Lectures related to Polymer Theory: End-to-End Distance

Covers advanced probability concepts, including random variables and expected value calculation.

Principles of Quantum Mechanics: Wave-Particle Dualism

Explores the wave-particle dualism in quantum mechanics and the quantification of energy levels in atoms.

Explores quantum mechanics, emphasizing the harmonic oscillator and particle confinement in a box.

Introduces basic observables and simple models in polymer science, emphasizing the importance of reproducible measurements and discussing the concept of one-dimensional polymers.

Random Variables and Expected Value

Introduces random variables, probability distributions, and expected values through practical examples.

Hydrologic and Hydraulic Design

Explores the design of engineering works for floods, focusing on 100-year flood determination and the collapse of levees during extreme events.

Elements of Statistics: Probability and Random Variables

Introduces key concepts in probability and random variables, covering statistics, distributions, and covariance.

Max Entropy and Monte Carlo

Explores max entropy, Shannon's entropy, Lagrange multipliers, and Monte Carlo sampling techniques.

Sampling a Probability Distribution

Explores sampling a probability distribution and structure functions in statistical analysis.

Mc Diarmid's Inequality

Covers Mc Diarmid's inequality and its applications in probability and martingale theory.

Natural Language Generation: Decoding Techniques and Training Challenges

Covers decoding methods and training challenges in natural language generation.

Stochastic Block Model

Covers the Stochastic Block Model and its application in community detection, exploring its mathematical formulation and challenges.

Probability Distributions in Environmental Studies

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

Probability Distributions

Covers various probability distributions and their applications in real-world scenarios.

Random Matrix Theory: Replica Method

Covers random matrix theory and the replica method to compute quantities related to non-hermitic series using the Stieltjes transform.

Polymer Modeling: Interactions and Scaling Behavior

Explores polymer modeling, interactions, and scaling behavior of real polymers.

Levy Flights and Central Limit Theorem

Covers Levy flights, Central Limit Theorem, and Mesoscopic Master Equation with transition rates in an assurance system.

Discrete Random Variables: Functions and Distributions

Introduces probability mass functions for discrete random variables and various distributions, emphasizing the calculation of expectations.

Canonical Ensemble: Probability Distribution

Explores the probability distribution in the canonical ensemble and the Boltzmann distribution.

Random Walks: Return Probabilities in Lattice Dimensions

Covers random walks on a lattice, focusing on return probabilities and their dependence on dimensionality.