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Infinitesimal generator (stochastic processes)
Formal sciences
Mathematics
Probability theory
Stochastic processses
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Related lectures (14)
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Applied Probability and Stochastic Processes: Tutorial 02
Covers communicating classes, hitting time, probabilities, and the Gambler's Ruin Model in stochastic processes.
Stochastic Processes: Brownian Motion
Explores Brownian motion, Langevin equations, and stochastic processes in physics.
Maximum Entropy Principle: Stochastic Differential Equations
Explores the application of randomness in physical models, focusing on Brownian motion and diffusion.
Martingales and Brownian Motion
Discusses convergence, martingales, Brownian motion, joint laws, testing procedures, and stop times.
Fourier Transform and Spectral Densities
Covers the Fourier transform, spectral densities, Wiener-Khinchin theorem, and stochastic processes.
Stochastic Models for Communications: Continuous-Time Stochastic Processes - Stationarity
Explores the concept of stationarity in continuous-time stochastic processes and its implications.
Stochastic Calculus: Itô's Formula
Covers Stochastic Calculus, focusing on Itô's Formula, Stochastic Differential Equations, martingale properties, and option pricing.
Optimal Stopping Problems: Theory and Applications
Covers optimal stopping problems in applied probability and stochastic processes, focusing on theory and practical applications.
Untitled
Conformal Loop Ensembles: Perspectives and Applications
Covers conformal loop ensembles and their applications in conformal field theory and quantum gravity.
Quantum Length of SLE: Natural Parameterization and Properties
Covers the quantum length of SLE and its natural parameterization, exploring key properties and relationships with random planar maps.
Markov Chains: Definition and Examples
Covers the definition and properties of Markov chains, including transition matrix and examples.
Random Walks: Return Probabilities in Multiple Dimensions
Covers the analysis of random walks and their return probabilities in multiple dimensions.
Characterization of Stochastic Processes: Theory and Applications
Covers the characterization of stochastic processes, focusing on their mathematical foundations and real-world applications.
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