Prof. Dr. Sabine JansenMathematisches Institut der Universität München Email: jansen@math.lmu.de Tel: +49 (0)89 2180 4477 |
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Office hour
By appointment.
Teaching
- Winter 2024/25:
- Stochastik
- Summer 2024:
- Summer 2023:
- Winter 2022-23:
- The method of cumulants for the normal approximation, with Hanna Döring and Kristina Schubert
- On the notions of duality for Markov processes, with Noemi Kurt
- Gibbs point processes Lecture notes for a course at LMU (winter 2017/18)
- Jump processes, preparatory notes for a chapter on spatial birth and death processes in a course on point processes and Gibbs measures (LMU, winter 2019/20)
- Quantum mechanics for probabilists
Loosely based on a lecture held at Leiden University in summer 2013. - Oberseminar Wahrscheinlichkeitstheorie, Mathematisches Kolloquium
- DFG Sonderforschungsbereich CRC TRR 352 Mathematics of many-body quantum systems and their collective phenomena
- DFG priority programme SPP2265 Random Geometric Systems
- Munich Center for Quantum Science and Technology (MCQST)
- DFG scientific network Cumulants, concentration and superconcentration
- DFG Graduiertenkolleg 2123 High-dimensional Phenomena in Probability - Fluctuations and Discontinuity
- Mini-Workshop Cluster expansions: From Combinatorics to Analysis through Probability,
Oberwolfach, 5-11 Feb 2017 - Workshop Trends in Mathematical Crystallisation, Warwick, 3-6 May 2016
- Workshop Mathematical facets of crystallization, Lorentz Center, Leiden (Netherlands), 8-12 Sept. 2014
- S.J.: Large deviations for the maximum and reversed order statistics of Weibull-like variables
arXiv:2405.17319 [math.PR], 13 pp. - F. den Hollander, S.J., R. Kotecký, E. Pulvirenti:
The Widom-Rowlinson model: mesoscopic fluctuations for the critical droplet,
arXiv:1907.00453 [math-ph], 64 pp. - S. Floreani, S.J., S. Wagner:
Representations of the su(1,1) current algebra and probabilistic perspectives
Rev. Math. Phys. (online 2024), 46 pp. - S.J., J. P. Neumann:
Hierarchical Cubes: Gibbs Measures and Decay of Correlations
J Stat Phys 191, 161 (2024), 27 pp.
- S. Floreani, S.J., S. Wagner:
Intertwinings for continuum particle systems: an algebraic approach
SIGMA 20 (2024), 046, 21 pp. - S. Floreani, S.J., F. Redig, S. Wagner:
Duality and intertwining for consistent Markov processes
Electron. J. Probab. 29 (2024), article no. 67, 1-34. - S.J., L. Kolesnikov:
Logarithms of Catalan generating functions: A combinatorial approach
Electron. J. Combin. 31 (2024): P1.46, 22 pp. - R. Wittmann, S.J., H. Löwen:
Geometric conditions for the absence of effective many-body interactions in non-additive hard-particle mixtures
J. Math. Phys. 64, 103301 (2023), 16 pp. - S.J., T. Kuna, D. Tsagkarogiannis:
Virial inversion and density functionals,
J. Funct. Anal. 284 (2023), 109731 (49 pp.), slides - S.J., L. Kolesnikov:
Cluster expansions: Necessary and sufficient convergence conditions
J. Stat. Phys. 189 (2022), article no. 33, 47 pp. - S.J. L. Kolesnikov, K. Matzke:
The direct-connectedness function in the random connection model
Adv. in Appl. Probab. (2022), First View, 1-44
- C. Hirsch, S.J., P. Jung:
Large deviations in the quantum quasi-1D jellium
Prob. Math. Phys. 3 (2022), 381-429
- H. Döring, S.J., K. Schubert:
The method of cumulants for the normal approximation
Probab. Surveys 19 (2022), 185-270 - S.J., W. König, B. Schmidt, F. Theil:
Distribution of cracks in a chain of atoms at low temperature,
Ann. Henri Poincaré 22, 4131-4172 (2021) - S.J.: Revisiting Groeneveld's approach to the virial expansion,
J. Math. Phys. 62, 023302 (2021), 20 pp. - S.J., T. Kuna, D. Tsagkarogiannis:
Lagrange inversion and combinatorial species with uncountable color palette,
Ann. Henri Poincaré 22 (2021), 1499-1534 - S.J., W. König, B. Schmidt, F. Theil:
Surface energy and boundary layers for a chain of atoms at low temperature,
Arch. Ration. Mech. Anal. 239 (2021), 915-960
- S.J.: Thermodynamics of a hierarchical mixture of cubes,
J. Stat. Phys. 179 (2020), 309-340 - S.J., D. Tsagkarogiannis:
Cluster expansions with renormalized activities and applications to colloids,
Ann. Henri Poincaré 21 (2020), 45-79 - S.J: Cluster expansions for Gibbs point processes,
Adv. Appl. Prob. 51, 1129–1178 (2019)
- F. Frommer, M. Hanke, S.J.:
