This volume contains 27 refereed research articles and survey papers written by experts in the field of stochastic analysis and related topics. Most contributors are well known leading mathematicians worldwide and prominent young scientists. The volume reflects a review of the recent developments in stochastic analysis and related topics. It puts in evidence the strong interconnection of stochastic analysis with other areas of mathematics, as well as with applications of mathematics in natural and social economic sciences. The volume also provides some possible future directions for the field.

Invariant Gibbs Measures for the 2D Vortex Motion of Fluids (S Albeverio & B Ferrario) Limit Laws for Sums of Random Exponentials (G B Arous et al.) Stochastic Models of Economic Optimization (M-F Chen) Essential Spectrum on Riemannian Manifolds (K D Elworthy & F-Y Wang) L?y Process on Real Lie Algebras (U Franz) Wick Rotation for Holomorphic Random Fields (H Gottschalk) Stochastic Mollifier and Nash Inequality (R L?ndre) Precise Estimations Related to Large Deviations (S Liang) Stochastic Holonomy (I Mitoma) Independence and Product Systems (M Skeide) and other papers

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