Search for dissertations about: "semimartingale"
Found 2 swedish dissertations containing the word semimartingale.
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1. Contributions to Numerical Solution of Stochastic Differential Equations
Abstract : This thesis consists of four papers: Paper I is an overview of recent techniques in strong numerical solutions of stochastic differential equations, driven by Wiener processes, that have appeared the last then 10 years, or so. Paper II studies theoretical and numerical aspects of stochastic differential equations with so called volatility induced stationarity. READ MORE
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2. A Differentiable Approach to Stochastic Differential Equations : the Smoluchowski Limit Revisited
Abstract : In this thesis we generalize results by Smoluchowski [43], Chandrasekhar[6], Kramers, and Nelson [30]. Their aim is to construct Brownian motion as a limit of stochastic processes with differentiable sample paths by exploiting a scaling limit which is a particular type of averaging studied by Papanicolao [35]. READ MORE