Information Measures: Part 2

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

Information Theory: Review and Mutual Information

Reviews information measures like entropy and introduces mutual information as a measure of information between random variables.

Linear Transformations: Kernel and Image

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

Random Walks and Moran Model in Population Genetics

Explores random walks, Moran model, bacterial chemotaxis, entropy, information theory, and coevolving sites in proteins.

Maximal Correlation: Information Measures

Explores maximal correlation in information theory, mutual information properties, Renyi's measures, and mathematical foundations of information theory.

Mutual Information: Continued

Explores mutual information for quantifying statistical dependence between variables and inferring probability distributions from data.

Density Operator: Quantum Physics II

Covers the concept of matrix to the density operator in quantum physics.

Entropy and Mutual Information

On entropy and mutual information explores quantifying information in data science through probability distributions.

Quantum Information: Density Matrices

Explores density matrices, quantum states representation, and entropy in quantum information.

Linear Algebra: Rank Theorem

Explores the Rank Theorem in linear algebra, covering matrix properties and determinants.