Spectral radius

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Linear Algebra: Quantum Mechanics

Explores the application of linear algebra in Quantum Mechanics, emphasizing its importance in understanding materials properties.

Functional Analysis I

Covers eigenvectors, spectral theorems, and finite sequences in functional analysis.

Sturm-Liouville Problem: Homogeneous Boundary Conditions Essential Role

Explores the Sturm-Liouville eigenvalue problem, emphasizing the essential role of boundary conditions in ensuring self-adjointness and forming an orthogonal basis.

Linear Algebra: Quantum Mechanics

Covers the application of linear algebra concepts to Quantum Mechanics, including spectral theorem and Brillouin zone.

Functional Analysis I: Spectral Theorem

Covers the spectral theorem, orthanormal sequences, and bounded linear operators in Hilbert spaces.

Symmetric Matrices and SVD Decomposition

Discusses properties of symmetric matrices and the Spectral Theorem.

Linear Algebra: Unitary Operators

Delves into unitary operators, self-adjoint properties, and spectral theorems in linear algebra.

Symmetric Matrices, Eigenvalues, Eigenvectors, Spectral Theorem

Explores symmetric matrices, eigenvalues, eigenvectors, and the spectral theorem in linear algebra.

Thermodynamic Formalism for Dispersing Billiards

Explores the thermodynamic formalism for dispersing billiards, covering topological entropy, weight functions, and fragmentation lemmas.

Low Rank Approximations

Explores low rank approximations, spectral theorems, and orthogonality in matrices.