Nannan Hao and Markus Heydenreich
Graph distances in scale-free percolation: the logarithmic case
Journal of Applied Probability 60, 295-313 (2023)
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Markus Heydenreich and Kilian Matzke
Expansion for the critical point of site percolation: the first three terms
Combinatorics, Probability and Computing 31, 430-454 (2022)
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Markus Heydenreich and Christian Hirsch
Extremal linkage networks
Extremes 25, 229-255 (2022)
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Markus Heydenreich, Remco van der Hofstad, Günter Last and Kilian Matzke
Lace expansion and mean-field behavior for the random connection model
preprint (arXiv, in print)
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Markus Heydenreich, Lorenzo Taggi and Niccolo Torri
Prudent walk in dimension six and higher
preprint (arXiv, in print)
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Peter Gracar, Markus Heydenreich, Christian Mönch and Peter Mörters
Recurrence versus transience for weight-dependent random connection models
Electronic Journal of Probability 27, 1-31 (2022)
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Matthew Dickson and Markus Heydenreich
The triangle condition for the marked random connection model
preprint (arXiv, in print)
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Diana Conache, Markus Heydenreich, Franz Merkl and Silke W. W. Rolles
Variance of voltages in a lattice Coulomb gas
Journal of Statistical Physics 186, 16 (2022)
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Markus Heydenreich
Fractal dimension of discrete sets and percolation
in: Fractal geometry and stochastics VI, ed. by Uta Freiberg, Hambly Ben, Hinz Michael and Winter Steffen, (Progress in Probability ; 76) 101-124 (Birkhäuser: Cham, 2021)
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Alexander Drewitz, Markus Heydenreich and Cécile Mailler
Voronoi cells in random split trees
preprint (arXiv, in print)
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Markus Heydenreich and Kilian Matzke
Critical site percolation in high dimension
Journal of Statistical Physics 181, 816-853 (2020)
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Nina Gantert, Markus Heydenreich and Timo Hirscher
Strictly weak consensus in the uniform compass model on Z
Bernoulli 26, 1269-1293 (2020)
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Peter Gracar, Markus Heydenreich, Christian Mönch and Peter Mörters
Transience versus recurrence for scale-free spatial networks
in: Algorithms and models for the web graph: 17th International Workshop, WAW 2020, Warsaw, Poland, September 21–22, 2020, proceedings, ed. by Bogumił Kamiński, Prałat Paweł and Szufel Przemysław, (Lecture Notes in Computer Science ; 12091) 96-110 (Springer: Cham, 2020)
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Markus Heydenreich and Christian Hirsch
A spatial small-world graph arising from activity-based reinforcement
in: Algorithms and models for the web graph: 16th International Workshop, WAW 2019, Brisbane, QLD, Australia, July 6–7, 2019, proceedings, ed. by Avrachenkov Konstantin, Prałat Paweł and Ye Nan, (Lecture Notes in Computer Science ; 11631) 102-114 (Springer: Cham, 2019)
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Roland Bauerschmidt, Diana Conache, Markus Heydenreich, Franz Merkl and Silke W. W. Rolles
Dislocation lines in three-dimensional solids at low temperature
Annales Henri Poincaré 20, 3019-3057 (2019)
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Satoshi Handa, Markus Heydenreich and Akira Sakai
Mean-field bound on the 1-Arm exponent for ising ferromagnets in high dimensions
in: Sojourns in probability theory and statistical physics - I: spin glasses and statistical mechanics, a Festschrift for Charles M. Newman, ed. by Vladas Sidoravicius, (Springer Proceedings in Mathematics & Statistics ; 298) 183-198 (Springer: Singapore, 2019)
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Stefan Adams, Michael Baake and Markus Heydenreich
Mini-workshop: mathematics of crystallisation
Oberwolfach Reports 16, 1071-1111 (2019)
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Markus Heydenreich and Leonid Kolesnikov
The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice
Journal of Mathematical Physics 59, 043301 (2018)
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Markus Heydenreich, Christian Hirsch and Daniel Valesin
Uniformity of hitting times of the contact process
ALEA, Latin American Journal of Probability and Mathematical Statistics XV, 233-245 (2018)
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Stein Andreas Bethuelsen and Markus Heydenreich
Law of large numbers for random walks on attractive spin-flip dynamics
Stochastic Processes and their Applications 127, 2346-2372 (2017)
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Marinus Gottschau, Markus Heydenreich, Kilian Matzke and Cristina Toninelli
