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Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher
| Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher |
| Autore | Speicher Roland <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Operator-valued functions
Selfadjoint operators Free products (Group theory) Combinatorial analysis Free probability theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0216-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Preliminaries on non-crossing partitions""; ""1.1. Non-crossing partitions""; ""1.2. Incidence algebra and convolution""; ""1.3. Multiplicative functions""; ""Chapter II. Operator-valued multiplicative functions on the lattice of non-crossing partitions""; ""2.1. Operator-valued multiplicative functions""; ""2.2. Connection between f and f â??C""; ""2.3. Special case I = I(C,C)""; ""2.4. Tracial multiplicative functions""; ""2.5. Product and cluster property""; ""Chapter III. Amalgamated free products""; ""3.1. Basic notations""
""3.2. Moment and cumulant functions""""3.3. Definition of the amalgamated free product""; ""3.4. Explicit formula for α[sub(1)] â??α[sub(2)]""; ""3.5. Positivity of the amalgamated free product""; ""Chapter IV. Operator-valued free probability theory""; ""4.1. B-valued random variables and free convolution""; ""4.2. B-Gaussian distributions and central limit theorem""; ""4.3. Positivity of B-Gaussian distributions""; ""4.4. Compound B-Poisson distributions""; ""4.5. Infinitely divisible distributions""; ""4.6. Full Fock space over a Hilbert-B-bimodule"" ""4.7. Realization of infinitely divisible distributions on a full Fock space""""Chapter V. Operator-valued stochastic processes and stochastic differential equations""; ""5.1. B-valued stochastic processes""; ""5.2. Formulation of the problem""; ""5.3. Possible solutions of the problem""; ""5.4. Gaussian approximation""; ""Bibliography"" |
| Record Nr. | UNINA-9910481047503321 |
Speicher Roland <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher
| Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher |
| Autore | Speicher Roland <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Operator-valued functions
Selfadjoint operators Free products (Group theory) Combinatorial analysis Free probability theory |
| ISBN | 1-4704-0216-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Preliminaries on non-crossing partitions""; ""1.1. Non-crossing partitions""; ""1.2. Incidence algebra and convolution""; ""1.3. Multiplicative functions""; ""Chapter II. Operator-valued multiplicative functions on the lattice of non-crossing partitions""; ""2.1. Operator-valued multiplicative functions""; ""2.2. Connection between f and f â??C""; ""2.3. Special case I = I(C,C)""; ""2.4. Tracial multiplicative functions""; ""2.5. Product and cluster property""; ""Chapter III. Amalgamated free products""; ""3.1. Basic notations""
""3.2. Moment and cumulant functions""""3.3. Definition of the amalgamated free product""; ""3.4. Explicit formula for α[sub(1)] â??α[sub(2)]""; ""3.5. Positivity of the amalgamated free product""; ""Chapter IV. Operator-valued free probability theory""; ""4.1. B-valued random variables and free convolution""; ""4.2. B-Gaussian distributions and central limit theorem""; ""4.3. Positivity of B-Gaussian distributions""; ""4.4. Compound B-Poisson distributions""; ""4.5. Infinitely divisible distributions""; ""4.6. Full Fock space over a Hilbert-B-bimodule"" ""4.7. Realization of infinitely divisible distributions on a full Fock space""""Chapter V. Operator-valued stochastic processes and stochastic differential equations""; ""5.1. B-valued stochastic processes""; ""5.2. Formulation of the problem""; ""5.3. Possible solutions of the problem""; ""5.4. Gaussian approximation""; ""Bibliography"" |
| Record Nr. | UNINA-9910788734003321 |
|
Speicher Roland <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher
| Combinatorial theory of the free product with amalgamation and operator-valued free probability theory / / Roland Speicher |
| Autore | Speicher Roland <1960-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1998] |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Operator-valued functions
Selfadjoint operators Free products (Group theory) Combinatorial analysis Free probability theory |
| ISBN | 1-4704-0216-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter I. Preliminaries on non-crossing partitions""; ""1.1. Non-crossing partitions""; ""1.2. Incidence algebra and convolution""; ""1.3. Multiplicative functions""; ""Chapter II. Operator-valued multiplicative functions on the lattice of non-crossing partitions""; ""2.1. Operator-valued multiplicative functions""; ""2.2. Connection between f and f â??C""; ""2.3. Special case I = I(C,C)""; ""2.4. Tracial multiplicative functions""; ""2.5. Product and cluster property""; ""Chapter III. Amalgamated free products""; ""3.1. Basic notations""
