搜索结果: 1-9 共查到“数学 Levy processes”相关记录9条 . 查询时间(0.094 秒)
Martingale transform and Levy Processes on Lie Groups
Martingale transform Levy Processes Lie Groups Probability
2012/6/29
This paper constructs a class of martingale transforms based on L\'evy processes on Lie groups. From these, a natural class of bounded linear operators on the $L^p$-spaces of the group (with respect t...
Asymptotic behaviour of first passage time distributions for Levy processes
Levy processes first passage time distribution local limit theorems fluctuation theory
2011/9/19
Abstract: Let $X$ be a real valued L\'evy process that is in the domain of attraction of a stable law without centering with norming function $c.$ As an analogue of the random walk results in \cite{vw...
On the density of exponential functionals of Levy processes
Levy processes exponential functional subordinators self-similar Markov processes
2011/9/14
Abstract: In this paper, we study the existence of the density associated to the exponential functional of the L\'evy process $\xi$, \[ I_{\ee_q}:=\int_0^{\ee_q} e^{\xi_s} \, \mathrm{d}s, \] where $\e...
Finite Variation of Fractional Levy Processes
finite variation fractional integration fractional L´ evy process
2011/3/1
Various characterizations for fractional L´evy process to be of finite variation are obtained, one of which is in terms of the characteristic triplet of the driving L´evy process, while ot...
Fluctuations of stable processes and exponential functionals of hypergeometric Levy processes
Hypergeometric L´ evy processes Lamperti-stable processes exponential functional
2011/1/18
We study the distribution and various properties of exponential functionals of hypergeometric
L´evy processes. We derive an explicit formula for the Mellin transform of the exponential function...
On the distribution of exponential functionals for Levy processes with jumps of rational transform
exponential functionals Levy processes rational transform
2010/11/22
We derive explicit formulas for the Mellin transform and the distribution of the exponential functional for Levy processes with rational Laplace exponent. This extends recent results by Cai and Kou o...
n this paper we introduce homogeneous multiplicative functionals of Levy processes and investigate their bivariate Revuz measures. We also prove that the sector condition will be inherited by suly-Lvy...
Path-wise solutions of SDE's driven by Levy processes
Path-wise solutions SDE's Levy processes
2010/10/29
In this paper we show that a path-wise solution to the following integral equation $$ Y_t = \int_0^t f(Y_t) dX_t \qquad Y_0=a \in \R^d $$ exists under the assumption that X_t is a L\'evy process of f...
We prove that the stochastic differential equation $$ Y_{s,t}(x) = Y_{s,s}(x) + \int_0^{t-s} f(Y_{s,s+u}(x)) dX_{s+u},
Y_{s,s}(x)=x\in\R^d. $$ driven by a L\'evy process whose paths have finite p-va...