Branching Processes: Networks, Genealogy, Avalanche

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Delves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.

Explores common probability distributions, special distributions, and entropy concepts.

Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.

Explores the Stein algorithm for polynomial identity testing and the minimization of a cut problem.

Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.

Covers the Stochastic Block Model for community detection, focusing on the detection of communities, clusters, and groups.

Explores network formation through random connection models and node degree distribution.

Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.

Explores galaxy cluster components, historical discoveries, X-ray and radio emissions, and gravitational lensing effects.

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