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An introduction to the geometry of stochastic flows [[electronic resource] /] / Fabrice Baudoin
| An introduction to the geometry of stochastic flows [[electronic resource] /] / Fabrice Baudoin |
| Autore | Baudoin Fabrice |
| Pubbl/distr/stampa | London, : Imperial College Press, c2004 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina |
519.2
519.23 |
| Soggetto topico |
Stochastic geometry
Flows (Differentiable dynamical systems) Stochastic differential equations |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-86681-4
9786611866815 1-86094-726-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Formal Stochastic Differential Equations; Chapter 2 Stochastic Differential Equations and Carnot Groups; Chapter 3 Hypoelliptic Flows; Appendix A Basic Stochastic Calculus; Appendix B Vector Fields, Lie Groups and Lie Algebras; Bibliography; Index |
| Record Nr. | UNINA-9910451084303321 |
Baudoin Fabrice
|
||
| London, : Imperial College Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to the geometry of stochastic flows [[electronic resource] /] / Fabrice Baudoin
| An introduction to the geometry of stochastic flows [[electronic resource] /] / Fabrice Baudoin |
| Autore | Baudoin Fabrice |
| Pubbl/distr/stampa | London, : Imperial College Press, c2004 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina |
519.2
519.23 |
| Soggetto topico |
Stochastic geometry
Flows (Differentiable dynamical systems) Stochastic differential equations |
| ISBN |
1-281-86681-4
9786611866815 1-86094-726-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Formal Stochastic Differential Equations; Chapter 2 Stochastic Differential Equations and Carnot Groups; Chapter 3 Hypoelliptic Flows; Appendix A Basic Stochastic Calculus; Appendix B Vector Fields, Lie Groups and Lie Algebras; Bibliography; Index |
| Record Nr. | UNINA-9910784015503321 |
|
Baudoin Fabrice
|
||
| London, : Imperial College Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to the geometry of stochastic flows / / Fabrice Baudoin
| An introduction to the geometry of stochastic flows / / Fabrice Baudoin |
| Autore | Baudoin Fabrice |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press, c2004 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina |
519.2
519.23 |
| Soggetto topico |
Stochastic geometry
Flows (Differentiable dynamical systems) Stochastic differential equations |
| ISBN |
9786611866815
9781281866813 1281866814 9781860947261 1860947263 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Formal Stochastic Differential Equations; Chapter 2 Stochastic Differential Equations and Carnot Groups; Chapter 3 Hypoelliptic Flows; Appendix A Basic Stochastic Calculus; Appendix B Vector Fields, Lie Groups and Lie Algebras; Bibliography; Index |
| Record Nr. | UNINA-9911101248903321 |
|
Baudoin Fabrice
|
||
| London, : Imperial College Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
An introduction to the geometry of stochastic flows / / Fabrice Baudoin
| An introduction to the geometry of stochastic flows / / Fabrice Baudoin |
| Autore | Baudoin Fabrice |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, : Imperial College Press, c2004 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina |
519.2
519.23 |
| Soggetto topico |
Stochastic geometry
Flows (Differentiable dynamical systems) Stochastic differential equations |
| ISBN |
9786611866815
9781281866813 1281866814 9781860947261 1860947263 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface; Contents; Chapter 1 Formal Stochastic Differential Equations; Chapter 2 Stochastic Differential Equations and Carnot Groups; Chapter 3 Hypoelliptic Flows; Appendix A Basic Stochastic Calculus; Appendix B Vector Fields, Lie Groups and Lie Algebras; Bibliography; Index |
| Record Nr. | UNINA-9911138213503321 |
