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The decomposition of global conformal invariants [[electronic resource] /] / Spyros Alexakis
| The decomposition of global conformal invariants [[electronic resource] /] / Spyros Alexakis |
| Autore | Alexakis Spyros <1978-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (460 p.) |
| Disciplina | 518 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Conformal invariants
Decomposition (Mathematics) |
| Soggetto non controllato |
CauchyВiemann geometry
DeserГchwimmer conjecture Khler geometry Riemannian invariants Riemannian metrics Riemannian scalar Schouten tensor Weyl tensor algebraic propositions ambient metrics conformal anomalies conformal invariant conformal invariants conformally invariant functionals curvature tensor decomposition differential geometry global conformal invariant global invariants grand conclusion index theory induction iterative decomposition lemma lemmas manifold theoretical physics |
| ISBN |
1-280-49429-8
9786613589521 1-4008-4272-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments -- 1. Introduction -- 2. An Iterative Decomposition of Global Conformal Invariants: The First Step -- 3. The Second Step: The Fefferman-Graham Ambient Metric and the Nature of the Decomposition -- 4. A Result on the Structure of Local Riemannian Invariants: The Fundamental Proposition -- 5. The Inductive Step of the Fundamental Proposition: The Simpler Cases -- 6. The Inductive Step of the Fundamental Proposition: The Hard Cases, Part I -- 7. The Inductive Step of the Fundamental Proposition: The Hard Cases, Part II -- A. Appendix -- Bibliography -- Index of Authors and Terms -- Index of Symbols |
| Record Nr. | UNINA-9910791043503321 |
Alexakis Spyros <1978->
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| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland
| Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland |
| Autore | Bonifant Araceli |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (824 p.) |
| Disciplina | 515.9 |
| Altri autori (Persone) |
BonifantAraceli
LyubichMikhail SutherlandScott |
| Collana | Princeton Mathematical Series |
| Soggetto topico |
Functions of complex variables
Differentiable dynamical systems |
| Soggetto non controllato |
John Milnor
Jordan curves Julia sets K-theory M. Hakim Maldelbrot set Milnor's conjecture Sierpinski carpets Sierpinski gaskets Thurston Rigidity Theorem William Thurston antiholomorphic quadratic polynomials antiholomorphic unicritical polynomials arithmetics asymptotic behavior automorphisms biholomorphisms combinatorial group theory complex manifolds complex polynomials conformal distortion conjugacy connectedness loci critical objects critical point critically finite case decomposition differential geometry differential topology dynamical cores dynamical derivatives dynamical scales dynamical systems dynamics eigenvalues entropy theory entropy escape regions expanding critical orbits external rays geometrically finite rational maps global meromorphic maps holomorphic dynamics studies holomorphic dynamics holomorphic germs holomorphic maps hyperbolic distortion hyperbolic geometry hyperbolicity identity germ implosions index theorems infinitely renormalizable quadratic polynomials integral closure interval dynamics irreducibility kneading sequences laminations leading monomial vector leading monomials limiting behavior local connectivity local dynamics mathematics mating metric stability monotonicity multicorn non-locally connected Julia sets one-dimensional maps periodic critical orbit periodic objects periodic orbits perturbations polynomials postcritically finite maps projective space pushforwards quadratic differentials quadratic dynatomic curves quadratic polynomials random walks rational maps renormalization theory resurgence theory rigidity robustness singularly perturbed rational maps smoothness spherical geometry summability condition summable critical points topological entropy topological polynomials topological space transversality theory tricorn unbounded hyperbolic components unicritical polynomial maps unimodal interval map unmating |
| ISBN |
1-4008-5139-4
1-4008-5131-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part I. One Complex Variable -- Arithmetic of Unicritical Polynomial Maps / Milnor, John -- Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques / Bousch, Thierry -- Dynamical cores of topological polynomials / Blokh, Alexander / Oversteegen, Lex / Ptacek, Ross / Timorin, Vladlen -- The quadratic dynatomic curves are smooth and irreducible / Bu, Xavier / Lei, Tan -- Multicorns are not path connected / Hubbard, John Hamal / Schleicher, Dierk -- Leading monomials of escape regions / Kiwi, Jan -- Limiting behavior of Julia sets of singularly perturbed rational maps / Devaney, Robert L. -- On (non-)local connectivity of some Julia sets / Dezotti, Alexandre / Roesch, Pascale -- Perturbations of weakly expanding critical orbits / Levin, Genadi -- Unmating of rational maps: Sufficient criteria and examples / Meyer, Daniel -- A framework toward understanding the characterization of holomorphic dynamics / Jiang, Yunping -- Part II. One Real Variable -- Metric stability for random walks (with applications in renormalization theory) / Moreira, Carlos Gustavo / Smania, Daniel -- Milnor's conjecture on monotonicity of topological entropy: Results and questions / Strien, Sebastian van -- Entropy in dimension one / Thurston, William P. -- Part III. Several Complex Variables -- On Écalle-Hakim's theorems in holomorphic dynamics / Arizzi, Marco / Raissy, Jasmin -- Index theorems for meromorphic self-maps of the projective space / Abate, Marco -- Dynamics of automorphisms of compact complex surfaces / Cantat, Serge -- Bifurcation currents and equidistribution in parameter space / Dujardin, Romain -- Part IV. Laminations and Foliations -- Entropy for hyperbolic Riemann surface laminations I / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Entropy for hyperbolic Riemann surface laminations II / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Intersection theory for ergodic solenoids / Muñoz, Vicente / Pérez-Marco, Ricardo -- Invariants of four-manifolds with flows via cohomological field theory / García-Compeán, Hugo / Santos-Silva, Roberto / Verjovsky, Alberto -- Color Plates -- Part V. Geometry and Algebra -- Two papers which changed my life: Milnor's seminal work on at manifolds and bundles / Goldman, William M. -- Milnor's problem on the growth of groups and its consequences / Grigorchuk, Rostislav -- Contributors -- Index |
