Lectures related to Minkowski–Bouligand dimension

Complex Systems: Epidemics

Delves into complex systems, strange attractors, and epidemics, emphasizing the influence of psychological factors and the role of contagion.

Fractals and Chaos Theory

Explores chaotic maps, fractal dimensions, and strange attractors in dynamical systems.

Fractals: Dimensions and Applications

Explores fractals, dimensions, and applications, including mountain formation simulation and landscape authoring through erosion and vegetation interplay.

Nonlinear Dynamics: Chaos and Complex Systems

Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.

Chaos Theory: Fractals and Dimensionality

Explores chaotic systems, fractals, and dimensions in Chaos Theory.

Hyperbolic Geometry

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

End-to-End Distance Exponent

Explores the correct exponent for the end-to-end distance in polymer chains and its implications on chain correlations.

Topology of Riemann Surfaces

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Fractal Dimension: Understanding Complex Geometric Structures

Explores fractal dimension, calculating values analytically and providing practical examples in computer graphics.

Descent methods and line search: Inexact line search

Explores descent methods, line search, and the importance of small steps.

Turbulence Phenomenology

Explores turbulence phenomenology, focusing on scale separation, Reynolds numbers, and computational implications.

AutoCAD: Orthophotos and Orthoplans Calibration

Covers the calibration of orthophotos and orthoplans in AutoCAD, emphasizing precise modifications and accurate measurements.

Introduction to Structures: Part 2

Introduces subsystems, forces calculation, materials, and dimensioning in structures, emphasizing interactive learning.

AutoCAD: Text and Annotations

Explores creating text and annotations in AutoCAD, including managing properties and working with layers.

Vector Spaces: Dimension and Generators

Covers vector spaces, dimension, generators, and free families in relation to being tied or free.

Procedural Models: L-Systems

Explores procedural models, focusing on L-systems to generate intricate graphical patterns resembling natural structures.

Bernoulli convolutions: The dimension of Bernoulli convolutions

Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.

Decomposition into Line Metrics: Example and Outlook

Covers the decomposition into line metrics, providing examples and discussing its implications.

Computational Thinking Test: Evaluation and Design

Presents a test to evaluate computational thinking skills, discussing its design, analysis of previous tools, sample question, and study results.

Visualizing the Fourth Dimension: A Mathematical Journey

Explores visualizing the Fourth Dimension through points, lines, circles, spheres, and punching through, covering vector space properties, dimensionality, bases, and theorems.