Arno Berger

Available identifiers

List of research outcomes

Publication	Date of Publication	Type
Circling the uniform distribution	2023-08-07	Paper
A Beautiful Inequality by Saint-Venant and Pólya Revisited	2023-03-07	Paper
A note on the distributions of $(\log n) \bmod 1$	2022-12-13	Paper
The mathematics of Benford's law: a primer	2021-12-27	Paper
On planar curves with position-dependent curvature	2021-07-15	Paper
Intermittent synchronization in finite-state random networks under Markov perturbations	2021-06-08	Paper
Asymptotics of one-dimensional Lévy approximations	2020-05-19	Paper
On the classification of finite-dimensional linear flows	2020-02-18	Paper
Linear independence of trigonometric numbers	2020-02-07	Paper
Best finite approximations of Benford's law	2019-07-18	Paper
Best finite constrained approximations of one-dimensional probabilities	2019-05-31	Paper
On the significands of uniform random variables	2018-09-26	Paper
A Remark on Finite‐Time Hyperbolicity	2018-08-23	Paper
More Grade School Triangles	2018-07-13	Paper
An Improved Maximum Allowable Transfer Interval for $L^{p}$-Stability of Networked Control Systems	2017-08-25	Paper
WHAT IS...Benford's Law?	2017-04-11	Paper
A characterization of Benford's law in discrete-time linear systems	2016-06-27	Paper
A characterization of Benford's law in discrete-time linear systems	2015-07-17	Paper
An Introduction to Benford's Law	2015-06-17	Paper
Most linear flows on $\mathbb{R}^d$ are Benford	2015-05-26	Paper
Invariant measures for general induced maps and towers	2013-11-11	Paper
A LIMIT THEOREM FOR OCCUPATION MEASURES OF LÉVY PROCESSES IN COMPACT GROUPS	2013-03-05	Paper
More on finite-time hyperbolicity	2012-07-16	Paper
A basic theory of Benford's law	2012-06-28	Paper
Finite-state Markov Chains Obey Benford’s Law	2012-01-16	Paper
On finite-time hyperbolicity	2011-12-19	Paper
Benford's law strikes back: no simple explanation in sight for mathematical gem	2011-05-19	Paper
Some dynamical properties of Benford sequences	2011-03-28	Paper
Fundamental Flaws in Feller's Classical Derivation of Benford's Law	2010-05-14	Paper
A definition of spectrum for differential equations on finite time	2009-01-13	Paper
A characterisation of Newton maps	2008-11-26	Paper
Nonautonomous finite-time dynamics	2008-07-29	Paper
Counting uniformly attracting solutions of nonautonomous differential equations	2008-07-11	Paper
Uniformly attracting solutions of nonautonomous differential equations	2008-06-10	Paper
Scale-distortion inequalities for mantissas of finite data sets	2008-04-09	Paper
Newton's Method Obeys Benford's Law	2008-03-06	Paper
On the distribution of mantissae in nonautonomous difference equations	2008-01-09	Paper
CHAOS IN SPATIALLY EXTENDED SYSTEMS VIA THE PEAK-CROSSING BIFURCATION	2006-06-23	Paper
BENFORD'S LAW IN POWER-LIKE DYNAMICAL SYSTEMS	2005-12-09	Paper
Propagation of small waves in inextensible strings	2005-09-05	Paper
Multidimensional dynamical systems and Benford's law	2005-06-21	Paper
One-dimensional dynamical systems and Benford’s law	2004-10-05	Paper
https://portal.mardi4nfdi.de/entity/Q4819198	2004-09-24	Paper
On the gap between random dynamical systems and continuous skew products	2004-03-15	Paper
Chaos and chance. An introduction to stochastic aspects of dynamics	2001-11-13	Paper
Strong Solutions for Reaction-Drift-Diffusion Problems in Semiconductor Technology	2001-01-01	Paper
Rigorous error bounds for RK methods in the proof of chaotic behaviour	2000-07-20	Paper
https://portal.mardi4nfdi.de/entity/Q4137749	1976-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q4062332	1975-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q5652465	1972-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q5643479	1971-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q5644930	1971-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q5605561	1970-01-01	Paper
https://portal.mardi4nfdi.de/entity/Q5566186	1968-01-01	Paper

Research outcomes over time

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MaRDI profile type	MaRDI person profile
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