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2017年可积系统研讨会（Workshop on Integrable Systems）
2017年 可积系统 研讨会
2017/11/24
We are hosting our fifth annual Workshop on Integrable Systems on 7–8 December 2017 at the School of Mathematics and Statistics, the University of Sydney.
An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
Orbits of nearly integrable systems accumulating to KAM tori
nearly integrable systems KAM tori
2015/9/25
Orbits of nearly integrable systems accumulating to KAM tori.
A note on micro-instability for Hamiltonian systems close to integrable
micro-instability Hamiltonian systems close to integrable
2015/9/25
In this note, we consider the dynamics associated to a perturbation of an integrable Hamiltonian system in action-angle coordinates in any number of degrees of freedom and we prove the following resul...
3D integrable lattice models and the Bazhanov-Stroganov model
3D integrable lattice models Bazhanov-Stroganov model
2015/3/19
Many 2D integrable lattice spin models known: Ising, XXZ, RSOS, etc.Systematic construction of solutions of Y-B equations: quantum groups.Not many integrable 3D models: almost all generalizations of Z...
Explicit Solutions to Boundary Problems for 2+1-Dimensional Integrable Systems
Boundary Problems 2+1-Dimensional Integrable Systems
2011/2/21
Nonlinear integrable models with two spatial and one temporal variables: Kadomtsev-Petviashvili equation and two-dimensional Toda lattice are investigated on the subject of correct formulation for bou...
The quantum $H_4$ integrable system is a $4D$ system with rational potential related to the non-crystallographic root system $H_4$ with 600-cell symmetry. It is shown that the gauge-rotated $H_4$ Hami...
On a Uniformly Integrable Family of Polynomials Defined on the Unit Interval
Uniform integrability Bernstein polynomials Probability inequalities Combinatorial inequalities Completely monotonic functions
2008/6/27
In this short note, we establish the uniform integrability and pointwise convergence of an (unbounded) family of polynomials on the unit interval that arises in work on statistical density estimation ...
On the Degree of Strong Approximation of Integrable Functions
Integrable Functions Strong Approximation Degree
2008/6/27
We show the strong approximation version of some results of L. Leindler [3] connected with the theorems of P. Chandra [1,2].
Some New Reductions From a Lax Integrable System
lax integrable system reduction hamiltonian structure
2007/12/11
An isospectral problem with four potential is discussed. The corresponding hierarchy of Lax integrable evolution equations is derived. For the hierarchy, it is shown that there exist other new reducti...
Cohomologies of Affine Jacobi Varieties and Integrable Systems
Affine Jacobi Varieties Integrable Systems
2010/11/1
We study the affine ring of the affine Jacobi variety of a hyper-elliptic curve. The matrix construction of the affine hyper-elliptic Jacobi varieties due to Mumford is used to calculate the characte...