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pro vyhledávání: '"Jiang, Yunping"'
the action of the function on its Julia set is still ergodic if some, but not all of the asymptotic values land on infinity, and the remaining ones land on a compact repeller. In this paper, we complete the characterization of ergodicity for Nevanlin
Externí odkaz:
http://arxiv.org/abs/2409.12127
Autor:
Jiang, Yunping, Liu, Jessica
We define a uniformly behaved in ${\mathbb N}$ arithmetic sequence ${\bf a}$ and an ${\bf a}$-mean Lyapunov stable dynamical system $f$. We consider the time-average of a continuous function $\phi$ along the ${\bf a}$-orbit of $f$ up to $N$. The main
Externí odkaz:
http://arxiv.org/abs/2311.16928
We study Nevanlinna functions f that are transcendental meromorphic functions having N asymptotic values and no critical values. In [KK] it was proved that if the orbits of all the asymptotic values have accumulation sets that are compact and on whic
Externí odkaz:
http://arxiv.org/abs/2309.16927
We study transcendental meromorphic functions having two prepole asymptotic values and no critical values. We prove that these functions acting on their Julia sets are non-ergodic, which illustrates the antithesis of the Keen-Kotus result in [KK2] on
Externí odkaz:
http://arxiv.org/abs/2301.00662
Autor:
Jiang, Yunping
In this paper, we show how geometry plays in the study of the Furstenberg conjecture (refer to~\cite{F}). Let $p>1$ and $q>1$ be two relative prime positive integers. We prove that a non-atomic $p$- and $q$-invariant measure having balanced geometry
Externí odkaz:
http://arxiv.org/abs/2206.13569
Autor:
Jiang, Yunping
I have investigated orders of oscillating sequences motivated by Sarnak's conjecture in~\cite{JPAMS} and proved that an oscillating sequence of order $d$ is linearly disjoint from affine distal flows on the $d$-torus. One of the consequences is that
Externí odkaz:
http://arxiv.org/abs/2201.08800
Publikováno v:
Proc. Amer. Math. Soc. 150 (2022), 3581-3593
Let $f$ and $g$ be two circle endomorphisms of degree $d\geq 2$ such that each has bounded geometry, preserves the Lebesgue measure, and fixes $1$. Let $h$ fixing $1$ be the topological conjugacy from $f$ to $g$. That is, $h\circ f=g\circ h$. We prov
Externí odkaz:
http://arxiv.org/abs/2101.06870
In this paper we continue the study, began in \cite{CJK2}, of the bifurcation locus of a family of meromorphic functions with two asymptotic values, no critical values and an attracting fixed point. If we fix the multiplier of the fixed point, either
Externí odkaz:
http://arxiv.org/abs/2001.11454
This paper is part of a program to understand the parameter spaces of dynamical systems generated by meromorphic functions with finitely many singular values. We give a full description of the parameter space for a specific family based on the expone
Externí odkaz:
http://arxiv.org/abs/1908.06028
Autor:
Jiang, Yunping
Publikováno v:
CONFORMAL GEOMETRY AND DYNAMICS, AMS, Volume 24 (2020), 109-117
We construct an example of a holomorphic motion of a five-point subset of the Riemann sphere over an annulus such that it satisfies the zero winding number condition but is not fully extendable.
Comment: 9 pages, 4 figures
Comment: 9 pages, 4 figures
Externí odkaz:
http://arxiv.org/abs/1804.04067