Markus Heydenreich

491 total citations
24 papers, 196 citations indexed

About

Markus Heydenreich is a scholar working on Mathematical Physics, Condensed Matter Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Markus Heydenreich has authored 24 papers receiving a total of 196 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Mathematical Physics, 13 papers in Condensed Matter Physics and 11 papers in Statistical and Nonlinear Physics. Recurrent topics in Markus Heydenreich's work include Stochastic processes and statistical mechanics (16 papers), Theoretical and Computational Physics (13 papers) and Complex Network Analysis Techniques (7 papers). Markus Heydenreich is often cited by papers focused on Stochastic processes and statistical mechanics (16 papers), Theoretical and Computational Physics (13 papers) and Complex Network Analysis Techniques (7 papers). Markus Heydenreich collaborates with scholars based in Netherlands, Germany and Sweden. Markus Heydenreich's co-authors include Remco van der Hofstad, Christian Mönch, Peter Mörters, Arthur van Roermund, Jürgen Gärtner, Nina Gantert, Silke W. W. Rolles, Jacob van den Berg, Franz Merkl and Roland Bauerschmidt and has published in prestigious journals such as Communications in Mathematical Physics, Journal of Statistical Physics and Probability Theory and Related Fields.

In The Last Decade

Markus Heydenreich

20 papers receiving 193 citations

Peers

Markus Heydenreich

CMP

SNP

CTM

Lewis Bowen United States

Vincent Tassion Switzerland

Steffen Winter Germany

Elena Kosygina United States

Thierry Delmotte France

Alexei Yu. Karlovich Portugal

Balázs Bárány Hungary

Erin P. J. Pearse United States

Corinna Ulcigrai United Kingdom

Juan Rivera‐Letelier Chile

Lewis Bowen United States

Markus Heydenreich

325 ×2.0

45 ×0.4

30 ×0.3

CMP

29 ×0.5

SNP

119 ×6.3

CTM

Citations per year, relative to Markus Heydenreich Markus Heydenreich (= 1×) peers Lewis Bowen

Countries citing papers authored by Markus Heydenreich

Since Specialization

Citations

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

Fields of papers citing papers by Markus Heydenreich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Markus Heydenreich

This figure shows the co-authorship network connecting the top 25 collaborators of Markus Heydenreich. A scholar is included among the top collaborators of Markus Heydenreich 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 Markus Heydenreich. Markus Heydenreich 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

Heydenreich, Markus, et al.. (2024). Voronoi cells in random split trees. OPUS (Augsburg University). 7. 123–159.

Heydenreich, Markus, et al.. (2022). Graph distances in scale-free percolation: the logarithmic case. Journal of Applied Probability. 60(1). 295–313. 4 indexed citations

Heydenreich, Markus, et al.. (2022). Recurrence versus transience for weight-dependent random connection models. Electronic Journal of Probability. 27(none). 13 indexed citations

Gantert, Nina, et al.. (2020). Strictly weak consensus in the uniform compass model on Z. KTH Publication Database DiVA (KTH Royal Institute of Technology). 5 indexed citations

Adams, Stefan, Michael Baake, & Markus Heydenreich. (2020). Mini-Workshop: Mathematics of Crystallisation. Oberwolfach Reports. 16(2). 1071–1111. 1 indexed citations

Heydenreich, Markus, et al.. (2020). Critical Site Percolation in High Dimension. Journal of Statistical Physics. 181(3). 816–853.

Heydenreich, Markus & Remco van der Hofstad. (2019). Correction to: Random graph asymptotics on high-dimensional tori II: volume, diameter and mixing time. Probability Theory and Related Fields. 175(3-4). 1183–1185. 1 indexed citations

Bauerschmidt, Roland, et al.. (2018). Dislocation Lines in Three-Dimensional Solids at Low Temperature. Apollo (University of Cambridge). 2 indexed citations

Heydenreich, Markus, et al.. (2017). Structures in supercritical scale-free percolation. The Annals of Applied Probability. 27(4). 13 indexed citations

10.

Heydenreich, Markus & Remco van der Hofstad. (2017). Progress in High-Dimensional Percolation and Random Graphs. CERN Document Server (European Organization for Nuclear Research). 46 indexed citations

11.

Heydenreich, Markus, et al.. (2016). Law of large numbers for random walks on attractive spin-flip dynamics. Stochastic Processes and their Applications. 127(7). 2346–2372. 2 indexed citations

12.

Berg, Jacob van den, et al.. (2014). Sharpness versus robustness of the percolation transition in 2d contact processes. Stochastic Processes and their Applications. 125(2). 513–537. 3 indexed citations

13.

Heydenreich, Markus, et al.. (2014). High-Dimensional Incipient Infinite Clusters Revisited. Journal of Statistical Physics. 155(5). 966–1025. 12 indexed citations

14.

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

15.

Heydenreich, Markus, et al.. (2014). Random Walk on the High-Dimensional IIC. Communications in Mathematical Physics. 329(1). 57–115. 9 indexed citations

16.

Heydenreich, Markus, et al.. (2011). High-dimensional incipient infinite clusters revisited. arXiv (Cornell University). 1 indexed citations

17.

Heydenreich, Markus & Remco van der Hofstad. (2009). Random graph asymptotics on high-dimensional tori II: volume, diameter and mixing time. Probability Theory and Related Fields. 149(3-4). 397–415. 25 indexed citations

18.

Heydenreich, Markus, et al.. (2008). FUNCTIONALS OF BROWNIAN BRIDGES ARISING IN THE CURRENT MISMATCH IN D/A CONVERTERS. Probability in the Engineering and Informational Sciences. 23(1). 149–172.

19.

Heydenreich, Markus. (2008). Long-range self-avoiding walk converges to alpha-stable processes. ArXiv.org. 2008038. 4 indexed citations

20.

Gärtner, Jürgen & Markus Heydenreich. (2006). Annealed asymptotics for the parabolic Anderson model with a moving catalyst. Stochastic Processes and their Applications. 116(11). 1511–1529. 4 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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