""3.2. Moment and cumulant functions""""3.3. Definition of the amalgamated free product""; ""3.4. Explicit formula for α[sub(1)] â??α[sub(2)]""; ""3.5. Positivity of the amalgamated free product""; ""Chapter IV. Operator-valued free probability theory""; ""4.1. B-valued random variables and free convolution""; ""4.2. B-Gaussian distributions and central limit theorem""; ""4.3. Positivity of B-Gaussian distributions""; ""4.4. Compound B-Poisson distributions""; ""4.5. Infinitely divisible distributions""; ""4.6. Full Fock space over a Hilbert-B-bimodule"" ""4.7. Realization of infinitely divisible distributions on a full Fock space""""Chapter V. Operator-valued stochastic processes and stochastic differential equations""; ""5.1. B-valued stochastic processes""; ""5.2. Formulation of the problem""; ""5.3. Possible solutions of the problem""; ""5.4. Gaussian approximation""; ""Bibliography"" |
| Record Nr. | UNINA-9910807390703321 |
|
Speicher Roland <1960->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1998] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Exponential genus problems in one-relator products of groups / / A. J. Duncan
| Exponential genus problems in one-relator products of groups / / A. J. Duncan |
| Autore | Duncan A. J (Andrew James), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (170 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Statistical decision Free products (Group theory) Equations, Quadratic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0477-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quadratic Words""; ""Chapter 3. Quadratic Exponential Equations and L-genus""; ""1. Quadratic Exponential Equations""; ""2. Quadratic Equations and Genus""; ""Chapter 4. Resolutions of Quadratic Equations""; ""Chapter 5. Decision Problems""; ""1. Decision Problems and Quadratic Exponential Equations""; ""2. Decision Problems in Free Products and One-Relator Products""; ""Chapter 6. Pictures""; ""1. Sketches and Pictures""; ""2. Boundary Intervals""; ""3. Bridge Moves and Vertex Cancellation""
""4. Parallel Arcs and the Graph of a Picture""""5. Routes and Distance""; ""6. Pictures and Equations""; ""Chapter 7. Corridors""; ""1. Square Pictures and Corridors""; ""2. Z-Cancellation""; ""3. Corridor-Sections""; ""4. Z-Insertion""; ""5. The Z-Graph""; ""Chapter 8. Angle assignment""; ""Chapter 9. Curvature""; ""Chapter 10. Configurations C""; ""Chapter 11. Configurations D""; ""Chapter 12. Final Angle Adjustment""; ""Chapter 13. Isoperimetry""; ""Chapter 14. Proof of Theorem 5.9""; ""Bibliography"" |
| Record Nr. | UNINA-9910480877403321 |
|
Duncan A. J (Andrew James), <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Exponential genus problems in one-relator products of groups / / A. J. Duncan
| Exponential genus problems in one-relator products of groups / / A. J. Duncan |
| Autore | Duncan A. J (Andrew James), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (170 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Statistical decision Free products (Group theory) Equations, Quadratic |
| ISBN | 1-4704-0477-X |
| Classificazione | 31.21 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quadratic Words""; ""Chapter 3. Quadratic Exponential Equations and L-genus""; ""1. Quadratic Exponential Equations""; ""2. Quadratic Equations and Genus""; ""Chapter 4. Resolutions of Quadratic Equations""; ""Chapter 5. Decision Problems""; ""1. Decision Problems and Quadratic Exponential Equations""; ""2. Decision Problems in Free Products and One-Relator Products""; ""Chapter 6. Pictures""; ""1. Sketches and Pictures""; ""2. Boundary Intervals""; ""3. Bridge Moves and Vertex Cancellation""
""4. Parallel Arcs and the Graph of a Picture""""5. Routes and Distance""; ""6. Pictures and Equations""; ""Chapter 7. Corridors""; ""1. Square Pictures and Corridors""; ""2. Z-Cancellation""; ""3. Corridor-Sections""; ""4. Z-Insertion""; ""5. The Z-Graph""; ""Chapter 8. Angle assignment""; ""Chapter 9. Curvature""; ""Chapter 10. Configurations C""; ""Chapter 11. Configurations D""; ""Chapter 12. Final Angle Adjustment""; ""Chapter 13. Isoperimetry""; ""Chapter 14. Proof of Theorem 5.9""; ""Bibliography"" |
| Record Nr. | UNINA-9910788744003321 |
|
Duncan A. J (Andrew James), <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Exponential genus problems in one-relator products of groups / / A. J. Duncan
| Exponential genus problems in one-relator products of groups / / A. J. Duncan |
| Autore | Duncan A. J (Andrew James), <1954-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (170 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
Statistical decision Free products (Group theory) Equations, Quadratic |
| ISBN | 1-4704-0477-X |
