A deterministic displacement theorem for Poisson processes.
Knill, Oliver (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Knill, Oliver (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Maria Jankiewicz (1984)
Applicationes Mathematicae
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Hilda Geiringer (1959/60)
Mathematische Zeitschrift
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Xavier Bardina, Carles Rovira, Samy Tindel (2002)
Applicationes Mathematicae
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We find the asymptotic behavior of P(||X-ϕ|| ≤ ε) when X is the solution of a linear stochastic differential equation driven by a Poisson process and ϕ the solution of a linear differential equation driven by a pure jump function.
H. Wegmann (1983)
Journal für die reine und angewandte Mathematik
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Gnedin, Alexander (2008)
Electronic Communications in Probability [electronic only]
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Jinn-Liang Liu, Dexuan Xie, Bob Eisenberg (2017)
Molecular Based Mathematical Biology
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We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation efects in electrolyte solutions. The formulation is based on the volume exclusion of hard spheres leading to a steric potential and Maxwell’s displacement field with Yukawa-type interactions resulting in a nonlocal electric potential. The classical Poisson-Boltzmann model fails to describe steric and correlation...
Teugels, Jozef L., Vynckier, Petra (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Alan Weinstein (2000)
Banach Center Publications
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Robert Stańczy (2008)
Banach Center Publications
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The existence of steady states in the microcanonical case for a system describing the interaction of gravitationally attracting particles with a self-similar pressure term is proved. The system generalizes the Smoluchowski-Poisson equation. The presented theory covers the case of the model with diffusion that obeys the Fermi-Dirac statistic.
Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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