Dynamical Systems Seminar

from Tuesday
January 01, 2019 to Friday
May 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 Geometry Seminar 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 Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars

 FridayFebruary 01, 20192:30 PM - 3:30 PM Math Tower P-131 Boris Solomyak, University of Bar-Ilan On the dimension of Furstenberg measure for $SL(2,R)$ random matrix products and the Diophantine condition in matrix groupsLet $μ$ be a finitely supported measure on $SL(2,R)$ generating a non-compact and totally irreducible subgroup. Furstenberg proved that there is a unique stationary measure for the induced action on the projective line (now often called the Furstenberg measure''), with a positive Lyapunov exponent. In joint work with M. Hochman, we computed the Hausdorff dimension of the Furstenberg measure, assuming a Diophantine condition on the support of $μ$. I will also discuss some follow-up results on the Diophantine property in matrix groups and on the dimension of the support of the Furstenberg measure, joint with Y. Takahashi.

 FridayFebruary 08, 20192:30 PM - 3:30 PM Math Tower P-131 Liviana Palmisano, Uppsala University Newhouse LaminationsWe prove that the Newhouse phenomenon has a codimension 2 nature. Namely, there exist codimension 2 laminations of maps with infinitely many sinks. The leaves of the laminations are smooth and the sinks move simultaneously along the leaves. These Newhouse laminations occur in unfoldings of rank-one homoclinic tangencies. As consequence, in the space of polynomial maps, there are examples of: -two dimensional Hénon maps with finitely many sinks and one strange attractor, -Hénon maps, in any dimension, with infinitely many sinks, -quadratic Hénon-like maps with infinitely many sinks and one period doubling attractor, -quadratic Hénon-like maps with infinitely many sinks and one strange attractor, -two dimensional Hénon maps with finitely many sinks and two period doubling attractors, -quadratic Hénon-like maps with finitely many sinks, two period doubling attractors and one strange attractor.

 FridayFebruary 22, 20192:30 PM - 3:30 PM Math Tower P-131 Kasra Rafi, University of Toronto Counting of the number of simple closed curves on a surface, revisitedTBA

 FridayMarch 01, 20192:30 PM - 3:30 PM Math Tower P-131 Zoran Sunic, Hofstra University Schreier spectra of some iterated monodromy groupsWe discuss calculation of spectra of several iterated monodromy groups, such as the Hanoi Towers group $H$ and one of its subgroups, the “tangled odometers group“ $T$. The Hanoi Towers group is the iterated monodromy group of the $3$-dimensional, post-critically finite, rational map $z→ z^2 – 16/(27z)$ and it models the well-known Hanoi Towers Problem. The subgroup $T$ is the iterated monodromy group of the post-critically finite, cubic polynomial $z→ -z^3/2 + 3z/2$ whose two critical points are fixed. The groups act on the ternary rooted tree and on its boundary. The spectrum of the Schreier graphs of these actions were, in both cases, shown to consist of a countable set of isolated points and a Cantor set to which the isolated points accumulate via backward iterations of a quadratic polynomial. In both cases, the calculation is facilitated by first introducing a higher dimensional rational map, which is then shown to be semi-conjugate to a one-dimensional map. Time permitting, we will also discuss the case of iterated monodromy groups of arbitrary conservative polynomials.

 FridayMarch 08, 20192:30 PM - 3:30 PM Math Tower P-131 Jonguk Yang, University of Michigan TBATBA

 FridayApril 05, 20192:30 PM - 3:30 PM Math Tower P-131 Malik Younsi, University of Hawaii TBATBA

 FridayApril 12, 20192:30 PM - 3:30 PM Math Tower P-131 Jing Tao, University of Oklahoma TBATBA

 FridayApril 19, 20192:30 PM - 3:30 PM Math Tower P-131 Saeed Zakeri, CUNY 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 Geometry Seminar 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 Thesis Defense Topology and Symplectic Geometry / Math of Gauge Fields seminar Women in Mathematics Instructions for subscribing to Stony Brook Math Department Calendars