Avalanche dynamics

被引：2
|
作者：
Denker, Manfred [1 ]
Levina, Anna [2 ,3 ]
机构：
[1] Penn State Univ, McAllister Room 230, University Pk, PA 16802 USA
[2] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany
[3] Bernstein Ctr Computat Neurosci, Gottingen Fassberg 12, D-37077 Gottingen, Germany
来源：
STOCHASTICS AND DYNAMICS | 2016年 / 16卷 / 02期
关键词：
Random dynamical system; group action; rectangle exchange transformation; ergodicity; topological transitivity; SELF-ORGANIZED CRITICALITY;
D O I：
10.1142/S0219493716600054
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
The avalanche transformation as a model for avalanches in neural dynamics was introduced in [8] in 2008. Here we discuss this transformation in terms of group actions, random dynamics and skew products with a finite invariant measure. The results are based on [8]. Some open problems are mentioned.
引用
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页数：18
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