Franz Merkl

496 total citations
29 papers, 200 citations indexed

About

Franz Merkl is a scholar working on Mathematical Physics, Statistics and Probability and Condensed Matter Physics. According to data from OpenAlex, Franz Merkl has authored 29 papers receiving a total of 200 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Mathematical Physics, 17 papers in Statistics and Probability and 7 papers in Condensed Matter Physics. Recurrent topics in Franz Merkl's work include Stochastic processes and statistical mechanics (16 papers), Markov Chains and Monte Carlo Methods (11 papers) and Theoretical and Computational Physics (7 papers). Franz Merkl is often cited by papers focused on Stochastic processes and statistical mechanics (16 papers), Markov Chains and Monte Carlo Methods (11 papers) and Theoretical and Computational Physics (7 papers). Franz Merkl collaborates with scholars based in Germany, Netherlands and United States. Franz Merkl's co-authors include Silke W. W. Rolles, Matthias Löwe, Martin Zerner, Herbert Wagner, Mario V. Wüthrich, Heinrich Matzinger, Margherita Disertori, Bas Edixhoven, Peter Eichelsbacher and Jean-Marc Couveignes and has published in prestigious journals such as The Annals of Statistics, Communications in Mathematical Physics and Communications on Pure and Applied Mathematics.

In The Last Decade

Franz Merkl

24 papers receiving 188 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Franz Merkl Germany 10 149 110 39 27 24 29 200
Silke W. W. Rolles Germany 10 130 0.9× 111 1.0× 29 0.7× 48 1.8× 26 1.1× 28 219
David J. Grabiner United States 7 130 0.9× 118 1.1× 26 0.7× 23 0.9× 38 1.6× 14 252
Hideki Tanemura Japan 11 258 1.7× 261 2.4× 60 1.5× 24 0.9× 19 0.8× 38 336
Benedek Valkó United States 10 223 1.5× 169 1.5× 63 1.6× 20 0.7× 12 0.5× 25 270
Amine Asselah France 10 188 1.3× 96 0.9× 74 1.9× 10 0.4× 13 0.5× 39 222
Nadine Guillotin‐Plantard France 9 139 0.9× 44 0.4× 18 0.5× 49 1.8× 14 0.6× 37 182
Bruno Schapira France 7 166 1.1× 71 0.6× 25 0.6× 12 0.4× 8 0.3× 41 198
Pietro Caputo Italy 11 233 1.6× 267 2.4× 77 2.0× 41 1.5× 26 1.1× 50 350
Eliran Subag Israel 7 75 0.5× 70 0.6× 82 2.1× 16 0.6× 70 2.9× 14 165
Louis‐Pierre Arguin United States 9 191 1.3× 78 0.7× 130 3.3× 17 0.6× 12 0.5× 26 246

Countries citing papers authored by Franz Merkl

Since Specialization
Citations

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

Fields of papers citing papers by Franz Merkl

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Franz Merkl

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

All Works

20 of 20 papers shown
1.
2.
Disertori, Margherita, Franz Merkl, & Silke W. W. Rolles. (2022). The non-linear supersymmetric hyperbolic sigma model on a complete graph with hierarchical interactions. Latin American Journal of Probability and Mathematical Statistics. 19(2). 1629–1629.
3.
Bauerschmidt, Roland, et al.. (2018). Dislocation Lines in Three-Dimensional Solids at Low Temperature. Apollo (University of Cambridge). 2 indexed citations
4.
Deckert, Dirk-André & Franz Merkl. (2016). External Field QED on Cauchy Surfaces for Varying Electromagnetic Fields. Communications in Mathematical Physics. 345(3). 973–1017.
5.
Disertori, Margherita, Franz Merkl, & Silke W. W. Rolles. (2014). Localization for a Nonlinear Sigma Model in a Strip Related to Vertex Reinforced Jump Processes. Communications in Mathematical Physics. 332(2). 783–825. 4 indexed citations
6.
Heydenreich, Markus, Franz Merkl, & Silke W. W. Rolles. (2014). Spontaneous breaking of rotational symmetry in the presence of defects. Electronic Journal of Probability. 19(none). 1 indexed citations
7.
Eichelsbacher, Peter, et al.. (2013). Limit Theorems in Probability, Statistics and Number Theory. Springer proceedings in mathematics & statistics. 8 indexed citations
8.
Merkl, Franz & Silke W. W. Rolles. (2009). Recurrence of edge-reinforced random walk on a two-dimensional graph. The Annals of Probability. 37(5). 14 indexed citations
9.
Merkl, Franz, et al.. (2008). The ‘magic formula’ for linearly edge‐reinforced random walks. Statistica Neerlandica. 62(3). 345–363. 5 indexed citations
10.
Merkl, Franz & Silke W. W. Rolles. (2008). Edge-reinforced random walk on one-dimensional periodic graphs. Probability Theory and Related Fields. 145(3-4). 323–349. 9 indexed citations
11.
Merkl, Franz, et al.. (2007). Optimal third root asymptotic bounds in the statistical estimation of thresholds. The Annals of Statistics. 35(5).
12.
Merkl, Franz & Silke W. W. Rolles. (2006). Bounding a Random Environment for Two-dimensional Edge-reinforced Random Walk. Data Archiving and Networked Services (DANS). 2006004. 5 indexed citations
13.
Edixhoven, Bas, et al.. (2006). On the computation of coefficients of a modular form. arXiv (Cornell University). 3 indexed citations
14.
Matzinger, Heinrich, et al.. (2004). Reconstructing a Multicolor Random Scenery seen along a Random Walk Path with Bounded Jumps. Electronic Journal of Probability. 9(none). 9 indexed citations
15.
Löwe, Matthias, Franz Merkl, & Silke W. W. Rolles. (2002). Moderate Deviations for Longest Increasing Subsequences: The Lower Tail. Journal of Theoretical Probability. 15(4). 1031–1047. 15 indexed citations
16.
Merkl, Franz & Martin Zerner. (2001). A Zero-One Law for Planar Random walks in Random Environment. The Annals of Probability. 29(4). 27 indexed citations
17.
Merkl, Franz & Mario V. Wüthrich. (2001). Annealed survival asymptotics for Brownian motion in a scaled Poissonian potential. Stochastic Processes and their Applications. 96(2). 191–211. 4 indexed citations
18.
Löwe, Matthias & Franz Merkl. (2001). Moderate deviations for longest increasing subsequences: The upper tail. Communications on Pure and Applied Mathematics. 54(12). 1488–1519. 20 indexed citations
19.
Löwe, Matthias, Franz Merkl, & Silke W. W. Rolles. (2000). Moderate deviations for longest increasing subsequences : the lower tail. TU/e Research Portal (Eindhoven University of Technology). 2000045. 2 indexed citations
20.
Merkl, Franz & Herbert Wagner. (1994). Recurrent random walks and the absence of continuous symmetry breaking on graphs. Journal of Statistical Physics. 75(1-2). 153–165. 20 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Silke W. W. Rolles Breakdown of academic impact, for papers by David J. Grabiner Breakdown of academic impact, for papers by Hideki Tanemura Breakdown of academic impact, for papers by Benedek Valkó Breakdown of academic impact, for papers by Amine Asselah Breakdown of academic impact, for papers by Nadine Guillotin‐Plantard Breakdown of academic impact, for papers by Bruno Schapira Breakdown of academic impact, for papers by Pietro Caputo Breakdown of academic impact, for papers by Eliran Subag Breakdown of academic impact, for papers by Louis‐Pierre Arguin
Rankless by CCL
2026