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Heydenreich, Markus

Co-Author Distance
Author ID: heydenreich.markus Recent zbMATH articles by "Heydenreich, Markus"
Published as: Heydenreich, Markus; Heydenreich, M.
External Links: MGP
Documents Indexed: 37 Publications since 2006, including 1 Book and 7 Additional arXiv Preprints
2 Contributions as Editor
Co-Authors: 38 Co-Authors with 37 Joint Publications
827 Co-Co-Authors
all top 5

Co-Authors

2 single-authored
11 van der Hofstad, Remco W.
5 Hulshof, Tim
4 Hirsch, Christian
4 Matzke, Kilian
3 Merkl, Franz
3 Rolles, Silke W. W.
2 Conache, Diana
2 Dickson, Matthew
2 Gracar, Peter
2 Mailler, Cécile
2 Miermont, Grégory
2 Mönch, Christian
2 Mörters, Peter
2 Sakai, Akira
1 Adams, Stefan
1 Amir, Gideon
1 Baake, Michael
1 Bauerschmidt, Roland
1 Bethuelsen, Stein Andreas
1 Björnberg, Jakob Erik
1 Drewitz, Alexander
1 Gantert, Nina
1 Gärtner, Jürgen
1 Gottschau, Marinus
1 Handa, Satoshi
1 Hao, Nannan
1 Hirscher, Timo
1 Holmes, Mark P.
1 Jorritsma, Joost
1 Kleptsyn, Victor A.
1 Kolesnikov, Leonid
1 Last, Günter
1 Radulov, Georgi
1 Taggi, Lorenzo
1 Toninelli, Cristina
1 Torri, Niccolò
1 Valesin, Daniel
1 van den Berg, Rob
all top 5

Serials

4 Journal of Statistical Physics
3 Stochastic Processes and their Applications
2 Communications in Mathematical Physics
2 Probability Theory and Related Fields
2 Electronic Journal of Probability
2 Oberwolfach Reports
1 Journal of Mathematical Physics
1 Journal of Applied Probability
1 The Annals of Applied Probability
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Combinatorics, Probability and Computing
1 Bernoulli
1 Markov Processes and Related Fields
1 Extremes
1 Probability in the Engineering and Informational Sciences
1 Annales Henri Poincaré
1 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 CRM Short Courses
1 Annales Henri Lebesgue
all top 5

Fields

35 Probability theory and stochastic processes (60-XX)
29 Statistical mechanics, structure of matter (82-XX)
12 Combinatorics (05-XX)
2 General and overarching topics; collections (00-XX)
2 Partial differential equations (35-XX)
2 Biology and other natural sciences (92-XX)
1 Measure and integration (28-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Quantum theory (81-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

