Computing leading eigenvalues of the transfer operator

Related lectures (30)

Page 1 of 3

Explores the construction of the Lebesgue function on the Cantor set and its unique properties.

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.

Explores the Hausdorff dimension of Brownian motion zeros, demonstrating a dimension of 1/2 with certainty.

Introduces measurable sets, functions, and the Cantor set properties, including ternary development of numbers.

Explores transfer operators, Patterson-Sullivan measure, FUP, spectral gaps, and resonances in Schottky groups.

Discusses eigenvalues, their calculation methods, and their applications in optimization and numerical analysis.

Explores a change of variable formula and the intriguing Devil's Staircase.

Explores eigenvalues, eigenvectors, and methods for solving linear systems with a focus on rounding errors and preconditioning matrices.

Explores computational methods in quantum physics, emphasizing exact diagonalization and space discretization techniques.

Covers the analysis of linear systems, focusing on methods such as Jacobi and Richardson for solving linear equations.