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Hypoelliptic estimates and spectral theory for fokker-planck operators and witten laplacians / / Bernard Helffer, Francis Nier
| Hypoelliptic estimates and spectral theory for fokker-planck operators and witten laplacians / / Bernard Helffer, Francis Nier |
| Autore | Helffer Bernard |
| Edizione | [1st ed. 2005.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, United States : , : Springer, , [2005] |
| Descrizione fisica | 1 online resource (X, 209 p.) |
| Disciplina | 510 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Spectral theory (Mathematics)
Hypoelliptic operators |
| ISBN | 3-540-31553-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Kohn's Proof of the Hypoellipticity of the Hörmander Operators -- Compactness Criteria for the Resolvent of Schrödinger Operators -- Global Pseudo-differential Calculus -- Analysis of some Fokker-Planck Operator -- Return to Equillibrium for the Fokker-Planck Operator -- Hypoellipticity and Nilpotent Groups -- Maximal Hypoellipticity for Polynomial of Vector Fields and Spectral Byproducts -- On Fokker-Planck Operators and Nilpotent Techniques -- Maximal Microhypoellipticity for Systems and Applications to Witten Laplacians -- Spectral Properties of the Witten-Laplacians in Connection with Poincaré Inequalities for Laplace Integrals -- Semi-classical Analysis for the Schrödinger Operator: Harmonic Approximation -- Decay of Eigenfunctions and Application to the Splitting -- Semi-classical Analysis and Witten Laplacians: Morse Inequalities -- Semi-classical Analysis and Witten Laplacians: Tunneling Effects -- Accurate Asymptotics for the Exponentially Small Eigenvalues of the Witten Laplacian -- Application to the Fokker-Planck Equation -- Epilogue -- Index. |
| Record Nr. | UNINA-9910483993903321 |
Helffer Bernard
|
||
| Berlin, Germany ; ; New York, United States : , : Springer, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypoelliptic estimates and spectral theory for fokker-planck operators and witten laplacians / / Bernard Helffer, Francis Nier
| Hypoelliptic estimates and spectral theory for fokker-planck operators and witten laplacians / / Bernard Helffer, Francis Nier |
| Autore | Helffer Bernard |
| Edizione | [1st ed. 2005.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, United States : , : Springer, , [2005] |
| Descrizione fisica | 1 online resource (X, 209 p.) |
| Disciplina | 510 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Spectral theory (Mathematics)
Hypoelliptic operators |
| ISBN | 3-540-31553-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Kohn's Proof of the Hypoellipticity of the Hörmander Operators -- Compactness Criteria for the Resolvent of Schrödinger Operators -- Global Pseudo-differential Calculus -- Analysis of some Fokker-Planck Operator -- Return to Equillibrium for the Fokker-Planck Operator -- Hypoellipticity and Nilpotent Groups -- Maximal Hypoellipticity for Polynomial of Vector Fields and Spectral Byproducts -- On Fokker-Planck Operators and Nilpotent Techniques -- Maximal Microhypoellipticity for Systems and Applications to Witten Laplacians -- Spectral Properties of the Witten-Laplacians in Connection with Poincaré Inequalities for Laplace Integrals -- Semi-classical Analysis for the Schrödinger Operator: Harmonic Approximation -- Decay of Eigenfunctions and Application to the Splitting -- Semi-classical Analysis and Witten Laplacians: Morse Inequalities -- Semi-classical Analysis and Witten Laplacians: Tunneling Effects -- Accurate Asymptotics for the Exponentially Small Eigenvalues of the Witten Laplacian -- Application to the Fokker-Planck Equation -- Epilogue -- Index. |
| Record Nr. | UNISA-996466484303316 |
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Helffer Bernard
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| Berlin, Germany ; ; New York, United States : , : Springer, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Semi-classical analysis for the Schrödinger operator and applications / / Bernard Helffer
| Semi-classical analysis for the Schrödinger operator and applications / / Bernard Helffer |
| Autore | Helffer Bernard |
| Edizione | [1st ed. 1988.] |
| Pubbl/distr/stampa | Berlin : , : Springer-Verlag, , [1988] |
| Descrizione fisica | 1 online resource (V, 110 p.) |