| Classificazione | 31.21 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quadratic Words""; ""Chapter 3. Quadratic Exponential Equations and L-genus""; ""1. Quadratic Exponential Equations""; ""2. Quadratic Equations and Genus""; ""Chapter 4. Resolutions of Quadratic Equations""; ""Chapter 5. Decision Problems""; ""1. Decision Problems and Quadratic Exponential Equations""; ""2. Decision Problems in Free Products and One-Relator Products""; ""Chapter 6. Pictures""; ""1. Sketches and Pictures""; ""2. Boundary Intervals""; ""3. Bridge Moves and Vertex Cancellation""
""4. Parallel Arcs and the Graph of a Picture""""5. Routes and Distance""; ""6. Pictures and Equations""; ""Chapter 7. Corridors""; ""1. Square Pictures and Corridors""; ""2. Z-Cancellation""; ""3. Corridor-Sections""; ""4. Z-Insertion""; ""5. The Z-Graph""; ""Chapter 8. Angle assignment""; ""Chapter 9. Curvature""; ""Chapter 10. Configurations C""; ""Chapter 11. Configurations D""; ""Chapter 12. Final Angle Adjustment""; ""Chapter 13. Isoperimetry""; ""Chapter 14. Proof of Theorem 5.9""; ""Bibliography"" |
| Record Nr. | UNINA-9910827663403321 |
|
Duncan A. J (Andrew James), <1954->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Free random variables : a noncommutative probability approach to free products with applications to random matrices, operator algebras, and harmonic analysis on free groups / D. V. Voiculescu, K. J. Dykema, A. Nica
| Free random variables : a noncommutative probability approach to free products with applications to random matrices, operator algebras, and harmonic analysis on free groups / D. V. Voiculescu, K. J. Dykema, A. Nica |
| Autore | Nica, A. |
| Pubbl/distr/stampa | Providence, R. I., USA : American Mathematical Society, c1992 |
| Descrizione fisica | v, 70 p. : ill. ; 26 cm. |
| Disciplina | 512.55 |
| Altri autori (Persone) | Voiculescu, Dan Virgilauthor |
| Collana | CRM monograph series, ISSN 10658599 ; 1 |
| Soggetto topico |
Free products (Group theory)
Operator algebras Selfadjoint operators |
| ISBN | 082186999X |
| Classificazione |
AMS 46L10
AMS 46L35 AMS 46L50 AMS 47B80 AMS 60H25 QA326.V65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000912929707536 |
|
Nica, A.
|
||
| Providence, R. I., USA : American Mathematical Society, c1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Semistability of amalgamated products and HNN-extensions / / Michael L. Mihalik, Steven T. Tschantz
| Semistability of amalgamated products and HNN-extensions / / Michael L. Mihalik, Steven T. Tschantz |
| Autore | Mihalik Michael L. <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
HNN-extensions Free products (Group theory) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0897-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Â1. Introduction""; ""Â2. Geometric preliminaries""; ""Â3. Outline of the proof""; ""Â4. Dunwoody tracks and relative accessibility""; ""Â5. Basic lemmas""; ""Â6. Technical lemmas""; ""Â7. Proof of the half-space lemma""; ""Â8. Proof of theorem 3.3""; ""Â9. Conclusion""; ""References"" |
| Record Nr. | UNINA-9910479906703321 |
|
Mihalik Michael L. <1951->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semistability of amalgamated products and HNN-extensions / / Michael L. Mihalik, Steven T. Tschantz
| Semistability of amalgamated products and HNN-extensions / / Michael L. Mihalik, Steven T. Tschantz |
| Autore | Mihalik Michael L. <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
HNN-extensions Free products (Group theory) |
| ISBN | 1-4704-0897-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Â1. Introduction""; ""Â2. Geometric preliminaries""; ""Â3. Outline of the proof""; ""Â4. Dunwoody tracks and relative accessibility""; ""Â5. Basic lemmas""; ""Â6. Technical lemmas""; ""Â7. Proof of the half-space lemma""; ""Â8. Proof of theorem 3.3""; ""Â9. Conclusion""; ""References"" |
| Record Nr. | UNINA-9910788877903321 |
|
Mihalik Michael L. <1951->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semistability of amalgamated products and HNN-extensions / / Michael L. Mihalik, Steven T. Tschantz
| Semistability of amalgamated products and HNN-extensions / / Michael L. Mihalik, Steven T. Tschantz |
| Autore | Mihalik Michael L. <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 512/.2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric group theory
HNN-extensions Free products (Group theory) |
| ISBN | 1-4704-0897-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Table of Contents""; ""Â1. Introduction""; ""Â2. Geometric preliminaries""; ""Â3. Outline of the proof""; ""Â4. Dunwoody tracks and relative accessibility""; ""Â5. Basic lemmas""; ""Â6. Technical lemmas""; ""Â7. Proof of the half-space lemma""; ""Â8. Proof of theorem 3.3""; ""Â9. Conclusion""; ""References"" |
| Record Nr. | UNINA-9910817225403321 |
|
Mihalik Michael L. <1951->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
