Hölder Regularity and Dimension Bounds for Random Curves

Michael Aizenman, Almut Burchard

Type: Preprint

Publication Date: 1998-01-01

Citations: 11

DOI: https://doi.org/10.48550/arxiv.math/9801027

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Citing (19)

Action	Title	Year	Authors
+	Percolation Probabilities on the Square Lattice	1978	Paul Seymour Dominic Welsh
+ PDF Chat	Choosing a Spanning Tree for the Integer Lattice Uniformly	1991	Robin Pemantle
+ PDF Chat	The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees	1996	Kenneth S. Alexander
+ PDF Chat	Nonintersection Exponents for Brownian Paths. II. Estimates and Applications to a Random Fractal	1990	Krzysztof Burdzy Gregory F. Lawler
+ PDF Chat	The stochastic geometry of invasion percolation	1985	Jennifer Chayes L. Chayes Charles M. Newman
+	Convergence of Random Processes and Limit Theorems in Probability Theory	1956	Yu. V. Prokhorov
+	Generating random spanning trees more quickly than the cover time	1996	David B. Wilson
+	Spin-glass model with dimension-dependent ground state multiplicity	1994	Charles M. Newman D. L. Stein
+ PDF Chat	The number of incipient spanning clusters in two-dimensional percolation	1998	John Cardy
+	The Dimension of the Brownian Frontier Is Greater Than 1	1997	Christopher J. Bishop Peter W. Jones Robin Pemantle Yuval Peres
+	Inequalities with applications to percolation and reliability	1985	J. van den Berg Harry Kesten
+	The divider dimension of the graph of a function	1992	Steven R. Dunbar R.W. Douglass William J. Camp
+	<i>The Fractal Geometry of Nature</i>	1983	Benoît B. Mandelbrot John Wheeler
+ PDF Chat	On the number of incipient spanning clusters	1997	Michael Aizenman
+ PDF Chat	Scaling limits for minimal and random spanning trees in two dimensions	1999	Michael Aizenman Almut Burchard Charles M. Newman David B. Wilson
+ PDF Chat	The Dimension of the Frontier of Planar Brownian Motion	1996	Gregory F. Lawler
+	The geometry of fractal sets	1985	K. J. Falconer
+ PDF Chat	Convergence of Probability Measures	1999	Patrick Billingsley
+ PDF Chat	Ground-state structure in a highly disordered spin-glass model	1996	Charles M. Newman D. L. Stein