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The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry.

This volume covers theoretical, numerical and applied aspects of stochastic processes and stochastic differential equations. The study is motivated in part by the need to model, understand, forecast and control the behavior of many natural phenomena that evolve randomly in time.

Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.