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18
On the existence of exponentially decreasing solutions of the nonlinear Landau damping problem
 Indiana Univ. Math. J
, 2009
"... Abstract. In this paper we prove the existence of a large class of periodic solutions of the VlasovPoisson in one space dimension that decay exponentially as t → ∞. The exponential decay is well known for the linearized version of the Landau damping problem. The results in this paper provide the f ..."
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Cited by 9 (0 self)
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the first example of solutions of the whole nonlinear VlasovPoisson system that exhibit such rate of decay. Keywords. Landau damping, VlasovPoisson system, exponential decay, analiticity properties of the solutions.
Stereo Omnidirectional Vision for a Hopping Robot
"... AbstractThis paper proposes a new geometrical structure for stereoscopic vision using omnidirectional cameras. The motivation of this work comes from the desire to equip a small hopping robot with an efficient and robust vision system to perform self localization during exploration missions. Becau ..."
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Cited by 1 (1 self)
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. Because of size and weight constraints, we selected the Panoramic Annular Lens, for which no geometric model of stereo configuration was available. The paper describes the geometrical optical properties of the single lens and proposes a configuration for doing stereo vision with this lens. The analitical
Spectral Densities and Borel Transforms
, 1993
"... We show that the leading double spectral density in sum rules for Comptonlike processes can be obtained by simple properties of the Borel transform, extending an approach widely used in the literature on sum rules, and known to be valid only for the spectral densities of form factors. The extension ..."
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. The extension is illustrated in the scalar case, where it is shown to be consistent with Cutkosky rules. Using arguments based on the analiticity properties of the vertex and the box diagrams, we show that Compton scattering is, however, a favourable case and indeed possible disagreements between the two
SOFTLY BROKEN N = 2 QCD a
, 1996
"... We analyze the possible soft breaking of N = 2 supersymmetric YangMills theory with and without matter flavour preserving the analiticity properties of the SeibergWitten solution. We present the formalism for an arbitrary gauge group and obtain an exact expression for the effective potential. We d ..."
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We analyze the possible soft breaking of N = 2 supersymmetric YangMills theory with and without matter flavour preserving the analiticity properties of the SeibergWitten solution. We present the formalism for an arbitrary gauge group and obtain an exact expression for the effective potential. We
Renormalons and the Renormalization Scheme
, 2005
"... The possibility is discussed that existence of renormalon singularities is not the internal property of the specific field theory but depends on the renormalization scheme. According to the recent paper [1], existence or absence of renormalon singularities is related with the analiticity properties ..."
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The possibility is discussed that existence of renormalon singularities is not the internal property of the specific field theory but depends on the renormalization scheme. According to the recent paper [1], existence or absence of renormalon singularities is related with the analiticity properties
For 2D lattice spin systems Weak Mixing Implies Strong Mixing
"... . We prove that for finite range discrete spin systems on the two dimensional lattice Z 2 , the (weak) mixing condition which follows, for instance, from the DobrushinShlosman uniqueness condition for the Gibbs state implies a stronger mixing property of the Gibbs state, similar to the DobrushinS ..."
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Cited by 44 (7 self)
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. We prove that for finite range discrete spin systems on the two dimensional lattice Z 2 , the (weak) mixing condition which follows, for instance, from the DobrushinShlosman uniqueness condition for the Gibbs state implies a stronger mixing property of the Gibbs state, similar to the Dobrushin
Remarks on deformed and undeformed KnizhnikZamolodchikov equations
"... Abstract. Deformed and undeformed KZ equations are considered for k = 0. It is shown that they allow the same number of solutions, one being the asymptotics of others. Essential difference in analitical properties of the solutions is explained. In this paper certain beautiful mathematical structures ..."
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Abstract. Deformed and undeformed KZ equations are considered for k = 0. It is shown that they allow the same number of solutions, one being the asymptotics of others. Essential difference in analitical properties of the solutions is explained. In this paper certain beautiful mathematical
MASCOT/01IMACS/ISGG Workshop IACIstituto per le Applicazioni del Calcolo Contaminant Transport in Porous Media by a Finite Volume Method
"... A cellcentered FiniteVolume method is proposed to solve the unsteady reactive diffusive transport of a contaminant in porous media. Two theoretical properties of the analitical solution, namely nonnegativity and maximum principle, are mentioned and their implication on the approximation method a ..."
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A cellcentered FiniteVolume method is proposed to solve the unsteady reactive diffusive transport of a contaminant in porous media. Two theoretical properties of the analitical solution, namely nonnegativity and maximum principle, are mentioned and their implication on the approximation method
Macdonald's Evaluation Conjectures and Difference Fourier Transform
, 1994
"... This paper contains the proof of the remaining two (the duality and evaluation conjectures). The evaluation conjecture (now a theorem) is in fact a q; tgeneralization of the classic Weyl dimension formula. One can expect interesting applications of this theorem since the socalled qdimensions are ..."
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Cited by 41 (2 self)
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in this paper that one can save this very important property if trigonometric polynomials come together with difference operators. At the moment, it is mostly an algebraic observation (the differenceanalitical aspects were not touched upon). The root systems of ...
Scaling behaviour of leptonic decay constants for heavy quarkonia and heavy mesons
, 1994
"... In the framework of QCD sum rules one uses a scheme, allowing one to apply the conditions of both nonrelativistic heavy quark motion inside mesons and independence of nonsplitting nSstate density on the heavy quark flavours. In the leading order an analitic expression is derived for leptonic consta ..."
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In the framework of QCD sum rules one uses a scheme, allowing one to apply the conditions of both nonrelativistic heavy quark motion inside mesons and independence of nonsplitting nSstate density on the heavy quark flavours. In the leading order an analitic expression is derived for leptonic
Results 1  10
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18