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## Miller, Jason P.

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 Author ID: miller.jason-p Published as: Miller, Jason Homepage: http://statslab.cam.ac.uk/~jpm205/ External Links: MGP · Wikidata · Google Scholar Awards: Clay Research Award (2017)
 Documents Indexed: 48 Publications since 2005 Biographic References: 1 Publication
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#### Co-Authors

 5 single-authored 18 Gwynne, Ewain 16 Sheffield, Scott 5 Wilson, David Bruce 4 Peres, Yuval 3 Holden, Nina 3 Werner, Wendelin 2 Qian, Wei 2 Sun, Xin 2 Watson, Samuel S. 1 Dembo, Amir 1 Ding, Jian 1 Hu, Xiaoyu 1 Kassel, Adrien 1 Kenyon, Richard W. 1 Komjáthy, Júlia 1 Mcenteggart, Oliver 1 Sousi, Perla 1 Sun, Nike
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#### Serials

 13 The Annals of Probability 9 Probability Theory and Related Fields 5 Communications in Mathematical Physics 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Electronic Journal of Probability 2 Duke Mathematical Journal 2 Inventiones Mathematicae 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 Forum of Mathematics, Pi 1 Journal de l’École Polytechnique – Mathématiques
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#### Fields

 45 Probability theory and stochastic processes (60-XX) 7 Combinatorics (05-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Measure and integration (28-XX) 4 Relativity and gravitational theory (83-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX)

