Jason P. Miller
American mathematician
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Mathematics
Jason P. Miller's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Jason P. Miller Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jason Peter Miller is an American mathematician, specializing in probability theory. After graduating from Okemos High School, Miller matriculated in 2002 at the University of Michigan, where he graduated in 2006 with a B.S. with joint majors in mathematics, computer science, and economics. In 2006 he became a graduate student in mathematics at Stanford University. In 2011 he graduated there with a PhD supervised by Amir Dembo with dissertation random surfaces . Miller was a summer intern in 2009 at Microsoft Research and in 2010 at D.E. Shaw & Co. He was a postdoctoral researcher from September 2010 to July 2012 at Microsoft and from July 2012 to July 2015 at MIT's department of mathematics, where he worked with Scott Sheffield. In 2015 Miller became a reader at Trinity College, Cambridge and in the University of Cambridge's Statistics Laboratory.
Jason P. Miller's Published Works
Published Works
- Imaginary geometry I: interacting SLEs (2012) (249)
- Liouville quantum gravity as a mating of trees (2014) (222)
- Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees (2013) (173)
- Liouville quantum gravity and the Brownian map I: The QLE(8/3,0) metric (2015) (157)
- Quantum Loewner Evolution (2013) (129)
- Liouville quantum gravity and the Brownian map III: the conformal structure is determined (2016) (128)
- Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding (2016) (105)
- Intersections of SLE Paths: the double and cut point dimension of SLE (2013) (78)
- An axiomatic characterization of the Brownian map (2015) (75)
- Bipolar orientations on planar maps and SLE$_{12}$ (2015) (65)
- The Tutte embedding of the mated-CRT map converges to Liouville quantum gravity (2017) (53)
- Liouville quantum gravity spheres as matings of finite-diameter trees (2015) (52)
- Scaling limit of the uniform infinite half-plane quadrangulation in the Gromov-Hausdorff-Prokhorov-uniform topology (2016) (48)
- Imaginary geometry III: reversibility of SLE_\kappa\ for \kappa \in (4,8) (2012) (47)
- Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0,2)$$ γ ∈ ( 0 , (2019) (44)
- An almost sure KPZ relation for SLE and Brownian motion (2015) (38)
- Confluence of geodesics in Liouville quantum gravity for γ ∈ ( 0 , 2 ) (2019) (37)
- Random walk on random planar maps: Spectral dimension, resistance and displacement (2017) (37)
- CLE PERCOLATIONS (2016) (37)
- Active Spanning Trees with Bending Energy on Planar Maps and SLE-Decorated Liouville Quantum Gravity for $${\kappa > 8}$$κ>8 (2016) (35)
- Uniformity of the uncovered set of random walk and cutoff for lamplighter chains (2009) (32)
- Extreme nesting in the conformal loop ensemble (2013) (32)
- Convergence of the free Boltzmann quadrangulation with simple boundary to the Brownian disk (2017) (32)
- Convergence of the self-avoiding walk on random quadrangulations to SLE$_{8/3}$ on $\sqrt{8/3}$-Liouville quantum gravity (2016) (32)
- Convergence of percolation on uniform quadrangulations with boundary to SLE$_{6}$ on $\sqrt{8/3}$-Liouville quantum gravity (2017) (32)
- Local metrics of the Gaussian free field (2019) (30)
- Conformal covariance of the Liouville quantum gravity metric for γ∈(0,2) (2021) (30)
- Brownian motion correlation in the peanosphere for κ > 8 (2016) (29)
- Harmonic functions on mated-CRT maps (2018) (26)
- Non-simple SLE curves are not determined by their range (2016) (25)
- Thick points of the Gaussian free field. (2009) (24)
- Substrate Spatial Complexity Analysis for the Prediction of Ventricular Arrhythmias in Patients With Ischemic Cardiomyopathy (2020) (24)
- The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to $$\sqrt{8/3}$$-Liouville Quantum Gravity (2018) (22)
- Liouville quantum gravity and the Brownian map I: the $$\mathrm{QLE}(8/3,0)$$QLE(8/3,0) metric (2019) (22)
- Submitted to the Annals of Probability METRIC GLUING OF BROWNIAN AND √ 8 / 3-LIOUVILLE QUANTUM GRAVITY SURFACES (2018) (21)
- Simple conformal loop ensembles on Liouville quantum gravity (2020) (20)
- The geodesics in Liouville quantum gravity are not Schramm–Loewner evolutions (2018) (20)
- Universality for SLE(4) (2010) (20)
- The conformal loop ensemble nesting field (2013) (19)
- Brownian motion correlation in the peanosphere for $\kappa > 8$ (2015) (17)
- The Hausdorff dimension of the CLE gasket (2012) (17)
- Relative critical sets in RR(N) and applications to image analysis (1998) (16)
- Image Loci are Ridges in Geometric Spaces (1997) (16)
- Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces (2020) (15)
- LIOUVILLE QUANTUM GRAVITY AS A METRIC SPACE AND A SCALING LIMIT (2017) (14)
- Uniformity of the late points of random walk on Z_n^d for d >= 3 (2013) (12)
- Connection Probabilities for Conformal Loop Ensembles (2017) (12)
