Limit sets | Ergodic theory | Theorems in dynamical systems | Complex dynamics
In mathematics, the no-wandering-domain theorem is a result on dynamical systems, proven by Dennis Sullivan in 1985. The theorem states that a rational map f : Ĉ → Ĉ with deg(f) ≥ 2 does not have a wandering domain, where Ĉ denotes the Riemann sphere. More precisely, for every component U in the Fatou set of f, the sequence will eventually become periodic. Here, f n denotes the n-fold iteration of f, that is, The theorem does not hold for arbitrary maps; for example, the transcendental map has wandering domains. However, the result can be generalized to many situations where the functions naturally belong to a finite-dimensional parameter space, most notably to transcendental entire and meromorphic functions with a finite number of singular values. (Wikipedia).
Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
Domain of a simple rational function in interval and set notation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Linear
Evaluate the left and right hand limit of basic ap calculus examples
👉 Learn about the limit of a function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a function is said to exist if the value which the function approaches as x (or the inde
From playlist Evaluate the Limit..........Help!
Finding the domain by investigating continuity (KristaKingMath)
► My Limits & Continuity course: https://www.kristakingmath.com/limits-and-continuity-course In order to find the domain of a function, you have to be able to say where a function is continuous and discontinuous. A function will be continuous wherever it isn't discontinuous, so to figure
From playlist Calculus I
Write the domain of a rational function in interval notation (No Sound)
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Linear
Finding the implied domain with a quadratic denominator of a rational function
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Quadratic
Anna Miriam Benini: Polynomial versus transcendental dynamics
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 24, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM
From playlist Dynamical Systems and Ordinary Differential Equations
David Martí-Pete: Wandering lakes of Wada
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 20, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM'
From playlist Analysis and its Applications
Unbounded Fast Escaping Wandering Domains - Adi Glücksam
Special Year Research Seminar Topic: Unbounded Fast Escaping Wandering Domains Speaker: Adi Glücksam Affiliation: Northwestern University Date: March 21, 2023 Complex dynamics explores the evolution of points under iteration of functions of complex variables. In this talk I will introduc
From playlist Mathematics
Overview of implied domain of functions
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Linear
Learn how to determine the domain of a rational equation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Easy
Harmonic measure: Algorithms and applications – Christopher Bishop – ICM2018
Analysis and Operator Algebras Invited Lecture 8.12 Harmonic measure: Algorithms and applications Christopher Bishop Abstract: This is a brief survey of results related to planar harmonic measure, roughly from Makarov’s results of the 1980’s to recent applications involving 4-manifolds,
From playlist Analysis & Operator Algebras
Complex geometry of Teichmuller domains (Lecture 2) by Harish Seshadri
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
Remarks on the long-time dynamics of 2D Euler - Theodore Dimitrios Drivas
Seminar in Analysis and Geometry Topic: Remarks on the long-time dynamics of 2D Euler Speaker: Theodore Dimitrios Drivas Affiliation: Member, School of Mathematics Date: May 10, 2022 We will discuss some old and new results concerning the long-time behavior of solutions to the two-dimen
From playlist Mathematics
John H. Hubbard: Introduction to Thurston’s theorems
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 20, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM'
From playlist Topology
Cubic surfaces and non-Euclidean geometry - William Goldman
Members’ Colloquium Topic: Cubic surfaces and non-Euclidean geometry Speaker: William Goldman Affiliation: University of Maryland; Member, School of Mathematics Date: January 24, 2022 The classification of geometric structures on manifolds naturally leads to actions of automorphism group
From playlist Mathematics
Write the domain in interval notation of a rational function
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain of a rational function, we first find the values of x
From playlist Domain of a function with a fraction | Linear
Davoud Cheraghi: Arithmetic geometric models for the renormalisation of irrationally indifferent...
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone Find this video and other talks given by worldwide mathematicians on CIRM's Audi
From playlist Virtual Conference
Video2-10, existence and uniqueness Theorem of nonlinear equation. Elementary Differential Equations
Elementary Differential Equations, Video2-10, existence and uniqueness Theorem of nonlinear equations. Slides are here: https://drive.google.com/file/d/1d9lPxdODxROphf76e7QJH4_fIJXXrDrx/view?usp=sharing Course playlist: https://www.youtube.com/playlist?list=PLbxFfU5GKZz0GbSSFMjZQyZtCq-0ol_
From playlist Elementary Differential Equations
Boundary dynamics for surface homeomorphisms – Andres Koropecki & Meysam Nassiri – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.12 Boundary dynamics for surface homeomorphisms Andres Koropecki & Meysam Nassiri Abstract: We discuss some aspects of the topological dynamics of surface homeomorphisms. In particular, we survey recent results about
From playlist Dynamical Systems and ODE