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Stochastic Quantization, Stochastic Calculus and Path Integrals: Selected Topics

Stochastic Quantization, Stochastic Calculus and Path Integrals: Selected Topics

§ 1. Introduction § 2. Some tools from stochastic calculus 2.1.Ito and Stratonovich integrals 2.2.The algebra of stochastic differentials 2.3.The change of variable formula ( Girsanov formula) 2.4.Weak solutions of stochastic differential equations • 2.5.The invariant measure 2.6.Large deviations § 3. Stochastic quantization of P( ¢)2 • 3.1.The non-perturbative construction …