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Random Surfaces
, 2006
"... We study the statistical physical properties of (discretized) “random surfaces, ” which are random functions from Z d (or large subsets of Z d) to E, where E is Z or R. Their laws are determined by convex, nearestneighbor, gradient Gibbs potentials that are invariant under translation by a fullran ..."
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Cited by 19 (0 self)
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We study the statistical physical properties of (discretized) “random surfaces, ” which are random functions from Z d (or large subsets of Z d) to E, where E is Z or R. Their laws are determined by convex, nearestneighbor, gradient Gibbs potentials that are invariant under translation by a full
Scaling in Steiner random surfaces
"... Abstract It has been suggested that the modified Steiner action functional has desirable properties for a random surface action. In this paper we investigate the scaling of the string tension and massgap in a variant of this action on dynamically triangulated random surfaces and compare the results ..."
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Abstract It has been suggested that the modified Steiner action functional has desirable properties for a random surface action. In this paper we investigate the scaling of the string tension and massgap in a variant of this action on dynamically triangulated random surfaces and compare
Scaling in Steiner Random Surfaces
, 2008
"... It has been suggested that the modified Steiner action functional has desirable properties for a random surface action. In this paper we investigate the scaling of the string tension and massgap in a variant of this action on dynamically triangulated random surfaces and compare the results with the ..."
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It has been suggested that the modified Steiner action functional has desirable properties for a random surface action. In this paper we investigate the scaling of the string tension and massgap in a variant of this action on dynamically triangulated random surfaces and compare the results
Random Surfaces With Ising Spins
, 1990
"... INTRODUCTION String theories have been the subject of intense studies during the last decade, motivated by the hope that they will provide a new fundamental theory of "everything". In its Euclidean version, a string theory corresponds to a theory of random surfaces. It has become evident, ..."
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INTRODUCTION String theories have been the subject of intense studies during the last decade, motivated by the hope that they will provide a new fundamental theory of "everything". In its Euclidean version, a string theory corresponds to a theory of random surfaces. It has become evident
Coloring of Triangulated Random Surfaces
, 1993
"... A system for modeling random surfaces that can evolve with time, specifically for computer simulations of String Theory, requires a fast and efficient means for coloring the sites to ensure that adjacent sites are not updated simultaneously. Effective coloring algorithms are implemented on two diffe ..."
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A system for modeling random surfaces that can evolve with time, specifically for computer simulations of String Theory, requires a fast and efficient means for coloring the sites to ensure that adjacent sites are not updated simultaneously. Effective coloring algorithms are implemented on two
Random Surfaces and Lattice Gravity
, 1997
"... In this talk I review some of the recent developments in the field of random surfaces and the Dynamical Triangulation approach to simplicial quantum gravity. In two dimensions I focus on the c = 1 barrier and the fractal dimension of twodimensional quantum gravity coupled to matter with emphasis on ..."
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In this talk I review some of the recent developments in the field of random surfaces and the Dynamical Triangulation approach to simplicial quantum gravity. In two dimensions I focus on the c = 1 barrier and the fractal dimension of twodimensional quantum gravity coupled to matter with emphasis
Universality of hypercubic random surfaces
, 1997
"... We study universality properties of the Weingarten hypercubic random surfaces. Since a long time the model of hypercubic random surfaces with a local restriction forbidding surface self–bendings was thought to be in a different universality class from the unrestricted model defined on the full set ..."
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We study universality properties of the Weingarten hypercubic random surfaces. Since a long time the model of hypercubic random surfaces with a local restriction forbidding surface self–bendings was thought to be in a different universality class from the unrestricted model defined on the full set
Pants decompositions of random surfaces
 Geom. Funct. Anal
"... Abstract. Our goal is to show, in two different contexts, that “random ” surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus g for which any pants decomposition requires curves of total length at least g7/6−ε. Moreover, we prove that this bound holds f ..."
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Cited by 7 (1 self)
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Abstract. Our goal is to show, in two different contexts, that “random ” surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus g for which any pants decomposition requires curves of total length at least g7/6−ε. Moreover, we prove that this bound holds
Random surfaces enumerating . . .
, 2004
"... The discovery that a relation exists between the two topics in the title was made by physicists who viewed them as two approaches to Feynman integral over all surfaces in string theory: one via direct discretization, the other through topological methods. A famous example is the celebrated conjectur ..."
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conjecture by Witten connecting combinatorial tessellations of surfaces (conveniently enumerated by random matrix integrals) with intersection theory on the moduli spaces of curves, see [45]. Several mathematical proofs of this conjecture are now available [22, 36, 31], but the exact mathematical match
Hypercubic Random Surfaces with Extrinsic Curvature
, 1999
"... We analyze a model of hypercubic random surfaces with an extrinsic curvature term in the action. We find a first order phase transition at finite coupling separating a branched polymer from a stable flat phase. 1 ..."
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We analyze a model of hypercubic random surfaces with an extrinsic curvature term in the action. We find a first order phase transition at finite coupling separating a branched polymer from a stable flat phase. 1
Results 1  10
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