Conformal Fractal Geometry and Boundary Quantum Gravity

Bertrand Duplantier

Type: Preprint

Publication Date: 2003-01-01

Citations: 55

DOI: https://doi.org/10.48550/arxiv.math-ph/0303034

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Conformal Random Geometry	2006	Bertrand Duplantier
+	Course 3 Conformal random geometry	2006	Bertrand Duplantier
+	Higher Conformal Multifractality	2002	Bertrand Duplantier
+	Higher Conformal Multifractality	2002	Bertrand Duplantier
+	A Peano curve from mated geodesic trees in the directed landscape	2023	Riddhipratim Basu Manan Bhatia
+ PDF Chat	Conformally Invariant Fractals and Potential Theory	2000	Bertrand Duplantier
+ PDF Chat	Critical percolation and conformal invariance	2006	Stanislav Smirnov
+	SLE partition functions via conformal welding of random surfaces	2023	Xin Sun Yu Pu
+ PDF Chat	CLE PERCOLATIONS	2017	Jason Miller Scott Sheffield⋆ Wendelin Werner
+ PDF Chat	Geometric exponents, SLE and logarithmic minimal models	2009	Yvan Saint-Aubin Paul A. Pearce Jørgen Rasmussen
+	Loop Models and Boundary CFT	2012	Jesper Lykke Jacobsen
+ PDF Chat	Quantum Hall transitions: An exact theory based on conformal restriction	2012	Eldad Bettelheim Ilya A. Gruzberg Arne Ludwig
+ PDF Chat	Critical curves in conformally invariant statistical systems	2007	Ilia Rushkin Eldad Bettelheim Ilya A. Gruzberg P. Wiegmann
+	Stochastic Loewner Evolution: Linking Universality, Criticality and Conformal Invariance in Complex Systems	2009	Hans C. Fogedby
+	Stochastic Loewner Evolution: Linking Universality, Criticality and Conformal Invariance in Complex Systems	2011	Hans C. Fogedby
+ PDF Chat	Stochastic geometry of critical curves, Schramm–Loewner evolutions and conformal field theory	2006	Ilya A. Gruzberg
+	Conformally invariant scaling limits of random curves and correlations	2019	Alex Karrila
+ PDF Chat	Harmonic Measure and Winding of Conformally Invariant Curves	2002	Bertrand Duplantier Ilia Binder
+ PDF Chat	A geometric perspective on the scaling limits of critical Ising and $\varphi^4_d$ models	2021	Michael Aizenman
+	Liouville Quantum Gravity and KPZ	2008	Bertrand Duplantier Scott Sheffield⋆

Works That Cite This (55)

Action	Title	Year	Authors
+ PDF Chat	2D growth processes: SLE and Loewner chains	2006	Michel Bauer Denis Bernard
+ PDF Chat	The Loewner Equation: Maps and Shapes	2004	Ilya A. Gruzberg Leo P. Kadanoff
+ PDF Chat	Percolation crossing formulae and conformal field theory	2007	Jacob J H Simmons Peter Kleban Robert M. Ziff
+	Alternating Arm Exponents for the Critical Planar Ising Model	2016	Hao Wu
+	Local logarithmic correlators as limits of Coulomb gas integrals	2014	Raoul Santachiara Jacopo Viti
+ PDF Chat	Harmonic measure and winding of random conformal paths: A Coulomb gas perspective	2008	Bertrand Duplantier Ilia Binder
+ PDF Chat	Brownian motion, Chern–Simons theory, and 2d Yang–Mills	2004	Sebastian De Haro Miguel Tierz
+ PDF Chat	SLE for theoretical physicists	2005	John Cardy
+ PDF Chat	Polychromatic Arm Exponents for the Critical Planar FK-Ising Model	2018	Hao Wu
+	Multiple-SLE connectivity weights for rectangles, hexagons, and octagons	2015	Steven M. Flores Jacob J H Simmons Peter Kleban

Works Cited by This (13)

Action	Title	Year	Authors
+	Boundary Liouville field theory. 1. Boundary state and boundary two point function	2000	V.A. Fateev A. B. Zamolodchikov Alexander B. Zamolodchikov
+	SLE martingales and the Virasoro algebra	2003	Michel Bauer Denis Bernard
+ PDF Chat	Conformal Field Theories of Stochastic Loewner Evolutions	2003	Michel Bauer Denis Bernard
+ PDF Chat	Harmonic Measure and Winding of Conformally Invariant Curves	2002	Bertrand Duplantier Ilia Binder
+	<i>The Fractal Geometry of Nature</i>	1983	Benoît B. Mandelbrot John Wheeler
+ PDF Chat	FRACTAL DIMENSIONS AND CORRECTIONS TO SCALING FOR CRITICAL POTTS CLUSTERS	2002	Amnon Aharony J. Asikainen
+ PDF Chat	Stochastic Loewner evolution and Dyson's circular ensembles	2003	John Cardy
+	Higher Conformal Multifractality	2002	Bertrand Duplantier
+ PDF Chat	Monochromatic path crossing exponents and graph connectivity in 2D percolation	2002	Jesper Lykke Jacobsen Paul Zinn-Justin
+ PDF Chat	Boundary Liouville field theory: boundary three-point function	2002	Bénédicte Ponsot J. Teschner