16 citations · 30 across the 14 of their papers we have counts for
15 papers
Nonpersistence of full-dimensional tori with polynomial decay in nonlinear Schrödinger equations
Zhicheng Tong, Yong Li
We establish local nonpersistence of full-dimensional invariant tori with polynomially decaying actions for the periodic quintic nonlinear Schrödinger equation \[ iu_t-u_{xx}+T_vu+…
Complete characterization of planar linearizability and optimal conjugacy regularity
Zhicheng Tong, Yong Li
We establish a complete characterization of local linearizability for planar diffeomorphisms. For every prescribed hyperbolic real Jordan form, we obtain necessary and suffic…
Gilbert's conjecture and A new way to octonionic analytic functions from the clifford analysis
Yong Li
In this article we will give a affirmative answer to Gilbert's conjecture on Hardy spaces of Clifford analytic functions in upper half-space of . It depends on a expl…
Towards sharp regularity: Full-dimensional tori in vector fields over
Zhicheng Tong, Yong Li
We consider the linearization of a perturbed vector field over the infinite-dimensional torus , and determine the sharp regularity requirement…
Towards continuity: Universal frequency-preserving KAM persistence and remaining regularity
Zhicheng Tong, Yong Li
Beyond Hölder's type, this paper mainly concerns the persistence and remaining regularity of an individual frequency-preserving KAM torus in a finitely differentiable Hamiltonian s…
Moser's Theorem with Frequency-preserving
Chang Liu, Zhicheng Tong, Yong Li
This paper mainly concerns the KAM persistence of the mapping with intersection property, where…
Universal frequency-preserving KAM persistence via modulus of continuity
Zhicheng Tong, Yong Li
In this paper, we study the persistence and remaining regularity of KAM invariant torus under sufficiently small perturbations of a Hamiltonian function together with its derivativ…
Relation between irrationality and regularity for conjugacy of circle diffeomorphisms to rigid rotations
Zhicheng Tong, Shuyuan Xiao, Yong Li
By introducing the modulus of continuity, we first establish the corresponding cross-ratio distortion estimates under smoothness, and further derive a Denjoy-type inequalit…
KAM theorem on modulus of continuity about parameter
Zhicheng Tong, Jiayin Du, Yong Li
In this paper, we study the Hamiltonian systems $ H\left( {y,x,ξ,\varepsilon } \right) = \left\langle {ω\left( ξ\right),y} \right\rangle + \varepsilon P\left( {y,x,ξ,\varepsilon }…
Exponential convergence of weighted Birkhoff average
Zhicheng Tong, Yong Li
In this paper, we consider the polynomial and exponential convergence rate of weighted Birkhoff averages of irrational rotations on tori. It is shown that these can be achieved for…
Resurgence and Partial Theta Series
Li Han, Yong Li, David Sauzin +1
We consider partial theta series associated with periodic sequences of coefficients, of the form , with non-negative integer and an …
On the Moyal Star Product of Resurgent Series
Yong Li, David Sauzin, Shanzhong Sun
We analyze the Moyal star product in deformation quantization from the resurgence theory perspective. By putting algebraic conditions on Borel transforms, one can define the space…
Hadamard Product and Resurgence Theory
Yong Li, David Sauzin, Shanzhong Sun
We discuss the analytic continuation of the Hadamard product of two holomorphic functions under assumptions pertaining to Ecalle's Resurgence Theory, proving that if both factors a…
Classification of left octonion modules
Qinghai Huo, Yong Li, Guangbin Ren
It is natural to study octonion Hilbert spaces as the recently swift development of the theory of quaternion Hilbert spaces. In order to do this, it is important to study first its…
The Baker-Campbell-Hausdorff formula via mould calculus
Shanzhong Sun, Yong Li, David Sauzin
The well-known Baker-Campbell-Hausdorff theorem in Lie theory says that the logarithm of a noncommutative product e X e Y can be expressed in terms of iterated commutators of X and…