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Computing Partition Functions, Part I

Offered By: Simons Institute via YouTube

Tags

Statistical Physics Courses Algorithms Courses Theoretical Computer Science Courses Phase Transitions Courses

Course Description

Overview

Explore the fundamental concepts of computing partition functions in this comprehensive lecture from the Geometry of Polynomials Boot Camp. Delve into the Ising model and easement model, understanding their significance in statistical physics. Discover the importance of partition functions and their role in describing phase transitions. Learn about the Li Yang Theorem and its proof, including inductive reasoning and random algorithms. Gain insights into Markov Chain Monte Carlo methods and their applications in computational physics.

Syllabus

Intro
Spin System
Easement Model
Example
Why Partition Functions are Important
Computing Partition Functions
Phase Transitions
Proof of Phase Transitions
Li Yang Theorem
Li Yang Joke
Proof
Inductive
Random Algorithms
Markov Chain Monte Carlo


Taught by

Simons Institute

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