| Disciplina | 515.724 |
| Collana | Lecture notes in mathematics (Springer-Verlag) |
| Soggetto topico |
Schrödinger operator
Differential equations, Partial - Asymptotic theory Spectral theory (Mathematics) |
| ISBN | 3-540-45913-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Generalities on semi-classical analysis -- B.K.W. Construction for a potential near the bottom in the case of non-degenerate minima -- The decay of the eigenfunctions -- Study of interaction between the wells -- An introduction to recent results of Witten -- On Schrödinger operators with periodic electric potentials -- On Schrödinger operators with magnetic fields. |
| Record Nr. | UNISA-996466478203316 |
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Helffer Bernard
|
||
| Berlin : , : Springer-Verlag, , [1988] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Semiclassical analysis, Witten Laplacians, and statistical mechanics [[electronic resource] /] / Bernard Helffer
| Semiclassical analysis, Witten Laplacians, and statistical mechanics [[electronic resource] /] / Bernard Helffer |
| Autore | Helffer Bernard |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (190 p.) |
| Disciplina | 530.13 |
| Collana | Series on partial differential equations and applications |
| Soggetto topico | Statistical mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-689-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Introduction ; 1.1 Laplace integrals ; 1.2 The problems in statistical mechanics ; 1.3 Semi-classical analysis and transfer operators ; 1.4 About the contents ; Chapter 2 Witten Laplacians approach ; 2.1 De Rham Complex ; 2.2 Witten Complex
2.3 Witten Laplacians 2.4 Semi-classical considerations ; 2.5 An alternative point of view : Dirichlet forms ; 2.6 A nice formula for the covariance ; 2.7 Notes ; Chapter 3 Problems in statistical mechanics with discrete spins ; 3.1 The Curie-Weiss model ; 3.2 The 1-d Ising model 3.3 The 2-d Ising model 3.4 Notes ; Chapter 4 Laplace integrals and transfer operators ; 4.1 Introduction ; 4.2 Classical Laplace method ; 4.2.1 Standard results ; 4.2.2 Transition between the convex case and the double well case ; 4.3 The method of transfer operators 4.4 Elementary properties of operators with integral kernels 4.5 Elementary properties of the transfer operator ; 4.6 Operators with strictly positive kernel and application ; 4.7 Thermodynamic limit ; 4.8 Mean value ; 4.9 Pair correlation ; 4.10 2-dimensional lattices ; 4.11 Notes Chapter 5 Semi-classical analysis for the transfer operators 5.1 Introduction ; 5.2 Explicit computations for the harmonic Kac operator ; 5.3 Harmonic approximation for the transfer operator ; 5.4 WKB constructions for the transfer operator 5.5 The case of the Schrodinger operator in dimension 1 |
| Record Nr. | UNINA-9910458939003321 |
|
Helffer Bernard
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Semiclassical analysis, Witten Laplacians, and statistical mechanics [[electronic resource] /] / Bernard Helffer
| Semiclassical analysis, Witten Laplacians, and statistical mechanics [[electronic resource] /] / Bernard Helffer |
| Autore | Helffer Bernard |
| Pubbl/distr/stampa | River Edge, NJ, : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (190 p.) |
| Disciplina | 530.13 |
| Collana | Series on partial differential equations and applications |
| Soggetto topico | Statistical mechanics |
| ISBN | 981-277-689-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Introduction ; 1.1 Laplace integrals ; 1.2 The problems in statistical mechanics ; 1.3 Semi-classical analysis and transfer operators ; 1.4 About the contents ; Chapter 2 Witten Laplacians approach ; 2.1 De Rham Complex ; 2.2 Witten Complex
2.3 Witten Laplacians 2.4 Semi-classical considerations ; 2.5 An alternative point of view : Dirichlet forms ; 2.6 A nice formula for the covariance ; 2.7 Notes ; Chapter 3 Problems in statistical mechanics with discrete spins ; 3.1 The Curie-Weiss model ; 3.2 The 1-d Ising model 3.3 The 2-d Ising model 3.4 Notes ; Chapter 4 Laplace integrals and transfer operators ; 4.1 Introduction ; 4.2 Classical Laplace method ; 4.2.1 Standard results ; 4.2.2 Transition between the convex case and the double well case ; 4.3 The method of transfer operators 4.4 Elementary properties of operators with integral kernels 4.5 Elementary properties of the transfer operator ; 4.6 Operators with strictly positive kernel and application ; 4.7 Thermodynamic limit ; 4.8 Mean value ; 4.9 Pair correlation ; 4.10 2-dimensional lattices ; 4.11 Notes Chapter 5 Semi-classical analysis for the transfer operators 5.1 Introduction ; 5.2 Explicit computations for the harmonic Kac operator ; 5.3 Harmonic approximation for the transfer operator ; 5.4 WKB constructions for the transfer operator 5.5 The case of the Schrodinger operator in dimension 1 |
