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Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation
| Brownian Regularity for the Airy Line Ensemble, and Multi-Polymer Watermelons in Brownian Last Passage Percolation |
| Autore | Hammond Alan |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (146 pages) |
| Disciplina | 530.13 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Brownian motion processes
Gibbs' equation Airy functions Set theory Percolation (Statistical physics) Geodesics (Mathematics) Stochastic partial differential equations Statistical mechanics, structure of matter -- Time-dependent statistical mechanics (dynamic and nonequilibrium) -- Interacting particle systems Statistical mechanics, structure of matter -- Equilibrium statistical mechanics -- Exactly solvable models; Bethe ansatz Probability theory and stochastic processes -- Stochastic analysis -- Stochastic partial differential equations |
| ISBN |
9781470470951
1470470950 |
| Classificazione | 82C2282B2360H15 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- 1.1. Kardar-Parisi-Zhang universality -- 1.2. A conceptual overview of the scaled Brownian last passage percolation study -- 1.3. Non-intersecting line ensembles and their integrable and probabilistic analysis -- 1.4. The article's main results -- Chapter 2. Brownian Gibbs ensembles: Definition and statements -- 2.1. Preliminaries: Bridge ensembles and the Brownian Gibbs property -- 2.2. Statements of principal results concerning regular ensembles -- 2.3. Some generalities: Notation and basic properties of Brownian Gibbs ensembles -- Chapter 3. Missing closed middle reconstruction and the Wiener candidate -- 3.1. Close encounter between finitely many non-intersecting Brownian bridges -- 3.2. The reconstruction of the missing closed middle -- 3.3. Applications of the Wiener candidate approach -- Chapter 4. The jump ensemble method: Foundations -- 4.1. The jump ensemble method -- 4.2. General tools for the jump ensemble method -- Chapter 5. The jump ensemble method: Applications -- 5.1. Upper bound on the probability of curve closeness over a given point -- 5.2. Closeness of curves at a general location -- 5.3. Brownian bridge regularity of regular ensembles -- Appendix A. Properties of regular Brownian Gibbs ensembles -- A.1. Scaled Brownian LPP line ensembles are regular -- A.2. The lower tail of the lower curves -- A.3. Regular ensemble curves collapse near infinity -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910966329903321 |
Hammond Alan
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry / / Volker Mayer, Bartlomiej Skorulski, Mariusz Urbanski
| Distance expanding random mappings, thermodynamical formalism, Gibbs measures and fractal geometry / / Volker Mayer, Bartlomiej Skorulski, Mariusz Urbanski |
| Autore | Mayer Volker |
| Edizione | [1st ed. 2011.] |
| Pubbl/distr/stampa | Berlin, : Springer, 2011 |
| Descrizione fisica | 1 online resource (X, 112 p. 3 illus. in color.) |
| Disciplina |
515.39
515.48 |
| Altri autori (Persone) |
SkorulskiBartlomiej
UrbanskiMariusz |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Functions, Meromorphic
Gibbs' equation Fractals Expanding universe |
| ISBN |
9783642236501
3642236502 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Introduction -- 2 Expanding Random Maps -- 3 The RPF–theorem -- 4 Measurability, Pressure and Gibbs Condition -- 5 Fractal Structure of Conformal Expanding Random Repellers -- 6 Multifractal Analysis -- 7 Expanding in the Mean -- 8 Classical Expanding Random Systems -- 9 Real Analyticity of Pressure. |
| Record Nr. | UNINA-9910130745103321 |
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Mayer Volker
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| Berlin, : Springer, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Gibbs' equation
(2)
- Airy functions (1)
- Brownian motion processes (1)
- Expanding universe (1)
- Fractals (1)