Ludwig Arnold
- Control and Systems Engineering top 0.5%
- Statistical and Nonlinear Physics top 0.2%
- Computer Networks and Communications top 1%
- Finance top 0.5%
- Computational Theory and Mathematics top 0.5%
- Co-authors
- Volker WihstutzHans CrauelN. Sri NamachchivayaR. LeféverWerner HorsthemkeIgor ČhuešhovPeter ImkellerKlaus Reiner Schenk–Hoppé
- Topics
- Mathematical Dynamics and Fractals (16 papers)Stochastic processes and financial applications (13 papers)Stochastic processes and statistical mechanics (11 papers)
- Partner nations
- GermanyUnited StatesBelgium
In The Last Decade
Ludwig Arnold
64 papers receiving 4.9k citations
Hit Papers
Peers
Comparison fields: 5 of 141
- Control and Systems Engineering 1.8k
- Statistical and Nonlinear Physics 1.6k
- Computer Networks and Communications 1.1k
- Finance 1.0k
- Computational Theory and Mathematics 1.0k
Countries citing papers authored by Ludwig Arnold
This map shows the geographic impact of Ludwig Arnold's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ludwig Arnold with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ludwig Arnold more than expected).
Fields of papers citing papers by Ludwig Arnold
This network shows the impact of papers produced by Ludwig Arnold. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ludwig Arnold. The network helps show where Ludwig Arnold may publish in the future.
Co-authorship network of co-authors of Ludwig Arnold
This figure shows the co-authorship network connecting the top 25 collaborators of Ludwig Arnold. A scholar is included among the top collaborators of Ludwig Arnold based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ludwig Arnold. Ludwig Arnold is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 36 | |
| 2 | 42 | |
| 3 | 3 | |
| 4 | 13 | |
| 5 | 19 | |
| 6 | 10 | |
| 7 | 4 | |
| 8 | Generic properties of Lyapunov exponents | 3 |
| 9 | 6 | |
| 10 | 27 | |
| 11 | 15 | |
| 12 | 1 | |
| 13 | 53 | |
| 14 | 11 | |
| 15 | 1 | |
| 16 | 1 | |
| 17 | 14 | |
| 18 | 1 | |
| 19 | 1 | |
| 20 | 91 |
About Ludwig Arnold
Ludwig Arnold is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Finance, having authored 67 papers that have together received 5.4k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (16 papers), Stochastic processes and financial applications (13 papers) and Stochastic processes and statistical mechanics (11 papers). The work is most often cited by research in Statistical and Nonlinear Physics (1.6k citations), Mathematical Physics (994 citations) and Finance (1.0k citations). Ludwig Arnold has collaborated with scholars based in Germany, United States and Belgium. Frequent co-authors include Volker Wihstutz, Hans Crauel, N. Sri Namachchivaya, R. Leféver, Werner Horsthemke, Igor Čhuešhov, Peter Imkeller, Klaus Reiner Schenk–Hoppé, George Papanicolaou and Lloyd Demetrius. Their work appears in journals such as Physics Reports, Journal of Sound and Vibration and Lecture notes in mathematics.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.