Mandelbrot, 1/f Noise, and The Mind's Eye in Complexity Science
Exploring Mandelbrot's contributions to 1/f noise, long-range dependence, and fractional models. Discusses the impact of cognitive diversity on scientific progress and the importance of visual thinking in mathematics.
Beyond the Mandelbrot Set - An Intro to Holomorphic Dynamics
Explore holomorphic dynamics, iterative complex functions, and fractals. Delve into Mandelbrot sets, fixed points, cycles, and Julia sets for a fascinating journey through mathematical visualization.
Coding a 3D Fractal
Learn to visualize the 3D Mandelbulb fractal using Processing (Java). Explore triplex numbers, spherical coordinates, and point cloud rendering techniques to create stunning fractal visualizations.
Learn Rust Programming
Master Rust's key concepts: traits, enums, borrow checker, error handling, and iterators. Gain practical skills through code reviews, fractals, and StackOverflow's top questions.
Fractals Are Typically Not Self-Similar
Explore fractal dimension, self-similarity, and scaling in this engaging explanation that challenges common misconceptions about fractals and their properties.
Fractal Dimensions in Nature and Mathematics - 2019
Explore fractal dimensions in nature and math, from intuitive integer dimensions to non-integer fractals. Learn alternative definitions, simple examples, and applications in dynamical systems.
Mandelbulbs - The Search for a 3D Mandelbrot Fractal
Explore the fascinating world of 3D fractals, from natural examples to complex mathematical constructs like Mandelbulbs, with insights into fractal dimensions and generation techniques.
Intersection Theory and the Mandelbrot Set
Explores the Mandelbrot set's connections to arithmetic intersection theory, revealing new insights into this complex mathematical object. Joint work with Myrto Mavraki.
Story of 1D Holomorphic Dynamics
Explore the fascinating world of one-dimensional holomorphic dynamics with expert Mikhail Lyubich, delving into complex mathematical concepts and their applications.
The Mandelbrot Set and Its Satellite Copies
Explore the fascinating world of the Mandelbrot set and its satellite copies, delving into complex mathematical concepts and intricate geometric patterns.
On a Mandelbrot-Like Set for a Family of Exponential Maps
Explore the intricacies of Mandelbrot-like sets in exponential map families, delving into complex mathematical concepts and their applications.
A Family of Rational Maps with One Free Critical Point
Explore rational maps with one free critical point, delving into their properties and implications in complex dynamics.
Sharkovsky Ordering on the Mandelbrot Set
Explore Sharkovsky ordering's application to the Mandelbrot set, uncovering fascinating connections between discrete dynamics and complex analysis.
Graal and GPU Offload - Architecture and Implementation
Explore Graal architecture, GPU offloading, and HSAIL backend for Java performance optimization. Learn about Truffle, JavaScript peak performance, and special considerations for GPU compilation.
Fractals and the Art of Roughness
Explore the complexity of roughness and discover order in seemingly chaotic patterns through fractal mathematics with legendary mathematician Benoit Mandelbrot in this thought-provoking TED talk.
Fractals and the Art of Roughness
Explore the fascinating world of fractals and roughness with mathematician Benoit Mandelbrot, uncovering order in seemingly chaotic patterns and their applications across various fields.
Introduction to Numerical Computation Applications Using Ubuntu WSL
Explore numerical computing on Ubuntu WSL for efficient solver development and deployment, with practical examples and insights on streamlining workflows for complex engineering problems.