Benjamin Lees

Benjamin Lees PhD


Schlossgartenstraße 7
64289 Darmstadt

Raum: S2|15 351




Research Interests

I am currently an Alexander von Humboldt Postdoctoral fellow in the group of Professor Volker betz, working on probabilistic representations for quantum systems.

My research interests include Probability theory and Statistical Mechanics, in particular the theory of phase transitions.

Current teaching

Winter Semester 2018-2019: Percolation (in TuCaN under selected topics in stochastics).

Based on the Book by G. Grimmett, Springer 1999.

Submitted and published papers

Phase transition for loop representations of Quantum spin systems on trees with V. Betz and J. Ehlert. Journal of Mathematical Physics 59, 113302 (2018) arXiv:1804.00860
Staggered long-range order for diluted quantum spin models with R. Kotecký   arXiv:1605.06279
Correlation inequalities for classical and quantum XY models (review article) with C. Benassi, D. Ueltschi. Advances in Quantum Mechanics. Springer INdAM Series, vol 18. Springer (2017) arXiv:1611.06019
Correlation inequalities for the quantum XY model with C. Benassi, D. Ueltschi. Journal of statistical physics 164 (5), 1157-1166 (2016) arXiv:1510.03215
Existence of Néel order in the S=1 bilinear-biquadratic Heisenberg model via random loops   Communications in Mathematical Physics 347 (1), 83-101 (2016) arXiv:1507.04942
Long-range order for the spin-1 Heisenberg model with a small antiferromagnetic interaction   Journal of Mathematical Physics 55, 093303 (2014) arXiv:1406.1044

Articles in preparation

The interchange process with reversals on the complete graph with J. Björnberg, M. Kotowski and P. Miłoś Preprint  
Explicit phase conditions for random loop models on trees using exploration schemes with V. Betz and J. Ehlert Preprint