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Gibbs measures on Cayley trees / / Utkir A. Rozikov, Institute of Mathematics, Uzbekistan
Gibbs measures on Cayley trees / / Utkir A. Rozikov, Institute of Mathematics, Uzbekistan
Autore Rozikov Utkir A. <1970->
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Descrizione fisica 1 online resource (xviii, 385 pages) : illustrations
Disciplina 519.2
Collana Gale eBooks
Soggetto topico Probability measures
Distribution (Probability theory)
ISBN 981-4513-38-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Group representation of the Cayley tree; 1.1 Cayley tree; 1.2 A group representation of the Cayley tree; 1.3 Normal subgroups of finite index for the group representation of the Cayley tree; 1.3.1 Subgroups of infinite index; 1.4 Partition structures of the Cayley tree; 1.5 Density of edges in a ball; 2. Ising model on the Cayley tree; 2.1 Gibbs measure; 2.1.1 Configuration space; 2.1.2 Hamiltonian; 2.1.3 The ground state; 2.1.4 Gibbs measure; 2.2 A functional equation for the Ising model; 2.2.1 Hamiltonian of the Ising model; 2.2.2 Finite dimensional distributions
2.3 Periodic Gibbs measures of the Ising model2.3.1 Translation-invariant measures of the Ising model; 2.3.1.1 Ferromagnetic case; 2.3.1.2 Anti-ferromagnetic case; 2.3.2 Periodic (non-translation-invariant) measures; 2.4 Weakly periodic Gibbs measures; 2.4.1 The case of index two; 2.4.2 The case of index four; 2.5 Extremality of the disordered Gibbs measure; 2.6 Uncountable sets of non-periodic Gibbs measures; 2.6.1 Bleher-Ganikhodjaev construction; 2.6.2 Zachary construction; 2.7 New Gibbs measures; 2.8 Free energies; 2.9 Ising model with an external field
3. Ising type models with competing interactions3.1 Vannimenus model; 3.1.1 Definitions and equations; 3.1.2 Dynamics of F; 3.1.2.1 Fixed points; 3.1.3 Periodic points; 3.1.4 Exact values; 3.1.5 Remarks; 3.2 A model with four competing interactions; 3.2.1 The model; 3.2.2 The functional equation; 3.2.3 Translation-invariant Gibbs measures: phase transition; 3.2.4 Periodic Gibbs measures; 3.2.5 Non-periodic Gibbs measures; 4. Information ow on trees; 4.1 Definitions and their equivalency; 4.1.1 Equivalent definitions; 4.2 Symmetric binary channels: the Ising model
4.2.1 Reconstruction algorithms4.2.2 Census solvability; 4.3 q-ary symmetric channels: the Potts model; 5. The Potts model; 5.1 The Hamiltonian and vector-valued functional equation; 5.2 Translation-invariant Gibbs measures; 5.2.1 Anti-ferromagnetic case; 5.2.2 Ferromagnetic case; 5.2.2.1 Case: k = 2, q = 3; 5.2.2.2 The general case: k 2, q 2; 5.3 Extremality of the disordered Gibbs measure: The reconstruction solvability; 5.4 A construction of an uncountable set of Gibbs measures; 6. The Solid-on-Solid model; 6.1 The model and a system of vector-valued functional equations
6.2 Three-state SOS model6.2.1 The critical value 1cr; 6.2.2 Periodic SGMs; 6.2.3 Non-periodic SGMs; 6.3 Four-state SOS model; 6.3.1 Translation-invariant measures; 6.3.2 Construction of periodic SGMs; 6.3.3 Uncountable set non-periodic SGMs; 7. Models with hard constraints; 7.1 Definitions; 7.1.1 Gibbs measures; 7.2 Two-state hard core model; 7.2.1 Construction of splitting (simple) Gibbs measures; 7.2.2 Uniqueness of a translation-invariant splitting Gibbs measure; 7.2.3 Periodic hard core splitting Gibbs measures; 7.2.4 Extremality of the translation-invariant splitting Gibbs measure
7.2.5 Weakly periodic Gibbs measures
Record Nr. UNINA-9910787695503321
Rozikov Utkir A. <1970->  
Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Gibbs measures on Cayley trees / / Utkir A. Rozikov, Institute of Mathematics, Uzbekistan
Gibbs measures on Cayley trees / / Utkir A. Rozikov, Institute of Mathematics, Uzbekistan
Autore Rozikov Utkir A. <1970->
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Descrizione fisica 1 online resource (xviii, 385 pages) : illustrations
Disciplina 519.2
Collana Gale eBooks
Soggetto topico Probability measures
Distribution (Probability theory)
