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## Georgii, Hans-Otto

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 Author ID: georgii.hans-otto Published as: Georgii, H. O.; Georgii, H.-O.; Georgii, Hans-Otto Homepage: http://www.mathematik.uni-muenchen.de/~georgii/ External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 40 Publications since 1975, including 11 Books Biographic References: 1 Publication
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#### Co-Authors

 24 single-authored 3 Zagrebnov, Valentin A. 2 Baake, Ellen 2 Dereudre, David 2 Tumulka, Roderich 1 Drouilhet, Rémy 1 Häggström, Olle 1 Higuchi, Yasunari 1 Küneth, Torsten 1 Lörinczi, József 1 Lukkarinen, Jani 1 Miracle-Sole, Salvador 1 Ruiz, Jean 1 Schreiber, Tomasz 1 Thäle, Christoph 1 Yoo, Hyun Jae 1 Zessin, Hans N.
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#### Serials

 4 Journal of Statistical Physics 3 Probability Theory and Related Fields 2 Advances in Applied Probability 2 The Annals of Probability 2 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 2 De Gruyter Studies in Mathematics 2 De Gruyter Textbook 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Metrika 1 Journal of Applied Probability 1 Ergodic Theory and Dynamical Systems 1 Journal of Physics A: Mathematical and General 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Electronic Journal of Probability 1 Markov Processes and Related Fields 1 Journal of Statistical Mechanics: Theory and Experiment 1 Lecture Notes in Mathematics
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#### Fields

 37 Probability theory and stochastic processes (60-XX) 20 Statistical mechanics, structure of matter (82-XX) 7 Statistics (62-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

