Lectures related to Continuous Time Markov Chains

Classification and Recurrence/Transience

Explores classification, communication, and irreducibility in Markov chains.

Recurrence and transience in markov chains

Explores the concepts of recurrence and transience in continuous time Markov chains.

Discrete-Time Markov Chains: Reversible Chains

Covers reversible discrete-time Markov chains in communication models.

Covers hitting probabilities in Markov chains with disjoint subsets, the function h(i), theorems, proofs, and expected time to hit calculations.

Lower Bound on Total Variation Distance

Explores the lower bound on total variation distance in Markov chains and its implications on mixing time.

Markov Chains: States Classification

Explores the classification of states in Markov chains, emphasizing equivalence classes and periodicity.

Communication Amid Uncertainty

Explores challenges in human communication, context importance, compression problems, uncertain functionality, and proof verification.

Algorithms & Growth of Functions

Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Markov Chains: Recurrence and Transience

Explores recurrence, transience, and invariant distributions in Markov chains with proofs and examples.

Markov Chains: Applications and Coupled Chains

Covers Markov chains, coupled chains, and their applications, emphasizing the importance of irreducibility.

Proofs: Logic, Mathematics & Algorithms

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Conceptual Design: Applied Mechanical Design

Explores the conceptual design process, concept selection, embodiment, and detail design in applied mechanical design.

The Art of Science Communication

Emphasizes the importance of science communication, focusing on gaining support, building trust, and addressing misinformation.

Ergodic Theory: Markov Chains

Explores ergodic theory in Markov chains, discussing irreducibility and unique stationary distributions.

Mathematical Rigor and Course Organization

Emphasizes mathematical rigor, clear communication, and exercise organization in teaching methods.

Site Selection and Communication in Environmental Impact Studies

Explores site selection challenges, stakeholder communication, and risks in environmental impact studies, using a case study from Cameroon and Nigeria.

Applied Probability & Stochastic Processes

Covers applied probability, Markov chains, and stochastic processes, including transition matrices, eigenvalues, and communication classes.

Diversity and Inclusion at ENAC

Explores efforts to increase diversity and inclusion at ENAC, emphasizing an inclusive environment and support mechanisms.

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Recurrence and Transience: Markov Chains

Explores recurrence and transience in Markov chains, discussing the strong Markov property and state classifications.