Phase transition for a non-attractive infection process in heterogeneous environment
preprint (arXiv, 2017)
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Markus Heydenreich and Remco van der Hofstad
Progress in high-dimensional percolation and random graphs
(CRM Short Courses) (Springer: Cham, 2017)
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Markus Heydenreich, Tim Hulshof and Joost Jorritsma
Structures in supercritical scale-free percolation
The Annals of Applied Probability 27, 2569-2604 (2017)
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J. van den Berg, J. E. Björnberg and Markus Heydenreich
Sharpness versus robustness of the percolation transition in 2d contact processes
Stochastic Processes and their Applications 125, 513-537 (2015)
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Markus Heydenreich, Remco van der Hofstad and Tim Hulshof
High-dimensional incipient infinite clusters revisited
Journal of Statistical Physics 155, 966-1025 (2014)
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Markus Heydenreich, Remco van der Hofstad and Tim Hulshof
Random walk on the high-dimensional IIC
Communications in Mathematical Physics 329, 57-115 (2014)
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Markus Heydenreich, Franz Merkl and Silke Rolles
Spontaneous breaking of rotational symmetry in the presence of defects
Electronic Journal of Probability 19, 1-17 (2014)
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J. Bierkens, H. Blok, Markus Heydenreich, R. Núñez Queija, P. van Meurs, F. Spieksma and J. Tuitman
Estimates on returnable packaging material
in: Proceedings of the 90th European Study Group Mathematics in Industry (SWI 2013), Leiden, The Netherlands, January 28 - February 1, 2013, ed. by Markus Heydenreich, S. C. Hille, V. Rottschäfer, F. Spieksma, E. Verbitskiy, 31-49 (Lorentz Center: Leiden, 2013)
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Proceedings of the 90th European Study Group Mathematics in Industry (SWI 2013), Leiden, The Netherlands, January 28 - February 1, 2013
in: , ed. by Markus Heydenreich, Sander Hille, Vivi Rottschäfer, Flora Spieksma, Evgeny Verbitskiy, (Lorentz Center: Leiden, 2013)
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Markus Heydenreich
Long-range self-avoiding walk converges to α-stable processes
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 47, 20-42 (2011)
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Markus Heydenreich and Remco van der Hofstad
Random graph asymptotics on high-dimensional tori II: volume, diameter and mixing time
Probability Theory and Related Fields 149, 397-415 (2011)
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Correction published at: https://doi.org/10.1007/s00440-019-00929-x

Markus Heydenreich, Remco van der Hofstad and Georgi Radulov
Functionals of Brownian bridges arising in the current mismatch in D/A converters
Probability in the Engineering and Informational Sciences 23, 149-172 (2009)
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Markus Heydenreich
A lace-expansion analysis of random spatial models
(Technische Universiteit Eindhoven: Eidhoven, 2008)
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Phd Thesis 1, Technische Universiteit Eindhoven, 2008

Markus Heydenreich, Remco van der Hofstad and Akira Sakai
Mean-field behavior for long- and finite range ising model, percolation and self-avoiding walk
Journal of Statistical Physics 132, 1001-1049 (2008)
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Georgi I. Radulov, Markus Heydenreich, Remco W. van der Hofstad, Johannes A. Hegt and Arthur H. M. van Roermund
Brownian-Bridge-based statistical analysis of the DAC INL caused by current mismatch
IEEE Transactions on Circuits and Systems II: Express Briefs 54, 146-150 (2007)
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Markus Heydenreich and Remco van der Hofstad
Random graph asymptotics on high-dimensional tori
Communications in Mathematical Physics 270, 335-358 (2007)
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Jürgen Gärtner and Markus Heydenreich
Annealed asymptotics for the parabolic Anderson model with a moving catalyst
Stochastic Processes and their Applications 116, 1511-1529 (2006)
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Ph. Cara, I. Corro Ramos, T. J. Dijkema, L. Hakobyan, Markus Heydenreich, E. Jochemsz, T. Mussche, M. Popoviciu-Draisma and J. Resing
Divide and conquer: optimizing the release policy of software versions
in: Mathematics in industry: scientific proceedings of the 55th European Study Group with Industry, January 30 to February 3, 2006, in Eindhoven, ed. by E. Fledderus, R. W. van der Hofstad, E. Jochemsz, J. Molenaar, T. Mussche, M. A. Peletier, G. Prokert, 51-68 (Technische Universiteit Eindhoven: Eindhoven, 2006)
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Markus Heydenreich
Intermittency in the parabolic Anderson model with catalyst
(2004)
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Diplomarbeit, Technische Universität Berlin, 2004