Financial Derivatives and Risk Management
Comprehensive exploration of financial derivatives, risk management, and option pricing, covering forwards, futures, hedging strategies, portfolio theory, interest rates, and stochastic processes.
Stochastic Structural Dynamics
Comprehensive exploration of probability, random variables, processes, and vibrations in structural dynamics, covering theory and applications in earthquake engineering and system failure analysis.
Manufacturing Systems Technology Part II
Explore quality engineering, design experiments, and statistical tools for manufacturing. Learn robust design, control charts, and probability distributions to enhance product quality and process efficiency.
Advanced Probability Theory
The course introduces the concept of probability through Kolmogorov’s Axioms. It develops the concept of probability density function, cumulative distribution function, and introduces the concept of a random variable.
From Ronald Ross to ChatGPT: The Birth and Strange Life of the Random Walk
Explore the fascinating history of random walks in mathematics, from mosquito control to AI, and their impact on various fields including physics, finance, and theology.
When to Sell an Asset? A Distribution Builder Approach
Explore optimal asset selling strategies using distribution builder approach, analyzing utility functions, investor behavior, and market dynamics in this mathematical finance lecture.
Dependent Stopping Times and Application to Credit Risk Theory - BQE Lecture Series
Explore dependent stopping times in credit risk theory, covering Cox construction, instantaneous default, and systemic risk measures in financial markets.
Turbulence in Finance - BQE Lecture Series
Explore financial turbulence with Mike Lipkin, covering topics like order drop, rough paths, and hedging strategies in this insightful lecture on advanced quantitative finance concepts.
Basic Statistical Mechanics
The present course will address the basic postulates of Statistical Mechanics and then will show how starting from the basic postulates one builds a formidable framework that can be used to explain phenomena mentioned above.
Statistical Mechanics
The course provides a fundamental understanding of Thermodynamics and Statistical Mechanics. It starts with the fundamental concepts of thermodynamics and builds on its foundation, the principles of statistical mechanics. It does not require a prior expo…
Advanced Thermodynamics and Molecular Simulations
Explore advanced thermodynamics and molecular simulations, covering probability distributions, ensembles, phase equilibria, and computational methods for analyzing complex molecular systems.
Contextual Image Understanding and Scene Identification in Videos - Thesis Defense
Explore image understanding using context, focusing on scene identification and object detection in videos through innovative techniques like Top-Down Visual Tree representation and Random Walk incorporation.
Signals and Systems II
Comprehensive exploration of advanced signal processing concepts, including probability theory, random variables, stochastic processes, and spectral analysis for electrical engineering applications.
Statistical Mechanics - Prof. Dr. Mehmet Tomak
Comprehensive exploration of statistical mechanics principles through 36 lectures, covering fundamental concepts and advanced topics over 12 weeks.
Probability
Explore probability concepts, from basic principles to advanced topics like mutually exclusive events and binomial coefficients, enhancing your statistical analysis skills.
Engineering Probability Lectures, Fall 2018
Comprehensive lecture series on engineering probability, covering fundamental concepts, discrete and continuous random variables, estimation techniques, and hypothesis testing.
Continuum Limit of Moran Birth-Death and Death-Birth Process - Fisher-Waves Speeds
Explore the continuum limit of Moran birth-death and death-birth processes, focusing on Fisher-wave speeds in this 28-minute lecture by Kamran Kaveh from Harvard University. Delve into advanced concepts in mathematical oncology and computational medicine…
Mathematical Modeling of Blood Cancer and Premalignancy
Explore a 33-minute lecture on mathematical modeling of blood cancer and premalignancy presented by Morten Andersen and Jordan Snyder from Roskilde University. Delivered on October 3, 2024, as part of the Ecology and Evolution of Cancer series and the Th…
Estimating Clonal Dynamics Using Coalescent Theory and Branching Processes
Explore a 39-minute lecture on estimating clonal dynamics through coalescent theory and branching processes, delivered by Kit Curtius from the University of California, San Diego. Delve into the intersection of mathematics and oncology as part of the Fie…
Entropy and Curvature of Markov Chains on Metric Spaces
Explore the Peres-Tetali conjecture and its implications for Markov chains in this 57-minute lecture by Justin Salez from the Hausdorff Center for Mathematics. Delve into the relationship between contraction in Wasserstein distance and relative entropy f…
Genetic Composition of Supercritical Branching Populations Under Power Law Mutation Rate
Explore genetic composition in supercritical branching populations, focusing on power law mutation rates and their implications for evolutionary dynamics.