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Related lectures (22)
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Maximum Entropy Principle: Stochastic Differential Equations
Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.
Girsanov: Martingales and Brownian Motion
Explores martingales, Brownian motion, and measure transformations in probability theory.
Ito's Lemma: Variants and Proofs
Covers Ito's Lemma variants and proofs, demonstrating equality and convergence in probability.
Stochastic Calculus: Integrals and Processes
Explores stochastic calculus, emphasizing integrals, processes, martingales, and Brownian motion.
Asset Pricing: Dynamic Arbitrage Pricing & Black-Scholes Formula
Explores asset pricing theorems and the Black-Scholes formula derivation in discrete time economies.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
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Fokker-Planck Equation: Derivations and Applications
Explores the derivation of the Fokker-Planck equation and its applications in stochastic differential equations.
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Thermalization and Information Loss
Explores thermalization, ETH testing in spin chains, information loss in black holes, and challenges in quantum gravity.