Publications & preprints:

[37]

M. Biskup and W. König, Eigenvalue order statistics and path localization for a random walk in a random potential, in preparation.

[36]

M. Biskup and N. Crawford, Mean-field dynamics of interacting bosons: Exchangeability approach, in preparation.

[35]

M. Biskup, Lecture notes for the PCMI Undergraduate Summer School, preliminary version   pdf

[34]

M. Biskup and H. Spohn, Scaling limit for a class of gradient fields with non-convex potentials, submitted to Ann. Probab.   pdf TeX arXiv

[33]

M. Biskup and T.M. Prescott, Functional CLT for random walk among bounded random conductances, Electron. J. Probab. 12 (2007), Paper no. 49, 1323--1348.   pdf TeX arXiv published

[32]

N. Berger, M. Biskup, C.E. Hoffman and G. Kozma, Anomalous heat-kernel decay for random walk among bounded random conductances, to appear in Ann. Inst. Henri Poincaré   pdf TeX arXiv

[31]

M. Biskup, Reflection positivity and phase transitions in lattice spin models, lecture notes from Prague Summer School on Mathematical Statistical Mechanics   pdf TeX arXiv

[30]

M. Biskup, L. Chayes and S.A. Kivelson, On the absence of ferromagnetism in typical 2D ferromagnets, Commun. Math. Phys. 274 (2007), no. 1, 217-231.   pdf TeX arXiv published

[29]

M. Biskup and R. Kotecký, Phase coexistence of gradient Gibbs states, Probab. Theory Rel. Fields 139 (2007), no. 1-2, 1-39.  pdf TeX arXiv published

[28]

M. Biskup, L. Chayes and S. Starr, Quantum spin systems at positive temperature, Commun. Math. Phys. 269 (2007), no. 3, 611-657   pdf TeX arXiv published

[27]

M. Biskup, L. Chayes and S.A. Smith, Large-deviations/thermodynamic approach to percolation on the complete graph, Random Structures & Algorithms 31 (2007), no. 3, 354-370.   pdf TeX arXiv published

[26]

M. Biskup and R. Kotecký, Forbidden gap argument for phase transitions proved by means of chessboard estimates, Commun. Math. Phys. 264 (2006), no. 3, 631-656.  pdf TeX arXiv published

[25]

N. Berger and M. Biskup, Quenched invariance principle for simple random walk on percolation clusters, Probab. Theory Rel. Fields 137 (2007), no. 1-2, 83-120.   pdf TeX arXiv published

[24]

M. Biskup, L. Chayes and N. Crawford, Mean-field driven first-order phase transitions in systems with long-range interactions, J. Statist. Phys. 122 (2006), no. 6, 1139-1193.  pdf TeX arXiv published

[23]

K.S. Alexander, M. Biskup and L. Chayes, Colligative properties of solutions: II. Vanishing concentrations, J. Statist. Phys. 119 (2005), no. 3-4, 509-537.  pdf TeX arXiv published

[22]

K.S. Alexander, M. Biskup and L. Chayes, Colligative properties of solutions: I. Fixed concentrations, J. Statist. Phys. 119 (2005), no. 3-4, 479-507.  pdf TeX arXiv published

[21]

M. Biskup, Graph diameter in long-range percolation, preprint   pdf TeX arXiv

[20]

M. Biskup, L. Chayes and S.A. Kivelson, Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry, Ann. Henri Poincaré 5 (2004), no. 6, 1181-1205.  pdf TeX arXiv published

[19]

Z. Nussinov, M. Biskup, L. Chayes and J. van den Brink, Orbital order in classical models of transition-metal compounds, Europhys. Lett. 67 (2004), no. 6, 990-996.  pdf TeX arXiv published

[18]

M. Biskup, L. Chayes and Z. Nussinov, Orbital ordering in transition-metal compounds: I. The 120-degree model, Commun. Math. Phys. 255 (2005), no. 2, 253-292.  pdf TeX arXiv published

[17]

M. Biskup, C. Borgs, J.T. Chayes, and R. Kotecký, Partition function zeros at first-order phase transitions: Pirogov-Sinai theory, J. Statist. Phys. 116 (2004), no. 1-4, 97-155.  pdf TeX arXiv published

[16]

