Publications & preprints:
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[41] |
M. Biskup, O. Louidor, E.B. Procaccia, R. Rosenthal, Isoperimetry in two-dimensional percolation, preprint pdf TeX arXiv |
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[40] |
M. Biskup, M. Salvi and T. Wolff, A central limit theorem for the effective conductance: I. Linear boundary data and small ellipticity contrasts, submitted to Commun. Math. Phys. pdf TeX arXiv |
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[39] |
M. Biskup, O. Louidor, A. Rozinov and A. Vandenberg-Rodes, Trapping in the random conductance model, J. Statist. Phys. 150 (2013), no. 1, 66--87 pdf TeX arXiv published |
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[38] |
M. Biskup, Recent progress on the Random Conductance Model, Prob. Surveys 8 (2011) 294--373 pdf TeX arXiv published |
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[37] |
M. Biskup and N. Crawford, Absence of magnetism in continuous-spin systems with long-range antialigning forces, J. Statist. Phys. 144 (2011), no. 4, 731--748 pdf TeX arXiv published |
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[36] |
M. Biskup and O. Boukhadra, Subdiffusive heat-kernel decay in four-dimensional i.i.d. random conductance models, J. Lond. Math. Soc. 86 (2012), no. 2, 455--481. pdf TeX arXiv published |
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[35] |
M. Biskup and R. Kotecký, True nature of long-range order in a plaquette orbital model, J. Statist. Mech. 2010 (2010), no. 11, P11001. pdf TeX arXiv published |
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[34] |
M. Biskup, Graph diameter in long-range percolation, Random Structures & Algorithms 39 (2011), no. 2, 210--227. pdf TeX arXiv published |
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[33] |
M. Biskup and R.H. Schonmann, Metastable behavior for bootstrap percolation on regular trees, J. Statist. Phys. 136 (2009), no. 4, 667-676. pdf TeX arXiv published |
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[32] |
M. Biskup and H. Spohn, Scaling limit for a class of gradient fields with non-convex potentials, Ann. Probab. 39 (2011), no. 1, 224--251. pdf TeX arXiv published |
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[31] |
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 |
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[30] |
N. Berger, M. Biskup, C.E. Hoffman and G. Kozma, Anomalous heat-kernel decay for random walk among bounded random conductances, Ann. Inst. Henri Poincaré 274 (2008), no. 2, 374--392. pdf TeX arXiv published |
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[29] |
M. Biskup, Reflection positivity and phase transitions in lattice spin models, In: R. Kotecký (ed), Methods of Contemporary Mathematical Statistical Physics, Lecture Notes in Mathematics, vol. 1970, Springer-Verlag Berlin Heidelberg, 2009, pp. 1-86. pdf arXiv published |
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[28] |
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 |
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[27] |
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 |
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[26] |
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 |
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[25] |
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 |
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[24] |
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 |
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[23] |
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 |
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[22] |
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 |
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[21] |
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 |
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[20] |
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 |
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[19] |
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 |
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[18] |
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 |
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[17] |
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 |
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[16] |
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 |
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[15] |
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 |
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[14] |
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 |
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[13] |
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 |
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[12] |
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 |
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[11] |
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 |
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[10] |
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 |
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[9] |
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 |
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[8] |
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 |
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[7] |
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 |
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[6] |
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 |
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[5] |
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 |
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[4] |
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 |
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[3] |
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 |
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[2] |
M. Biskup and F. den Hollander, A heteropolymer near a linear interface, Ann. Appl. Probab. 9 (1999), no. 3, 668-687. published |
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[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, theses & unpublished preprints
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[6] |
M. Biskup, Lecture notes for the PCMI Undergraduate Summer School, preliminary version pdf |
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[5] |
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 |
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[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). |
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[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 |
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[3] |
M. Biskup, Decoherence and efficiency of quantum error correction, quant-ph/9608010 (unpublished manuscript). |
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[2] |
M. Biskup, On the subshifts of compact type, Master Class paper (unpublished manuscript). |
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[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.