4 citations · 7 across the 5 of their papers we have counts for
5 papers
Strongly distributional chaos in the sets of twelve different types of non-recurrent points
An Chen, Xiaobo Hou, Wanshan Lin +1
In present paper we mainly focus on non-recurrent dynamical orbits with empty syndetic center and show that twelve different statistical structures over mixing expanding maps or tr…
Laypunov Irregular Points With Distributional Chaos
An Chen, Xueting Tian
It follows from Oseledec Multiplicative Ergodic Theorem (or Kingmans Subadditional Ergodic Theorem) that the Lyapunov-irregular set of points for which the Oseledec averages of a g…
Limit Theorems for Descents in Permutations and Arithmetic Progressions in
Bryce Cai, Annie Chen, Ben Heller +1
We prove a quantitative local limit theorem for the number of descents in a random permutation. Our proof uses a conditioning argument and is based on bounding the characteristic f…
Distributional chaos in multifractal analysis, recurrence and transitivity
An Chen, Xueting Tian
There are lots of results to study dynamical complexity on irregular sets and level sets of ergodic average from the perspective of density in base space, Hausdorff dimension, Lebe…
Index Divisibility in Dynamical Sequences and Cyclic Orbits Modulo
Annie S. Chen, T. Alden Gassert, Katherine E. Stange
Let be an integral polynomial of degree at least 2, and consider the sequence , which is the orbit of under iteration by . Let $D_{d,…