2 citations · 5 across the 7 of their papers we have counts for
7 papers
Some incarnations of Hamiltonian reduction in symplectic geometry and geometric representation theory
Peter Crooks, Xiang Gao, Mitchell Pound +1
In this expository note, we give a self-contained introduction to some modern incarnations of Hamiltonian reduction. Particular emphasis is placed on applications to symplectic geo…
Dynamical systems defined by polynomials with algebraic properties
Shigeki Akiyama, Xiang Gao, Teturo Kamae
Let (x_n; n\in Z) be a bisequence of elements x_n in the 1-dimensional torus R/Z, which is called a stream over R/Z. Let P(z)=a_k z^k+...+a_1 z+a_0 be a polynomial with integer coe…
Nijenhuis operators on 2D pre-Lie algebras and 3D associative algebras
Xiaoguang Zou, Xiang Gao, Chuangchuang Kang +1
In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operator…
Fourier decay rate of coin-tossing type measures
Xiang Gao, Jihua Ma, Kunkun Song +1
The Fourier decay rate of a coin-tossing type measure is investigated. Explicit estimation is given. Our method relies upon a classical result of Hartman and Kershner. As an applic…
Fourier decay bound and differential images of self-similar measures
Yuanyang Chang, Xiang Gao
In this note, we investigate differential images of the homogeneous self-similar measure associated with an IFS satisfying the strong separat…
An Interpolating Curvature Condition Preserved By Ricci Flow
Xiang Gao, Yu Zheng
In this paper, we firstly establish an Interpolating curvature invariance between the well known nonnegative and 2-non-negative curvature invariant along the Ricci flow. Then a rel…