Dr. Sander Dommers
Ruhr-Universität Bochum
Fakultät für Mathematik
Room NA 6/35
Universitätsstraße 150
44780 Bochum
Germany
Email: Sander.Dommers@ruhr-uni-bochum.de
Research interests
My research interests include:
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(Power-law) random graph models, e.g.:
- the configuration model
- generalized random graphs
- preferential attachment models
- the Erdös-Rényi random graph
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Interacting particle systems, e.g.:
- (anti)ferromagnetic Ising/Potts models
- rotor and other continuous spin models
- inclusion/zero-range processes
- monomer-dimer models
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Properties of these models in equilibrium, e.g.:
- thermodynamic quantities
- phase transitions
- critical behavior and exponents
- limit theorems and rates of convergence
- large deviations
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Dynamics of these models, e.g.:
- metastability
- mixing times
- Probability theory
- Graph theory
- Statistical mechanics
One of my main research goals is to understand what the effect of random graphs having a power-law degree distribution is on the behavior of interacting particle systems on such graphs.
Furthermore, I'm interested in:
- Recreational mathematics
- (Fun) mathematics for high school / elementary school students
- Mathematics in general
Curriculum Vitae
I studied Industrial and Applied Mathematics at Eindhoven University of Technology (TU/e) in the Netherlands. I obtained my Master of Science degree in February 2009 with a thesis on "Distances in power-law random graphs." under supervision of Remco van der Hofstad.
After this, I pursued my PhD at the TU/e. This resulted in my thesis "Spin models on random graphs." with Remco van der Hofstad as promotor and Cristian Giardinà as copromotor. I defended this thesis on March 26, 2013.
In the mean time I started in January 2013 as an "assegnista di ricerca" (Postdoc) at the Università di Bologna. In October 2015 I moved to the Ruhr-Universität Bochum where I am now a Postdoc in the Phase transitions research program of the Research Training Group 2131.
A complete curriculum vitae can be downloaded here.
Publications
Journal articles
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A. Bianchi, S. Dommers and C. Giardinà.
Metastability in the reversible inclusion process.
Electronic Journal of Probability, 22(70):1-34, (2017).
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S. Dommers, F. den Hollander, O. Jovanovski and F.R. Nardi.
Metastability for Glauber dynamics on random graphs.
The Annals of Applied Probability, 27(4):2130-2158, (2017).
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S. Dommers, C. Külske and P. Schriever.
Continuous spin models on annealed generalized random graphs.
Stochastic Processes and their Applications, 127(11):3719-3753, (2017).
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S. Dommers.
Metastability of the Ising model on random regular graphs at zero temperature.
Probability Theory and Related Fields, 167(1):305-324, (2017).
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S. Dommers, C. Giardinà, C. Giberti, R. van der Hofstad and M.L. Prioriello.
Ising critical behavior of inhomogeneous Curie-Weiss models and annealed random graphs.
Communications in Mathematical Physics, 348(1):221-263, (2016).
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S. Dommers, C. Giardinà and R. van der Hofstad.
Ising critical exponents on random trees and graphs.
Communications in Mathematical Physics, 328(1):355-395, (2014).
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P. Contucci, S. Dommers, C. Giardinà and S. Starr.
Antiferromagnetic Potts model on the Erdös-Rényi random graph.
Communications in Mathematical Physics, 323(2):517-554, (2013).
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S. Dommers, C. Giardinà and R. van der Hofstad.
Ising models on power-law random graphs.
Journal of Statistical Physics, 141(4):638-660, (2010).
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S. Dommers, R. van der Hofstad and G. Hooghiemstra.
Diameters in preferential attachment models.
Journal of Statistical Physics, 139(1):72-107, (2010).
Report
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S. Cardon, S. Dommers, C. Eksin, R. Sitters, A. Stougie and L. Stougie.
A PTAS for the Multiple Depot Vehicle Routing Problem.
SPOR Report No. 2008-03, Eindhoven University of Technology, 2008.
Presentations / Posters (selection)
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Continuous spin models on annealed generalized random graphs. (Presentation)
Probability Seminar Essen, May 30, 2017. University of Duisburg-Essen, Essen, Germany.
