Zobrazeno 1 - 10
of 93
pro vyhledávání: '"Tong, Zhicheng"'
Autor:
Tong, Zhicheng, Li, Yong
In this study, utilizing a specific exponential weighting function, we investigate the uniform exponential convergence of weighted Birkhoff averages along decaying waves and delve into several related variants. A key distinction from traditional scen
Externí odkaz:
http://arxiv.org/abs/2408.09398
Autor:
Tong, Zhicheng, Li, Yong
By employing an accelerated weighting method, we establish arbitrary polynomial and exponential pointwise convergence for multiple ergodic averages under general conditions in both discrete and continuous settings, involving quasi-periodic and almost
Externí odkaz:
http://arxiv.org/abs/2405.02866
Autor:
Tong, Zhicheng, Li, Yong
In this paper, we present two infinite-dimensional KAM theorems with frequency-preserving for a nonresonant frequency of Diophantine type or even weaker. To be more precise, under a nondegenerate condition for an infinite-dimensional Hamiltonian syst
Externí odkaz:
http://arxiv.org/abs/2405.01864
Autor:
Tong, Zhicheng, Li, Yong
This paper mainly concerns the frequency-preserving Kolmogorov-Arnold-Moser (KAM) theorem via irregular continuity with respect to the parameter. Instead of digging out domains or requiring the uniform weak convexity for the frequency mapping, we int
Externí odkaz:
http://arxiv.org/abs/2309.11797
Autor:
Tong, Zhicheng, Li, Yong
We consider linearization of perturbed vector field $ \omega+P $ over infinite dimensional torus $ \mathbb{T}^\infty $ and give sharp regularity requirement for perturbation $ P $ under which there is a nearly identical transformation conjugating the
Externí odkaz:
http://arxiv.org/abs/2306.08211
Autor:
Tong, Zhicheng, Li, Yong
Beyond H\"{o}lder's type, this paper mainly concerns the persistence and remaining regularity of an individual frequency-preserving KAM torus in a finitely differentiable Hamiltonian system, even allows the non-integrable part being critical finitely
Externí odkaz:
http://arxiv.org/abs/2302.14361
This paper mainly concerns the KAM persistence of the mapping $\mathscr{F}:\mathbb{T}^{n}\times E\rightarrow \mathbb{T}^{n}\times \mathbb{R}^{n}$ with intersection property, where $E\subset \mathbb{R}^{n}$ is a connected closed bounded domain with in
Externí odkaz:
http://arxiv.org/abs/2302.05183
Autor:
Tong, Zhicheng, Li, Yong
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 derivatives, in sense of finite smoothness with modulus of continuity, as a gen
Externí odkaz:
http://arxiv.org/abs/2301.13590
Autor:
Tong, Zhicheng, Li, Yong
By introducing the modulus of continuity, we first establish the corresponding cross-ratio distortion estimates under $ C^2 $ smoothness, and further give a Denjoy-type inequality, which is almost optimal in dealing with circle diffeomorphisms. The l
Externí odkaz:
http://arxiv.org/abs/2211.01590
In this paper, we study the Hamiltonian systems $ H\left( {y,x,\xi ,\varepsilon } \right) = \left\langle {\omega \left( \xi \right),y} \right\rangle + \varepsilon P\left( {y,x,\xi ,\varepsilon } \right) $, where $ \omega $ and $ P $ are continuous ab
Externí odkaz:
http://arxiv.org/abs/2210.04383