【摘 要】
：
Ordinary fractal dimensions such as Hausdorff dimension and packing dimension are useful for analyzing the(microscopic)geometric structures of various thin
【机 构】
：
University of Utah,USA
【出 处】
：
The 11th Workshop on Markov Processes and Related topics(第十一
论文部分内容阅读
Ordinary fractal dimensions such as Hausdorff dimension and packing dimension are useful for analyzing the(microscopic)geometric structures of various thin sets and measures.For studying(macroscopic or global)fractal phenomena of discrete sets,such as percolation clusters,Barlow and Taylor(1989,1992)introduced the notions of discrete Hausdorff and packing dimensions.These dimensions have been applied to study random walks and random walks in random environment.In this talk we present some recent results on multifractal properties(in terms of discrete fractal dimensions)of random sets associated with Brownian motion,the Ornstein-Uhlenbeck processes and stochastic partial differential equations.
其他文献
In this talk,we prove a log-Sobolev inequality with explicit potential for the gradient on a based loop space over the hyperbolic space Hn(c).And the potent
In this talk,we survey some results on uniqueness of solutions for various problems from population models.First,we will study the characterization of the c
In this talk,we will provide a point estimate for integrals on the real line,based on the standard Brownian motion.The consistency of the estimator and limi
Consider the stochastic evolution equation in a separable Hilbert space H with a nice multiplicative noise and a locally log-Holder continuous drift b : [0,
In this talk,I will present our recent progress on characterising the pathindependence of the Girsanov transformation for SDEs with jumps.Extension to stoch
The existence-uniqueness and stability of strong solutions are proved for a class of degenerate stochastic differential equations,where the noise coeffcicie
We show that the point process of signal strengths from transmitters in a wireless network observed from a fixed position can be well-approximated by an inh
In this talk,I will present a recent result on oscillation reduction of quotients of positive harmonic functions of subordinate Brownian motions.I will also
In this talk,we introduce some recent progresses on random walk with unbounded jumps in random environment.The environment is stationary and ergodic,uniform
This talk focuses on multi-scale stochastic systems with random switching and diffusion.The multi-scale formulation is highlighted by two small parameters