Franz Hofbauer

2.1k total citations
49 papers, 1.0k citations indexed

About

Franz Hofbauer is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Franz Hofbauer has authored 49 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 12 papers in Geometry and Topology and 10 papers in Statistical and Nonlinear Physics. Recurrent topics in Franz Hofbauer's work include Mathematical Dynamics and Fractals (33 papers), advanced mathematical theories (11 papers) and Quantum chaos and dynamical systems (10 papers). Franz Hofbauer is often cited by papers focused on Mathematical Dynamics and Fractals (33 papers), advanced mathematical theories (11 papers) and Quantum chaos and dynamical systems (10 papers). Franz Hofbauer collaborates with scholars based in Austria, Germany and Spain. Franz Hofbauer's co-authors include Gerhard Keller, Georgi Shilyashki, Helmut Pfützner, Mariusz Urbański, Martin Aigner, Martin Kučera, Jan Anger, U. Schmid, E. Wistrela and J. L. Sánchez-Rojas and has published in prestigious journals such as Sensors and Actuators B Chemical, Communications in Mathematical Physics and Transactions of the American Mathematical Society.

In The Last Decade

Franz Hofbauer

47 papers receiving 926 citations

Peers

Franz Hofbauer

SNP

CTM

EOMM

David Singerman United Kingdom

William D. Kalies United States

R. S. Hijjawi Jordan

Martine Queffélec France

Hannu Reittu Finland

Radu Ignat France

Stan Alama Canada

Takashi Tsuboi Japan

R. Álvarez-Nodarse Spain

Tetsuya Hattori Japan

David Singerman United Kingdom

Franz Hofbauer

680 ×0.9

62 ×0.1

SNP

973 ×4.4

133 ×1.0

CTM

13 ×0.1

EOMM

Citations per year, relative to Franz Hofbauer Franz Hofbauer (= 1×) peers David Singerman

Countries citing papers authored by Franz Hofbauer

Since Specialization

Citations

This map shows the geographic impact of Franz Hofbauer'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 Franz Hofbauer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Franz Hofbauer more than expected).

Fields of papers citing papers by Franz Hofbauer

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Franz Hofbauer. 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 Franz Hofbauer. The network helps show where Franz Hofbauer may publish in the future.

Co-authorship network of co-authors of Franz Hofbauer

This figure shows the co-authorship network connecting the top 25 collaborators of Franz Hofbauer. A scholar is included among the top collaborators of Franz Hofbauer 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 Franz Hofbauer. Franz Hofbauer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Hofbauer, Franz, et al.. (2023). Investigations of electrical interference of vertical earth rod arrangements. e+i Elektrotechnik und Informationstechnik. 140(1). 132–140. 1 indexed citations

Kučera, Martin, et al.. (2018). Q-factor enhancement of piezoelectric MEMS resonators in liquids with active feedback. Sensors and Actuators B Chemical. 260. 198–203. 7 indexed citations

Hofbauer, Franz, et al.. (2014). Rise-of-temperature method for building factor distribution in 1-phase model transformer core interior considering high DC bias. International Journal of Applied Electromagnetics and Mechanics. 44(3-4). 349–354. 5 indexed citations

Shilyashki, Georgi, et al.. (2014). The Impact of Off-Plane Flux on Losses and Magnetostriction of Transformer Core Steel. IEEE Transactions on Magnetics. 50(11). 1–4. 17 indexed citations

Pfützner, Helmut, et al.. (2011). Dynamics effects on losses due to rotational magnetization. PRZEGLĄD ELEKTROTECHNICZNY. 29–32. 1 indexed citations

Pfützner, Helmut, et al.. (2011). Rotational Magnetization in Transformer Cores—A Review. IEEE Transactions on Magnetics. 47(11). 4523–4533. 43 indexed citations

Hofbauer, Franz, et al.. (2007). Hausdorff dimension for some hyperbolic attractors with overlaps and without finite Markov partition. Ergodic Theory and Dynamical Systems. 27(4). 1143–1165. 4 indexed citations

Hofbauer, Franz, et al.. (2004). Intermingled basins in a two species system. Journal of Mathematical Biology. 49(3). 293–309. 13 indexed citations

Hofbauer, Franz, et al.. (1997). Methode zur Zustandsbewertung von Anlagen der Energietechnik. e+i Elektrotechnik und Informationstechnik. 114(6). 325–333.

10.

Hofbauer, Franz. (1996). The box dimension of completely invariant subsets for expanding piecewise monotonic transformations. Monatshefte für Mathematik. 121(3). 199–211. 5 indexed citations

11.

Hofbauer, Franz & Mariusz Urbański. (1994). Fractal Properties of Invariant Subsets for Piecewise Monotonic Maps on the Interval. Transactions of the American Mathematical Society. 343(2). 659–659. 2 indexed citations

12.

Hofbauer, Franz & Mariusz Urbański. (1994). Fractal properties of invariant subsets for piecewise monotonic maps on the interval. Transactions of the American Mathematical Society. 343(2). 659–673. 7 indexed citations

13.

Hofbauer, Franz & Gerhard Keller. (1990). Some remarks on recent results about S-unimodal maps. French digital mathematics library (Numdam). 53(4). 413–425. 17 indexed citations

14.

Hofbauer, Franz & Gerhard Keller. (1990). Quadratic maps without asymptotic measure. Communications in Mathematical Physics. 127(2). 319–337. 67 indexed citations

15.

Hofbauer, Franz. (1985). Periodic points for piecewise monotonic transformations. Ergodic Theory and Dynamical Systems. 5(2). 237–256. 12 indexed citations

16.

Hofbauer, Franz & Gerhard Keller. (1982). Ergodic properties of invariant measures for piecewise monotonic transformations. Mathematische Zeitschrift. 180(1). 119–140. 174 indexed citations

17.

Hofbauer, Franz & Gerhard Keller. (1982). Equilibrium states for piecewise monotonic transformations. Ergodic Theory and Dynamical Systems. 2(1). 23–43. 35 indexed citations

18.

Hofbauer, Franz. (1981). On intrinsic ergodicity of piecewise monotonic transformations with positive entropy II. Israel Journal of Mathematics. 38(1-2). 107–115. 80 indexed citations

19.

Hofbauer, Franz. (1977). Examples for the nonuniqueness of the equilibrium state. Transactions of the American Mathematical Society. 228(0). 223–241. 57 indexed citations

20.

Hofbauer, Franz. (1977). Examples for the Nonuniqueness of the Equilibrium State. Transactions of the American Mathematical Society. 228. 223–223. 13 indexed citations

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.

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