26 Publications have been cited 231 times in 159 Documents Cited by ▼ Year ▼
Progress in high-dimensional percolation and random graphs. Zbl 1445.60003
Heydenreich, Markus; van der Hofstad, Remco
55
2017
Mean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk. Zbl 1152.82007
Heydenreich, Markus; van der Hofstad, Remco; Sakai, Akira
35
2008
Random graph asymptotics on high-dimensional tori. II: volume, diameter and mixing time. Zbl 1229.60108
Heydenreich, Markus; van der Hofstad, Remco
21
2011
Random graph asymptotics on high-dimensional tori. Zbl 1128.82010
Heydenreich, Markus; van der Hofstad, Remco
21
2007
Structures in supercritical scale-free percolation. Zbl 1373.60158
Heydenreich, Markus; Hulshof, Tim; Jorritsma, Joost
18
2017
Random walk on the high-dimensional IIC. Zbl 1302.82050
Heydenreich, Markus; van der Hofstad, Remco; Hulshof, Tim
13
2014
Recurrence versus transience for weight-dependent random connection models. Zbl 1491.05168
Gracar, Peter; Heydenreich, Markus; Mönch, Christian; Mörters, Peter
12
2022
Long-range self-avoiding walk converges to \(\alpha\)-stable processes. Zbl 1210.82055
Heydenreich, Markus
8
2011
High-dimensional incipient infinite clusters revisited. Zbl 1296.82029
Heydenreich, Markus; van der Hofstad, Remco; Hulshof, Tim
7
2014
Spontaneous breaking of rotational symmetry in the presence of defects. Zbl 1307.60142
Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
7
2014
Annealed asymptotics for the parabolic Anderson model with a moving catalyst. Zbl 1102.60058
Gärtner, Jürgen; Heydenreich, Markus
6
2006
Law of large numbers for random walks on attractive spin-flip dynamics. Zbl 1372.82037
Bethuelsen, Stein Andreas; Heydenreich, Markus
4
2017
Strictly weak consensus in the uniform compass model on \(\mathbb{Z}\). Zbl 1466.60206
Gantert, Nina; Heydenreich, Markus; Hirscher, Timo
3
2020
Graph distances in scale-free percolation: the logarithmic case. Zbl 1515.60312
Hao, Nannan; Heydenreich, Markus
3
2023
Dislocation lines in three-dimensional solids at low temperature. Zbl 1479.60189
Bauerschmidt, Roland; Conache, Diana; Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
3
2019
Critical site percolation in high dimension. Zbl 1458.60101
Heydenreich, Markus; Matzke, Kilian
3
2020
Expansion for the critical point of site percolation: the first three terms. Zbl 1507.60131
Heydenreich, Markus; Matzke, Kilian
2
2022
A spatial small-world graph arising from activity-based reinforcement. Zbl 1534.68170
Heydenreich, Markus; Hirsch, Christian
2
2019
Phase transition for a non-attractive infection process in heterogeneous environment. Zbl 1398.82035
Gottschau, M.; Heydenreich, M.; Matzke, K.; Toninelli, C.
1
2018
Extremal linkage networks. Zbl 1502.60083
Heydenreich, Markus; Hirsch, Christian
1
2022
Mini-workshop: Mathematics of crystallisation. Abstracts from the mini-workshop held April 7–13, 2019. Zbl 1439.00040
1
2019
Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions. Zbl 1446.82011
Handa, Satoshi; Heydenreich, Markus; Sakai, Akira
1
2019
The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice. Zbl 1390.82069
Heydenreich, Markus; Kolesnikov, Leonid
1
2018
Variance of voltages in a lattice Coulomb gas. Zbl 1482.82008
Conache, Diana; Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
1
2022
Sharpness versus robustness of the percolation transition in 2D contact processes. Zbl 1325.60164
van den Berg, J.; Björnberg, J. E.; Heydenreich, M.
1
2015
Transience versus recurrence for scale-free spatial networks. Zbl 1509.62399
Gracar, Peter; Heydenreich, Markus; Mönch, Christian; Mörters, Peter