|
Baudoin Fabrice
|
||
| London, : Imperial College Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
New trends on analysis and geometry in metric spaces : Levico Terme, Italy 2017 / / Fabrice Baudoin [and three others]
| New trends on analysis and geometry in metric spaces : Levico Terme, Italy 2017 / / Fabrice Baudoin [and three others] |
| Autore | Baudoin Fabrice |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 515.42 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Calculus of variations
Geometry, Differential Differential equations, Partial Teoria de la mesura geomètrica Càlcul de variacions Equacions en derivades parcials Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-84141-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466420203316 |
|
Baudoin Fabrice
|
||
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
New Trends on Analysis and Geometry in Metric Spaces : Levico Terme, Italy 2017 / / by Fabrice Baudoin, Séverine Rigot, Giuseppe Savaré, Nageswari Shanmugalingam ; edited by Luigi Ambrosio, Bruno Franchi, Irina Markina, Francesco Serra Cassano
| New Trends on Analysis and Geometry in Metric Spaces : Levico Terme, Italy 2017 / / by Fabrice Baudoin, Séverine Rigot, Giuseppe Savaré, Nageswari Shanmugalingam ; edited by Luigi Ambrosio, Bruno Franchi, Irina Markina, Francesco Serra Cassano |
| Autore | Baudoin Fabrice |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 515.42 |
| Collana | C.I.M.E. Foundation Subseries |
| Soggetto topico |
Mathematical optimization
Calculus of variations Measure theory Functional analysis Geometry, Differential Topological groups Lie groups Calculus of Variations and Optimization Measure and Integration Functional Analysis Differential Geometry Topological Groups and Lie Groups Teoria de la mesura geomètrica Càlcul de variacions Equacions en derivades parcials Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-84141-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Contents -- Introduction to the Notes of the School on Analysis and Geometry in Metric Spaces -- Geometric Inequalities on Riemannian and Sub-Riemannian Manifolds by Heat Semigroups Techniques -- 1 Introduction -- 2 Subelliptic Diffusion Operators -- 2.1 Diffusion Operators -- 2.2 Subelliptic Diffusion Operators -- 2.3 The Distance Associated to Subelliptic Diffusion Operators -- 2.4 Essentially Self-Adjoint Subelliptic Operators -- 2.5 The Heat Semigroup Associated to a Subelliptic Diffusion Operator -- 3 The Heat Semigroup on a Complete Riemannian Manifold and Its Geometric Applications -- 3.1 The Laplace-Beltrami Operator -- 3.2 The Heat Semigroup on a Compact Riemannian Manifold -- 3.3 Bochner's Identity -- 3.4 The Curvature Dimension Inequality -- 3.5 Stochastic Completeness -- 3.6 Convergence to Equilibrium, Poincaré and Log-Sobolev Inequalities -- 3.7 The Li-Yau Inequality -- 3.8 The Parabolic Harnack Inequality -- 3.9 The Gaussian Upper Bound -- 3.10 Volume Doubling Property -- 3.11 Upper and Lower Gaussian Bounds for the Heat Kernel -- 3.12 The Poincaré Inequality on Domains -- 3.13 Sobolev Inequality and Volume Growth -- 3.14 Isoperimetric Inequality and Volume Growth -- 3.15 Sharp Sobolev Inequalities -- 3.16 The Sobolev Inequality Proof of the Myer's Diameter Theorem -- 4 The Heat Semigroup on Sub-Riemannian Manifolds and Its Applications -- 4.1 Framework -- 4.2 Li-Yau Inequality and Volume Doubling Properties for the Subelliptic Distance -- References -- Differentiation of Measures in Metric Spaces -- 1 Introduction -- 2 Vitali Type Measures -- 3 Doubling Measures -- 4 Radon Measures in Euclidean Spaces -- 5 σ-Finite Dimensional Metrics -- 6 Weak Besicovitch Covering Property -- References -- Sobolev Spaces in Extended Metric-Measure Spaces -- 1 Introduction -- 1.1 Main Notation -- 2 Topological and Metric-Measure Structures.
