Supported by the National Natural Science Foundation of China(12201446);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(22KJB110005);the Shuangchuang Program of Jiangsu Province(JSSCBS20220898)。
It is known that monotone recurrence relations can induce a class of twist homeomorphisms on the high-dimensional cylinder,which is an extension of the class of monotone twist maps on the annulus or two-dimensional cy...
supported by National Natural Science Foundation of China(11871006,11671271)。
This paper investigates the optimal Birkhoff interpolation and Birkhoff numbers of some function spaces in space L∞[-1,1]and weighted spaces Lp,ω[-1,1],1≤p<∞,with w being a continuous integrable weight function in...
supported by National Natural Science Foundation of China(Grant Nos.11771025 and 11831001);supported by National Natural Science Foundation of China(Grant Nos.12071007 and 11831001)。
Let f : M → M be an Anosov diffeomorphism on a nilmanifold. We consider Birkhoff sums for a Holder continuous observation along periodic orbits. We show that if there are two Birkhoff sums distributed at both sides o...
Supported by NSFC(Grant Nos.11522104,11871132 and 11925102);Xinghai Jieqing and DUT19TD14 funds from Dalian University of Technology。
In this paper,we use a unified framework to study Poisson stable(including stationary,periodic,quasi-periodic,almost periodic,almost automorphic,Birkhoff recurrent,almost recurrent in the sense of Bebutov,Levitan almo...