威尼斯赌博游戏_威尼斯赌博app-【官网】

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威尼斯赌博游戏_威尼斯赌博app-【官网】

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Prof. Dr. Markus Heydenreich

Professor
Stochastik und ihre Anwendungen
Telefon: +49 821 598 2206
E-Mail:
Raum: 3012 (L1)
Sprechzeiten: Please make appointments via email.
Adresse: Universit?tsstra?e 14, 86159 Augsburg

Research

I am a mathematician; my field of expertise is probability theory. I am studying discrete random objects of varying flavour, such as
  • phase transitions in models of statistical mechanics, mean-field behaviour, lace expansion;
  • long-range order of discrete models in continuum space, symmetry breaking, crystallization;
  • spatial random graph models;
  • random walk in dynamic random environment.
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Scientific activities

Publications

I make preprints available via arxiv.org: my-preprints@arXiv.

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Published work can be found on Zentralblatt MATH, the open access platform for mathematical bibliography:?my-articles@zbMATH.

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2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2015 | 2014 | 2013 | 2011 | 2009 | 2008 | 2007 | 2006 | 2004

2025

Matthew Dickson and Markus Heydenreich
Expansion of the critical intensity for the random connection model

PDF | BibTeX | RIS | DOI

Gideon Amir, Markus Heydenreich and Christian Hirsch
Planar reinforced k-out percolation

PDF | BibTeX | RIS | DOI

2024

Alexander Drewitz, Markus Heydenreich and Cécile Mailler
Voronoi cells in random split trees

PDF | BibTeX | RIS | DOI

2023

Nannan Hao and Markus Heydenreich
Graph distances in scale-free percolation: the logarithmic case

BibTeX | RIS | DOI

2022

Matthias Mohr, Markus Heydenreich, Georg Schollmeyer and Stefan Ufer
Berufsfeldbezug in den fachwissenschaftlichen Studienanteilen des Lehramtsstudiums Mathematik - Problemaufriss und Initiativen

BibTeX | RIS | DOI

Markus Heydenreich and Kilian Matzke
Expansion for the critical point of site percolation: the first three terms

PDF | BibTeX | RIS | DOI

Markus Heydenreich and Christian Hirsch
Extremal linkage networks

BibTeX | RIS | DOI

Markus Heydenreich, Remco van der Hofstad, Günter Last and Kilian Matzke
Lace expansion and mean-field behavior for the random connection model

BibTeX | RIS | DOI

Markus Heydenreich, Lorenzo Taggi and Niccolo Torri
Prudent walk in dimension six and higher

BibTeX | RIS | DOI

Peter Gracar, Markus Heydenreich, Christian M?nch and Peter M?rters
Recurrence versus transience for weight-dependent random connection models

PDF | BibTeX | RIS | DOI

Matthew Dickson and Markus Heydenreich
The triangle condition for the marked random connection model

BibTeX | RIS | DOI

Diana Conache, Markus Heydenreich, Franz Merkl and Silke W. W. Rolles
Variance of voltages in a lattice Coulomb gas

PDF | BibTeX | RIS | DOI

2021

Markus Heydenreich
Fractal dimension of discrete sets and percolation

BibTeX | RIS | DOI

2020

Markus Heydenreich and Kilian Matzke
Critical site percolation in high dimension

PDF | BibTeX | RIS | DOI

Nina Gantert, Markus Heydenreich and Timo Hirscher
Strictly weak consensus in the uniform compass model on Z

BibTeX | RIS | DOI

Peter Gracar, Markus Heydenreich, Christian M?nch and Peter M?rters
Transience versus recurrence for scale-free spatial networks

BibTeX | RIS | DOI

2019

Markus Heydenreich and Christian Hirsch
A spatial small-world graph arising from activity-based reinforcement

BibTeX | RIS | DOI

Roland Bauerschmidt, Diana Conache, Markus Heydenreich, Franz Merkl and Silke W. W. Rolles
Dislocation lines in three-dimensional solids at low temperature

PDF | BibTeX | RIS | DOI

Satoshi Handa, Markus Heydenreich and Akira Sakai
Mean-field bound on the 1-Arm exponent for ising ferromagnets in high dimensions

BibTeX | RIS | DOI

Stefan Adams, Michael Baake and Markus Heydenreich
Mini-workshop: mathematics of crystallisation

BibTeX | RIS | DOI

2018

Markus Heydenreich and Leonid Kolesnikov
The critical 1-arm exponent for the ferromagnetic Ising model on the Bethe lattice

BibTeX | RIS | DOI

Markus Heydenreich, Christian Hirsch and Daniel Valesin
Uniformity of hitting times of the contact process

BibTeX | RIS | DOI

2017

Stein Andreas Bethuelsen and Markus Heydenreich
Law of large numbers for random walks on attractive spin-flip dynamics

BibTeX | RIS | DOI

Marinus Gottschau, Markus Heydenreich, Kilian Matzke and Cristina Toninelli
Phase transition for a non-attractive infection process in heterogeneous environment

BibTeX | RIS | DOI

Markus Heydenreich and Remco van der Hofstad
Progress in high-dimensional percolation and random graphs

BibTeX | RIS | DOI

Markus Heydenreich, Tim Hulshof and Joost Jorritsma
Structures in supercritical scale-free percolation