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US-India Advanced Studies Institute: Classical and Quantum Information
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Why do simple models work? Partial answers from information geometry Lecture 1
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Overview Slides ICTS Winter School: Classical and Quantum Information
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Overview
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Why do models work?
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Why is physics comprehensible?
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Outline for today
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Graph
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Calculate the metric again for nonlinear squares
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Coordinate transform
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Graphs
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Reasonable microscopic model
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Eigen vector corresponds to Eigen value
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Two-dimensional Ising Model
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Coordinate system
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Diffusion equation
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Partition function
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Exercise
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The Ising model after coarsening
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Q&A
Description:
Explore the fundamental question of why simple models are effective in physics and biology through this lecture on information geometry. Delve into topics like thermodynamics of information processing, coding in statistical mechanics, and quantum information in extended systems. Examine concepts such as the renormalization group, information theory applications, and the emergence of useful parameters in complex systems. Follow along as the lecturer covers graph theory, nonlinear squares, coordinate transforms, microscopic models, eigenvectors, the Ising model, diffusion equations, and partition functions. Gain insights into how information theory and computational complexity characterize low-energy landscapes and govern physical behaviors like glassy phenomena. Suitable for advanced graduate students, post-docs, and junior researchers in statistical physics, biological physics, and quantum information theory.

Why Do Simple Models Work? Partial Answers from Information Geometry - Lecture 1

International Centre for Theoretical Sciences
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