Lectures related to Julia set | EPFL Graph Search

Bifurcation and fractals in complex dynamical systems

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Data-Parallel Programming: Basics and Mandelbrot Set

Covers data-parallel programming basics and rendering the Mandelbrot set efficiently.

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Nonlinear Dynamics: Chaos and Complex Systems

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

Small Scale Stability: Equilibrium Point

Covers small scale stability at equilibrium points in dynamical systems for engineers.

Advanced Analysis II: Matrix Diagonalization

Covers matrix diagonalization, compact sets, continuity of functions, and the Mandelbrot set.

Thermodynamic formalism for coarse expanding dynamical systems

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

Limits and colimits in Top

Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.

Analysis IV: Convergence Theorems and Integrable Functions

Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Datapath Design: Mandelbrot & Fixed-Point

Explores datapath design for Mandelbrot set and fixed-point number representation in digital systems.

Derived Functor Approach

Covers the derived functor approach to Čech cohomology, emphasizing the relationship between derived functors and sheaf theory.

Homology of Projective Space

Covers the homology of projective space, focusing on cohomology and exact sequences.

Ergodic properties in exponential dynamics

Explores ergodic properties in exponential dynamics, emphasizing dense orbits and specific functions.

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