Dynamical Systems Seminar

from Saturday
June 01, 2019 to Tuesday
December 31, 2019
 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Seminar SCGP Lectures for Graduate Students SCGP Seminars Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Differential Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Symplectic Geometry Seminar (Pre-talk) Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars

 FridaySeptember 06, 20192:30 PM - 3:30 PM Math Tower P-131 Yusheng Luo, Stony Brook University Classification of hyperbolic component with bounded escapeA hyperbolic component is said to have bounded escape if there is a sequence of rational maps which is degenerating as conjugacy classes, but for any period $p$, the multipliers of periodic points of period $p$ remain bounded. A hyperbolic component is said to have nested Julia sets if the Julia set is disconnected and there are two points that are separated by any Julia component. In this talk we will show that a hyperbolic component has bounded escape if and only if it has nested Julia sets.

 FridaySeptember 13, 20192:30 PM - 3:30 PM Math Tower P-131 Jonguk Yang, Stony Brook University Structural Stability in the Semi-Siegel Hénon FamilyConsider the family of strongly dissipative quadratic Hénon maps with a semi-Siegel fixed point of golden-mean rotation number. Using a renormalization approach inspired by the work of Lyubich and Martens for Feigenbaum Hénon maps, we show that this family is structurally unstable. Combining this result with the work of Dujardin and Lyubich, we are able to conclude that the subset of semi-Siegel Hénon maps that 1) have infinitely many sinks, or 2) have a disconnected Julia set, each form a dense subset within the family. This is joint work with M. Yampolsky

 FridaySeptember 20, 20192:30 PM - 3:30 PM Math Tower P-131 Alena Erchenko, Stony Brook University Flexibility of Lyapunov exponents with respect to two classes of measures on the torusWe consider a family of Anosov area-preserving diffeomorphisms on the two-torus that are homotopic to a fixed Anosov automorphism. There are several interesting classes of invariant measures. We will concentrate on the invariant measure that is absolutely continuous with respect to the Lebesgue measure and the measure of maximal entropy. We show that positive Lyapunov exponents with respect to these two probability measures in the considered family of diffeomorphisms take on all values that satisfy some well-known inequalities.

 FridaySeptember 27, 20192:30 PM - 3:30 PM Math Tower P-131 Alex Kapiamba, University of Michigan The Yoccoz inequality and parabolic implosionThe Yoccoz inequality provides a bound on the size of the limbs of the Mandelbrot set, however this bound is not sharp in most cases. Near parabolic parameters, for example the cusp of the main cardioid, the bound coming from the Yoccoz inequality appears to be far from optimal. Parabolic implosion, the theory of perturbations of parabolic functions, provides tools to understand the geometry of the Mandelbrot set near parabolic parameters. In this talk I will discuss the possibility of using parabolic implosion to improve the Yoccoz inequality near parabolic parameters.

 FridayOctober 04, 20192:30 PM - 3:30 PM Math Tower P-131 Jeffrey Diller, University of Notre Dame TBATBA

 FridayOctober 11, 20192:30 PM - 3:30 PM Math Tower P-131 Tanya Firsova, Kansas State University TBATBA

 FridayOctober 25, 20192:30 PM - 3:30 PM Math Tower P-131 Giulio Tiozzo, University of Toronto TBA

 FridayNovember 08, 20192:30 PM - 3:30 PM Math Tower P-131 Martin Bridgeman, Boston College TBATBA

 FridayNovember 22, 20192:30 PM - 3:30 PM Math Tower P-131 Arnaud Chéritat, Insititut de Mathématiques de Toulouse, Paul Sabatier University TBATBA

 Show events for: All Events AGNES Algebraic geometry seminar Algebraic models in geometry seminar Am.Math.Soc. (AMS) Chapter Seminar Analysis Seminar Analysis Student Seminar Capsule Research Talks Colloquium Commencement Ceremony Comprehensive Exams Dynamical Systems Seminar Equivalence Method and Exterior Differential Systems Seminar First and Second Year Student Seminar Friday Summer Meeting Geometric Analysis Learning Seminar Geometry/Topology Seminar Grad / Postdoc Professional Development Seminar Graduate Student Seminar Graduate Topology Seminar Grant Proposal Panel Hodge Theory, Moduli and Representation Theory Holiday Party Joint Columbia-CUNY-Stony Brook General Relativity Seminar Math and Art Symposium for Tony Phillips Math Club Math Day 2016 Math in Jeans Mathematical Writing Seminar Mathematics Department Gathering Mathematics Education Colloquium Mathematics Summer Camp Mini Course / Dynamics Learning Seminar Mini-School in Geometry Minicourse in Real Enumerative Geometry New Graduate Students NY General Relativity Seminar Postdoc Geometry/Dynamics Seminar Postdoc Seminar Representation Theory Student Seminar RTG Colloquium RTG Seminar RTG Student Seminar SCGP Lectures for Graduate Students SCGP Seminars Seminar in Topology and Symplectic Geometry Seminar on algebraic structures in physics Simons Colloquium Simons Lectures Series Singular metrics and direct images Special Algebra / Algebraic Geometry Seminar Special Analysis Seminar Special Colloquium Special Dynamics Seminar Special Geometry/Topology Seminar Special Lectures Special Seminar in Algebraic Geometry Special Topology Seminar Student Algebraic Geometry Seminar Student Differential Geometry Seminar Student Gauge Theory Seminar Student Seminar on Differential Geometry and Analysis Summer Workshop in Topology and Geometry Symplectic Geometry Reading Seminar Symplectic Geometry Seminar Symplectic Geometry Seminar (Pre-talk) Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars