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.
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|