- GEODESICS IN THE BROWNIAN MAP: STRONG CONFLUENCE AND GEOMETRIC STRUCTURE (2020) (11)
- UNIQUENESS OF THE WELDING PROBLEM FOR SLE AND LIOUVILLE QUANTUM GRAVITY (2018) (10)
- Almost sure multifractal spectrum of SLE (2014) (9)
- Confluence of geodesics in Liouville quantum gravity for $\gamma \in (0,2)$ (2019) (9)
- Uniformity of the late points of random walk on $${\mathbb {Z}}_{n}^{d}$$Znd for $$d \ge 3$$d≥3 (2017) (9)
- BIPOLAR ORIENTATIONS ON PLANAR MAPS AND SLE (2018) (8)
- Learning Theory for Inferring Interaction Kernels in Second-Order Interacting Agent Systems (2020) (8)
- Chordal SLE$_6$ explorations of a quantum disk (2017) (8)
- An invariance principle for ergodic scale-free random environments (2018) (8)
- Metric gluing of Brownian and $\sqrt{8/3}$-Liouville quantum gravity surfaces (2016) (8)
- Conformal Invariance of CLEΚ on the Riemann Sphere for Κ ∈(4,8) (2018) (7)
- Conformal covariance of the Liouville quantum gravity metric for $\gamma \in (0,2)$ (2019) (7)
- Dimension transformation formula for conformal maps into the complement of an SLE curve (2016) (7)
- Uniform mixing time for random walk on lamplighter graphs (2011) (7)
- Cut-off for lamplighter chains on tori: dimension interpolation and Phase transition (2013) (6)
- The Maximal Scale Ridge (1999) (6)
- Bipolar orientations on planar maps and $\mathrm{SLE}_{12}$ (2019) (5)
- Quasi-stationary Random Overlap Structures and the Continuous Cascades (2008) (5)
- Learning Interaction Kernels for Agent Systems on Riemannian Manifolds (2021) (4)
- Existence and uniqueness of the conformally covariant volume measure on conformal loop ensembles (2022) (3)
- Characterizations of SLE$_{\kappa}$ for $\kappa \in (4,8)$ on Liouville quantum gravity (2017) (3)
- Dimension of the SLE Light Cone, the SLE Fan, and $${{\rm SLE}_\kappa(\rho)}$$SLEκ(ρ) for $${\kappa \in (0,4)}$$κ∈(0,4) and $${\rho \in}$$ρ∈$${\big[{\tfrac{\kappa}{2}}-4,-2\big)}$$[κ2-4,-2) (2018) (3)
- Painting a graph with competing random walks (2010) (2)
- A continuous proof of the existence of the SLE$_8$ curve (2022) (2)
- Tightness of approximations to the chemical distance metric for simple conformal loop ensembles (2021) (1)
- Okounkov Bodies of Borel Orbit Closures in Wonderful Group Compactifications (2014) (1)
- Confluence of geodesics in Liouville quantum gravity (2020) (1)
- Regularity of the SLE$_4$ uniformizing map and the SLE$_8$ trace (2021) (1)
- Conformal invariance of CLE$_\kappa$ on the Riemann sphere for $\kappa \in (4,8)$ (2018) (1)
- Gaussian free field light cones and $\mathrm{SLE}_{\kappa }(\rho )$ (2019) (1)
- Existence and uniqueness of the Liouville quantum gravity metric for γ∈(0,2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docum (2020) (0)
- Bipolar oriented random planar maps with large faces and exotic SLE$_\kappa(\rho)$ processes (2022) (0)
- CLE percolations; Arxiv (2016) (0)
- An Introduction to Spectral Graph Theory (2020) (0)
- Local metrics of the Gaussian free (2021) (0)
- The Tutte Embedding of the Poisson–Voronoi Tessellation of the Brownian Disk Converges to 8/3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-6 (2019) (0)
- Cut-off for lamplighter chains on tori: dimension interpolation and Phase transition (2018) (0)
- CONFLUENCE OF GEODESICS IN LIOUVILLE (2019) (0)
- Uniformity of the late points of random walk on Znd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {Z}}_{n}^{ (2016) (0)
- Non-simple conformal loop ensembles on Liouville quantum gravity and the law of CLE percolation interfaces (2021) (0)
- Dimension of the SLE light cone, the SLE fan, and SLE$_\kappa(\rho)$ for $\kappa \in (0,4)$ and $\rho \in [\tfrac{\kappa}{2}-4,-2)$ (2016) (0)
- Intersections of SLE Paths: the double and cut point dimension of SLE (2016) (0)
- Equivalence of metric gluing and conformal welding in $\gamma$-Liouville quantum gravity for $\gamma \in (0,2)$ (2022) (0)
- Dimension transformation formula for conformal maps into the complement of an SLE curve (2019) (0)
- Imaginary geometry I: interacting SLEs (2016) (0)
- PR ] 1 M ay 2 01 9 Local metrics of the Gaussian free field (2019) (0)
- Liouville quantum gravity and the Brownian map III: the conformal structure is determined (2021) (0)
- Gaussian free field light cones and SLE$_\kappa(\rho)$ (2016) (0)
- Machine Learning for Discovering Effective Interaction Kernels between Celestial Bodies from Ephemerides (2021) (0)
- Connection Probabilities for Conformal Loop Ensembles (2018) (0)
- Conformal removability of SLE$_4$ (2022) (0)
- The conformal loop ensemble nesting field (2015) (0)
- Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees (2017) (0)
- Liouville quantum gravity and the Brownian map I: the QLE(8/3,0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathr (2019) (0)
- “Visual Indexes” and Standardized Storage for Large Collections of 35mm Slides (2015) (0)
- Conformal removability of non-simple Schramm-Loewner evolutions (2023) (0)
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