Some martingales in dams with Poisson input and release
Maria Jankiewicz (1984)
Applicationes Mathematicae
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Maria Jankiewicz (1984)
Applicationes Mathematicae
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Ball, Karen (2005)
Electronic Communications in Probability [electronic only]
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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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...
Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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Knill, Oliver (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Alan Weinstein (2000)
Banach Center Publications
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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.
Teugels, Jozef L., Vynckier, Petra (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Jiantao Li (2018)
Czechoslovak Mathematical Journal
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Free Poisson algebras are very closely connected with polynomial algebras, and the Poisson brackets are used to solve many problems in affine algebraic geometry. In this note, we study Poisson derivations on the symplectic Poisson algebra, and give a connection between the Jacobian conjecture with derivations on the symplectic Poisson algebra.
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...
Bru, Bernard (2005)
Journal Électronique d'Histoire des Probabilités et de la Statistique [electronic only]
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Gnedin, Alexander (2008)
Electronic Communications in Probability [electronic only]
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Tamarkin, Dmitry (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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M. Majsnerowska (1998)
Applicationes Mathematicae
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One more method of Poisson approximation is presented and illustrated with examples concerning binomial, negative binomial and hypergeometric distributions.