Random Walks on Discrete Spaces

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Related lectures (44)

Multivariate Random Variables Log in to Mediaspace to watch this video

Explores multivariate random variables, joint Gaussian variables, convergence, and the central limit theorem.

Elements of Statistics: Estimation & Distributions Log in to Mediaspace to watch this video

Covers fundamental statistics concepts, including estimation theory, distributions, and the law of large numbers, with practical examples.

Estimating R: Moments of a Distribution Log in to Mediaspace to watch this video

Explains the importance of moments in measuring distribution properties, such as expectation and variance.

Poisson Process: Density Theory and Applications Log in to Mediaspace to watch this video

Explores Poisson processes, joint density, independence of events, and likelihood estimation.

Eigenstate Thermalization Hypothesis Log in to Mediaspace to watch this video

Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.

Normal Distribution: Properties and Calculations Log in to Mediaspace to watch this video

Covers the normal distribution, including its properties and calculations.

Elements of Statistics: Memorylessness, Stationary Processes, Estimation using MLE Log in to Mediaspace to watch this video

Explores memorylessness in distributions, stationary processes, and estimation using MLE.

Estimating R Log in to Mediaspace to watch this video

Covers the estimation of R, including the continuity theorem and limit laws for random variables.

Applications of Quantum Science: Densities and Statistics Log in to Mediaspace to watch this video

Covers the applications of densities and statistics in quantum science, focusing on binomial and Poisson distributions.

Binomial and Poisson Mass Functions Log in to Mediaspace to watch this video

Explores binomial and Poisson mass functions, calculating probabilities and discussing distribution functions of random variables.

Central Limit Theorem Log in to Mediaspace to watch this video

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Estimating R: Marking and Convergence Log in to Mediaspace to watch this video

Covers the estimation of R in Poisson processes, focusing on marking points and convergence.

Stochastic Models for Communications Log in to Mediaspace to watch this video

Covers random vectors, joint probability density, independent random variables, functions of two random variables, and Gaussian random variables.

Law of Large Numbers: Strong Convergence Log in to Mediaspace to watch this video

Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.

Transformations of Continuous Variables Log in to Mediaspace to watch this video

Covers the transformations of continuous random variables and the determinant of Jacobians.

Elements of Statistics: Probability and Random Variables Log in to Mediaspace to watch this video

Introduces key concepts in probability and random variables, covering statistics, distributions, and covariance.

Stochastic Models for Communications Log in to Mediaspace to watch this video

Covers random vectors, stochastic models, functions, matrices, and expectations in communication systems.

Poisson Process: Properties Log in to Mediaspace to watch this video

Covers the properties of Poisson processes, including arrival times and stochastic models for communications.

Poisson Process Mapping Log in to Mediaspace to watch this video

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Estimating R: Convergence of Random Variables Log in to Mediaspace to watch this video

Explores the estimation of R through the convergence of random variables and discusses important convergence modes.

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