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Degenerate diffusion operators arising in population biology [[electronic resource] /] / Charles L. Epstein and Rafe Mazzeo
| Degenerate diffusion operators arising in population biology [[electronic resource] /] / Charles L. Epstein and Rafe Mazzeo |
| Autore | Epstein Charles L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 577.8/801519233 |
| Altri autori (Persone) | MazzeoRafe |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Elliptic operators
Markov processes Population biology - Mathematical models |
| Soggetto non controllato |
1-dimensional integral
Euclidean model problem Euclidean space Hlder space Hopf boundary point Kimura diffusion equation Kimura diffusion operator Laplace transform Schauder estimate WrightІisher geometry adjoint operator backward Kolmogorov equation boundary behavior degenerate elliptic operator doubling elliptic Kimura operator elliptic equation forward Kolmogorov equation function space general model problem generalized Kimura diffusion heat equation heat kernel higher dimensional corner higher regularity holomorphic semi-group homogeneous Cauchy problem hybrid space hypersurface boundary induction hypothesis induction inhomogeneous problem irregular solution long time asymptotics long-time behavior manifold with corners martingale problem mathematical finance model problem normal form normal vector null-space off-diagonal behavior open orthant parabolic equation perturbation theory polyhedron population genetics probability theory regularity resolvent operator semi-group solution operator uniqueness |
| ISBN |
1-4008-4718-4
1-299-05145-6 1-4008-4610-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part I. Wright-Fisher Geometry and the Maximum Principle -- Chapter 2. Wright-Fisher Geometry -- Chapter 3. Maximum Principles and Uniqueness Theorems -- Part II. Analysis of Model Problems -- Chapter 4. The Model Solution Operators -- Chapter 5. Degenerate Hölder Spaces -- Chapter 6. Hölder Estimates for the 1-dimensional Model Problems -- Chapter 7. Hölder Estimates for Higher Dimensional Corner Models -- Chapter 8. Hölder Estimates for Euclidean Models -- Chapter 9. Hölder Estimates for General Models -- Part III. Analysis of Generalized Kimura Diffusions -- Chapter 10. Existence of Solutions -- Chapter 11. The Resolvent Operator -- Chapter 12. The Semi-group on ℂ°(P) -- Appendix A: Proofs of Estimates for the Degenerate 1-d Model -- Bibliography -- Index |
| Record Nr. | UNINA-9910786024003321 |
Epstein Charles L
|
||
| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Degenerate diffusion operators arising in population biology / / Charles L. Epstein and Rafe Mazzeo
| Degenerate diffusion operators arising in population biology / / Charles L. Epstein and Rafe Mazzeo |
| Autore | Epstein Charles L |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
| Descrizione fisica | 1 online resource (321 p.) |
| Disciplina | 577.8/801519233 |
| Altri autori (Persone) | MazzeoRafe |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Elliptic operators
Markov processes Population biology - Mathematical models |
| Soggetto non controllato |
1-dimensional integral
Euclidean model problem Euclidean space Hlder space Hopf boundary point Kimura diffusion equation Kimura diffusion operator Laplace transform Schauder estimate WrightІisher geometry adjoint operator backward Kolmogorov equation boundary behavior degenerate elliptic operator doubling elliptic Kimura operator elliptic equation forward Kolmogorov equation function space general model problem generalized Kimura diffusion heat equation heat kernel higher dimensional corner higher regularity holomorphic semi-group homogeneous Cauchy problem hybrid space hypersurface boundary induction hypothesis induction inhomogeneous problem irregular solution long time asymptotics long-time behavior manifold with corners martingale problem mathematical finance model problem normal form normal vector null-space off-diagonal behavior open orthant parabolic equation perturbation theory polyhedron population genetics probability theory regularity resolvent operator semi-group solution operator uniqueness |
| ISBN |
1-4008-4718-4
