Prof. RNDr. Roman Kotecký DrSc.

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

Phone: +420 221 183 533

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:

Threshold phenomena in stochastic systems [detail]

2012 - 2015, Czech Science Foundation P201/12/2613

Selected bibliography:

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

Červený Kostelec, Pavel Mervart 2011. [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