Prof. Dr. Sabine Jansen

Office hour

Teaching

• Summer 2023:
  • Mathematical Statistical Physics LSF, moodle (pw: kirkwood).
  • Student seminar: Interacting particle systems moodle
• Winter 2022-23:
  • Stochastic processes LSF, moodle
  • Seminar: Phase transitions in statistical mechanics (with Markus Heydenreich), webpage

Lecture notes and survey articles

• 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.

Links

• 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

Publications and Preprints

• S.J., L. Kolesnikov:
  Logarithms of Catalan generating functions: A combinatorial approach
  arXiv:2302.09661 [math.CO], 20 pp.
• R. Wittmann, S.J., H. Löwen:
  Geometric conditions for the absence of effective many-body interactions in non-additive hard-particle mixtures
  arXiv:2209.05835 [math-ph], 19 pp.
• S. Floreani, S.J., F. Redig, S. Wagner:
  Duality and intertwining for consistent Markov processes
  arXiv:2112.11885 [math.PR], 32 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.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.

Short CV

• 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