1-299-05145-6 1-4008-4610-2 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part I. Wright-Fisher Geometry and the Maximum Principle -- Chapter 2. Wright-Fisher Geometry -- Chapter 3. Maximum Principles and Uniqueness Theorems -- Part II. Analysis of Model Problems -- Chapter 4. The Model Solution Operators -- Chapter 5. Degenerate Hölder Spaces -- Chapter 6. Hölder Estimates for the 1-dimensional Model Problems -- Chapter 7. Hölder Estimates for Higher Dimensional Corner Models -- Chapter 8. Hölder Estimates for Euclidean Models -- Chapter 9. Hölder Estimates for General Models -- Part III. Analysis of Generalized Kimura Diffusions -- Chapter 10. Existence of Solutions -- Chapter 11. The Resolvent Operator -- Chapter 12. The Semi-group on ℂ°(P) -- Appendix A: Proofs of Estimates for the Degenerate 1-d Model -- Bibliography -- Index |
| Record Nr. | UNINA-9910814832803321 |
|
Epstein Charles L
|
||
| Princeton, : Princeton University Press, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910456831103321 |
|
Bismut Jean-Michel
|
||
| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals [[electronic resource] /] / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910781482503321 |
|
Bismut Jean-Michel
|
||
| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hypoelliptic Laplacian and orbital integrals / / Jean-Michel Bismut
| Hypoelliptic Laplacian and orbital integrals / / Jean-Michel Bismut |
| Autore | Bismut Jean-Michel |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (320 p.) |
| Disciplina | 515.7242 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Definite integrals Orbit method |
| Soggetto non controllato |
Bianchi identity
Brownian motion Casimir operator Clifford algebras Clifford variables Dirac operator Euclidean vector space Feynman-Kac formula Gaussian integral Gaussian type estimates Heisenberg algebras Kostant Leftschetz formula Littlewood-Paley decomposition Malliavin calculus Pontryagin maximum principle Selberg's trace formula Sobolev spaces Toponogov's theorem Witten complex action functional complexification conjugations convergence convexity de Rham complex displacement function distance function elliptic Laplacian elliptic orbital integrals fixed point formulas flat bundle general kernels general orbital integrals geodesic flow geodesics harmonic oscillator heat kernel heat kernels heat operators hypoelliptic Laplacian hypoelliptic deformation hypoelliptic heat kernel hypoelliptic heat kernels hypoelliptic operators hypoelliptic orbital integrals index formulas index theory infinite dimensional orbital integrals keat kernels local index theory locally symmetric space matrix part model operator nondegeneracy orbifolds orbital integrals parallel transport trivialization probabilistic construction pseudodistances quantitative estimates quartic term real vector space refined estimates rescaled heat kernel resolvents return map rough estimates scalar heat kernel scalar heat kernels scalar hypoelliptic Laplacian scalar hypoelliptic heat kernels scalar hypoelliptic operator scalar part semisimple orbital integrals smooth kernels standard elliptic heat kernel supertraces symmetric space symplectic vector space trace formula unbounded operators uniform bounds uniform estimates variational problems vector bundles wave equation wave kernel wave operator |
| ISBN |
1-283-16387-X
9786613163875 1-4008-4057-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Acknowledgments -- Introduction -- Chapter One. Clifford and Heisenberg algebras -- Chapter Two. The hypoelliptic Laplacian on X = G/K -- Chapter Three. The displacement function and the return map -- Chapter Four. Elliptic and hypoelliptic orbital integrals -- Chapter Five. Evaluation of supertraces for a model operator -- Chapter Six. A formula for semisimple orbital integrals -- Chapter Seven. An application to local index theory -- Chapter Eight. The case where [k (γ) ; p0] = 0 -- Chapter Nine. A proof of the main identity -- Chapter Ten. The action functional and the harmonic oscillator -- Chapter Eleven. The analysis of the hypoelliptic Laplacian -- Chapter Twelve. Rough estimates on the scalar heat kernel -- Chapter Thirteen. Refined estimates on the scalar heat kernel for bounded b -- Chapter Fourteen. The heat kernel qXb;t for bounded b -- Chapter Fifteen. The heat kernel qXb;t for b large -- Bibliography -- Subject Index -- Index of Notation |
| Record Nr. | UNINA-9910827349603321 |
|
Bismut Jean-Michel
|
||
| Princeton, : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||