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Analogues of Weyl’s Formula for Reduced Enveloping Algebras
Module reduce enveloping algebra dimension formula the hyperplane affine cells
2014/12/29
In this note we study simple modules for a reduced enveloping algebra Ux (g) in the critical case when X E 2 g^x is “nilpotent”. Some dimension formulas computed by Jantzen suggest modified versions o...
The Pythagorean Won-Loss Formula and Hockey: A Statistical Justification for Using the Classic Baseball Formula as an Evaluative Tool in Hockey
The Pythagorean Won-Loss Formula Hockey Statistical Justification Baseball Formula Evaluative Tool
2012/9/17
Originally devised for baseball, the Pythagorean Won-Loss formula estimates the percentage of games a team should have won at a particular point in a season. For decades, this formula had no mathemat...
On a Taylor formula for a class of Ito processes
a Taylor formula a class of Ito processes
2009/9/24
In the paper a stochastic generalization of the Taylor
formula for It6 processes of diffusion type is investigated with respect
to mean square, almost sure and weak convergence.
Skorokhod problem - elementary proof of the Azema-Yor formula
Skorokhod problem - elementary proof the Azema-Yor formula
2009/9/24
Skorokhod problem - elementary proof of the Azema-Yor formula。
A functional calculus based on Feynman-Kac formula
A functional calculus Feynman-Kac formula
2009/9/23
A functional calculus based on Feynman-Kac formula。
A stochastic Taylor formula for two-parameter stochastic processes
A stochastic Taylor formula two-parameter stochastic processes
2009/9/23
The purpose of the present paper is to prove a stochastic
Taylor formula for two-parameter processes which extends the
results of W. Wagner and E. Platen in the one-parameter case
(6. C51-C71).
The infinite divisibility and orthogonal polynomials with a constant recursion formula in free probability theory
The infinite divisibility orthogonal polynomials a constant recursion formula
2009/9/21
We calculate Voicdescu's R-transform of the compactly
supported probability measure on R induced from the orthogonal
polynomials with a constant recursion formula, and investigate its
infinite divi...
EXPONENTIAL FORMULA RELATED TO THE GAUSS SEMIGROUP
Gauss semigroup exponential semigroup generator of Co-semigroup
2009/9/18
For the second derivative, an analogue of the classical
Taylor's formula i s considered on a suitable function space. The sum of
the "Taylor series" represents the Gauss semigroup. This may be usefu...
An anticipating Itô formula for Lévy processes
canonical Levy space chaos decomosition for square-integrable random variables derivatives in the future sense on the Wiener space
2009/6/12
In this paper,we use the Malliavin calculus techniques to obtain an
anticipative version of the change of variable formula forLevy processes.Here th
coefficients are in the domain of the anihilation...
Let A be an arc on the boundary of the unit disk U. We prove an asymptotic formula for the probability that there is a percolation cluster K for critical site percolation on the triangular grid in U w...
A short proof of the Hausdorff dimension formula for Levy processes
Levy processes Hausdor dimension range
2009/4/22
A different but very short proof of a recent result of Khoshnevisan.
A short proof of the Hausdorff dimension formula for Levy processes
Hausdorff dimension formula Levy processes Khoshnevisan
2009/4/2
A different but very short proof of a recent result of .
It was proved by Michel Talagrand in [10] that the Parisi formula for the free energy in the Sherrington-Kirkpatrick model is differentiable with respect to inverse temperature parameter. We present a...
A Clark-Ocone formula in UMD Banach spaces
Clark-Ocone formula probability space UMD Banach space
2009/3/19
Let H be a separable real Hilbert space and let F = (Ft)t in [0,T] be the augmented filtration generated by an H-cylindrical Brownian motion WH on [0,T] on a probability space (Ω,F,P). We prove that i...
A recursion formula for expected negative and positive powers of the central Wishart distribution
Haff’s Fundamental Identity matrix differentiation central Wishart distribution
2009/2/23
We use Haff’s fundamental identity to express the expectation of Sp in lower-order terms, where Sfollows the central Wishart distribution.