
Explore the fascinating world of one-dimensional holomorphic dynamics with expert Mikhail Lyubich, delving into complex mathematical concepts and their applications.

Explore mathematical games and puzzles involving space-filling curves with Ed Pegg Jr. in this engaging 55-minute episode.

Explore numerical quadrature techniques for singular integrals over self-similar measures on fractal sets, focusing on advanced mathematical concepts and applications.

Explore Sobolev spaces on metric spaces, covering basic concepts, new examples, and discrete energy. Gain insights into advanced mathematical analysis techniques.

Explore the Modular Mandelbrot set in this dynamic talk by Luna Lomonaco, part of a conference celebrating Marcelo Viana's 60th birthday and showcasing cutting-edge developments in dynamical systems.

Explore dynamics, multifractals, and harmonic measure with Stanislav Smirnov in this conference talk celebrating Marcelo Viana's 60th birthday. Gain insights into cutting-edge developments in dynamical systems.

Explore partial hyperbolicity in Hénon family dynamics. Delve into complex mathematical concepts, including Henon-like maps, quadratic handle maps, and Julia sets.

Explore the mathematical intricacies behind Escher's art and the Droste effect, delving into their connections and applications in visual perception and geometry.

Explore the mathematical intricacies behind Escher's art and the Droste effect, delving into their connections and applications in visual perception and geometry.

Explore context-free orderings on free products, including constructions of Cantor sets with dense subsets of context-free orders and extensions to free products with regularly ordered factors.

Explore the Dry Ten Martini Problem for Sturmian Schrodinger operators, examining spectral gaps and integrated density of states. Delve into recent solutions and advancements in this mathematical challenge.

Explore dynamically defined random fractals and their mathematical properties through expert insights from Karoly Simon of Budapest University of Technology and Economics.

Explore indecomposable continua in exponential dynamics, delving into advanced mathematical concepts and their applications.

Explore the fascinating world of the Mandelbrot set and its satellite copies, delving into complex mathematical concepts and intricate geometric patterns.

Explore local connectivity of boundaries in tame Fatou components for meromorphic maps, delving into complex dynamics and geometric function theory.

Explore the intricacies of Mandelbrot-like sets in exponential map families, delving into complex mathematical concepts and their applications.

Explore rational maps with one free critical point, delving into their properties and implications in complex dynamics.

Explore cubic rational maps with parabolics, delving into their slices and mathematical properties. Gain insights into complex dynamics and algebraic geometry.

Explore Sharkovsky ordering's application to the Mandelbrot set, uncovering fascinating connections between discrete dynamics and complex analysis.

Learn to create realistic canyon landscapes with vertical walls in Terragen. Master techniques for painting, fractals, and atmospheric effects to enhance your digital terrain designs.

Learn to create unique ornaments using acrylic skins, fractals, and dirty pour techniques. Discover step-by-step instructions, tips, and ideas for customizing beautiful decorations.