ISBN 981-4513-38-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1. Group representation of the Cayley tree; 1.1 Cayley tree; 1.2 A group representation of the Cayley tree; 1.3 Normal subgroups of finite index for the group representation of the Cayley tree; 1.3.1 Subgroups of infinite index; 1.4 Partition structures of the Cayley tree; 1.5 Density of edges in a ball; 2. Ising model on the Cayley tree; 2.1 Gibbs measure; 2.1.1 Configuration space; 2.1.2 Hamiltonian; 2.1.3 The ground state; 2.1.4 Gibbs measure; 2.2 A functional equation for the Ising model; 2.2.1 Hamiltonian of the Ising model; 2.2.2 Finite dimensional distributions
2.3 Periodic Gibbs measures of the Ising model2.3.1 Translation-invariant measures of the Ising model; 2.3.1.1 Ferromagnetic case; 2.3.1.2 Anti-ferromagnetic case; 2.3.2 Periodic (non-translation-invariant) measures; 2.4 Weakly periodic Gibbs measures; 2.4.1 The case of index two; 2.4.2 The case of index four; 2.5 Extremality of the disordered Gibbs measure; 2.6 Uncountable sets of non-periodic Gibbs measures; 2.6.1 Bleher-Ganikhodjaev construction; 2.6.2 Zachary construction; 2.7 New Gibbs measures; 2.8 Free energies; 2.9 Ising model with an external field
3. Ising type models with competing interactions3.1 Vannimenus model; 3.1.1 Definitions and equations; 3.1.2 Dynamics of F; 3.1.2.1 Fixed points; 3.1.3 Periodic points; 3.1.4 Exact values; 3.1.5 Remarks; 3.2 A model with four competing interactions; 3.2.1 The model; 3.2.2 The functional equation; 3.2.3 Translation-invariant Gibbs measures: phase transition; 3.2.4 Periodic Gibbs measures; 3.2.5 Non-periodic Gibbs measures; 4. Information ow on trees; 4.1 Definitions and their equivalency; 4.1.1 Equivalent definitions; 4.2 Symmetric binary channels: the Ising model
4.2.1 Reconstruction algorithms4.2.2 Census solvability; 4.3 q-ary symmetric channels: the Potts model; 5. The Potts model; 5.1 The Hamiltonian and vector-valued functional equation; 5.2 Translation-invariant Gibbs measures; 5.2.1 Anti-ferromagnetic case; 5.2.2 Ferromagnetic case; 5.2.2.1 Case: k = 2, q = 3; 5.2.2.2 The general case: k 2, q 2; 5.3 Extremality of the disordered Gibbs measure: The reconstruction solvability; 5.4 A construction of an uncountable set of Gibbs measures; 6. The Solid-on-Solid model; 6.1 The model and a system of vector-valued functional equations
6.2 Three-state SOS model6.2.1 The critical value 1cr; 6.2.2 Periodic SGMs; 6.2.3 Non-periodic SGMs; 6.3 Four-state SOS model; 6.3.1 Translation-invariant measures; 6.3.2 Construction of periodic SGMs; 6.3.3 Uncountable set non-periodic SGMs; 7. Models with hard constraints; 7.1 Definitions; 7.1.1 Gibbs measures; 7.2 Two-state hard core model; 7.2.1 Construction of splitting (simple) Gibbs measures; 7.2.2 Uniqueness of a translation-invariant splitting Gibbs measure; 7.2.3 Periodic hard core splitting Gibbs measures; 7.2.4 Extremality of the translation-invariant splitting Gibbs measure
7.2.5 Weakly periodic Gibbs measures
Record Nr. UNINA-9910812965003321
Rozikov Utkir A. <1970->  
Singapore ; ; Hackensack, N.J., : World Scientific, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Harmonic analysis of probability measures on hypergroups / Walter R. Bloom, Herbert Heyer
Harmonic analysis of probability measures on hypergroups / Walter R. Bloom, Herbert Heyer
Autore Bloom, Walter R.
Pubbl/distr/stampa Berlin ; New York : Walter de Gruyter, 1995
Descrizione fisica vi, 601 p. ; 25 cm
Disciplina 512.55
Altri autori (Persone) Heyer, Herbertauthor
Collana De Gruyter studies in mathematics ; 20
Soggetto topico Hypergroups
Harmonic analysis
Probability measures
ISBN 3110121050
Classificazione AMS 43-02
LC QA174.2.B58
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000648639707536
Bloom, Walter R.  
Berlin ; New York : Walter de Gruyter, 1995
Materiale a stampa
Lo trovi qui: Univ. del Salento
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L’historien et le probabilisme / / Thuillier Guy
L’historien et le probabilisme / / Thuillier Guy
Autore Thuillier Guy
Pubbl/distr/stampa Vincennes, : Institut de la gestion publique et du développement économique, 2020
Descrizione fisica 1 online resource (322 p.)