#### Citations contained in zbMATH Open

45 Publications have been cited 628 times in 203 Documents Cited by Year
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott
2016
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott
2017
Imaginary geometry. III: Reversibility of $$\mathrm{SLE}_\kappa$$ for $$\kappa \in (4,8)$$. Zbl 1393.60092
Miller, Jason; Sheffield, Scott
2016
Imaginary geometry. II: Reversibility of $$\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})$$ for $$\kappa\in(0,4)$$. Zbl 1344.60078
Miller, Jason; Sheffield, Scott
2016
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott
2016
Thick points of the Gaussian free field. Zbl 1201.60047
Hu, Xiaoyu; Miller, Jason; Peres, Yuval
2010
Liouville quantum gravity and the Brownian map. I: The $$\text{QLE}(8/3,0)$$ metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott
2020
Intersections of SLE paths: the double and cut point dimension of SLE. Zbl 1408.60074
Miller, Jason; Wu, Hao
2017
Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology. Zbl 1378.60030
Gwynne, Ewain; Miller, Jason
2017
Metric gluing of Brownian and $$\sqrt{8/3}$$-Liouville quantum gravity surfaces. Zbl 1466.60020
Gwynne, Ewain; Miller, Jason
2019
Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for $$\kappa>8$$. Zbl 1393.60090
Gwynne, Ewain; Kassel, Adrien; Miller, Jason; Wilson, David B.
2018
Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk. Zbl 1466.60019
Gwynne, Ewain; Miller, Jason
2019
Bipolar orientations on planar maps and $$\mathrm{SLE}_{12}$$. Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
2019
Brownian motion correlation in the peanosphere for $$\kappa>8$$. Zbl 1388.60143
Gwynne, Ewain; Holden, Nina; Miller, Jason; Sun, Xin
2017
Fluctuations for the Ginzburg-Landau $$\nabla \phi$$ interface model on a bounded domain. Zbl 1237.82030
Miller, Jason
2011
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2019
Uniformity of the uncovered set of random walk and cutoff for lamplighter chains. Zbl 1251.60058
Miller, Jason; Peres, Yuval
2012
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott
2019
Extreme nesting in the conformal loop ensemble. Zbl 1347.60061
Miller, Jason; Watson, Samuel S.; Wilson, David B.
2016
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2017
The conformal loop ensemble nesting field. Zbl 1334.60038
Miller, Jason; Watson, Samuel S.; Wilson, David B.
2015
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $$\sqrt{8/3}$$-Liouville quantum gravity. Zbl 1441.60015
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2020
Confluence of geodesics in Liouville quantum gravity for $$\gamma \in (0,2)$$. Zbl 1453.60141
Gwynne, Ewain; Miller, Jason
2020
The Hausdorff dimension of the CLE gasket. Zbl 1305.60078
Miller, Jason; Sun, Nike; Wilson, David B.
2014
Almost sure multifractal spectrum of Schramm-Loewner evolution. Zbl 1412.60122
Gwynne, Ewain; Miller, Jason; Sun, Xin
2018
An almost sure KPZ relation for SLE and Brownian motion. Zbl 1455.60111
Gwynne, Ewain; Holden, Nina; Miller, Jason
2020
Liouville quantum gravity and the Brownian map III: the conformal structure is determined. Zbl 07334605
Miller, Jason; Sheffield, Scott
2021
Uniformity of the late points of random walk on $${\mathbb {Z}}_{n}^{d}$$ for $$d \geq 3$$. Zbl 1372.60066
Miller, Jason; Sousi, Perla
2017
Dimension of the SLE light cone, the SLE Fan, and $$\mathrm{SLE}_\kappa (\rho)$$ for $$\kappa \in (0,4)$$ and $$\rho \in\left[\frac{\kappa}{2}-4,-2\right)$$. Zbl 1429.60066
Miller, Jason
2018
The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions. Zbl 1450.60009
Miller, Jason; Qian, Wei
2020
Connection probabilities for conformal loop ensembles. Zbl 1400.60128
Miller, Jason; Werner, Wendelin
2018
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2020
Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0, 2)$$. Zbl 1461.83018
Gwynne, Ewain; Miller, Jason
2021
An axiomatic characterization of the Brownian map. (Une caractérisation axiomatique de la carte Brownienne.) Zbl 07329548
Miller, Jason; Sheffield, Scott
2021
Convergence of the self-avoiding walk on random quadrangulations to $$\mathrm{SLE}_{8/3}$$ on $$\sqrt{8/3}$$-Liouville quantum gravity. Zbl 07360848
Gwynne, Ewain; Miller, Jason
2021
Cut-off for lamplighter chains on tori: dimension interpolation and phase transition. Zbl 07030879
Dembo, Amir; Ding, Jian; Miller, Jason; Peres, Yuval
2019
Chordal $$\mathrm{SLE}_6$$ explorations of a quantum disk. Zbl 1410.60080
Gwynne, Ewain; Miller, Jason
2018
Local metrics of the Gaussian free field. (Métriques locales du champ libre Gaussien.) Zbl 07351883
Gwynne, Ewain; Miller, Jason
2021
Random walk on random planar maps: spectral dimension, resistance and displacement. Zbl 07367503
Gwynne, Ewain; Miller, Jason
2021
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 07367520
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2021
Sector reflections in the plane. Zbl 1095.30035
Miller, Jason
2005
Uniform mixing time for random walk on lamplighter graphs. Zbl 1318.60053
Komjáthy, Júlia; Miller, Jason; Peres, Yuval
2014
Dimension transformation formula for conformal maps into the complement of an SLE curve. Zbl 1434.60231
Gwynne, Ewain; Holden, Nina; Miller, Jason
2020
Gaussian free field light cones and $$\text{SLE}_{\kappa}(\rho)$$. Zbl 1453.60142
Miller, Jason; Sheffield, Scott
2019
Liouville quantum gravity as a metric space and a scaling limit. Zbl 1458.60057
Miller, Jason
2018
Liouville quantum gravity and the Brownian map III: the conformal structure is determined. Zbl 07334605
Miller, Jason; Sheffield, Scott
2021
Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0, 2)$$. Zbl 1461.83018
Gwynne, Ewain; Miller, Jason
2021
An axiomatic characterization of the Brownian map. (Une caractérisation axiomatique de la carte Brownienne.) Zbl 07329548
Miller, Jason; Sheffield, Scott
2021
Convergence of the self-avoiding walk on random quadrangulations to $$\mathrm{SLE}_{8/3}$$ on $$\sqrt{8/3}$$-Liouville quantum gravity. Zbl 07360848
Gwynne, Ewain; Miller, Jason
2021
Local metrics of the Gaussian free field. (Métriques locales du champ libre Gaussien.) Zbl 07351883
Gwynne, Ewain; Miller, Jason
2021
Random walk on random planar maps: spectral dimension, resistance and displacement. Zbl 07367503
Gwynne, Ewain; Miller, Jason
2021
The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity. Zbl 07367520
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2021
Liouville quantum gravity and the Brownian map. I: The $$\text{QLE}(8/3,0)$$ metric. Zbl 1437.83042
Miller, Jason; Sheffield, Scott
2020
The Tutte embedding of the Poisson-Voronoi tessellation of the Brownian disk converges to $$\sqrt{8/3}$$-Liouville quantum gravity. Zbl 1441.60015
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2020
Confluence of geodesics in Liouville quantum gravity for $$\gamma \in (0,2)$$. Zbl 1453.60141
Gwynne, Ewain; Miller, Jason
2020
An almost sure KPZ relation for SLE and Brownian motion. Zbl 1455.60111
Gwynne, Ewain; Holden, Nina; Miller, Jason
2020
The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions. Zbl 1450.60009
Miller, Jason; Qian, Wei
2020
Non-simple SLE curves are not determined by their range. Zbl 07174683
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2020
Dimension transformation formula for conformal maps into the complement of an SLE curve. Zbl 1434.60231
Gwynne, Ewain; Holden, Nina; Miller, Jason
2020
Metric gluing of Brownian and $$\sqrt{8/3}$$-Liouville quantum gravity surfaces. Zbl 1466.60020
Gwynne, Ewain; Miller, Jason
2019
Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk. Zbl 1466.60019
Gwynne, Ewain; Miller, Jason
2019
Bipolar orientations on planar maps and $$\mathrm{SLE}_{12}$$. Zbl 1466.60170
Kenyon, Richard; Miller, Jason; Sheffield, Scott; Wilson, David B.
2019
Harmonic functions on mated-CRT maps. Zbl 1466.60090
Gwynne, Ewain; Miller, Jason; Sheffield, Scott
2019
Liouville quantum gravity spheres as matings of finite-diameter trees. Zbl 1448.60168
Miller, Jason; Sheffield, Scott
2019
Cut-off for lamplighter chains on tori: dimension interpolation and phase transition. Zbl 07030879
Dembo, Amir; Ding, Jian; Miller, Jason; Peres, Yuval
2019
Gaussian free field light cones and $$\text{SLE}_{\kappa}(\rho)$$. Zbl 1453.60142
Miller, Jason; Sheffield, Scott
2019
Active spanning trees with bending energy on planar maps and SLE-decorated Liouville quantum gravity for $$\kappa>8$$. Zbl 1393.60090
Gwynne, Ewain; Kassel, Adrien; Miller, Jason; Wilson, David B.
2018
Almost sure multifractal spectrum of Schramm-Loewner evolution. Zbl 1412.60122
Gwynne, Ewain; Miller, Jason; Sun, Xin
2018
Dimension of the SLE light cone, the SLE Fan, and $$\mathrm{SLE}_\kappa (\rho)$$ for $$\kappa \in (0,4)$$ and $$\rho \in\left[\frac{\kappa}{2}-4,-2\right)$$. Zbl 1429.60066
Miller, Jason
2018
Connection probabilities for conformal loop ensembles. Zbl 1400.60128
Miller, Jason; Werner, Wendelin
2018
Chordal $$\mathrm{SLE}_6$$ explorations of a quantum disk. Zbl 1410.60080
Gwynne, Ewain; Miller, Jason
2018
Liouville quantum gravity as a metric space and a scaling limit. Zbl 1458.60057
Miller, Jason
2018
Imaginary geometry. IV: Interior rays, whole-plane reversibility, and space-filling trees. Zbl 1378.60108
Miller, Jason; Sheffield, Scott
2017
Intersections of SLE paths: the double and cut point dimension of SLE. Zbl 1408.60074
Miller, Jason; Wu, Hao
2017
Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology. Zbl 1378.60030
Gwynne, Ewain; Miller, Jason
2017
Brownian motion correlation in the peanosphere for $$\kappa>8$$. Zbl 1388.60143
Gwynne, Ewain; Holden, Nina; Miller, Jason; Sun, Xin
2017
CLE percolations. Zbl 1390.60356
Miller, Jason; Sheffield, Scott; Werner, Wendelin
2017
Uniformity of the late points of random walk on $${\mathbb {Z}}_{n}^{d}$$ for $$d \geq 3$$. Zbl 1372.60066
Miller, Jason; Sousi, Perla
2017
Imaginary geometry. I: Interacting SLEs. Zbl 1336.60162
Miller, Jason; Sheffield, Scott
2016
Imaginary geometry. III: Reversibility of $$\mathrm{SLE}_\kappa$$ for $$\kappa \in (4,8)$$. Zbl 1393.60092
Miller, Jason; Sheffield, Scott
2016
Imaginary geometry. II: Reversibility of $$\operatorname{SLE}_{\kappa}(\rho_{1};\rho_{2})$$ for $$\kappa\in(0,4)$$. Zbl 1344.60078
Miller, Jason; Sheffield, Scott
2016
Quantum Loewner evolution. Zbl 1364.82023
Miller, Jason; Sheffield, Scott
2016
Extreme nesting in the conformal loop ensemble. Zbl 1347.60061
Miller, Jason; Watson, Samuel S.; Wilson, David B.
2016
The conformal loop ensemble nesting field. Zbl 1334.60038
Miller, Jason; Watson, Samuel S.; Wilson, David B.
2015
The Hausdorff dimension of the CLE gasket. Zbl 1305.60078
Miller, Jason; Sun, Nike; Wilson, David B.
2014
Uniform mixing time for random walk on lamplighter graphs. Zbl 1318.60053
Komjáthy, Júlia; Miller, Jason; Peres, Yuval
2014
Uniformity of the uncovered set of random walk and cutoff for lamplighter chains. Zbl 1251.60058
Miller, Jason; Peres, Yuval
2012
Fluctuations for the Ginzburg-Landau $$\nabla \phi$$ interface model on a bounded domain. Zbl 1237.82030
Miller, Jason
2011
Thick points of the Gaussian free field. Zbl 1201.60047
Hu, Xiaoyu; Miller, Jason; Peres, Yuval
2010
Sector reflections in the plane. Zbl 1095.30035
Miller, Jason
2005
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#### Cited by 170 Authors