31 Publications have been cited 833 times in 699 Documents Cited by Year
Gibbs measures and phase transitions. Zbl 0657.60122
Georgii, Hans-Otto
1988
Gibbs measures and phase transitions. 2nd extended ed. Zbl 1225.60001
Georgii, Hans-Otto
2011
Canonical Gibbs measures. Some extensions of de Finetti’s representation theorem for interacting particle systems. Zbl 0409.60094
Georgii, H. O.
1979
Large deviations and the maximum entropy principle for marked point random fields. Zbl 0792.60024
Georgii, Hans-Otto; Zessin, Hans
1993
Phase transition in continuum Potts models. Zbl 0858.60098
Georgii, H.-O.; Häggström, O.
1996
Large deviations and maximum entropy principle for interacting random fields on $$\mathbb{Z}^ d$$. Zbl 0790.60031
Georgii, Hans-Otto
1993
Existence of Gibbsian point processes with geometry-dependent interactions. Zbl 1256.60036
Dereudre, David; Drouilhet, Remy; Georgii, Hans-Otto
2012
Supercritical multitype branching processes: The ancestral types of typical individuals. Zbl 1044.60080
Georgii, Hans-Otto; Baake, Ellen
2003
The equivalence of ensembles for classical systems of particles. Zbl 1081.82504
Georgii, Hans-Otto
1995
Conditional intensity and Gibbsianness of determinantal point processes. Zbl 1130.82016
Georgii, Hans-Otto; Yoo, Hyun Jae
2005
Stochastic comparison of point random fields. Zbl 0905.60030
Georgii, Hans-Otto; Küneth, Torsten
1997
Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction. Zbl 0803.60097
Georgii, Hans-Otto
1994
Mutation, selection, and ancestry in branching models: a variational approach. Zbl 1116.92047
Baake, Ellen; Georgii, Hans-Otto
2007
Percolation and number of phases in the two-dimensional Ising model. Zbl 1045.82500
Georgii, Hans-Otto; Higuchi, Yasunari
2000
Mean-field theory of the Potts gas. Zbl 1105.82005
Georgii, Hans-Otto; Miracle-Sole, Salvador; Ruiz, Jean; Zagrebnov, Valentin A.
2006
Some jump processes in quantum field theory. Zbl 1091.60022
Tumulka, Roderich; Georgii, Hans-Otto
2005
On canonical Gibbs states, symmetric and tail events. Zbl 0323.60087
Georgii, Hans-Otto
1976
Branching random tessellations with interaction: a thermodynamic view. Zbl 1320.60035
Georgii, Hans-Otto; Schreiber, Tomasz; Thäle, Christoph
2015
Global existence of Bell’s time-inhomogeneous jump process for lattice quantum field theory. Zbl 1069.60069
Georgii, H.-O.; Tumulka, R.
2005
On the ferromagnetic and the percolative region of random spin systems. Zbl 0553.60094
Georgii, Hans-Otto
1984
Variational characterisation of Gibbs measures with Delaunay triangle interaction. Zbl 1190.60091
Dereudre, David; Georgii, Hans-Otto
2009
On the interplay of magnetic and molecular forces in Curie-Weiss ferrofluid models. Zbl 0963.82015
Georgii, Hans-Otto; Zagrebnov, Valentin
1998
Probabilistic aspects of entropy. Zbl 1163.82304
Georgii, Hans-Otto
2003
Entropy-driven phase transitions in multitype lattice gas models. Zbl 1036.82008
Georgii, Hans-Otto; Zagrebnov, Valentin
2001
Disordered Ising ferromagnets and percolation. Zbl 0566.60099
Georgii, H. O.
1985
Equilibria for particle motions: Conditionally balanced point random fields. Zbl 0495.60054
Georgii, H.-O.
1982
Canonical Gibbs states, their relation to Gibbs states, and applications to two-valued Markov chains. Zbl 0296.60075
Georgii, Hans-Otto
1975
Stochastics. Introduction to probability and statistics. Translated by Marcel Ortgiese, Ellen Baake and the author. Translation from the 3rd German ed. Zbl 1270.62005
Georgii, Hans-Otto
2008
Stochastics. Introduction to probability theory and statistics. 2nd revised edition. Zbl 1082.62002
Georgii, Hans-Otto
2004
Mixing properties of induced random transformations. Zbl 0882.60067
Georgii, Hans-Otto
1997
Orbit coupling. Zbl 0876.60002
Georgii, Hans-Otto
1997
Branching random tessellations with interaction: a thermodynamic view. Zbl 1320.60035
Georgii, Hans-Otto; Schreiber, Tomasz; Thäle, Christoph
2015
Existence of Gibbsian point processes with geometry-dependent interactions. Zbl 1256.60036
Dereudre, David; Drouilhet, Remy; Georgii, Hans-Otto
2012
Gibbs measures and phase transitions. 2nd extended ed. Zbl 1225.60001
Georgii, Hans-Otto
2011
Variational characterisation of Gibbs measures with Delaunay triangle interaction. Zbl 1190.60091
Dereudre, David; Georgii, Hans-Otto
2009
Stochastics. Introduction to probability and statistics. Translated by Marcel Ortgiese, Ellen Baake and the author. Translation from the 3rd German ed. Zbl 1270.62005
Georgii, Hans-Otto
2008
Mutation, selection, and ancestry in branching models: a variational approach. Zbl 1116.92047
Baake, Ellen; Georgii, Hans-Otto
2007
Mean-field theory of the Potts gas. Zbl 1105.82005
Georgii, Hans-Otto; Miracle-Sole, Salvador; Ruiz, Jean; Zagrebnov, Valentin A.
2006
Conditional intensity and Gibbsianness of determinantal point processes. Zbl 1130.82016
Georgii, Hans-Otto; Yoo, Hyun Jae
2005
Some jump processes in quantum field theory. Zbl 1091.60022
Tumulka, Roderich; Georgii, Hans-Otto
2005
Global existence of Bell’s time-inhomogeneous jump process for lattice quantum field theory. Zbl 1069.60069
Georgii, H.-O.; Tumulka, R.
2005
Stochastics. Introduction to probability theory and statistics. 2nd revised edition. Zbl 1082.62002
Georgii, Hans-Otto
2004
Supercritical multitype branching processes: The ancestral types of typical individuals. Zbl 1044.60080
Georgii, Hans-Otto; Baake, Ellen
2003
Probabilistic aspects of entropy. Zbl 1163.82304
Georgii, Hans-Otto
2003
Entropy-driven phase transitions in multitype lattice gas models. Zbl 1036.82008
Georgii, Hans-Otto; Zagrebnov, Valentin
2001
Percolation and number of phases in the two-dimensional Ising model. Zbl 1045.82500
Georgii, Hans-Otto; Higuchi, Yasunari
2000
On the interplay of magnetic and molecular forces in Curie-Weiss ferrofluid models. Zbl 0963.82015
Georgii, Hans-Otto; Zagrebnov, Valentin
1998
Stochastic comparison of point random fields. Zbl 0905.60030
Georgii, Hans-Otto; Küneth, Torsten
1997
Mixing properties of induced random transformations. Zbl 0882.60067
Georgii, Hans-Otto
1997
Orbit coupling. Zbl 0876.60002
Georgii, Hans-Otto
1997
Phase transition in continuum Potts models. Zbl 0858.60098
Georgii, H.-O.; Häggström, O.
1996
The equivalence of ensembles for classical systems of particles. Zbl 1081.82504
Georgii, Hans-Otto
1995
Large deviations and the equivalence of ensembles for Gibbsian particle systems with superstable interaction. Zbl 0803.60097
Georgii, Hans-Otto
1994
Large deviations and the maximum entropy principle for marked point random fields. Zbl 0792.60024
Georgii, Hans-Otto; Zessin, Hans
1993
Large deviations and maximum entropy principle for interacting random fields on $$\mathbb{Z}^ d$$. Zbl 0790.60031
Georgii, Hans-Otto
1993
Gibbs measures and phase transitions. Zbl 0657.60122
Georgii, Hans-Otto
1988
Disordered Ising ferromagnets and percolation. Zbl 0566.60099
Georgii, H. O.
1985
On the ferromagnetic and the percolative region of random spin systems. Zbl 0553.60094
Georgii, Hans-Otto
1984
Equilibria for particle motions: Conditionally balanced point random fields. Zbl 0495.60054
Georgii, H.-O.
1982
Canonical Gibbs measures. Some extensions of de Finetti’s representation theorem for interacting particle systems. Zbl 0409.60094
Georgii, H. O.
1979
On canonical Gibbs states, symmetric and tail events. Zbl 0323.60087
Georgii, Hans-Otto
1976
Canonical Gibbs states, their relation to Gibbs states, and applications to two-valued Markov chains. Zbl 0296.60075
Georgii, Hans-Otto
1975
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#### Cited by 737 Authors