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Metastability of the Ising model on random regular graphs at zero temperature. (Presentation)
3rd STAR Workshop on Random Graphs, January 26-27, 2017. Utrecht University, Utrecht, the Netherlands.
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Metastability in the reversible inclusion process. (Presentation)
Seminario di Probabilità e Finanza Matematica, November 24, 2016. Università degli Studi di Padova, Padova, Italy.
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Critical behavior of the inhomogeneous Curie-Weiss model. (Presentation)
9th Lago Maggiore Meeting, September 20-27, 2016. Villa Volpi, Ghiffa, Italy.
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Metastability of the Ising model on random regular graphs at zero temperature. (Presentation)
Metastability in Statistical Mechanics and Stochastic Processes, April 18-22, 2016. EURANDOM, Eindhoven, the Netherlands.
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Metastability of the Ising model on random regular graphs at zero temperature. (Presentation)
12th German Probability and Statistics Days 2016 – Bochumer Stochastik-Tage, March 1-4, 2016. Ruhr-Universität Bochum, Bochum, Germany.
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Metastability in the reversible inclusion process. (Presentation)
Mathematics of kinetically constrained dynamics and metastability, January 4-8, 2016. University of Warwick, Coventry, UK.
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Metastability of the Ising model on random regular graphs at zero temperature. (Poster)
Spin Glasses, Random Graphs and Percolation, February 16-20, 2015. Institut Henri Poincaré, Paris, France.
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Ising critical exponents on power-law random graphs. (Presentation)
8th Cornell Probability Summer School, July 16-27, 2012. Cornell University, Ithaca, New York, USA.
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Ising critical exponents on power-law random graphs. (Presentation)
Disorder in Probability and Statistical Mechanics, June 25-29, 2012. University of Modena and Reggio Emilia, Modena, Italy.
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Distances in preferential attachment graphs. (Presentation)
Fundamentals of Future Networking, November 7-8, 2011. EIT ICT Labs, Helsinki, Finland.
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Ising models on power-law random graphs. (Presentation)
Universality and Scaling Limits in Probability and Statistical Mechanics, August 30 - September 3, 2010. Hokkaido University, Sapporo, Japan.
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Ising models on power-law random graphs. (Poster)
Stochastic Processes in Communication Networks for Young Researchers, June 8-12, 2010. ICMS, Edinburgh, United Kingdom.
18th Meeting of AiOs in Stochastics, May 17-19, 2010. Hilversum, the Netherlands.
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Ising models on power-law random graphs. (Presentation)
YEP VII: Probability, random trees and algorithms, March 8-12, 2010. EURANDOM, Eindhoven, the Netherlands.
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Ising models on power-law random graphs. (Presentation)
Statistical Mechanics on Random Structures, November 15-20, 2009. BIRS, Banff, Canada.
RSS Seminar, November 5, 2009. EURANDOM, Eindhoven, the Netherlands.
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Distances in power-law random graphs. (Poster)
COST Action MP0801 / NET2009, May 27-30, 2009. LUISS / Sapienza University, Rome, Italy.
17th Meeting of AiOs in Stochastics, May 18-20, 2009. Hilversum, the Netherlands.
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Distances in power-law random graphs. (Presentation)
Master thesis defence, February 2, 2009. Eindhoven University of Technology, Eindhoven, the Netherlands.
Other publications
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S. Dommers. (Promotor: R. van der Hofstad, copromotor: C. Giardinà)
Spin models on random graphs.
PhD thesis, Eindhoven University of Technology, March 26, 2013.
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S. Dommers, R. Jurrius and L. Molag.
Financiële wiskunde. (In Dutch)
Onderzoeksprogramma Vierkant voor Wiskunde zomerkamp C, 2010.
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S. Dommers. (Supervisor: R. van der Hofstad.)
Distances in power-law random graphs.
Master thesis, Eindhoven University of Technology, January 12, 2009.
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S. Dommers. (Supervisor: O.J. Boxma.)
The machine repair model.
Bachelor thesis, Eindhoven University of Technology, March 4, 2008.