2.1 Metric-Measure Structures -- 2.1.1 Topological and Measure Theoretic Notions -- 2.1.2 Extended Metric-Topological (Measure) Spaces -- 2.1.3 Examples -- 2.1.4 The Kantorovich-Rubinstein Distance -- 2.1.5 The Asymptotic Lipschitz Constant -- 2.1.6 Compatible Algebra of Functions -- 2.1.7 Embedding and Compactification of Extended Metric-Measure Spaces -- 2.1.8 Notes -- 2.2 Continuous Curves and Nonparametric Arcs -- 2.2.1 Continuous Curves -- 2.2.2 Arcs -- 2.2.3 Rectifiable Arcs -- 2.2.4 Notes -- 2.3 Length and Conformal Distances -- 2.3.1 The Length Property -- 2.3.2 Conformal Distances -- 2.3.3 Duality for Kantorovich-Rubinstein Cost Functionals Induced by Conformal Distances -- 2.3.4 Notes -- 3 The Cheeger Energy -- 3.1 The Strongest Form of the Cheeger Energy -- 3.1.1 Relaxed Gradients and Local Representation of the Cheeger Energy -- 3.1.2 Invariance w.r.t. Restriction and Completion -- 3.1.3 Notes -- 3.2 Invariance of the Cheeger Energy with Respect to the Core Algebra: The Compact Case -- 3.2.1 The Metric Hopf-Lax Flow in Compact Spaces -- 3.2.2 Invariance of the Cheeger Energy with Respect to A When (X,τ) Is Compact -- 3.2.3 Notes -- 4 p-Modulus and Nonparametric Dynamic Plans -- 4.1 p-Modulus of a Family of Measures and of a Family of Rectifiable Arcs -- 4.1.1 p-Modulus of a Family of Radon Measures -- 4.1.2 p-Modulus of a Family of Rectifiable Arcs -- 4.1.3 Notes -- 4.2 (Nonparametric) Dynamic Plans with Barycenter in Lq(X,m) -- 4.2.1 Notes -- 4.3 Equivalence Between Contp and Modp -- 4.3.1 Notes -- 5 Weak Upper Gradients and Identification of Sobolev Spaces -- 5.1 (Nonparametric) Weak Upper Gradients and Weak Sobolev Spaces -- 5.1.1 Tq-Test Plans and Tq-Weak Upper Gradients -- 5.1.2 The Link with Modp-Weak Upper Gradients -- 5.1.3 Minimal Tq-Weak Upper Gradient and the Sobolev Space W1,p(X,Tq). 5.1.4 Invariance Properties of Weak Sobolev Spaces -- 5.1.5 The Approach by Parametric Dynamic Plans -- 5.1.6 Notes -- 5.2 Identification of Sobolev Spaces -- 5.2.1 Dual Cheeger Energies -- 5.2.2 H=W -- 5.2.3 Notes -- 5.3 Examples and Applications -- 5.3.1 Refined Invariance of the (Strong) Cheeger Energy -- 5.3.2 Examples -- 5.3.3 Distinguished Representations of Metric Sobolev Spaces -- Appendix A -- A.1 Nets -- A.2 Initial Topologies -- A.3 Polish, Lusin, Souslin and Analytic Sets -- A.4 Choquet Capacities -- A.5 Measurable Maps with Values in Separable Banach Spaces -- A.6 Homogeneous Convex Functionals -- A.7 Von Neumann Theorem -- References -- Brief Survey on Functions of Bounded Variation (BV) in MetricSetting -- 1 Introduction -- 2 Sobolev Classes in the Metric Setting -- 2.1 Fundamental Theorem of Calculus and Upper Gradients -- 2.2 p-Modulus -- 2.3 p-Weak Upper Gradients and Newton-Sobolev Classes N1,p(X) -- 2.4 Some Properties of p-Weak Upper Gradient -- 3 BV Functions in Metric Setting -- 3.1 Outer Measure Property -- 3.2 Sets of Finite Perimeter -- 3.3 1-Poincaré Inequality and BV -- References -- Index. |
| Record Nr. | UNINA-9910544848303321 |
|
Baudoin Fabrice
|
||
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||