1
2020
Graph distances in scale-free percolation: the logarithmic case. Zbl 1515.60312
Hao, Nannan; Heydenreich, Markus
3
2023
Recurrence versus transience for weight-dependent random connection models. Zbl 1491.05168
Gracar, Peter; Heydenreich, Markus; Mönch, Christian; Mörters, Peter
12
2022
Expansion for the critical point of site percolation: the first three terms. Zbl 1507.60131
Heydenreich, Markus; Matzke, Kilian
2
2022
Extremal linkage networks. Zbl 1502.60083
Heydenreich, Markus; Hirsch, Christian
1
2022
Variance of voltages in a lattice Coulomb gas. Zbl 1482.82008
Conache, Diana; Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
1
2022
Strictly weak consensus in the uniform compass model on \(\mathbb{Z}\). Zbl 1466.60206
Gantert, Nina; Heydenreich, Markus; Hirscher, Timo
3
2020
Critical site percolation in high dimension. Zbl 1458.60101
Heydenreich, Markus; Matzke, Kilian
3
2020
Transience versus recurrence for scale-free spatial networks. Zbl 1509.62399
Gracar, Peter; Heydenreich, Markus; Mönch, Christian; Mörters, Peter
1
2020
Dislocation lines in three-dimensional solids at low temperature. Zbl 1479.60189
Bauerschmidt, Roland; Conache, Diana; Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
3
2019
A spatial small-world graph arising from activity-based reinforcement. Zbl 1534.68170
Heydenreich, Markus; Hirsch, Christian
2
2019
Mini-workshop: Mathematics of crystallisation. Abstracts from the mini-workshop held April 7–13, 2019. Zbl 1439.00040
1
2019
Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions. Zbl 1446.82011
Handa, Satoshi; Heydenreich, Markus; Sakai, Akira
1
2019
Phase transition for a non-attractive infection process in heterogeneous environment. Zbl 1398.82035
Gottschau, M.; Heydenreich, M.; Matzke, K.; Toninelli, C.
1
2018
The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice. Zbl 1390.82069
Heydenreich, Markus; Kolesnikov, Leonid
1
2018
Progress in high-dimensional percolation and random graphs. Zbl 1445.60003
Heydenreich, Markus; van der Hofstad, Remco
55
2017
Structures in supercritical scale-free percolation. Zbl 1373.60158
Heydenreich, Markus; Hulshof, Tim; Jorritsma, Joost
18
2017
Law of large numbers for random walks on attractive spin-flip dynamics. Zbl 1372.82037
Bethuelsen, Stein Andreas; Heydenreich, Markus
4
2017
Sharpness versus robustness of the percolation transition in 2D contact processes. Zbl 1325.60164
van den Berg, J.; Björnberg, J. E.; Heydenreich, M.
1
2015
Random walk on the high-dimensional IIC. Zbl 1302.82050
Heydenreich, Markus; van der Hofstad, Remco; Hulshof, Tim
13
2014
High-dimensional incipient infinite clusters revisited. Zbl 1296.82029
Heydenreich, Markus; van der Hofstad, Remco; Hulshof, Tim
7
2014
Spontaneous breaking of rotational symmetry in the presence of defects. Zbl 1307.60142
Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
7
2014
Random graph asymptotics on high-dimensional tori. II: volume, diameter and mixing time. Zbl 1229.60108
Heydenreich, Markus; van der Hofstad, Remco
21
2011
Long-range self-avoiding walk converges to \(\alpha\)-stable processes. Zbl 1210.82055
Heydenreich, Markus
8
2011
Mean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk. Zbl 1152.82007
Heydenreich, Markus; van der Hofstad, Remco; Sakai, Akira
35
2008
Random graph asymptotics on high-dimensional tori. Zbl 1128.82010
Heydenreich, Markus; van der Hofstad, Remco
21
2007
Annealed asymptotics for the parabolic Anderson model with a moving catalyst. Zbl 1102.60058
Gärtner, Jürgen; Heydenreich, Markus
6
2006
all cited Publications top 5 cited Publications
all top 5