M. Biskup, On the scaling of the chemical distance in long range percolation models, Ann. Probab. 32 (2004), no. 4, 2938-2977.  pdf TeX arXiv published

[15]

M. Biskup, C. Borgs, J.T. Chayes, L.J. Kleinwaks and R. Kotecký, Partition function zeros at first-order phase transitions: A general analysis, Commun. Math. Phys. 251 (2004), no. 1, 79-131.  pdf TeX arXiv published

[14]

M. Biskup, L. Chayes and R. Kotecký, Comment on: "Theory of the evaporation/condensation transition of equilibrium droplets in finite volumes", Physica A 327 (2003) 589-592.  pdf TeX arXiv published

[13]

M. Biskup, L. Chayes and R. Kotecký, A proof of the Gibbs-Thomson formula in the droplet formation regime, J. Statist. Phys. 116 (2004), no. 1-4, 175-203.  pdf TeX arXiv published

[12]

M. Biskup, L. Chayes and R. Kotecký, Critical region for droplet formation in the two-dimensional Ising model, Commun. Math. Phys. 242 (2003), no. 1-2, 137-183.  pdf TeX arXiv published

[11]

M. Biskup and L. Chayes, Rigorous analysis of discontinuous phase transitions via mean-field bounds, Commun. Math. Phys. 238 (2003), no. 1-2, 53-93.  pdf TeX arXiv published

[10]

M. Biskup, Ph. Blanchard, L. Chayes, D. Gandolfo and T. Krüger, Phase transition and critical behavior in a model of organized criticality, Probab. Theory Rel. Fields. 128 (2004), no. 1, 1-41.  pdf TeX arXiv published

[9]

M. Biskup, L. Chayes and R. Kotecký, On the formation/dissolution of equilibrium droplets, Europhys. Lett. 60 (2002), no. 1, 21-27.  pdf arXiv published

[8]

M. Biskup and W. König, Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model, J. Statist. Phys. 102 (2001), no. 5/6, 1253-1270.  arXiv published

[7]

M. Biskup and W. König, Long-time tails in the parabolic Anderson model with bounded potential, Ann. Probab. 29 (2001), no. 2, 636-682.  arXiv published

[6]

M. Biskup, C. Borgs, J.T. Chayes, L.J. Kleinwaks and R. Kotecký, General theory of Lee-Yang zeros in models with first-order phase transitions, Phys. Rev. Lett. 84 (2000), no. 21, 4794-4797.  arXiv published

[5]

M. Biskup, L. Chayes and R. Kotecký, Coexistence of partially disordered/ordered phases in an extended Potts model, J. Statist. Phys. 99 (2000), no. 5/6, 1169-1206.  published

[4]

M. Biskup, C. Borgs, J.T. Chayes and R. Kotecký, Gibbs states of graphical representations of the Potts model with external fields, J. Math. Phys. 41 (2000), no. 3, 1170-1210.  published

[3]

M. Biskup, On Three Techniques for Rigorous Proofs of First Order Phase Transitions, PhD thesis (defended on July 30, 1999 at University of Nijmegen, The Netherlands) pdf

[2]

M. Biskup and F. den Hollander, A heteropolymer near a linear interface, Ann. Appl. Probab. 9 (1999), no. 3, 668-687.  published

[1]

M. Biskup, Reflection positivity of the random-cluster measure invalidated for non-integer q, J. Statist. Phys. 92 (1998), no. 3/4, 369-375.  published

Popular articles & unpublished preprints

[5]

M. Biskup, L. Chayes and R. Kotecký, On the continuity of the magnetization and the energy density for Potts models on two-dimensional graphs, mp-arc version (unpublished manuscript).

[4]

M. Biskup, P. Cejnar and R. Kotecký, Kvantové pocítace, Vesmír 76 (1997) 250--255; A popular article in Czech on quantum computing. journal  HTML transcript

[3]

M. Biskup, Decoherence and efficiency of quantum error correction, quant-ph/9608010 (unpublished manuscript).

[2]

M. Biskup, On the subshifts of compact type, Master Class paper (unpublished manuscript).

[1]

M. Biskup, Mean-Field Theory of Diluted Potts Models, Diploma thesis (in Czech), June 1994.


If unable to view/print the pdf files and/or unable to download the published, email biskup@math.ucla.edu.