Roman Kotecký Professor of Mathematics  Office: B2.13 Phone: +44 (0)24 7652 3743 Email: R dot Kotecky at warwick dot ac dot uk

 

Teaching Responsibilities 2020/21:

Term 1: MA241 Combinatrics

Term 2: MA4L2 Statistical Mechanics

Research Interests:

Probability; statistical physics; theory of phase transitions

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Selected recent publications:

R. Kotecký, Statistical Mechanics and Nonlinear Elasticity. 44 pages, Lecture Notes from the Summer School "Mathematics and Materials", Park City, 2014, IAS/Park City Mathematics Series, Volume 23, (2017).

S. Adams, R. Kotecký, S. Mueller. Strict convexity of the surface tension for nonconvex potentials. 151 pages, arXiv:1606.09541.

R. Kotecký, P. Miłoś, and D. Ueltschi. The random interchange process on the hypercube. Electronic Commun. in Probability 21 (2016), 1-9.

R. Kotecký, A. D. Sokal, and J. M. Swart. Entropy driven phase transition in low-temperature antiferromagnetic Potts models. Commun. Math. Phys. 330 (2014) 1339-1394.

R. Kotecký, S. Luckhaus. Nonlinear elastic free energies and gradient Young-Gibbs measures. Commun. Math. Phys. 326 (2014) 887-917.

Adams, Stefan, Kotecky, Roman and Müller, Stefan. Finite range decomposition for families of Gaussian measures. Journal of Functional Analysis, 264 (1) (2013) 169-206.

Huang, Yuan, Chen, Kun, Deng, Youjin, Jacobsen, Jesper Lykke, Kotecky, Roman, Salas, Jesús, Sokal, Alan D. and Swart, Jan M.. Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q. Physical Review E, Volume 87 (Number 1) (2013) Article number 012136 .

Biskup, Marek and Kotecky, Roman. True nature of long-range order in a plaquette orbital model. Journal of Statistical Mechanics: Theory and Experiment, Vol.2010 (No.11) (2010) P11001.

Biskup M., Kotecky R. Phase coexistence of gradient Gibbs states. Probab. Theory Relat. Fields 139 (2007) 1–39

Biskup M., Kotecky R. Forbidden gap argument for phase transitions proved by means of chessboard. Comm. Math. Phys. 264 (2006) 631-656

Biskup M., Borgs C., Chayes J.T., Kotecky R., Kleinwaks L. Partitition funtion zeros at first-order phase transitions: A general anlysis. Comm. Math. Phys. 251 (2004) 79 - 131

Biskup M., Borgs C., Chayes J.T., Kotecky R. Partitition funtion zeros at first-order phase transitions: Pirogov–Sinai Theory. Journal of Statistical Physics 116 (2004) 97 - 155

Biskup M., Chayes L., Kotecky R. Critical region for droplet formation in the two-dimentional Ising model. Comm. Math. Phys. 242 (2003) 137-183

For more information and further publications see Roman Kotecky's homepage or his Expertise Profile