Prof. Dr. Markus Heydenreich

Professor
Stochastik und ihre Anwendungen
Telefon: +49 821 598 2206
E-Mail:
Raum: 3012 (L1)
Adresse: Universitätsstraße 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.
     

Scientific activities

Office hour

Please make appointments via email.

 

 

Publications

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

 

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

 

 

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

2023

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

BibTeX | RIS | DOI

2022

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 Mönch and Peter Mörters
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

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

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 Mönch and Peter Mörters
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 | URL

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

BibTeX | RIS | DOI

2015

J. van den Berg, J. E. Björnberg and Markus Heydenreich
Sharpness versus robustness of the percolation transition in 2d contact processes

BibTeX | RIS | DOI

2014

Markus Heydenreich, Remco van der Hofstad and Tim Hulshof
High-dimensional incipient infinite clusters revisited

BibTeX | RIS | DOI

Markus Heydenreich, Remco van der Hofstad and Tim Hulshof
Random walk on the high-dimensional IIC

BibTeX | RIS | DOI

Markus Heydenreich, Franz Merkl and Silke Rolles
Spontaneous breaking of rotational symmetry in the presence of defects

PDF | BibTeX | RIS | DOI

2013

J. Bierkens, H. Blok, Markus Heydenreich, R. Núñez Queija, P. van Meurs, F. Spieksma and J. Tuitman
Estimates on returnable packaging material

BibTeX | RIS | URL


Proceedings of the 90th European Study Group Mathematics in Industry (SWI 2013), Leiden, The Netherlands, January 28 - February 1, 2013

BibTeX | RIS | URL

2011

Markus Heydenreich
Long-range self-avoiding walk converges to α-stable processes

BibTeX | RIS | DOI

Markus Heydenreich and Remco van der Hofstad
Random graph asymptotics on high-dimensional tori II: volume, diameter and mixing time

PDF | BibTeX | RIS | DOI

Correction published at: https://doi.org/10.1007/s00440-019-00929-x

2009

Markus Heydenreich, Remco van der Hofstad and Georgi Radulov
Functionals of Brownian bridges arising in the current mismatch in D/A converters

BibTeX | RIS | DOI

2008

Markus Heydenreich
A lace-expansion analysis of random spatial models

BibTeX | RIS | DOI

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

PDF | BibTeX | RIS | DOI

2007

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

BibTeX | RIS | DOI

Markus Heydenreich and Remco van der Hofstad
Random graph asymptotics on high-dimensional tori

BibTeX | RIS | DOI

2006

Jürgen Gärtner and Markus Heydenreich
Annealed asymptotics for the parabolic Anderson model with a moving catalyst

BibTeX | RIS | DOI

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

BibTeX | RIS | URL

2004

Markus Heydenreich
Intermittency in the parabolic Anderson model with catalyst

BibTeX | RIS

Diplomarbeit, Technische Universität Berlin, 2004

Suche