具有许多自联接的素数系统

IF 0.7 1区数学 Q2 MATHEMATICS

Journal of Modern Dynamics Pub Date : 2019-02-06 DOI:10.3934/JMD.2021007

J. Chaika, Bryna Kra

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引用次数: 2

摘要

我们构造了一个秩为1的刚性素数变换，它不是拟简单的，并且它的自连接形成了Paulsen单纯形。这似乎是自联接形成Paulsen单纯形的素数系统的第一个例子，也是非拟简单素数系统的一个例子。

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A prime system with many self-joinings

We construct a rigid, rank 1, prime transformation that is not quasi-simple and whose self-joinings form a Paulsen simplex. This seems to be the first example of a prime system whose self-joinings form a Paulsen simplex and the first example of a prime system that is not quasi-simple.

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来源期刊

Journal of Modern Dynamics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Modern Dynamics (JMD) is dedicated to publishing research articles in active and promising areas in the theory of dynamical systems with particular emphasis on the mutual interaction between dynamics and other major areas of mathematical research, including: Number theory Symplectic geometry Differential geometry Rigidity Quantum chaos Teichmüller theory Geometric group theory Harmonic analysis on manifolds. The journal is published by the American Institute of Mathematical Sciences (AIMS) with the support of the Anatole Katok Center for Dynamical Systems and Geometry at the Pennsylvania State University.