 38 Miller, Jason P. 26 Gwynne, Ewain 18 Sheffield, Scott 12 Sun, Xin 10 Holden, Nina 10 Werner, Wendelin 9 Ding, Jian 7 Berestycki, Nathanaël 7 Sepúlveda, Avelio 6 Aru, Juhan 6 Qian, Wei 5 Curien, Nicolas 5 Peltola, Eveliina 5 Viklund, Fredrik Johansson 5 Webb, Christian 5 Wilson, David Bruce 4 Camia, Federico 4 Dubédat, Julien 4 Falconet, Hugo 4 Pfeffer, Joshua 4 Ray, Gourab 4 Saksman, Eero 4 Zeitouni, Ofer 3 Ang, Morris 3 Biskup, Marek 3 Budd, Timothy G. 3 Chen, Linan 3 Duplantier, Bertrand 3 Garban, Christophe 3 Lambert, Gaultier 3 Le Gall, Jean-François 3 Lupu, Titus 3 Powell, Ellen 3 Rhodes, Rémi 3 Richier, Loïc 3 Sly, Allan 3 Vargas, Vincent 3 Wang, Yilin 3 Watson, Samuel S. 3 Zhan, Dapeng 3 Zhang, Fuxi 2 Albenque, Marie 2 Ambjørn, Jan 2 Archer, Eleanor 2 Baur, Erich 2 Benoist, Stéphane 2 Bertoin, Jean 2 Dembo, Amir 2 Dunlap, Alexander 2 Gorin, Vadim 2 Hotta, Ikkei 2 Hutchcroft, Tom 2 Jackson, Henry 2 Kortchemski, Igor 2 Koshida, Shinji 2 Kytölä, Kalle 2 Lawler, Gregory Francis 2 Louidor, Oren 2 Lubetzky, Eyal 2 Miermont, Grégory 2 Peres, Yuval 2 Popov, Serguei Yu. 2 Rohde, Steffen 2 Schleissinger, Sebastian 2 Sousi, Perla 2 Sun, Nike 2 Wu, Hao 2 Yao, Changlong 1 Alberts, Tom 1 Beffara, Vincent 1 Beliaev, Dmitri B. 1 Belius, David 1 Bettinelli, Jérémie L. 1 Binder, Ilia A. 1 Borodin, Alexei 1 Bramson, Maury D. 1 Broch, Ole Jacob 1 Bufetov, Alekseĭ Igor’evich 1 Caraceni, Alessandra 1 Chen, Linxiao 1 Chyzak, Frédéric 1 Cipriani, Alessandra 1 Comets, Francis M. 1 Conijn, René Petrus 1 David, François 1 De Bernardini, Diego F. 1 del Monaco, Andrea 1 Delporte, Nicolas 1 Dimitrov, Evgeni I. 1 Falconer, Kenneth J. 1 Forman, Noah Mills 1 Fredes, Luis 1 Gallesco, Christophe 1 Gandolfi, Alberto 1 Ghodratipour, Nahid 1 Giuliani, Alessandro 1 Guttmann, Anthony John 1 Hazra, Rajat Subhra 1 Hermon, Jonathan 1 Hongler, Clément ...and 70 more Authors
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#### Cited in 43 Serials

