Self-Avoiding Random Walks

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Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Explores dimensional analysis of large explosions using recorded images to predict outcomes based on known parameters.

Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.

Covers polygonal lines, polygons, separation of the plane, and triangle distances.

Explores the Fokker-Planck and KPZ equations in stochastic processes and random growth models.

Covers the Stochastic Block Model and its application in community detection, exploring its mathematical formulation and challenges.

Discusses the residue theorem and its applications in calculating complex integrals.

Explores the historical and mathematical significance of Euclidean Division and the Divine Proportion in geometry and art.

Explores uncertainty quantification using Quasi Monte Carlo methods and discrepancy measures for integral approximation and volume estimation.

Discusses maximal internal containing intervals and their properties in mathematical calculations.