Results 1  10
of
1,678
Planning Algorithms
, 2004
"... This book presents a unified treatment of many different kinds of planning algorithms. The subject lies at the crossroads between robotics, control theory, artificial intelligence, algorithms, and computer graphics. The particular subjects covered include motion planning, discrete planning, planning ..."
Abstract

Cited by 1108 (51 self)
 Add to MetaCart
This book presents a unified treatment of many different kinds of planning algorithms. The subject lies at the crossroads between robotics, control theory, artificial intelligence, algorithms, and computer graphics. The particular subjects covered include motion planning, discrete planning, planning under uncertainty, sensorbased planning, visibility, decisiontheoretic planning, game theory, information spaces, reinforcement learning, nonlinear systems, trajectory planning, nonholonomic planning, and kinodynamic planning.
STRING THEORY AND THE FUZZY TORUS
, 2004
"... Revised (Day Month Year) We outline a brief description of non commutative geometry and present some applications in string theory. We use the fuzzy torus as our guiding example. Keywords: Noncommutative geometry; Gauge theories; Mtheory 1. ..."
Abstract
 Add to MetaCart
Revised (Day Month Year) We outline a brief description of non commutative geometry and present some applications in string theory. We use the fuzzy torus as our guiding example. Keywords: Noncommutative geometry; Gauge theories; Mtheory 1.
Quantum field theory on noncommutative spaces
"... A pedagogical and selfcontained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the WeylWigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommuta ..."
Abstract

Cited by 397 (26 self)
 Add to MetaCart
, noncommutative YangMills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an indepth study of the gauge group of noncommutative YangMills theory. Some of the more mathematical ideas and
On conformal field theories
 in fourdimensions,” Nucl. Phys. B533
, 1998
"... We review the generalization of field theory to spacetime with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last ..."
Abstract

Cited by 366 (1 self)
 Add to MetaCart
We review the generalization of field theory to spacetime with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. Submitted to Reviews of Modern Physics.
The string dual of a confining fourdimensional gauge theory
, 2000
"... We study N = 1 gauge theories obtained by adding finite mass terms to N = 4 YangMills theory. The Maldacena dual is nonsingular: in each of the many vacua, there is an extended brane source, arising from Myers’ dielectric effect. The source consists of one or more (p,q) 5branes. In particular, the ..."
Abstract

Cited by 359 (8 self)
 Add to MetaCart
We study N = 1 gauge theories obtained by adding finite mass terms to N = 4 YangMills theory. The Maldacena dual is nonsingular: in each of the many vacua, there is an extended brane source, arising from Myers’ dielectric effect. The source consists of one or more (p,q) 5branes. In particular, the confining vacuum contains an NS5brane; the confining flux tube is a fundamental string bound to the 5brane. The system admits a simple quantitative description as a perturbation of a state on the N = 4 Coulomb branch. Various nonperturbative phenomena, including flux tubes, baryon vertices, domain walls, condensates and instantons, have new, quantitatively precise, dual descriptions. We also briefly consider two QCDlike theories. Our method extends to the nonsupersymmetric case. As expected, the N = 4 matter cannot be decoupled within the supergravity regime.
Fuzzy Torus in Matrix Model
, 2004
"... We have calculated the free energy up to two loop to compare T 2 with T 4 in IIB matrix model. It turns out that T 2 has smaller free energy than T 4. We have also discussed the generation of the gauge group by considering kcoincident fuzzy tori and found that in this case U(1) gauge group is favor ..."
Abstract
 Add to MetaCart
We have calculated the free energy up to two loop to compare T 2 with T 4 in IIB matrix model. It turns out that T 2 has smaller free energy than T 4. We have also discussed the generation of the gauge group by considering kcoincident fuzzy tori and found that in this case U(1) gauge group
From kuramoto to crawford: exploring the onset of synchronization in populations of coupled oscillators
 Phys. D
, 2000
"... The Kuramoto model describes a large population of coupled limitcycle oscillators whose natural frequencies are drawn from some prescribed distribution. If the coupling strength exceeds a certain threshold, the system exhibits a phase transition: some of the oscillators spontaneously synchronize, w ..."
Abstract

Cited by 300 (4 self)
 Add to MetaCart
The Kuramoto model describes a large population of coupled limitcycle oscillators whose natural frequencies are drawn from some prescribed distribution. If the coupling strength exceeds a certain threshold, the system exhibits a phase transition: some of the oscillators spontaneously synchronize, while others remain incoherent. The mathematical analysis of this bifurcation has proved both problematic and fascinating. We review 25 years of research on the Kuramoto model, highlighting the false turns as well as the successes, but mainly following the trail leading from Kuramoto’s work to Crawford’s recent contributions. It is a lovely winding road, with excursions through mathematical biology, statistical physics, kinetic theory, bifurcation theory, and plasma physics. © 2000 Elsevier Science B.V. All rights reserved.
Lectures on fuzzy and fuzzy SUSY physics
, 2005
"... our friend and teacher, and a true and creative seeker of knowledge. Preface One of us (Balachandran) gave a course of lectures on “Fuzzy Physics ” during spring, 2002 for students of Syracuse and Brown Universities. The course which used video conferencing technology was also put on the websites [1 ..."
Abstract

Cited by 10 (0 self)
 Add to MetaCart
our friend and teacher, and a true and creative seeker of knowledge. Preface One of us (Balachandran) gave a course of lectures on “Fuzzy Physics ” during spring, 2002 for students of Syracuse and Brown Universities. The course which used video conferencing technology was also put on the websites
Generalized Fuzzy Torus and its Modular Properties ⋆
"... Abstract. We consider a generalization of the basic fuzzy torus to a fuzzy torus with nontrivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a scalar field. In the semiclassical limit, the generali ..."
Abstract
 Add to MetaCart
Abstract. We consider a generalization of the basic fuzzy torus to a fuzzy torus with nontrivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a scalar field. In the semiclassical limit
Results 1  10
of
1,678