meta http-equiv="content-type" content="text/html;charset=iso-8859-1"> Publications (H.-O. Georgii)
Department Mathematik



Selected Publications of Hans-Otto Georgii

Books and Surveys:

  • Stochastik. Eine Einführung in die Wahrscheinlichkeitstheorie und Statistik.
    De Gruyter Lehrbuch, 2002, 2004, 2007, 2009, 5. Auflage 2015 (Infos)
    Stochastics. Introduction to Probability and Statistics.
    De Gruyter Textbook, 2008, 2nd edition: November 2012 (Infos)

  • Gibbs Measures and Phase Transitions.
    De Gruyter Studies in Mathematics Vol. 9. Berlin: de Gruyter 1988. (MathRev)
    2nd edition: de Gruyter 2011 (Infos)
    Russian edition: Mir 1992 (MathRev)

  • Probabilistic aspects of entropy.
    Chapter 3 of: A. Greven, G. Keller, G. Warnecke (editors), Entropy, Princeton University Press (2003), pp. 37--54. (pdf-file, MathRev)

  • The random geometry of equilibrium phases, with O. Häggström and C. Maes.
    In: C. Domb and J.L. Lebowitz (eds.) Phase Transitions and Critical Phenomena Vol. 18, Academic Press, London 2000, pp. 1-142. (pdf-file, MathRev)

  • Canonical Gibbs Measures. Some Extensions of de Finetti's Representation Theorem for Interacting Particle Systems.
    Lecture Notes in Mathematics 760. Berlin etc.: Springer 1979 (MathRev)

Recent Articles:

Stochastic Processes and Point Processes

  • Branching random tessellations with interaction: a thermodynamic view, with Tomasz Schreiber and Christoph Thäle
    The Annals of Probability 43, 1892-1943 (2015) (pdf-file)

  • Existence of Gibbsian point processes with geometry-dependent interactions, with David Dereudre and Remy Drouilhet
    Probab. Theory Related Fields 153, 643-670 (2012) (pdf-file)

  • Variational characterisation of Gibbs measures with Delaunay triangle interaction, with David Dereudre.
    Electron. J. Probab. 14, 2438-2462 (2009) (pdf-file, MathRev)

  • Mutation, selection, and ancestry in branching models: a variational approach, with Ellen Baake.
    J. Math. Biology 54, 257-303 (2007) (pdf-file, MathRev)

  • Conditional Intensity and Gibbsianness of Determinantal Point Processes, with Hyun Jae Yoo.
    J. Statist. Phys. 118, 55-84 (2005) (pdf-file, MathRev)

  • Some Jump Processes in Quantum Field Theory, with Roderich Tumulka.
    In: J.-D. Deuschel and A. Greven: Interacting Stochastic Systems, Berlin Heidelberg New York: Springer 2005, pp. 55-73. (pdf-file, MathRev)

  • Global Existence of Bell's Time-Inhomogeneous Jump Process for Lattice Quantum Field Theory, with Roderich Tumulka.
    Markov Proc. Rel. Fields 11 (2005), 1-18. (pdf-file, MathRev)

  • Supercritical multitype branching processes: the ancestral types of typical individuals, with Ellen Baake.
    Adv.Appl.Prob. 35, 1090-1110 (2003) (pdf-file, MathRev)

  • Stochastic Order of Point Processes, with T. Küneth.
    J. Appl. Prob. 34, 868-881 (1997) (pdf-file, MathRev)

Phase Transitions in Lattice and Continuum Systems

  • Mean-field theory of the Potts gas, with S. Miracle-Sole, J. Ruiz, V. Zagrebnov.
    J. Phys. A: Math. Gen. 39 (2006) 9045-9053 (pdf-file, pdf-file)

  • The Continuum Potts Model at the Disorder-Order Transition - a Study by Cluster Dynamics, with J. Lörinczi and J. Lukkarinen.
    J. Stat. Mech. (2005) P06011 (pdf-file)

  • Entropy-driven phase transitions in multitype lattice gas models, with V. Zagrebnov.
    J. Statist. Phys. 102, 35-67 (2001) (pdf-file, MathRev)

  • Phase transition and percolation in Gibbsian particle models.
    In: K.L. Mecke and D. Stoyan (eds.), Statistical Physics and Spatial Statistics, The Art of Analyzing and Modeling Spatial Structures and Pattern Formation, Lecture Notes in Physics Vol. 554, Berlin etc., Springer 2000, pp. 267-294 (pdf-file, MathRev)

  • Percolation and number of phases in the 2D Ising model, with Y. Higuchi.
    J.Math.Phys. 41, 1153-1169 (2000) (special issue on Probabilistic Methods in Statistical Physics) (pdf-file, MathRev)
    Slides of a tutorial lecture: pdf-file without drawings, zip-file of drawings (unpack with unzip)

  • Translation invariance and continuous symmetries in two-dimensional continuum systems.
    In: S. Miracle-Sole, J. Ruiz, V. Zagrebnov (eds.), Mathematical results in Statistical Mechanics, Singapore etc.,World Scientific 1999, pp. 53-69 (pdf-file)

  • On the interplay of magnetic and molecular forces in Curie-Weiss ferrofluid models, with V. Zagrebnov.
    J. Statist. Phys. 93, 79-107 (1998) (pdf-file, MathRev)

  • Phase Transitions in Continuum Potts models, with O. Häggström .
    Commun. Math. Phys. 181, 507-528 (1996) (pdf-file, MathRev)

Ergodic Theory

  • Orbit coupling.
    Ann. de l' Inst. H. Poincare', Probab. et Statist. 33, 253-268 (1997) (pdf-file, MathRev)

  • Mixing Properties of Induced Random Transformations.
    Ergodic Th. & Dynam. Systems 17, 839-847 (1997) (pdf-file, MathRev)

Large deviations

  • The Equivalence of Ensembles for Classical Systems of Particles.
    J. Statist. Phys. 80, 1341-1378 (1995) (pdf-file, MathRev)

  • Large Deviations and the Equivalence of Ensembles for Gibbsian Particle Systems with Superstable Interaction.
    Probab. Th. Rel. Fields 99, 171-195 (1994) (pdf-file, MathRev)

  • Large Deviations and the Maximum Entropy Principle for Marked Point Random Fields, with H. Zessin.
    Probab. Th. Rel. Fields 96, 177-204 (1993) (pdf-file, MathRev)

  • Large Deviations and Maximum Entropy Principle for Interacting Random Fields on $Z^d$.
    Ann. Prob. 21, 1845-1875 (1993) (pdf-file, MathRev)

Other subjects

  • Convergence to global minima for a class of diffusion processes, with J. Feng und D. Brown.
    Phys. A 276, no. 3-4, 465--476 (2000) (MathRev)

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