Results 111 to 120 of about 5,933,118 (327)
Spectral distributions and some Cauchy problems
Applied Mathematics Letters, 1999 A representation of the solution of the Cauchy problem when the operator admits a spectral distribution is given in this paper. The main theorem states: If \(B\) is the momentum of a spectral distribution \({\mathcal E}\) of degree \(k\), then for every \(x\in D(B^{k+1})\), \(s\in R\), \(u(s)= {\mathcal E}(t\mapsto (\lambda- t)^{- k-1}e^{ist})(\lambda-
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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Cauchy stress in mass distributions
, 2001 The thermodynamic definition of pressure P = dU/dV is one form of the principle that in a given state, the mass in V and potential are proportional. Subject of this communication is the significance of this principle for the understanding of Cauchy stress.
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, EarlyView.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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ON PAIRS OF RANDOM VARIABLES WHOSE SUM FOLLOWS THE CAUCHY DISTRIBUTION [PDF]
, 1970 Elżbieta Rosłonek
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Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, EarlyView.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
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Predicting the Uniform Electron Gas Stopping Power at Moderate and Strong Coupling
Contributions to Plasma Physics, EarlyView.ABSTRACT This paper presents a detailed study of the stopping power of a homogeneous electron gas in moderate and strong coupling regimes using the self‐consistent version of the method of moments as the key theoretical approach capable of expressing the dynamic characteristics of the system in terms of the static ones, which are the moments.
Saule A. Syzganbayeva +8 more
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Kumaraswamy-Half-Cauchy Distribution: Characterizations and Related Results
, 2015 We present various characterizations of a recently introduced distribution (Ghosh 2014), called KumaraswamyHalf- Cauchy distribution based on: (i) a simple relation between two truncated moments; (ii) truncated moment of certain function of the 1 st ...
G. Hamedani, I. Ghosh
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