# Mathematics Institute

 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 2018/19:

Term 2: MA911 (P2) Probability: Theory and Examples and MA3B8 Complex Analysis

Students (4th year projects & MSc & PhD)

Research Interests:

Probability theory, Large deviation theory, interacting Brownian motions, statistical mechanics (Gibbs measures; mathematics of phase transitions; Bosonic systems and loop measures), gradient and Laplacian models, multiscale systems (renormalisation group theory), Wasserstein gradient flow

May 2016: Trends in mathematical crystallisation

Lecture Notes:

Lecture notes Mathematical Statistical Mechanics, CDIAS Series A, No. 30, 2006 (pdf)
Adams, S. and Dickson, M., Large deviation analysis for classes of interacting Bosonic cycle counts, preprint arXiv:1809.03387 (2018)
Adams, S. and Eyers, M., The Widom-Rowlinson Model on the Delaunay Graph, preprint arXiv:1705.07649 (2017)
Adams, S. and Vogel, Q., Space-time random walk loop measures, preprint arXiv:1711.02766v2 (2017)
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).

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., 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, \$C^*\$-algebraic approach to the Bose-Hubbard model, Journal of Mathematical Physics 48, 103304-(1-14) (2007).
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).
Adams, S. and J.-B. Bru, A New Microscopic Theory of Superfluidity at all Temperatures, Annales Henri Poincaré. 5, 435-476 (2004).
Adams, S. and J.-B. Bru, Exact Solution of the AVZ-Hamiltonian in the Grand-Canonical Ensemble, Annales Henri Poincaré. 5, 405-434 (2004).

Recent research grants:
First grant: (100% for 2011-12)

Recent awards & prizes:

Personal Homepage:
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