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Mathematical statistical physics [[electronic resource] ] : École d'Été de Physique des Houches : Session LXXXII : 4-29 July, 2005 : ESF Summer School : École thematique du CNRS / / edited by Anton Bovier ... [et al.]
| Mathematical statistical physics [[electronic resource] ] : École d'Été de Physique des Houches : Session LXXXII : 4-29 July, 2005 : ESF Summer School : École thematique du CNRS / / edited by Anton Bovier ... [et al.] |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier, c2006 |
| Descrizione fisica | 1 online resource (849 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | BovierAnton <1957-> |
| Collana | Les Houches |
| Soggetto topico |
Mathematical physics
Statistical mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-05239-6
9786611052393 0-08-047923-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front cover; Lecturers who contributed to this volume; Title page; Copyright page; Previous sessions; Organizers; Lecturers; Participants; Preface; Informal seminars; Table of contents; Course 1 Random matrices and determinantal processes; Introduction; Point processes; General theory; Determinantal processes; Measures defined by products of several determinants; Non-intersecting paths and the Aztec diamond; Non-intersecting paths and the LGV theorem; The Aztec diamond; Relations to other models; Asymptotics; Double contour integral formula for the correlation kernel
Asymptotics for the Aztec diamondAsymptotics for random permutations; The corner growth model; Mapping to non-intersecting paths; The Schur and Plancherel measures; A discrete polynuclear growth model; Proof of theorem 5.1; References; Course 2 Some recent aspects of random conformally invariant systems; Some discrete models; Self-avoiding walks and polygons; Random walk loops; Site-percolation; The Ising model; The Potts models; FK representations of Potts models; The O(N) models; Conformal invariance; A ""conformal Haar measure"" on self-avoiding loops; Preliminaries A conformal invariance propertyUniqueness; Existence; Schramm-Loewner Evolutions; Definition; Computing with SLE; Conformal loop-ensembles; Definition; First properties; The loop-soup construction; The Gaussian free field; Definition; ""Cliffs"" as level lines; References; Course 3 Conformal random geometry; Preamble; Introduction; A brief conformal history; Conformal geometrical structures; Quantum gravity; Stochastic Löwner evolution; Recent developments; Synopsis; Intersections of random walks; Non-intersection probabilities; Quantum gravity; Random walks on a random lattice Non-intersections of packets of walksMixing random & self-avoiding walks; General star configurations; Quantum gravity for SAW's & RW's; RW-SAW exponents; Brownian hiding exponents; Percolation clusters; Cluster hull and external perimeter; Harmonic measure of percolation frontiers; Harmonic and path crossing exponents; Quantum gravity for percolation; Multifractality of percolation clusters; Conformally invariant frontiers and quantum gravity; Harmonic measure and potential near a fractal frontier; Calculation of multifractal exponents from quantum gravity Geometrical analysis of multifractal spectraHigher multifractal spectra; Double-sided spectra; Higher multifractality of multiple path vertices; Winding of conformally invariant curves; Harmonic measure and rotations; Exact mixed multifractal spectra; Conformal invariance and quantum gravity; Rotation scaling exponents; Legendre transform; O(N) & Potts models and the Stochastic Löwner Evolution; Geometric duality in O(N) and Potts cluster frontiers; Geometric duality of SLEkappa; Quantum gravity duality and SLE; Dual dimensions; KPZ for SLE; Short distance expansion Multiple paths in O(N), Potts models and SLE |
| Record Nr. | UNINA-9910456968303321 |
| Amsterdam ; ; London, : Elsevier, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical statistical physics [[electronic resource] ] : École d'Été de Physique des Houches : Session LXXXII : 4-29 July, 2005 : ESF Summer School : École thematique du CNRS / / edited by Anton Bovier ... [et al.]
