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Martin Slowik, Dr.
Currently I am holding a PostDoc position in the group of Prof. Dr. Jochen Blath financed by the DFG Priority Program 1590 "Probabilistic Structures in Evolution".
Lectures
Spring 2018 | Markov Proxesse, Konvergenz and Metastabilität (4 SWS) MSc/PhD |
Stochastik II (4 SWS) BSc |
Spring 2017 | Maß- und Integrationstheorie (4 SWS) MSc |
Fall 2016 | Markov processes and metastability (2 SWS) BSc/MSc |
Spring 2015 | Mathematik II für Ökonomen (2 SWS) BSc |
Fall 2014 | Mathematik I für Ökonomen (2 SWS) BSc |
Spring 2012 | Mathematik II für Brauerei- und Brennereitechnologen (3 SWS) BSc |
Exercise classes and seminars
WiSe 2017 | Analysis I für Ingenieurswissenschaften |
SoSe 2017 | Statistik |
WiSe 2016 | Stochastische Modelle |
Seminar "Wechselwirkende Teilchensysteme” | |
SoSe 2016 | Differentialgleichungen für Ingenieure |
Seminar "Stochastische Prozesse und ihre Anwendungen” | |
WiSe 2015 | Early Bird I für Ingenieure |
SoSe 2015 | Mathematik II für Ökonomen |
WiSe 2014 | Mathematik I für Ökonomen |
SoSe 2012 | Seminar "Ausgewählte Kapitel der Wahrscheinlickeitstheorie" |
SoSe 2011 | Seminar "Markovketten und stochastische Algorithmen” |
SoSe 2010 | Angewandte Stochastik und Statistik |
Seminar "Markovketten und stochastische Algorithmen” | |
Seminar "Angewandte Stochastik" | |
WiSe 2009 | Seminar "Numerische stochastische Analysis" |
SoSe 2009 | Algorithmische Mathematik II |
Research topics
- metastable behaviour of Markov processes
- functional inequalities related to the longtime behaviour of stochastic processes
- scaling limits of stochastic processes in random media
- population genetics
Peer reviewed
- A. Schlichting, M. Slowik.
Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities. Ann. Appl. Probab., 29, no. 6, 3438-3488 (2019). journal arXiv - S. Andres, J.-D. Deuschel, M. Slowik.
Heat kernel estimates and intrinsic metric for random walks with general speed measure under degenerate conductances. Electron. Commun. Probab. 24, no. 5, 1-17 (2019). journal arXiv - F. Flegel, M. Heida, M. Slowik.
Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps. Ann. Inst. Henri Poincaré Probab. Stat. 55, no. 3, 1226-1257 (2019). journal arXiv - S. Andres, A. Chiarini, J.-D. Deuschel, M. Slowik.
Quenched invariance principle for random walks with time-dependent ergodic degenerate weights. Ann. Probab. 46, no. 1, 302–336 (2018). journal arXiv - J.-D. Deuschel, T. A. Nguyen, M. Slowik.
Quenched invariance principles for the random conductance model on a random graph with degenerate weights. Probab. Theory Related Fields 170, no. 1-2, 363–386 (2018). journal arXiv - J.-D. Deuschel, P. Friz, M. Maurelli, M. Slowik.
The enhanced Sanov theorem and propagation of chaos. Stochastic Process. Appl., 128, no. 7, 2228–2269 (2018). journal arXiv - J.-D. Deuschel, M. Slowik.
Invariance principle for the one-dimensional dynamic random conductance model under moment conditions. RIMS Kokyuroku Bessatsu B59, 69–84 (2016). arXiv - S. Andres, J.-D. Deuschel, M. Slowik.
Heat kernel estimates for random walks with degenerate weights. Electron. J. Probab. 21, no. 33, 1–21 (2016). journal arXiv - S. Andres, J.-D. Deuschel, M. Slowik.
Harnack inequalities on weighted graphs and some applications to the random conductance model. Probab. Theory Related Fields 164, no. 3–4, 931–977 (2016). journal arXiv - S. Andres, J.-D. Deuschel, M. Slowik.
Invariance principle for the random conductance model in a degenerate ergodic environment. Ann. Probab. 43, no. 4, 1866–1891 (2015). journal arXiv - P. Benner, V. Sima, M. Slowik.
Evaluation of the Linear Matrix Equation Solvers in SLICOT. JNAIAM J. Numer. Anal. Ind. Appl. Math. 2, no. 1–2, 11–34 (2007) journal
Preprints
- S. Andres, A. Chiarini, M. Slowik
Quenched local limit theorem for random walks among time-dependent degenerate conductances on random graphs. arXiv:2001.10740, 1-29 (2020). arXiv
- S. Andres, J.-D. Deuschel, M. Slowik.
Green kernel asymptotics for two-dimensional random walks under random conductances. arXiv:1808.08126, 1-16 (2018). arXiv - M. Slowik.
A note on variational representations of capacities for reversible and non-reversible Markov chains. Preprint TU Berlin, 1–13 (2012).
Work in progress
- J.-D. Deuschel, T. Kumagai, M. Slowik
Gradient estimates of the heat kernel in the dynamic RCM. in preparation.
Thesis
- M. Slowik. Contributions to the Potential Theoretic Approach to Metastability with Applications to the Random Field Curie-Weiss-Potts Model. PhD thesis, TU Berlin, 2012. DepositOnce
Organization of events
- Co-Organisator des Workshops "Interplay of Random Media and Stochastic Interface Models (RMSI2018)", 25.06.2018-27.06.2018, TU Berlin
- Co-Organisator das Workshops "Extrema of Branching Processes and Gaussian Free Fields (BPGFF2014)", 28.11.2014-29.11.2014, TU Berlin & WIAS Berlin
- Co-Organisator der Workshops "Random Media (RM2013)", 16.09.2013-17.09.2013, TU Berlin
Zusatzinformationen / Extras
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Technische Universität Berlin
Institute of Mathematics
Faculty Mathematics and Natural Sciene
sec. MA 7-5
Room MA 769
Straße des 17. Juni 136
10623 Berlin
tel.:+49 30 314-23606
e-mail query
Institute of Mathematics
Faculty Mathematics and Natural Sciene
sec. MA 7-5
Room MA 769
Straße des 17. Juni 136
10623 Berlin
tel.:+49 30 314-23606
e-mail query