 28 Kondrat’yev, Yuriĭ Grygorovych 26 Rozikov, Utkir A. 25 Külske, Christof 20 van Enter, Aernout C. D. 17 Albeverio, Sergio A. 17 Mukhamedov, Farruh Maksutovich 14 Röckner, Michael 12 Dereudre, David 12 Kozitsky, Yuri V. 12 Redig, Frank 12 Steif, Jeffrey E. 11 Daletskii, Alexei 11 Häggström, Olle 11 Lebowitz, Joel Louis 11 Pasurek, Tatiana 10 Maes, Christian 9 Chazottes, Jean-René 9 Georgii, Hans-Otto 9 Jahnel, Benedikt 9 Lopes, Artur Oscar 9 Roelly, Sylvie 9 Spohn, Herbert 8 Biskup, Marek 8 Le Ny, Arnaud 8 Mossel, Elchanan 7 Cioletti, Leandro Martins 7 Fernández, Roberto 7 Presutti, Errico 7 Ruszel, Wioletta Magdalena 7 Tumulka, Roderich 6 Adams, Stefan 6 Bissacot, Rodrigo 6 Duminil-Copin, Hugo 6 Khakimov, Rustamjon M. 6 Kotecký, Roman 6 Montanari, Andrea 6 Rahmatullaev, Muzaffar 6 Sinclair, Alistair 6 Zessin, Hans N. 5 Aizenman, Michael 5 Baake, Ellen 5 Chayes, Lincoln 5 Deuschel, Jean-Dominique 5 Endo, Eric Ossami 5 Goldstein, Sheldon 5 König, Wolfgang Dieter 5 Kutoviy, Oleksandr V. 5 Lavancier, Frédéric 5 Marcus, Brian H. 5 Novozhilov, Artem S. 5 Schreiber, Tomasz 5 Semenov, Yuri S. 5 Seppäläinen, Timo 5 Suhov, Yurii Mikhailovich 5 Taati, Siamak 5 Vigoda, Eric 5 Yoo, Hyun Jae 4 Akin, Hasan 4 Baddeley, Adrian John 4 Bansaye, Vincent 4 Botirov, Golibjon I. 4 Briceño, Raimundo 4 Brightwell, Graham R. 4 Cassandro, Marzio 4 Collet, Pierre 4 Coquille, Loren 4 Cotar, Codina 4 Drouilhet, Rémy 4 Eyink, Gregory L. 4 Fradon, Myriam 4 Haydarov, Farhod Halimjonovich 4 Janžura, Martin 4 Khakimov, Rustam M. 4 Last, Günter 4 Löcherbach, Eva 4 Martinelli, Fabio 4 Netočný, Karel 4 Pavlov, Ronnie 4 Rassoul-Agha, Firas 4 Richthammer, Thomas 4 Ruiz, Jean 4 Saburov, Mansoor 4 Shlosman, Senya B. 4 Sokal, Alan D. 4 Štefankovič, Daniel 4 Ugalde, Edgardo 4 van den Berg, Rob 4 Weitz, Dror 4 Zagrebnov, Valentin A. 3 Baraviera, Alexandre Tavares 3 Ben Arous, Gérard 3 Bovier, Anton 3 Burton, Robert M. jun. 3 Chandgotia, Nishant 3 Coeurjolly, Jean-François 3 Comets, Francis M. 3 Coupier, David 3 De Roeck, Wojciech 3 den Hollander, Frank 3 Dreassi, Emanuela ...and 637 more Authors
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#### Cited in 139 Serials

