Prof. RNDr. Roman Kotecký, DrSc.

Personal website: http://www.cts.cuni.cz/~kotecky/

Phone: +420 221 183 530

I am interested in mathematics and physics of phase transitions. Different aspects of the theory of phase transitions; Pirogov-Sinai theory and cluster expansions, finite-size effects, zeros of partition function, annealed dilution, interfaces and wetting, equilibrium crystal shapes, dynamics of lattice models and crystal growth. Quantum lattice models.

Current grants (Associate investigator):

Large scale limits of interacting stochastic models [detail]

2020 - 2022, GA ČR 20-08468S, board n. P201

Selected bibliography:

Kotecký, Roman ; Lees, B. (2019): Staggered Long-Range Order for Diluted Quantum Spin Models

Journal Of Statistical Physics, 175(5), pp.972–986.

Kotecký, Roman ; Sokal, A. D.; Swart, Jan M. (2014): Entropy driven phase transition in low-temperature antiferromagnetic Potts models

Commun. Math. Phys., 330: 1339--1394

Kotecký, Roman ; Luckhaus, S. (2014): Nonlinear elastic free energies and gradient Young-Gibbs measures

Commun. Math. Phys., 326: 887-917

Adams, Stefan; Kotecký, Roman ; Müller, Stefan (2013): Finite range decomposition for families of gradient Gaussian measures

Journal of Functional Analysis, 264: 169–206

Huang, Yuan; Chen, Kun; Deng, Youjin; Jacobsen, Jesper Lykke; Kotecký, Roman ; Salas, J.; Sokal, A. D.; Swart, Jan M. (2013): Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, roč. 87, č. 1, nestránkováno.

Velický, Bedřich; Kotecký, Roman ; Krtouš, Pavel; Trlifajová, Kateřina; Holeček, Miroslav; Kůrka, Petr; Pazák, Tomáš; Větrovcová, Marie; Chvatík, Ivan; Kuneš, Jan ; Beran, Ondřej; Ajvaz, Michal; Matoušek, Alexander (2011): Spor o matematizaci světa (Dispute on Mathematization of the World)

Červený Kostelec: Pavel Mervart, 2011. ISBN 978-80-7465-012-3. [detail]

Biskup, Marek; Kotecký, Roman (2010): True nature of long-range order in a plaquette orbital model

Journal of Statistical Mechanics, P11001

Kotecký, Roman ; Salas, J.; Sokal, A. D. (2008): Phase transition in the 3-state Potts antiferromagnet on the diced lattice

Phys. Rev. Letters, 101

Biskup, Marek; Kotecký, Roman (2007): Phase coexistence of gradient Gibbs states

Probability Theory and Related Fields, 139: 1-39

Biskup, Marek; Kotecký, Roman (2006): Forbidden gap argument for phase transitions proved by means of chessboard estimates

Commun. Math. Phys., 264: 631-656

Biskup, Marek; Borgs, Christian; Chayes, J. T.; Kleinwaks, L.; Kotecký, Roman (2004): Partition function zeros at first-order phase transitions: A general analysis

Commun. Math. Phys., 251: 79-131

Biskup, Marek; Borgs, Christian; Chayes, J. T.; Kotecký, Roman (2004): Partition function zeros at first-order phase transitions: Pirogov-Sinai theory

Jour. Stat. Phys., 116: 97-155

Biskup, Marek; Chayes, J. T.; Kotecký, Roman (2003): Critical region for droplet formation in the two-dimensional Ising model

Commun. Math. Phys., 242: 137-183

Biskup, Marek; Chayes, J. T.; Kotecký, Roman (2002): On the formation/dissolution of equilibrium droplets

Europhys. Letters, 60: 21-27

Hryniv, O.; Kotecký, Roman (2001): Surface tension and the Ornstein-Zernike behaviour for the 2D Blume-Capel model

Journal of Statistical Physics, 106: 431-476

Biskup, Marek; Borgs, Christian; Chayes, J. T.; Kleinwaks, L.; Kotecký, Roman (2000): A general theory of Lee-Yang zeros in models with first-order phase transitions

Physical Review Letters, 84: 4794-8