 37 Probability Theory and Related Fields 32 Communications in Mathematical Physics 27 The Annals of Probability 18 Electronic Journal of Probability 14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Stochastic Processes and their Applications 4 Journal of Statistical Physics 4 Transactions of the American Mathematical Society 4 Probability Surveys 3 Journal of Mathematical Physics 3 Inventiones Mathematicae 3 Journal of Theoretical Probability 3 Journal of the European Mathematical Society (JEMS) 2 Communications on Pure and Applied Mathematics 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 The Electronic Journal of Combinatorics 2 Electronic Communications in Probability 2 Annals of Mathematics. Second Series 2 Journal of the Institute of Mathematics of Jussieu 2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Statistics & Probability Letters 1 Journal of the American Mathematical Society 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 Geometric and Functional Analysis. GAFA 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Conformal Geometry and Dynamics 1 Annales Henri Poincaré 1 Computational Methods and Function Theory 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Pi 1 Journal de l’École Polytechnique – Mathématiques
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#### Cited in 22 Fields

 190 Probability theory and stochastic processes (60-XX) 49 Statistical mechanics, structure of matter (82-XX) 27 Quantum theory (81-XX) 23 Combinatorics (05-XX) 14 Measure and integration (28-XX) 14 Relativity and gravitational theory (83-XX) 12 Functions of a complex variable (30-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Partial differential equations (35-XX) 5 Statistics (62-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 General topology (54-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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