Explores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.
Covers correlation and cross-correlations in air pollution data analysis, including time series, autocorrelations, Fourier analysis, and power spectrum.
Explores signal processing fundamentals, including discrete time signals, spectral factorization, and stochastic processes.
Covers the Metropolis-Hastings algorithm and gradient-based approaches for biasing searches towards higher likelihood values.
Explores phase transitions in the Ising model, mean magnetization, susceptibility, critical exponents, and the universality of critical exponents.
Explains estimation, correlation, and Pearson correlation in statistics, focusing on measuring and describing relationships between variables.