| Mathematical statistical physics [[electronic resource] ] : École d'Été de Physique des Houches : Session LXXXII : 4-29 July, 2005 : ESF Summer School : École thematique du CNRS / / edited by Anton Bovier ... [et al.] |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier, c2006 |
| Descrizione fisica | 1 online resource (849 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | BovierAnton <1957-> |
| Collana | Les Houches |
| Soggetto topico |
Mathematical physics
Statistical mechanics |
| ISBN |
1-281-05239-6
9786611052393 0-08-047923-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front cover; Lecturers who contributed to this volume; Title page; Copyright page; Previous sessions; Organizers; Lecturers; Participants; Preface; Informal seminars; Table of contents; Course 1 Random matrices and determinantal processes; Introduction; Point processes; General theory; Determinantal processes; Measures defined by products of several determinants; Non-intersecting paths and the Aztec diamond; Non-intersecting paths and the LGV theorem; The Aztec diamond; Relations to other models; Asymptotics; Double contour integral formula for the correlation kernel
Asymptotics for the Aztec diamondAsymptotics for random permutations; The corner growth model; Mapping to non-intersecting paths; The Schur and Plancherel measures; A discrete polynuclear growth model; Proof of theorem 5.1; References; Course 2 Some recent aspects of random conformally invariant systems; Some discrete models; Self-avoiding walks and polygons; Random walk loops; Site-percolation; The Ising model; The Potts models; FK representations of Potts models; The O(N) models; Conformal invariance; A ""conformal Haar measure"" on self-avoiding loops; Preliminaries A conformal invariance propertyUniqueness; Existence; Schramm-Loewner Evolutions; Definition; Computing with SLE; Conformal loop-ensembles; Definition; First properties; The loop-soup construction; The Gaussian free field; Definition; ""Cliffs"" as level lines; References; Course 3 Conformal random geometry; Preamble; Introduction; A brief conformal history; Conformal geometrical structures; Quantum gravity; Stochastic Löwner evolution; Recent developments; Synopsis; Intersections of random walks; Non-intersection probabilities; Quantum gravity; Random walks on a random lattice Non-intersections of packets of walksMixing random & self-avoiding walks; General star configurations; Quantum gravity for SAW's & RW's; RW-SAW exponents; Brownian hiding exponents; Percolation clusters; Cluster hull and external perimeter; Harmonic measure of percolation frontiers; Harmonic and path crossing exponents; Quantum gravity for percolation; Multifractality of percolation clusters; Conformally invariant frontiers and quantum gravity; Harmonic measure and potential near a fractal frontier; Calculation of multifractal exponents from quantum gravity Geometrical analysis of multifractal spectraHigher multifractal spectra; Double-sided spectra; Higher multifractality of multiple path vertices; Winding of conformally invariant curves; Harmonic measure and rotations; Exact mixed multifractal spectra; Conformal invariance and quantum gravity; Rotation scaling exponents; Legendre transform; O(N) & Potts models and the Stochastic Löwner Evolution; Geometric duality in O(N) and Potts cluster frontiers; Geometric duality of SLEkappa; Quantum gravity duality and SLE; Dual dimensions; KPZ for SLE; Short distance expansion Multiple paths in O(N), Potts models and SLE |
| Record Nr. | UNINA-9910784591303321 |
| Amsterdam ; ; London, : Elsevier, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical statistical physics : Ecole d'Ete de Physique des Houches : Session LXXXII : 4-29 July, 2005 : ESF Summer School : Ecole thematique du CNRS / / edited by Anton Bovier ... [et al.]
