Student Dynamics Archives for Fall 2016 to Spring 2017
Organization meeting
When: Tue, September 1, 2015 - 3:30pmWhere: MATH 1310
Speaker: () -
Mautner phenomenon
When: Tue, September 8, 2015 - 3:30pmWhere: MATH 1310
Speaker: Minsung Kim (UMD) -
Abstract: Mautner phenomenon gives invariance of unitary representation of simple Lie group. The talk will focus on the case of SL(2,R) and introduction to G-space.
Preservation of Periodicity in Variational Integrators
When: Tue, September 15, 2015 - 3:30pmWhere: MATH 1310
Speaker: Jianlong Liu (UMD) -
Abstract: Classical numerical integrators do not preserve symplecticity, a structure inherent in Hamiltonian systems. Thus, the trajectories they produce cannot be expected to possess the same qualitative behavior observed in the original system. Pooling recent results from O'Neale and West, we explore a particular class of numerical integrators, the variational integrator, that preserves one aspect of the range of behavior present in Hamiltonian systems, the periodicity of trajectories.
Invariant cones : a means of studying chaotic systems
When: Tue, September 22, 2015 - 3:30pmWhere: MATH 1310
Speaker: Suddhasattwa Das (UMD) -
Abstract: Chaotic systems are characterized by sensitive dependence on initial conditions, dense trajectories and dense periodic points. Due to their occurrence in a wide variety of dynamical systems, they can usually be rigorously studied only if accompanied by some assumptions on the geometric / differential properties of the transformation. One geometric structure which is well understood is the class of Anosov diffeomorphisms or more generally, completely hyperbolic systems and to some extent, partially hyperbolic systems. A weaker version of these rather stringent assumptions is the concept of invariant cones. This is an invariant structure in the tangent bundle of a map and we will explore various consequences of this invariant structure. We will mostly focus on a broad class of maps on the torus and derive various properties and also discuss the interplay between them, under the assumption that a "dominated invariant cone system" is present.
The Multiplicative Ergodic Theorem
When: Tue, September 29, 2015 - 3:30pmWhere: Math 1310
Speaker: Hamid Al-Saqban (UMD) -
The Horocycle Flow and Some of Its Properties
When: Tue, October 6, 2015 - 3:30pmWhere: MATH 1310
Speaker: Simonelli, Lucia Dora (UMD) -
Homoclonic tangency and infinitely many sinks
When: Tue, October 13, 2015 - 3:30pmWhere: MATH 1310
Speaker: Jing Zhou (UMD) -
Ergodicity of group action
When: Tue, November 17, 2015 - 3:30pmWhere: MATH 1310
Speaker: Akurugodage, B. Kasun Fernando (UMD) -
Quasicrystals and the Dynamics of tiling spaces: part 1
When: Tue, November 24, 2015 - 3:30pmWhere: MATH 1310
Speaker: Schmieding, Scott (UMD) -
Quasicrystals and the Dynamics of tiling spaces: part 2
When: Tue, December 1, 2015 - 3:30pmWhere: MATH 1310
Speaker: Schmieding, Scott Edward (UMD) -
Ergodic theory and Effective Equidistribution
When: Tue, December 8, 2015 - 3:30pmWhere: MATH 1310
Speaker: Minsung Kim (UMD) -
Organization meeting
When: Tue, February 2, 2016 - 3:30pmWhere: MATH 1310
Speaker: () -
Invariant distributions and Cohomological Equation
When: Tue, February 9, 2016 - 3:30pmWhere: MATH 1310
Speaker: Minsung Kim (UMD) -
Equidistribution of spheres and the orbit counting problem
When: Tue, February 16, 2016 - 3:30pmWhere: Math 1310
Speaker: Hamid Al-Saqban (UMD) - http://math.umd.edu/~hqs
Rohlin towers and Statistics of return times
When: Tue, March 1, 2016 - 3:30pmWhere: MATH 1310
Speaker: Suddhasattwa Das (UMD) -
Transfer operator and SRB measure for Smooth expanding maps on manifolds
When: Thu, March 24, 2016 - 3:30pmWhere: MATH 1310
Speaker: Jing Zhou (UMD) -
Transfer operator and SRB measure for smooth expanding maps (Part II) - CLT and Stochastic Stability.
When: Tue, April 5, 2016 - 3:30pmWhere: MATH 1310
Speaker: Akurugodage, B. Kasun Fernando (UMD) -