 130 Journal of Statistical Physics 51 Communications in Mathematical Physics 41 Stochastic Processes and their Applications 32 The Annals of Probability 32 Probability Theory and Related Fields 29 The Annals of Applied Probability 20 Journal of Mathematical Physics 16 Theoretical and Mathematical Physics 15 Reviews in Mathematical Physics 13 Journal of Functional Analysis 10 Ergodic Theory and Dynamical Systems 10 Mathematical Physics, Analysis and Geometry 10 Journal of Statistical Mechanics: Theory and Experiment 9 Statistics & Probability Letters 8 Reports on Mathematical Physics 7 Advances in Applied Probability 7 Random Structures & Algorithms 7 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Stochastics and Dynamics 6 International Journal of Modern Physics B 6 Journal of Applied Probability 6 Bernoulli 6 Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 ALEA. Latin American Journal of Probability and Mathematical Statistics 6 Electronic Journal of Statistics 5 Israel Journal of Mathematics 5 Journal of Mathematical Biology 5 Physics Letters. A 4 Mathematical Biosciences 4 Scandinavian Journal of Statistics 4 The Annals of Statistics 4 Duke Mathematical Journal 4 Journal of Combinatorial Theory. Series B 4 Kybernetika 4 Mathematische Nachrichten 4 Transactions of the American Mathematical Society 4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Brazilian Journal of Probability and Statistics 4 Journal of Siberian Federal University. Mathematics & Physics 3 Siberian Mathematical Journal 3 Theoretical Population Biology 3 Journal of Theoretical Probability 3 Journal of Mathematical Sciences (New York) 3 Electronic Journal of Probability 3 New Journal of Physics 3 Lobachevskii Journal of Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Probability Surveys 2 Communications on Pure and Applied Mathematics 2 Letters in Mathematical Physics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Inventiones Mathematicae 2 Journal of Economic Theory 2 Kybernetes 2 Proceedings of the American Mathematical Society 2 Applications of Mathematics 2 Linear Algebra and its Applications 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Combinatorics, Probability and Computing 2 Electronic Communications in Probability 2 Discrete and Continuous Dynamical Systems 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 Dynamical Systems 2 Stochastics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 The Canadian Journal of Statistics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Nuclear Physics. B 1 Physica A 1 Reviews of Modern Physics 1 Bulletin of Mathematical Biology 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Automatica 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Computer and System Sciences 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Mathematische Zeitschrift 1 Mathematika 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Computing 1 Statistica Neerlandica 1 Theoretical Computer Science 1 Transactions of the Moscow Mathematical Society 1 Advances in Applied Mathematics 1 Stochastic Analysis and Applications ...and 39 more Serials
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#### Cited in 49 Fields

 441 Statistical mechanics, structure of matter (82-XX) 431 Probability theory and stochastic processes (60-XX) 69 Dynamical systems and ergodic theory (37-XX) 67 Combinatorics (05-XX) 50 Statistics (62-XX) 35 Quantum theory (81-XX) 33 Computer science (68-XX) 30 Biology and other natural sciences (92-XX) 25 Measure and integration (28-XX) 17 Functional analysis (46-XX) 12 Global analysis, analysis on manifolds (58-XX) 12 Numerical analysis (65-XX) 10 Operator theory (47-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Partial differential equations (35-XX) 7 Difference and functional equations (39-XX) 6 Potential theory (31-XX) 5 Fluid mechanics (76-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Nonassociative rings and algebras (17-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX)

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