| Mathematical statistical physics : Ecole d'Ete de Physique des Houches : Session LXXXII : 4-29 July, 2005 : ESF Summer School : Ecole thematique du CNRS / / edited by Anton Bovier ... [et al.] |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam ; ; London, : Elsevier, c2006 |
| Descrizione fisica | 1 online resource (849 p.) |
| Disciplina | 530.15 |
| Altri autori (Persone) | BovierAnton <1957-> |
| Collana | Les Houches |
| Soggetto topico |
Mathematical physics
Statistical mechanics |
| ISBN |
1-281-05239-6
9786611052393 0-08-047923-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front cover; Lecturers who contributed to this volume; Title page; Copyright page; Previous sessions; Organizers; Lecturers; Participants; Preface; Informal seminars; Table of contents; Course 1 Random matrices and determinantal processes; Introduction; Point processes; General theory; Determinantal processes; Measures defined by products of several determinants; Non-intersecting paths and the Aztec diamond; Non-intersecting paths and the LGV theorem; The Aztec diamond; Relations to other models; Asymptotics; Double contour integral formula for the correlation kernel
Asymptotics for the Aztec diamondAsymptotics for random permutations; The corner growth model; Mapping to non-intersecting paths; The Schur and Plancherel measures; A discrete polynuclear growth model; Proof of theorem 5.1; References; Course 2 Some recent aspects of random conformally invariant systems; Some discrete models; Self-avoiding walks and polygons; Random walk loops; Site-percolation; The Ising model; The Potts models; FK representations of Potts models; The O(N) models; Conformal invariance; A ""conformal Haar measure"" on self-avoiding loops; Preliminaries A conformal invariance propertyUniqueness; Existence; Schramm-Loewner Evolutions; Definition; Computing with SLE; Conformal loop-ensembles; Definition; First properties; The loop-soup construction; The Gaussian free field; Definition; ""Cliffs"" as level lines; References; Course 3 Conformal random geometry; Preamble; Introduction; A brief conformal history; Conformal geometrical structures; Quantum gravity; Stochastic Löwner evolution; Recent developments; Synopsis; Intersections of random walks; Non-intersection probabilities; Quantum gravity; Random walks on a random lattice Non-intersections of packets of walksMixing random & self-avoiding walks; General star configurations; Quantum gravity for SAW's & RW's; RW-SAW exponents; Brownian hiding exponents; Percolation clusters; Cluster hull and external perimeter; Harmonic measure of percolation frontiers; Harmonic and path crossing exponents; Quantum gravity for percolation; Multifractality of percolation clusters; Conformally invariant frontiers and quantum gravity; Harmonic measure and potential near a fractal frontier; Calculation of multifractal exponents from quantum gravity Geometrical analysis of multifractal spectraHigher multifractal spectra; Double-sided spectra; Higher multifractality of multiple path vertices; Winding of conformally invariant curves; Harmonic measure and rotations; Exact mixed multifractal spectra; Conformal invariance and quantum gravity; Rotation scaling exponents; Legendre transform; O(N) & Potts models and the Stochastic Löwner Evolution; Geometric duality in O(N) and Potts cluster frontiers; Geometric duality of SLEkappa; Quantum gravity duality and SLE; Dual dimensions; KPZ for SLE; Short distance expansion Multiple paths in O(N), Potts models and SLE |
| Altri titoli varianti | Houches 2005 session LXXXII |
| Record Nr. | UNINA-9910811339503321 |
| Amsterdam ; ; London, : Elsevier, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spin glasses / / Erwin Bolthausen, Anton Bovier (editors)
| Spin glasses / / Erwin Bolthausen, Anton Bovier (editors) |
| Edizione | [1st ed. 2007.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer, , [2007] |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina | 530.412 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Spin glasses |
| ISBN |
1-280-74535-5
9786610745357 3-540-40908-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Random Media and Spin Glasses: An Introduction into Some Mathematical Results and Problems -- Spin Glasses: A Perspective -- Mean Field Models for Spin Glasses: Some Obnoxious Problems -- Much Ado about Derrida's GREM -- Dynamics for Spherical Models of Spin-Glass and Aging -- Local vs. Global Variables for Spin Glasses -- Short-Range Spin Glasses: Results and Speculations. |
| Record Nr. | UNINA-9910484466303321 |
| Berlin, Heidelberg : , : Springer, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spin glasses / / Erwin Bolthausen, Anton Bovier (editors)
| Spin glasses / / Erwin Bolthausen, Anton Bovier (editors) |
| Edizione | [1st ed. 2007.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer, , [2007] |
| Descrizione fisica | 1 online resource (189 p.) |
| Disciplina | 530.412 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Spin glasses |
| ISBN |
1-280-74535-5
9786610745357 3-540-40908-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Random Media and Spin Glasses: An Introduction into Some Mathematical Results and Problems -- Spin Glasses: A Perspective -- Mean Field Models for Spin Glasses: Some Obnoxious Problems -- Much Ado about Derrida's GREM -- Dynamics for Spherical Models of Spin-Glass and Aging -- Local vs. Global Variables for Spin Glasses -- Short-Range Spin Glasses: Results and Speculations. |
| Record Nr. | UNISA-996466657003316 |
| Berlin, Heidelberg : , : Springer, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||