Altri autori (Persone) MonnierFrançois
Collana Histoire économique et financière - XIXe-XXe
Soggetto topico History - Philosophy
Historiography
Probability measures
Soggetto non controllato historien
probabilisme
obsolescence
archive
érudition
histoire monétaire
science administrative
ISBN 2-11-129460-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione fre
Record Nr. UNINA-9910495711003321
Thuillier Guy  
Vincennes, : Institut de la gestion publique et du développement économique, 2020
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Information, weight of evidence, the singularity between probability measures and signal detection / / I. J. Good and D. B. Osteyee
Information, weight of evidence, the singularity between probability measures and signal detection / / I. J. Good and D. B. Osteyee
Autore Osteyee David Bridston
Edizione [1st ed. 1974.]
Pubbl/distr/stampa Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1974]
Descrizione fisica 1 online resource (XIV, 162 p.)
Disciplina 510.8
Collana Lecture Notes in Mathematics
Soggetto topico Probability measures
Measure theory
Gaussian processes
ISBN 3-540-38294-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto List of symbols -- Information in events and weight of evidence -- Entropy -- Singularity between two probability measures -- Expected mutual information -- Expected weight of evidence -- Divergence -- Expected mutual information, expected weight of evidence, and divergence for random processes -- Relationships between certain random processes and the singularity between probability measures -- Other expressions for expected mutual information -- Expressing expected weight of evidence for gaussian generalized processes in terms of integral operators -- Comparison between I(RT:ST), WT(HN/HS+N), and JT(N, S+N) for gaussian signals and noise -- Expected mutual information rate -- Rate of expected weight of evidence -- Gaussian processes with equal covariance functions including nonrandom signals in gaussian noise -- Summary of the major results in this survey for gaussian processes, including gaussian signals and noise -- Conclusions and areas for additional research.
Record Nr. UNISA-996466530403316
Osteyee David Bridston  
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1974]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Information, weight of evidence, the singularity between probability measures and signal detection / David Bridston Osteyee, Irving John Good
Information, weight of evidence, the singularity between probability measures and signal detection / David Bridston Osteyee, Irving John Good
Autore Osteyee, David Bridston
Pubbl/distr/stampa Berlin : Springer-Verlag, 1974
Descrizione fisica xi, 156 p. ; 24 cm
Disciplina 519.23
Altri autori (Persone) Good, Irving Johnauthor
Collana Lecture notes in mathematics, 0075-8434 ; 376
Soggetto topico Gaussian processes
Measure theory
Probability measures
Signal detection
Statistical communication theory
ISBN 3540067264
Classificazione AMS 60G35
AMS 94A15
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000997069707536
Osteyee, David Bridston  
Berlin : Springer-Verlag, 1974
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Integral, probability, and fractal measures / Gerald A. Edgar
Integral, probability, and fractal measures / Gerald A. Edgar
Autore Edgar, Gerald A.
Pubbl/distr/stampa New York : Springer-Verlag, c1998
Descrizione fisica x, 286 p. : ill. ; 25 cm.
Disciplina 515.42
Soggetto topico Fractals
Measure theory
Probability measures
ISBN 0387982051
Classificazione AMS 28A80
QA614.86.E335
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001002329707536
Edgar, Gerald A.  
New York : Springer-Verlag, c1998
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Introduzione alla Statistica Computazionale con R / / Bruno Bertaccini
Introduzione alla Statistica Computazionale con R / / Bruno Bertaccini
Autore Bertaccini Bruno
Pubbl/distr/stampa Florence : , : Firenze University Press, , 2018
Descrizione fisica 1 online resource (182 pages)
Disciplina 519.2
Collana Strumenti per la didattica e la ricerca
Soggetto topico Probability measures
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ita
Record Nr. UNINA-9910571756903321
Bertaccini Bruno  
Florence : , : Firenze University Press, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduzione alla Statistica Computazionale con R. / / Bruno Bertaccini
Introduzione alla Statistica Computazionale con R. / / Bruno Bertaccini
Autore Bertaccini Bruno
Pubbl/distr/stampa Firenze, Italy : , : Firenze University Press, , 2018
Descrizione fisica 1 online resource (viii, 172 pages)
Disciplina 510
Collana Strumenti per la didattica e la ricerca
Soggetto topico Statistics
Probability measures
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ita
Record Nr. UNINA-9910774838003321
Bertaccini Bruno  
Firenze, Italy : , : Firenze University Press, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Lectures on the coupling method / Torgny Lindvall
Lectures on the coupling method / Torgny Lindvall
Autore Lindvall, Torgny
Pubbl/distr/stampa Mineola, N. Y. : Dover Publ., 2002
Descrizione fisica xii, 257 p. : ill. ; 22 cm
Disciplina 519.24
Soggetto topico Probability measures
ISBN 0486421457
Classificazione AMS 60K35
LC QA273.6.L54
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003189659707536
Lindvall, Torgny  
Mineola, N. Y. : Dover Publ., 2002
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui