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279
Boltzmann Samplers For The Random Generation Of Combinatorial Structures
 Combinatorics, Probability and Computing
, 2004
"... This article proposes a surprisingly simple framework for the random generation of combinatorial configurations based on what we call Boltzmann models. The idea is to perform random generation of possibly complex structured objects by placing an appropriate measure spread over the whole of a combina ..."
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Cited by 107 (4 self)
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combinatorial class  an object receives a probability essentially proportional to an exponential of its size. As demonstrated here, the resulting algorithms based on realarithmetic operations often operate in linear time. They can be implemented easily, be analysed mathematically with great precision, and
Conservative forms of Boltzmann's collision operator: Landau revisited
, 1998
"... . We show that Boltzmann's collision operator can be written explicitly in divergence and double divergence forms. These conservative formulations may be of interest for both theoretical and numerical purposes. We give an application to the asymptotics of grazing collisions. Contents 1. Introd ..."
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. Introduction 1 2. Basic identities and main results 5 3. First conservative form 8 4. How to go further 12 5. Computing in oerepresentation 14 6. Landau's collision operator 20 7. The asymptotics of grazing collisions 22 References 24 1. Introduction Boltzmann's collision operator is the main model
Quantum Transport and Boltzmann Operators
, 2006
"... In this paper the transport of quantum particles in timedependent random media is studied. In the white noise limit, a quantum model for collisions is obtained. At the level of Wigner equation, this limit is described by a linear WignerBoltzmann equation. ..."
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Cited by 4 (0 self)
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In this paper the transport of quantum particles in timedependent random media is studied. In the white noise limit, a quantum model for collisions is obtained. At the level of Wigner equation, this limit is described by a linear WignerBoltzmann equation.
GinzburgLandauWilson Hamiltonian
, 2002
"... for a multicomponent continuous system: a microscopic description ..."
Spectrum of the linearized operator for the GinzburgLandau equation
, 2000
"... We study the spectrum of the linearized operator for the GinzburgLandau equation about a symmetric vortex solution with degree one. We show that the smallest eigenvalue of the linearized operator has multiplicity two, and then we describe its behavior as a small parameter approaches zero. We also ..."
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Cited by 1 (0 self)
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We study the spectrum of the linearized operator for the GinzburgLandau equation about a symmetric vortex solution with degree one. We show that the smallest eigenvalue of the linearized operator has multiplicity two, and then we describe its behavior as a small parameter approaches zero. We also
QUANTITATIVE LINEARIZED STUDY OF THE BOLTZMANN COLLISION OPERATOR AND APPLICATIONS
, 2006
"... We present recent results [4, 28, 29] about the quantitative study of the linearized Boltzmann collision operator, and its application to the study of the trend to equilibrium for the spatially homogeneous Boltzmann equation for hard spheres. ..."
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Cited by 3 (2 self)
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We present recent results [4, 28, 29] about the quantitative study of the linearized Boltzmann collision operator, and its application to the study of the trend to equilibrium for the spatially homogeneous Boltzmann equation for hard spheres.
Learning Deep Architectures for AI
"... Theoretical results suggest that in order to learn the kind of complicated functions that can represent highlevel abstractions (e.g. in vision, language, and other AIlevel tasks), one may need deep architectures. Deep architectures are composed of multiple levels of nonlinear operations, such as i ..."
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Cited by 183 (30 self)
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Theoretical results suggest that in order to learn the kind of complicated functions that can represent highlevel abstractions (e.g. in vision, language, and other AIlevel tasks), one may need deep architectures. Deep architectures are composed of multiple levels of nonlinear operations
Landau Equation
, 1992
"... On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation ..."
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On threephase boundary motion and the singular limit of a vectorvalued GinzburgLandau equation
ENTROPY DISSIPATION ESTIMATES FOR THE LINEAR BOLTZMANN OPERATOR
, 2014
"... www.carloalberto.org/research/workingpapers © 2014 by Marzia Bisi, José A. Canizo and Bertrand Lods. Any opinions expressed here are those of the authors and not those of the Collegio Carlo Alberto. ISSN 22799362 ..."
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Cited by 1 (1 self)
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www.carloalberto.org/research/workingpapers © 2014 by Marzia Bisi, José A. Canizo and Bertrand Lods. Any opinions expressed here are those of the authors and not those of the Collegio Carlo Alberto. ISSN 22799362
Conservative deterministic spectral BoltzmannPoisson solver near the Landau limit
 in Proc. of the 28th Int. Symposium on Rarefied Gas Dynamics, AIP
, 2012
"... Abstract. We present new results building on the conservative deterministic spectral method for the space homogeneous Boltzmann equation developed by Gamba and Tharkabhushaman. This approach is a twostep process that acts on the weak form of the Boltzmann equation, and uses the machinery of the Fou ..."
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Cited by 5 (1 self)
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case of collision operators with anisotropic scattering mechanisms, which requires a new formulation of the convolution weights. We also derive the grazing collisions limit for the method, and show that it is consistent with the FokkerPlanckLandau equations as the grazing collisions parameter goes
Results 11  20
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279