Cited by 168 Authors

21 van der Hofstad, Remco W.
17 Heydenreich, Markus
15 Hutchcroft, Tom
10 Sakai, Akira
10 Slade, Gordon
6 Gracar, Peter
6 Kozma, Gady
6 Mörters, Peter
6 Nachmias, Asaf
5 Chen, Lung-Chi
5 den Hollander, Frank
5 Lengler, Johannes
5 Mönch, Christian
4 Bauerschmidt, Roland
4 Bringmann, Karl
4 Hulshof, Tim
4 Keusch, Ralph
4 Komjáthy, Júlia
4 Lundow, Per Håkan
4 Markström, Klas
3 Bäumler, Johannes
3 Bhamidi, Shankar
3 Gärtner, Jürgen
3 Hanson, Jack
3 Hirsch, Christian
3 Matzke, Kilian
3 Michta, Emmanuel
3 Sen, Sanchayan
3 Sidoravicius, Vladas
2 Addario-Berry, Louigi
2 Ben Arous, Gérard
2 Bethuelsen, Stein Andreas
2 Blondel, Oriane
2 Chatterjee, Shirshendu
2 Ding, Jian
2 dos Santos, Renato S.
2 Duminil-Copin, Hugo
2 Fribergh, Alexander
2 Grauer, Arne
2 Handa, Satoshi
2 Hilário, Marcelo Richard
2 Holmes, Mark P.
2 Kolesnikov, Leonid
2 Li, Hsin-Lun
2 Lüchtrath, Lukas
2 Maillard, Grégory
2 Maitra, Neeladri
2 Maus, Yannic
2 Molla, Anisur Rahaman
2 Okamura, Kazuki
2 Peres, Yuval
2 Rodriguez, Pierre-François
2 Salvi, Michele
2 Sosoe, Philippe
2 Sun, Rongfeng
2 Tassion, Vincent
2 Teixeira, Augusto Quadros
2 Theil, Florian
2 van der Hoorn, Pim
2 van Leeuwaarden, Johan S. H.
1 Ahlberg, Daniel
1 Aizenman, Michael
1 Almeida Gomes, Pablo
1 Andriopoulos, George
1 Aumann, Simon
1 Barlow, Martin T.
1 Benjamini, Itai
1 Berche, Bertrand
1 Berger, Noam
1 Birkner, Matthias
1 Bruckstein, Alfred Marcel
1 Brydges, David C.
1 Cabezas, Manuel
1 Camia, Federico
1 Cipriani, Alessandra
1 Conache, Diana
1 Conchon-Kerjan, Guillaume
1 Croydon, David A.
1 Dagès, Thomas
1 Dalmau, Joseba
1 Damron, Michael
1 Deijfen, Maria
1 Deng, Youjin
1 Dereich, Steffen
1 Desmarais, Colin
1 Dhara, Souvik
1 Döring, Leif
1 Drewitz, Alexander
1 Erde, Joshua
1 Erhard, Dirk
1 Eslava, Laura
1 Federico, Lorenzo
1 Fitzner, Robert
1 Fricke, Niklas
1 Gaál, Alexisz Tamás
1 Gantert, Nina
1 Garoni, Timothy M.
1 Giuliani, Alessandro
1 Goldschmidt, Christina
1 Grimm, Jens
...and 68 more Authors
all top 5

Cited in 43 Serials

15 Probability Theory and Related Fields
14 The Annals of Probability
14 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
12 Communications in Mathematical Physics
9 Journal of Statistical Physics
8 Electronic Journal of Probability
5 Random Structures & Algorithms
4 Journal of Mathematical Physics
4 Nuclear Physics. B
4 The Annals of Applied Probability
4 Stochastic Processes and their Applications
4 Electronic Communications in Probability
4 Mathematical Physics, Analysis and Geometry
3 Advances in Applied Probability
3 Inventiones Mathematicae
3 Journal of Applied Probability
3 Combinatorics, Probability and Computing
3 Oberwolfach Reports
2 Communications on Pure and Applied Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of Theoretical Probability
2 Journal of the American Mathematical Society
2 Journal of the European Mathematical Society (JEMS)
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
2 Journal of Physics A: Mathematical and Theoretical
2 Probability and Mathematical Physics
1 Archive for Rational Mechanics and Analysis
1 Metrika
1 Physica A
1 Journal of Computer and System Sciences
1 Journal of the Mathematical Society of Japan
1 Theoretical Computer Science
1 Geometric and Functional Analysis. GAFA
1 SIAM Journal on Applied Mathematics
1 Indagationes Mathematicae. New Series
1 Extremes
1 Annals of Mathematics. Second Series
1 Annales Henri Poincaré
1 Brazilian Journal of Probability and Statistics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Statistical Mechanics: Theory and Experiment
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Mathematics for Industry
all top 5

Cited in 21 Fields

125 Probability theory and stochastic processes (60-XX)
104 Statistical mechanics, structure of matter (82-XX)
58 Combinatorics (05-XX)
4 Partial differential equations (35-XX)
4 Computer science (68-XX)
3 General and overarching topics; collections (00-XX)
3 Mechanics of deformable solids (74-XX)
3 Information and communication theory, circuits (94-XX)
2 Group theory and generalizations (20-XX)
2 Measure and integration (28-XX)
2 Potential theory (31-XX)
2 Operations research, mathematical programming (90-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Operator theory (47-XX)
1 Differential geometry (53-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Quantum theory (81-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

Citations by Year