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On SLE martingales in boundary WZW models      SLE martingales  boundary WZW models        font style='font-size:12px;'> 2011/1/21
Following [3], we consider the boundary WZW model on a half–plane with a cut growing according to the Schramm–Loewner stochastic evolution and the boundary fields inserted at the tip of the cut and a...
The main result of this note is Theorem 7 below. The main interest is the array of new Bellman function, very different from Burkholder’s function.
Donald Burkholder's work in martingales and analysis      Donald Burkholder's work  martingales  analysis        font style='font-size:12px;'> 2011/2/24
The two mathematicians who have most advanced martingale theory in the last seventy years are Joseph Doob and Donald Burkholder. Martingales as a remarkably flexible tool are used throughout probabili...
Let L be a linear space of real bounded random variables on the probability space ( ,A, P0). There is a finitely additive probability P on A, such that P ∼ P0 and EP (X) = 0 for all X ∈ L.
In the \positive interest" models of Flesaker and Hughston, the nominal discount bond system is determined by the speci cation of a one-parameter family of positive martingales.
Exactly solvable Schrödinger operators      Schrö  dinger operators        font style='font-size:12px;'> 2010/11/29
We systematically describe and classify 1-dimensional Schr¨odinger equations that can be solved in terms of hypergeometric type functions. Beside the well-known families, we explicitly describe 2 new ...
Regularity and blow up for active scalars      Regularity  blow up  active scalars        font style='font-size:12px;'> 2010/11/29
We review some recent results for a class of fluid mechanics equations called active scalars, with fractional dissipation. Our main examples are the surface quasi-geostrophic equation, the Burgers equ...
A note on Mahler's conjecture      convex bodies  volume product  Mahler’s conjecture       font style='font-size:12px;'> 2010/12/8
Let K be a convex body in Rn with Santal´o point at 0. We show that if K has a point on the boundary with positive generalized Gauß curvature, then the volume product |K||K◦| is not ...
In the context of Markovian evolution, we present two original approaches to obtain Generalized Fluctuation-Dissipation Theorems (GFDT), by using the language of stochastic derivatives and by using a ...
Our purpose is to investigate properties for processes with stationary and independent increments under G-expectation. As applications,we prove the martingale characterization to G-Brownian motion and...
We investigate the speed of approach to Maxwellian equilibrium for a collisionless gas enclosed in a vessel whose wall are kept at a uniform,constant temperature, assuming diffuse reflection of gas mo...
A thin-thick Decomposition for Hardy Martingales      Hardy Martingales  Martingale Inequalities  Complex Convexity       font style='font-size:12px;'> 2010/12/8
We prove thin-thick decompositions, for the class of Hardy martingales and thereby strenghten its square function characterization. We apply the underlying method to several classical martinale inequa...
广义鞅变换算子的p-Amemiya范数不等式及其应用     鞅变换  p-Amemiya范数  p一致凸性  q一致光滑性       font style='font-size:12px;'> 2012/11/22
证明了一类广义鞅变换算子的p-Amemiya范数不等式.作为其应用又给出了证明B值鞅的极大函数与p阶均方函数的p-Amemiya范数不等式的一种新方法,其结果刻画了Banach空间的p一致凸性和q一致光滑性.
房产价格服从一般Ito^过程的保证险定价     住房抵押贷款  保证险  期权  鞅定价  保险精算定价       font style='font-size:12px;'> 2012/11/30
假设未偿付额为常数且房产价格服从一般的Ito^过程,得到了2类住房抵押贷款保证险的传统鞅定价公式和保险精算定价公式,并证明了2种方法的定价结果是完全一致的.

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