Dr. Sander Dommers
Fakultäten der RUB » Fakultät für Mathematik » Lehrstühle » Mathematische Physik / Stochastik

Dr. Sander Dommers

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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:

  • (Power-law) random graph models, e.g.:
    • the configuration model
    • generalized random graphs
    • preferential attachment models
    • the Erdös-Rényi random graph
  • Interacting particle systems, e.g.:
    • (anti)ferromagnetic Ising/Potts models
    • rotor and other continuous spin models
    • inclusion/zero-range processes
    • monomer-dimer models
  • Properties of these models in equilibrium, e.g.:
    • thermodynamic quantities
    • phase transitions
    • critical behavior and exponents
    • limit theorems and rates of convergence
    • large deviations
  • 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

  1. A. Bianchi, S. Dommers and C. Giardinà.
    Metastability in the reversible inclusion process.
    Electronic Journal of Probability, 22(70):1-34, (2017).
     
  2. 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).
     
  3. 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).
     
  4. S. Dommers.
    Metastability of the Ising model on random regular graphs at zero temperature.
    Probability Theory and Related Fields, 167(1):305-324, (2017).
     
  5. 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).
     
  6. 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).
     
  7. 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).
     
  8. 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).
     
  9. S. Dommers, R. van der Hofstad and G. Hooghiemstra.
    Diameters in preferential attachment models.
    Journal of Statistical Physics, 139(1):72-107, (2010).
     

Report

  1. 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)

  1. Continuous spin models on annealed generalized random graphs. (Presentation)
    Probability Seminar Essen, May 30, 2017. University of Duisburg-Essen, Essen, Germany.
     
  2. 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.
     
  3. Metastability in the reversible inclusion process. (Presentation)
    Seminario di Probabilità e Finanza Matematica, November 24, 2016. Università degli Studi di Padova, Padova, Italy.
     
  4. Critical behavior of the inhomogeneous Curie-Weiss model. (Presentation)
    9th Lago Maggiore Meeting, September 20-27, 2016. Villa Volpi, Ghiffa, Italy.
     
  5. 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.
     
  6. 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.
     
  7. Metastability in the reversible inclusion process. (Presentation)
    Mathematics of kinetically constrained dynamics and metastability, January 4-8, 2016. University of Warwick, Coventry, UK.
     
  8. 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.
     
  9. Ising critical exponents on power-law random graphs. (Presentation)
    8th Cornell Probability Summer School, July 16-27, 2012. Cornell University, Ithaca, New York, USA.
     
  10. 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.
     
  11. Distances in preferential attachment graphs. (Presentation)
    Fundamentals of Future Networking, November 7-8, 2011. EIT ICT Labs, Helsinki, Finland.
     
  12. 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.
     
  13. 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.
     
  14. Ising models on power-law random graphs. (Presentation)
    YEP VII: Probability, random trees and algorithms, March 8-12, 2010. EURANDOM, Eindhoven, the Netherlands.
     
  15. 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.
     
  16. 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.
     
  17. Distances in power-law random graphs. (Presentation)
    Master thesis defence, February 2, 2009. Eindhoven University of Technology, Eindhoven, the Netherlands.
     

Other publications

  1. S. Dommers. (Promotor: R. van der Hofstad, copromotor: C. Giardinà)
    Spin models on random graphs.
    PhD thesis, Eindhoven University of Technology, March 26, 2013.
     
  2. S. Dommers, R. Jurrius and L. Molag.
    Financiële wiskunde. (In Dutch)
    Onderzoeksprogramma Vierkant voor Wiskunde zomerkamp C, 2010.
     
  3. S. Dommers. (Supervisor: R. van der Hofstad.)
    Distances in power-law random graphs.
    Master thesis, Eindhoven University of Technology, January 12, 2009.
     
  4. S. Dommers. (Supervisor: O.J. Boxma.)
    The machine repair model.
    Bachelor thesis, Eindhoven University of Technology, March 4, 2008.