| Record Nr. | UNINA-9910784502303321 |
|
Helffer Bernard
|
||
| River Edge, NJ, : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]]
| Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]] |
| Autore | Helffer Bernard |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (v, 255 pages) : digital, PDF file(s) |
| Disciplina | 515/.7222 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico | Spectral theory (Mathematics) |
| ISBN |
1-107-23802-1
1-107-25498-1 1-139-61121-6 1-139-61307-3 1-139-50572-6 1-139-62609-4 1-139-61679-X 1-283-89949-3 1-139-62237-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: 1. Introduction; 2. Unbounded operators; 3. Representation theorems; 4. Semibounded operators; 5. Compact operators; 6. Spectral theory for bounded operators; 7. Applications in physics and PDE; 8. Spectrum for self-adjoint operators; 9. Essentially self-adjoint operators; 10. Discrete spectrum, essential spectrum; 11. The max-min principle; 12. An application to fluid mechanics; 13. Pseudospectra; 14. Applications for 1D-models; 15. Applications in kinetic theory; 16. Problems; References; Index. |
| Altri titoli varianti | Spectral Theory & its Applications |
| Record Nr. | UNINA-9910452513803321 |
|
Helffer Bernard
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]]
| Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]] |
| Autore | Helffer Bernard |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (v, 255 pages) : digital, PDF file(s) |
| Disciplina | 515/.7222 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico | Spectral theory (Mathematics) |
| ISBN |
1-107-23802-1
1-107-25498-1 1-139-61121-6 1-139-61307-3 1-139-50572-6 1-139-62609-4 1-139-61679-X 1-283-89949-3 1-139-62237-4 |
| Classificazione | MAT000000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: 1. Introduction; 2. Unbounded operators; 3. Representation theorems; 4. Semibounded operators; 5. Compact operators; 6. Spectral theory for bounded operators; 7. Applications in physics and PDE; 8. Spectrum for self-adjoint operators; 9. Essentially self-adjoint operators; 10. Discrete spectrum, essential spectrum; 11. The max-min principle; 12. An application to fluid mechanics; 13. Pseudospectra; 14. Applications for 1D-models; 15. Applications in kinetic theory; 16. Problems; References; Index. |
| Altri titoli varianti | Spectral Theory & its Applications |
| Record Nr. | UNINA-9910779310203321 |
|
Helffer Bernard
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]]
| Spectral theory and its applications / / Bernard Helffer, Université Paris-Sud [[electronic resource]] |
| Autore | Helffer Bernard |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (v, 255 pages) : digital, PDF file(s) |
| Disciplina | 515/.7222 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico | Spectral theory (Mathematics) |
| ISBN |
1-107-23802-1
1-107-25498-1 1-139-61121-6 1-139-61307-3 1-139-50572-6 1-139-62609-4 1-139-61679-X 1-283-89949-3 1-139-62237-4 |
| Classificazione | MAT000000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Machine generated contents note: 1. Introduction; 2. Unbounded operators; 3. Representation theorems; 4. Semibounded operators; 5. Compact operators; 6. Spectral theory for bounded operators; 7. Applications in physics and PDE; 8. Spectrum for self-adjoint operators; 9. Essentially self-adjoint operators; 10. Discrete spectrum, essential spectrum; 11. The max-min principle; 12. An application to fluid mechanics; 13. Pseudospectra; 14. Applications for 1D-models; 15. Applications in kinetic theory; 16. Problems; References; Index. |
| Altri titoli varianti | Spectral Theory & its Applications |
| Record Nr. | UNINA-9910828532803321 |
|
Helffer Bernard
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||