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PARALLEL CHIP-FIRING ON THE COMPLETE GRAPH;DEVIL’S STAIRCASE AND POINCARE ROTATION NUMBER
PARALLEL CHIP-FIRING COMPLETE GRAPH DEVIL’S STAIRCASE POINCARE ROTATION NUMBER
2015/8/14
We study how parallel chip-firing on the complete graph Kn changes behavior as we vary the total number of chips. Surprisingly,the activity of the system, defined as the average number of firings per ...
The Poincare map of randomly perturbed periodic motion
Poincare map random perturbations limit cycle Dynamical Systems
2012/6/15
A system of autonomous differential equations with a stable limit cycle and perturbed by small white noise is analyzed in this work. In the vicinity of the limit cycle of the unperturbed deterministic...
We discuss the consequences of the Poincar\'e duality, versus AS- Gorenstein property, for Koszul algebras (homogeneous and non homogeneous). For homogeneous Koszul algebras, the Poincar\'e duality pr...
Quasilinear elliptic equations and weighted Sobolev-Poincare inequalities with distributional weights
Quasilinear equations weighted integral inequalities elliptic regularity
2012/4/16
We introduce a class of weak solutions to the quasilinear equation $-\Delta_p u = \sigma |u|^{p-2}u$ in an open set $\Omega\subset\mathbf{R}^n$. Here $p>1$, and $\Delta_p u$ is the $p$-Laplacian opera...
The Poincare-Hopf Theorem for relative braid classes
Poincare-Hopf Theorem relative braid classes Symplectic Geometry
2012/4/18
Braid Floer homology is an invariant of proper relative braid classes. Closed integral curves of 1-periodic Hamiltonian vector fields on the 2-disc may be regarded as braids. If the Braid Floer homolo...
Local Poincare inequalities from stable curvature conditions on metric spaces
Ricci curvature metric measure spaces geodesics Poincare inequality
2011/9/20
Abstract: We prove local Poincar\'e inequalities under various curvature-dimension conditions which are stable under the measured Gromov-Hausdorff convergence. The first class of spaces we consider is...
Poincare duality and degrees of twisted Alexander polynomials
twisted Alexander polynomial Reidemeister torsion duality
2011/9/9
Abstract: We prove duality theorems for twisted Reidemeister torsions and twisted Alexander polynomials generalizing the results of Turaev. As a corollary we determine the parity of the degrees of twi...
Poincare inequalities and rigidity for actions on Banach spaces
Poincare inequality Kazhdan’s property (T) affine isometric action
2011/8/31
Abstract: The aim of this paper is to extend the framework of the spectral method for proving property (T) to the class of reflexive Banach spaces and present conditions implying that every affine iso...
Poincare series for plane curve singularities and their behaviour under projections
Curve singularity Alexander polynomial Poincare series value semigroup Grothendieck ring of varieties
2011/8/26
Abstract: Our purpose is to investigate all defined Poincar\'e series associated with multi-index filtrations and value semigroups of curve singularities---not necessarily complex---with regard to the...
张旭研究员获国际著名期刊《Ann. I. H. Poincare–AN》年度最佳论文奖
张旭研究员 非线性双曲型 抛物型方程 Ann. I. H. Poincare–AN 非线性偏微分方程
2011/6/7
日前，国际著名期刊《Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire》2010年评选的“2008～2009年最佳论文奖”揭晓，中国科学院数学与系统科学研究院张旭研究员发表的论文“on the Optimality of the Observability Inequalities for Parabolic and Hype...
On evaluation of the topological degree of the Poincare map in some singular situations
the topological the Poincare map singular situations
2010/11/11
In the paper we develop a method to evaluate the topological degree of the Poincare map of the mathematical model of narrow lagoon subject to a T-periodic forcing. Using the method developved we arriv...
Super-Poincare' algebras, space-times and supergravities (I)
Super-Poincare' algebras space-times supergravities
2010/11/18
A new formulation of theories of supergravity as theories satisfying a generalized Principle of General Covariance is given. It is a generalization of the superspace formulation of simple 4D-supergra...
We show a different modification of Poincare algebra that also preserves Lorentz algebra. The change begins with how boosts affect spacetime in a way similar to how they affect the momenta in kappa Po...
The non-relativistic limit of (central-extended) Poincare group and some consequences for quantum actualization
non-relativistic limit of (central-extended) Poincare group
2010/12/3
The non relativistic limit of the centrally extended Poincar´e group is considered and their consequences in the Modal Hamiltonian Interpretation of Quantum Mechanics discussed [1], [2]. Through...
Topological recursion for the Poincare polynomial of the combinatorial moduli space of curves
Topological recursion Poincare polynomial combinatorial moduli space of curves
2010/12/3
We show that the Poincare polynomial associated with the orbifold cell decomposition of the moduli space of smooth algebraic curves with distinct marked points satis es a topological
recursion formu...