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Self-Avoiding Random Walks
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Related lectures (30)
Elliptic Problems
Covers the concept of elliptic problems and their applications in various scenarios.
Mathematical Rigor and Course Organization
Emphasizes mathematical rigor, clear communication, and exercise organization in teaching methods.
Extended Josephson Junctions: Modeling and Critical Current
Covers the magnetic thickness, short and long junctions, and critical current.
Polygons & Polyhedra: Regular & Starred
Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.
Universality and Rotational Invariance in Isoradial Graphs
Covers universality and rotational invariance in isoradial graphs and their implications in statistical mechanics.
Duplication of the Cube
Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.
Dimensional Analysis of Explosions
Explores dimensional analysis of large explosions using recorded images to predict outcomes based on known parameters.
Polygonal Lines: Definitions and Examples
Covers polygonal lines, polygons, separation of the plane, and triangle distances.
Fokker-Planck & KPZ Equations
Explores the Fokker-Planck and KPZ equations in stochastic processes and random growth models.
Stochastic Block Model
Covers the Stochastic Block Model and its application in community detection, exploring its mathematical formulation and challenges.
Geometric Meanings: Euclidean Division and Divine Proportion
Explores the historical and mathematical significance of Euclidean Division and the Divine Proportion in geometry and art.
Maximal Internal Containing Interval
Discusses maximal internal containing intervals and their properties in mathematical calculations.
Epidemic Spreading Models
Covers classical models of epidemic spreading and dynamics on networks with examples.
Spin Glasses: Fully Connected
Covers the basics of spin glasses and the mathematical equations used to model them.
Pen-and-paper exercises: Session 4
Focuses on pen-and-paper exercises in computational analysis and problem-solving strategies.
Engineering model for capillary sorption
MOOC: Sorption and transport in cementitious materials
Presents an engineering model for capillary sorption in cementitious materials, focusing on simple experimental analysis and mathematical formulations.
Oil Convection Study
Studies the convection of oil in a baking dish.
Arc Length Approximation
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Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.
Involutes and Bezier Curves
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Explores involutes and Bezier curves, essential in computer-aided design.
Geometric Expansion of Crom-Conrelation
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Explores the geometric expansion of the crom-conrelation, focusing on mathematical formulas and correlation analysis.
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