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