Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 4 of 4 for “"first exit time."”.
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First Exit Time Analysis for the Stochastic Reaction Diffusion Process in a One Dimensional Domain
… simulation results, particularly when estimating first exit times. This thesis addresses this research gap by investigating the accuracy of first exit time estimates in one-dimensional stochastic RD systems. We design and analyze three simplified models using stochastic simulations: (1) model 1: …
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The Exit Time Distribution for Small Random Perturbations of Dynamical Systems with a Repulsive Type Stationary Point
… stationary point at the origin O. We obtain an exit law for the first exit time of the solution process from a ball of arbitrary radius centered at the origin, which involves additive scaling as in Day (1995). The form of the scaling constant is worked out and shown to depend on the structure of …
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Inequalities for Random Walk and Partially Observed Brownian Motion
This thesis is divided into two parts. The first part studies the control of the maximal function of N-dimensional Brownian motion, B(,t), by the maximal function of partially observed Brownian motion. Let R denote a fixed open subset of (//R)('N), G an arbitrary open subset, and T the first exit …
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Thick points of random walk and multiplicative chaos
… theory, called Gaussian multiplicative chaos. Firstly, in two dimensions, we answer a question of Dembo, Peres, Rosen and Zeitouni and compute the number of thick points of planar random walk, assuming that the increments are symmetric and have a finite moment of order two. The proof provides a …