Functional Analytic Techniques for Diffusion Processes

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The book serves as an accessible reference that connects functional analysis, partial differential equations, and probability through the lens of diffusion processes. It navigates the intersection of these mathematical disciplines, offering insights into elliptic boundary value problems from a stochastic perspective. By bridging macroscopic, mesoscopic, and microscopic approaches, it enhances the reader's understanding of the complexities involved in diffusion processes.