Results 1  10
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2,901
Constructing an Asymptotic Phase Transition in Random Binary Constraint Satisfaction Problems
 Theoretical Computer Science
, 2000
"... The standard models used to generate random binary constraint satisfaction problems are described. At the problem sizes studied experimentally, a phase transition is seen as the constraint tightness is varied. However, Achlioptas et al. showed that if the problem size (number of variables) incre ..."
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Cited by 18 (1 self)
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The standard models used to generate random binary constraint satisfaction problems are described. At the problem sizes studied experimentally, a phase transition is seen as the constraint tightness is varied. However, Achlioptas et al. showed that if the problem size (number of variables
Anti de Sitter space and holography
, 1998
"... Recently, it has been proposed by Maldacena that large N limits of certain conformal field theories in d dimensions can be described in terms of supergravity (and string theory) on the product of d+1dimensional AdS space with a compact manifold. Here we elaborate on this idea and propose a precise ..."
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Cited by 383 (7 self)
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correspondence between conformal field theory observables and those of supergravity: correlation functions in conformal field theory are given by the dependence of the supergravity action on the asymptotic behavior at infinity. In particular, dimensions of operators in conformal field theory are given by masses
The su(22) dynamic Smatrix
, 2005
"... We derive and investigate the Smatrix for the su(23) dynamic spin chain and for planar N = 4 super YangMills. Due to the large amount of residual symmetry in the excitation picture, the Smatrix turns out to be fully constrained up to an overall phase. We carry on by diagonalising it and obtain B ..."
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Cited by 222 (11 self)
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We derive and investigate the Smatrix for the su(23) dynamic spin chain and for planar N = 4 super YangMills. Due to the large amount of residual symmetry in the excitation picture, the Smatrix turns out to be fully constrained up to an overall phase. We carry on by diagonalising it and obtain
On asymptotic stability of solitary waves in a nonlinear Schrödinger equation
, 2007
"... The longtime asymptotics is analyzed for finite energy solutions of the 1D Schrödinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to the phase rotation group U(1). For initial states close to a solitary wave, the solution converges to a sum of another s ..."
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Cited by 142 (6 self)
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The longtime asymptotics is analyzed for finite energy solutions of the 1D Schrödinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to the phase rotation group U(1). For initial states close to a solitary wave, the solution converges to a sum of another
Blind Identification and Equalization Based on SecondOrder Statistics: A Time Domain Approach
 IEEE Trans. Inform. Theory
, 1994
"... A new blind channel identification and equalization method is proposed that exploits the cyclostationarity of oversampled communication signals to achieve identification and equalization of possibly nonminimum phase (multipath) channels without using training signals. Unlike most adaptive blind equa ..."
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Cited by 208 (7 self)
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A new blind channel identification and equalization method is proposed that exploits the cyclostationarity of oversampled communication signals to achieve identification and equalization of possibly nonminimum phase (multipath) channels without using training signals. Unlike most adaptive blind
Asymptotics, frequency modulation, and low regularity illposedness for canonical defocusing equations
 AMER. J. MATH
, 2002
"... In a recent paper [18], Kenig, Ponce and Vega study the low regularity behavior of the focusing nonlinear Schrödinger (NLS), focusing modified Kortewegde Vries (mKdV), and complex Kortewegde Vries (KdV) equations. Using soliton and breather solutions, they demonstrate the lack of local wellposed ..."
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Cited by 128 (13 self)
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of these equations classes of modified scattering solutions, which exist globally in time, and are asymptotic to solutions of the corresponding linear equations up to explicit phase shifts. These solutions are used to demonstrate lack of local wellposedness in certain Sobolev spaces, in the sense
Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems
 IEEE Transactions on Automatic Control
, 1991
"... AbstractIn this paper, we derive conditions under which a nonlinear system can be rendered passive via smooth state feedback and we show that, as in the case linear systems, this is possible if and only if the system in question has relative degree 1 and is weakly minimum phase. Then, we prove tha ..."
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Cited by 146 (0 self)
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that weakly minimum phase nonlinear systems having relative degree 1 can be globally asymptotically stabilized by smooth state feedback, provided that suitable controllahilit$’like rank conditions are satisfied. This result incorporates and extends a number of global asymptotic stabilization of certain
Traveling Waves In A Convolution Model For Phase Transitions
 ARCH. RATIONAL MECH. ANAL
"... The existence, uniqueness, stability and regularity properties of traveling wave solutions of a bistable nonlinear integrodifferential equation are established, as well as their global asymptotic stability in the case of zero velocity continuous waves. This equation is a direct analog of the more f ..."
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Cited by 137 (18 self)
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The existence, uniqueness, stability and regularity properties of traveling wave solutions of a bistable nonlinear integrodifferential equation are established, as well as their global asymptotic stability in the case of zero velocity continuous waves. This equation is a direct analog of the more
Results 1  10
of
2,901