05118
Miermont, Grégory
2009
Random maps and their scaling limits. Zbl 1205.60024
Miermont, Grégory
2009
Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models. Zbl 1155.92033
Haas, Bénédicte; Miermont, Grégory; Pitman, Jim; Winkel, Matthias
2008
Invariance principles for spatial multitype Galton-Watson trees. Zbl 1178.60058
Miermont, Grégory
2008
On the sphericity of scaling limits of random planar quadrangulations. Zbl 1193.60016
Miermont, Grégory
2008
Radius and profile of random planar maps with faces of arbitrary degrees. Zbl 1190.60024
Miermont, Grégory; Weill, Mathilde
2008
Invariance principles for random bipartite planar maps. Zbl 1208.05135
Marckert, Jean-François; Miermont, Grégory
2007
An invariance principle for random planar maps. Zbl 1195.60049
Miermont, Grégory
2006
Asymptotics in Knuth’s parking problem for caravans. Zbl 1102.60006
Bertoin, Jean; Miermont, Grégory
2006
Self-similar fragmentations derived from the stable tree. II: Splitting at nodes. Zbl 1071.60065
Miermont, Grégory
2005
Weak convergence of random p-mappings and the exploration process of inhomogeneous continuum random trees. Zbl 1078.60006
Aldous, David; Miermont, Grégory; Pitman, Jim
2005
The genealogy of self-similar fragmentations with negative index as a continuum random tree. Zbl 1064.60076
Haas, Bénédicte; Miermont, Grégory
2004
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin’s local time identity. Zbl 1056.60011
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Brownian bridge asymptotics for random $$p$$-mappings. Zbl 1064.60012
Aldous, David; Miermont, Grégory; Pitman, Jim
2004
Self-similar fragmentation derived from the stable tree. I: Splitting at heights. Zbl 1042.60043
Miermont, Grégory
2003
Self-similar fragmentations and stable subordinators. Zbl 1038.60073
Miermont, Grégory; Schweinsberg, Jason
2003
Ordered additive coalescent and fragmentations associated to Lévy processes with no positive jumps. Zbl 0974.60054
Miermont, Grégory
2001
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#### Cited by 227 Authors

 22 Curien, Nicolas 17 Le Gall, Jean-François 16 Miermont, Grégory 15 Gwynne, Ewain 13 Bertoin, Jean 12 Haas, Bénédicte 11 Kortchemski, Igor 11 Miller, Jason P. 11 Pitman, Jim William 9 Winkel, Matthias 8 Delmas, Jean-François 7 Abraham, Romain 6 David, François 6 Rhodes, Rémi 6 Sheffield, Scott 6 Stufler, Benedikt 6 Uribe Bravo, Gerónimo 6 Vargas, Vincent 5 Baur, Erich 5 Chapuy, Guillaume 5 Holden, Nina 5 Marzouk, Cyril 5 Richier, Loïc 5 Sun, Xin 4 Addario-Berry, Louigi 4 Bettinelli, Jérémie L. 4 Bhamidi, Shankar 4 Broutin, Nicolas 4 Budd, Timothy G. 4 Drmota, Michael 4 Gnedin, Alexander V. 4 Goldschmidt, Christina 4 Iksanov, Aleksander M. 4 Marckert, Jean-François 4 Marynych, Alexander V. 4 Ménard, Laurent 4 Ray, Gourab 4 Sen, Sanchayan 4 Stefánsson, Sigurdur Örn 4 Stephenson, Robin 4 van der Hofstad, Remco W. 3 Ambjørn, Jan 3 Angel, Omer 3 Berestycki, Nathanaël 3 Bousquet-Mélou, Mireille 3 Budzinski, Thomas 3 Ding, Jian 3 Dubédat, Julien 3 Duquesne, Thomas 3 Eynard, Bertrand 3 Falconet, Hugo 3 Guitter, Emmanuel 3 Hansen, Jennie C. 3 He, Hui 3 Jaworski, Jerzy 3 Möhle, Martin 3 Pfeffer, Joshua 3 Rizzolo, Douglas 3 Yambartsev, Anatoly A. 3 Zohren, Stefan 2 Abraham, Céline 2 Aru, Juhan 2 Ben Geloun, Joseph 2 Benjamini, Itai 2 Bernardi, Olivier 2 Borga, Jacopo 2 Bouttier, Jérémie 2 Caraceni, Alessandra 2 Charbonnier, Séverin 2 Chen, Linxiao 2 Croydon, David A. 2 Dieuleveut, Daphné 2 Dunlap, Alexander 2 Eckhoff, Maren 2 Féray, Valentin 2 Forman, Noah Mills 2 Fusy, Éric 2 Gittenberger, Bernhard 2 Goodman, Jesse 2 Huang, Yichao 2 Hutchcroft, Tom 2 James, Lancelot F. 2 Kovchegov, Yevgeniy V. 2 Kuba, Markus F. 2 Lepoutre, Mathias 2 Lijoi, Antonio 2 Löhr, Wolfgang 2 Nachmias, Asaf 2 Nardi, Francesca Romana 2 Olsen, Lars Folke 2 Panholzer, Alois 2 Prünster, Igor 2 Rivasseau, Vincent 2 Sisko, Valentin V. 2 Stauffer, Alexandre O. 2 Wen, Yuting 2 Wilson, David Bruce 2 Winter, Anita 2 Zaliapin, Ilya 1 Aidekon, Elie E. F. ...and 127 more Authors
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#### Cited in 58 Serials

 36 Probability Theory and Related Fields 31 The Annals of Probability 28 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 14 Stochastic Processes and their Applications 13 Communications in Mathematical Physics 11 Random Structures & Algorithms 11 Electronic Journal of Probability 10 The Annals of Applied Probability 7 Journal of Combinatorial Theory. Series A 7 Bernoulli 5 Journal of Statistical Physics 5 Journal of Theoretical Probability 5 ALEA. Latin American Journal of Probability and Mathematical Statistics 5 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 4 Inventiones Mathematicae 4 Combinatorics, Probability and Computing 4 Electronic Communications in Probability 4 Annales Henri Poincaré 4 Journal of Statistical Mechanics: Theory and Experiment 4 Probability Surveys 3 Journal of Mathematical Physics 3 Nuclear Physics. B 3 Transactions of the American Mathematical Society 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 The Electronic Journal of Combinatorics 3 Séminaire Lotharingien de Combinatoire 2 Advances in Applied Probability 2 Acta Mathematica 2 Publications Mathématiques 2 Journal of Applied Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Annals of Mathematics. Second Series 2 Journal de l’École Polytechnique – Mathématiques 2 Annales Henri Lebesgue 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Canadian Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 European Journal of Combinatorics 1 Statistics & Probability Letters 1 Graphs and Combinatorics 1 Algorithmica 1 Geometric and Functional Analysis. GAFA 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Conformal Geometry and Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Brazilian Journal of Probability and Statistics 1 Stochastic Models 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Oberwolfach Reports 1 Japanese Journal of Mathematics. 3rd Series 1 Statistics Surveys 1 Science China. Mathematics 1 Journal of Probability and Statistics 1 Stochastic Systems 1 Transactions of the American Mathematical Society. Series B
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#### Cited in 31 Fields

 215 Probability theory and stochastic processes (60-XX) 113 Combinatorics (05-XX) 25 Statistical mechanics, structure of matter (82-XX) 21 Quantum theory (81-XX) 16 Relativity and gravitational theory (83-XX) 11 Measure and integration (28-XX) 9 Biology and other natural sciences (92-XX) 8 Statistics (62-XX) 7 Convex and discrete geometry (52-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 3 Number theory (11-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

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