8 citations · 20 across the 10 of their papers we have counts for
14 papers
A brief survey of Benford's Law in dynamical systems
Arno Berger, Theodore P. Hill
This article provides a brief overview on a range of basic dynamical systems that conform to the logarithmic distribution of significant digits known as Benford's law. As presented…
On planar curves with position-dependent curvature
Arno Berger
Motivated by homothetic solutions to curvature-driven flows of planar curves, as well as their many physical applications, this work carries out a systematic study of oriented curv…
Intermittent Synchronization in finite-state random networks under Markov Perturbations
Arno Berger, Hong Qian, Shirou Wang +1
By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and ch…
The Mathematics of Benford's Law -- A Primer
Arno Berger, Theodore P. Hill
This article provides a concise overview of the main mathematical theory of Benford's law in a form accessible to scientists and students who have had first courses in calculus and…
The asymptotics of purely atomic one-dimensional Levy approximations
Arno Berger, Chuang Xu
For arbitrary Borel probability measures on the real line, necessary and sufficient conditions are presented that characterize best purely atomic approximations relative to the cla…
On the classification of finite-dimensional linear flows
Arno Berger, Anthony Wynne
New elementary, self-contained proofs are presented for the topological and the smooth classification theorems of linear flows on finite-dimensional normed spaces. The arguments, a…