A survey on Nambu-Poisson brackets.
Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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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...
G. K. Eagleson (1976)
Časopis pro pěstování matematiky
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Alexander C. R. Belton (2006)
Banach Center Publications
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The coefficients of the moments of the monotone Poisson law are shown to be a type of Stirling number of the first kind; certain combinatorial identities relating to these numbers are proved and a new derivation of the Cauchy transform of this law is given. An investigation is begun into the classical Azéma-type martingale which corresponds to the compensated monotone Poisson process; it is shown to have the chaotic-representation property and its sample paths are described. ...
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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Frank B. Knight (1986)
Séminaire de probabilités de Strasbourg
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Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
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Alan Weinstein (2000)
Banach Center Publications
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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...
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.
Tamarkin, Dmitry (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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