Dr Stefan Adams
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Stefan Adams Associate Professor (Reader) Office: B2.18 Phone: +44 (0) 24 7652 3571 Email: S dot Adams at warwick dot ac dot uk |
Teaching Responsibilities 2023/24:
Term 1: MA4L3 (Large Deviation Theory)
Term 2 MA3K0 (High-Dimensional Probability)
Students (list of potential MMath projects; MSc, PhD)
Research Interests:
Probability theory: Large deviation theory, concentration of measure problems, machine learning, interacting Brownian motions, statistical mechanics (interacting particle systems), random partitions (scaling limits), gradient & Laplacian models, multi-scale systems (renormalisation group theory) and Wasserstein gradient flows, dependent percolation in Euclidian spaces
Lecture Notes:
Lecture Notes - Large Deviation Theory
Lecture Notes - High-Dimensional Probability
Lecture Notes - Introduction to graduate probability
Lecture notes - Complex Analysis
Lecture Notes - Large deviations for stochastic processes
Lecture Notes - Functionalanalysis II
Most relevant recent publications:
- Adams, S. and Koller, A., The Hessian of surface tension characterises scaling limit of gradient models with non-convex energyLink opens in a new window, arXiv:2306.12226 (2023).
- Adams, S. and Dickson, M., Large deviations analysis for random combinatorial partitions with counter terms, arXiv:2109.12666 (2021); J. Phys. A: Math. Theor. 55 (2022) 255001 (52pp) (pdf); https://doi.org/10.1088/1751-8121/ac6f32.
- Adams, S. and Dickson, M., An Explicit Large Deviation Analysis of the Spatial Cycle Huang-Yang-Luttinger Model, Annales Henri Poincaré 22, 1535--1560 (2021) (pdf).
- Adams, S. and Horrigan, S., Phase transition for Gibbs Delaunay Tessellations with geometric hardcore conditions, arXiv:2104.05108 (2021)
- Adams, S. and Mukherjee, C., Commutative diagram of the Gross-Pitaevskii approximation, arXiv:1911.09635 (2019).
- Adams, S. and Eyers, M., The Widom-Rowlinson Model on the Delaunay Graph, preprint arXiv:1705.07649, Electronic Journal of Probability 24, no. 114, 1-41, (2019).
- Adams,S.; Buchholz,S.; Kotecký and Müller, S., Cauchy-Born Rule from Microscopic Models with Non-convex Potentials, 168 pages, arXiv:1910.13564v1 (2019).
- Adams, S. and Vogel, Q., Space-time random walk loop measures, preprint arXiv:1711.02766v2 ; Stochastic Processes and their Applications online publication 18 June (2019) https://doi.org/10.1016/j.spa.2019.06.006, Stochastic Processes and their Applications 130, 2086--2126 (2020) (pdf).
- Adams, S., Kotecký, R., Müller, S., Strict Convexity of the Surface Tension for Non-convex Potentials, preprint arXiv:1606.09541, (2016).
- Adams, S., Kister, A., Weber, H.; Sample path large deviations for Laplacian models in $(1+1)$-dimensions, preprint arXiv:1602.02226v2, Electron. J. Probab. 21 (2016), no. 62, 1-36.
- Adams, S., Briceno, R., Marcus, B., Pavlov, R., Representation and poly-time approximation for pressure of $ \mathbb{Z}^2 $ lattice models in the non-uniqueness region, preprint arXiv 1508.06590, Journal of Statistical Physics 162, No1, DOI 10.1007/s10955-015-1433-4 (2015).
- Adams, S., Eyers, M., Phase transitions in Delaunay Potts models, prepint arXiv 1504.02769, Journal of Statistical Physics 161 No 4, DOI 10.1007/s10955-015-1393-8 (2015) (pdf).
- Adams, S., Kotecký, R., Müller, S., Finite range decomposition for families of gradient Gaussian measures, JFA 264, 169-206 (2013).
- Adams, S., Dirr, N., Peletier, M., Zimmer, J., Large deviations and gradient flows, Phil. Trans A 371, 20120341 (2013).
- Adams, S., Large deviations for stochastic processes, EURANDOM reports 2012-25, (2012).
- Adams, S., Dirr, N., Peletier, M., Zimmer, J., From a large deviations principle to the Wasserstein gradient flow: a new micro-macro passage, Comm. Math. Phys. 307:791-815 (2011).
Adams, S., Collevechio, A., and König, W., A variational formula for the free energy of an interacting many-particle system, Annals of Probab. 39, Number 2, 683-728 (2011). - Adams, S., Large deviations for empirical measures in cycles of integer partitions and their relation to systems of Bosons, Analysis and Stochastics of Growth Processes, LMS, Oxford University Press, 148-172 (2008).
- Adams, S. and W. König, Large deviations for many Brownian bridges with symmetrised initial-terminal condition, Probab. Theory Rel. Fields, Volume 142, Numbers 1-2, 79-124, (2008).
- Adams, S. and T. Dorlas, Asymptotic Feynman-Kac formulae for large symmetrised systems of random walks, Annales de l'institut Henri Poincaré (B) Probabilité et Statistiques, Volume 44, No. 5, 837-875 (2008).
- Adams, S. and J.-B. Bru and W. König, Large systems of path-repellent Brownian motions in a trap at positive temperature, EJP Vol 11, 460-485 (2006).
- Adams, S. and J.-B. Bru and W. König, Large deviations for trapped interacting Brownian particles and paths, Annals of Probab. 34, 1340-1422 (2006).
Workshops/conferences/seminars:
May 2016: Trends in mathematical crystallisation
May 2015: Summer school on 'Topics in renormalisation group theory and regularity structures'
Warwick Statistical Mechanics Seminar
Workshop Gradient Models and Elasticity (Warwick)
Conference in honour of Hans-Otto Georgii at Ludwig-Maximilians Universität München
Recent research grants:
First grant: (100% for 2011-12)
Recent awards & prizes:
Personal Homepage: