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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hausdorff dimension, singular vectors and divergent trajectories
豪斯多夫维数 奇异向量 发散轨迹
2023/5/12
In this talk, I will give a survey of results related to the problem of computing Hausdorff dimension of various dynamically defined sets, such as singular vectors. The aim is to try to describe the l...
School Attendance: Equities and inequities in growth trajectories of academic performance
School Attendance Equities and inequities
2015/6/2
Much of the pedagogical as well as political tension in the discussion about the effects of education on the development of children has been focused on the importance of the quality of education as d...
Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models
Analyticity of Lagrangian trajectories well posed inviscid incompressible fl uid models
2014/4/3
We discuss general incompressible inviscid models, including the Euler equations, the surface quasi-geostrophic equation, incompressible porous medium equation, and Boussinesq equations. All these mod...
On trajectories of vortices in the compressible fluid on a two-dimensional manifold
the compressible fluid two-dimensional manifold
2010/11/17
For the model of a compressible barotropic fluid on a two dimensional rotating Riemmanian manifold we discuss a special class of smooth solutions having a form of a steady non-singular vortex moving ...
Leaves and trajectories for schemes. Application to the comparison of three classical sheaves over the differential spectrum
Leaves trajectories schemes classical sheaves the differential spectrum
2010/11/15
We define leaves and trajectories for schemes endowed with a vector field. With the help of these tools, we are able to give a geometrical interpretation and to generalize several results and constru...
On the multiplicity of non-iterated periodic billiard trajectories
Billiards Morse theory Iteration of periodic trajectories
2011/2/28
We introduce the iteration theory for periodic billiard trajectories in a compact and convex domain of the Euclidean space, and we apply it to establish a multiplicity result for non-iterated trajecto...
Clustering of exponentially separating trajectories
exponentially separating trajectories deterministic maps
2010/4/1
It might be expected that trajectories for a dynamical system which has no negative Lyapunov exponent (implying exponential growth of small separations will not cluster together. However, clustering c...
Asymptotic Properties of Optimal Trajectories in Dynamic Programming
Asymptotic Properties of Optimal Trajectories Dynamic Programming
2011/2/25
We show in a dynamic programming framework that uniform convergence of the finite horizon values implies that asymptotically the average accumulated payoff is constant on optimal trajectories. We anal...
STRUCTURE OF TRAJECTORIES OF DISCRETE DISPERSIVE DYNAMICAL SYSTEMS
Compact metric space set-valued mapping trajectory
2008/11/28
In this paper we study global attractors of discrete dispersive dynamical systems generated
by set-valued mappings and the structure of trajectories of these dynamical
systems.
CONVERGENCE OF TRAJECTORIES OF DISCRETE DISPERSIVE DYNAMICAL SYSTEMS
Compact metric space set-valued mapping trajectory global attractor
2008/11/26
In this paper we study the structure of trajectories of discrete dispersive dynamical
systems generated by set-valued mappings to their global attractors.
Minty Variational Inequalities and Monotone Trajectories of Differential Inclusions
Minty variational inequalities differential inclusions monotone trajectories slow solutions
2008/6/30
In [8] the notion of ``projected differential equation'' has been introduced and the stability of solutions has been studied by means of Stampacchia type variational inequalities. More recently, in [2...
Monotone Trajectories of Dynamical Systems and Clarke's Generalized Jacobian
Dynamical Systems Monotone Trajectories Generalized Jacobian Variational Inequalities
2008/6/30
We generalize some results due to Pappalardo and Passacantando [10]. We prove necessary and sufficient conditions for the monotonicity of a trajectory of an autonomous dynamical system with locally Li...