A note on the uniqueness result for the inverse Henderson problem,
J. Math. Phys. 60, 093303 (2019), 10 pp.
Scilight - N. M. Ercolani, S. J., D. Ueltschi:
Singularity analysis for heavy-tailed random variables,
J. Theor. Probab. 32, 1-46 (2019) - S. J., F. den Hollander:
Berman-Konsowa principle for reversible Markov jump processes,
Markov Process. Related Fields 22, 409-422 (2016) - S. J.: Continuum percolation for Gibbsian point processes with attractive interactions,
Electron. J. Probab. 21, paper no. 47 (2016), 22 pp. - S.J.: Cluster and virial expansions for the multi-species Tonks gas
J. Stat. Phys. 161, 1299-1323 (2015) - S. J., W. König, B. Metzger:
Large deviations for cluster size distributions in a continuous classical many-body system,
Ann. Appl. Probab. 25, 930-973 (2015) - N. M. Ercolani, S. J., D. Ueltschi:
Random partitions in statistical mechanics,
Electron. J. Probab. 19, 1-37 (2014) - S. J., N. Kurt:
On the notion(s) of duality for Markov processes,
Probab. Surveys 11, 59-120 (2014) - S. J., P. Jung:
Wigner crystallization for the quantum 1D jellium at all densities,
Commun. Math. Phys. 331, 1133-1154 (2014) - S. J., S. J. Tate, D. Tsagkarogiannis, D. Ueltschi:
Multi-species virial expansions,
Commun. Math. Phys. 330, 801-817(2014) - S. J., N. Kurt:
Graphical representation of certain moment dualities and application to population models with balancing selection
Electron. Commun. Probab. 18 (2013), 1-15 - S. J.: Fermionic and bosonic Laughlin wave function on thick cylinders,
J. Math. Phys. 53, 123306 (2012). Long version arXiv:1109.4022v1 [math-ph]. - S. J., W. König:
Ideal mixture approximations of cluster size distributions at low density,
J Stat. Phys. 147, 963-980 (2012) - S. J.: Mayer and virial series at low temperature,
J. Stat. Phys. 147, 678-706 (2012) - M. Aizenman, S. J., P. Jung:
Symmetry breaking in quasi-1D Coulomb systems,
Ann. Henri Poincaré 11, 1453-1485 (2010) - S. J., E. H. Lieb, R. Seiler:
Symmetry breaking in Laughlin's state on a cylinder,
Commun. Math. Phys. 285, 503-535 (2009) - S. J., E. H. Lieb, R. Seiler:
Laughlin's function on a cylinder: plasma analogy and representation as a quantum polymer,
phys. stat. sol. (b) 245, 439-446 (2008) - S. J., M. B. Ruskai, R. Seiler:
Bounds for the adiabatic approximation with applications to quantum computation,
J. Math. Phys. 48, 102111 (2007), Virtual Journal of Quantum Information -
S.J., L. Kolesnikov:
Activity expansions for correlation functions
In: Proceedings of the XI International conference Stochastic and Analytic Methods in Mathematical Physics, held in Yerevan, Armenia (2019). Lectures in Pure and Applied Mathematics 6, Universitätsverlag Potsdam, 2020. - F. den Hollander, S.J:
Metastability for continuum particle systems
In: Oberwolfach Report No. 40/2015. - Ludwig-Maximilians-Universität München (since 10/2017)
- University of Sussex (Lecturer, 2017)
- Ruhr-Universität Bochum (Juniorprofessor, 2013-2016)
- Leiden University (postdoc, 2012-2013)
- Hausdorff Research Institute for Mathematics, Bonn (05/2012 - 08/2012):
Trimester program Mathematical challenges of materials science and condensed matter physics - Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin
(postdoc, 2009 - 2012),
DFG Research Group Analysis and Stochastics in Complex Physical Systems - Princeton University (postdoc, 2008 - 2009)
Feodor Lynen Research Fellowship of the Alexander von Humboldt foundation. Host: E. H. Lieb. - Universität Leipzig and Max Planck Institute for Mathematics in the Sciences, Leipzig (postdoc, 04/2008-08/2008)
- Technische Universität Berlin (wissenschaftliche Mitarbeiterin, 2004-2008)
- PhD (Dr. rer. nat.), Technische Universität Berlin,
advisor: Prof. R. Seiler (2007)
Thesis: Laughlin's wave function, plasma analogies and the fractional quantum Hall effect on infinite cylinders pdf