| Record Nr. | UNINA-9910789017803321 |
|
Bonifant Araceli
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland
| Frontiers in complex dynamics : in celebration of John Milnor's 80th birthday / / edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland |
| Autore | Bonifant Araceli |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 |
| Descrizione fisica | 1 online resource (824 p.) |
| Disciplina | 515.9 |
| Altri autori (Persone) |
BonifantAraceli
LyubichMikhail SutherlandScott |
| Collana | Princeton Mathematical Series |
| Soggetto topico |
Functions of complex variables
Differentiable dynamical systems |
| Soggetto non controllato |
John Milnor
Jordan curves Julia sets K-theory M. Hakim Maldelbrot set Milnor's conjecture Sierpinski carpets Sierpinski gaskets Thurston Rigidity Theorem William Thurston antiholomorphic quadratic polynomials antiholomorphic unicritical polynomials arithmetics asymptotic behavior automorphisms biholomorphisms combinatorial group theory complex manifolds complex polynomials conformal distortion conjugacy connectedness loci critical objects critical point critically finite case decomposition differential geometry differential topology dynamical cores dynamical derivatives dynamical scales dynamical systems dynamics eigenvalues entropy theory entropy escape regions expanding critical orbits external rays geometrically finite rational maps global meromorphic maps holomorphic dynamics studies holomorphic dynamics holomorphic germs holomorphic maps hyperbolic distortion hyperbolic geometry hyperbolicity identity germ implosions index theorems infinitely renormalizable quadratic polynomials integral closure interval dynamics irreducibility kneading sequences laminations leading monomial vector leading monomials limiting behavior local connectivity local dynamics mathematics mating metric stability monotonicity multicorn non-locally connected Julia sets one-dimensional maps periodic critical orbit periodic objects periodic orbits perturbations polynomials postcritically finite maps projective space pushforwards quadratic differentials quadratic dynatomic curves quadratic polynomials random walks rational maps renormalization theory resurgence theory rigidity robustness singularly perturbed rational maps smoothness spherical geometry summability condition summable critical points topological entropy topological polynomials topological space transversality theory tricorn unbounded hyperbolic components unicritical polynomial maps unimodal interval map unmating |
| ISBN |
1-4008-5139-4
1-4008-5131-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part I. One Complex Variable -- Arithmetic of Unicritical Polynomial Maps / Milnor, John -- Les racines des composantes hyperboliques de M sont des quarts d'entiers algébriques / Bousch, Thierry -- Dynamical cores of topological polynomials / Blokh, Alexander / Oversteegen, Lex / Ptacek, Ross / Timorin, Vladlen -- The quadratic dynatomic curves are smooth and irreducible / Bu, Xavier / Lei, Tan -- Multicorns are not path connected / Hubbard, John Hamal / Schleicher, Dierk -- Leading monomials of escape regions / Kiwi, Jan -- Limiting behavior of Julia sets of singularly perturbed rational maps / Devaney, Robert L. -- On (non-)local connectivity of some Julia sets / Dezotti, Alexandre / Roesch, Pascale -- Perturbations of weakly expanding critical orbits / Levin, Genadi -- Unmating of rational maps: Sufficient criteria and examples / Meyer, Daniel -- A framework toward understanding the characterization of holomorphic dynamics / Jiang, Yunping -- Part II. One Real Variable -- Metric stability for random walks (with applications in renormalization theory) / Moreira, Carlos Gustavo / Smania, Daniel -- Milnor's conjecture on monotonicity of topological entropy: Results and questions / Strien, Sebastian van -- Entropy in dimension one / Thurston, William P. -- Part III. Several Complex Variables -- On Écalle-Hakim's theorems in holomorphic dynamics / Arizzi, Marco / Raissy, Jasmin -- Index theorems for meromorphic self-maps of the projective space / Abate, Marco -- Dynamics of automorphisms of compact complex surfaces / Cantat, Serge -- Bifurcation currents and equidistribution in parameter space / Dujardin, Romain -- Part IV. Laminations and Foliations -- Entropy for hyperbolic Riemann surface laminations I / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Entropy for hyperbolic Riemann surface laminations II / Dinh, Tien-Cuong / Nguyên, Viet-Anh / Sibony, Nessim -- Intersection theory for ergodic solenoids / Muñoz, Vicente / Pérez-Marco, Ricardo -- Invariants of four-manifolds with flows via cohomological field theory / García-Compeán, Hugo / Santos-Silva, Roberto / Verjovsky, Alberto -- Color Plates -- Part V. Geometry and Algebra -- Two papers which changed my life: Milnor's seminal work on at manifolds and bundles / Goldman, William M. -- Milnor's problem on the growth of groups and its consequences / Grigorchuk, Rostislav -- Contributors -- Index |
| Record Nr. | UNINA-9910828074103321 |
|
Bonifant Araceli
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Space-time-matter : analytic and geometric structures / / edited by Jochen Bruening, Matthias Staudacher
| Space-time-matter : analytic and geometric structures / / edited by Jochen Bruening, Matthias Staudacher |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (518 pages) |
| Disciplina | 530.143 |
| Soggetto topico |
Quantum field theory
Algebraic topology |
| Soggetto non controllato |
Mathematical physics
algebraic geometry cosmology differential geometry quantum field theory string theory |
| ISBN |
3-11-045153-0
3-11-045215-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction / Brüning, Jochen / Staudacher, Matthias -- Algebraic K-theory, assembly maps, controlled algebra, and trace methods / Reich, Holger / Varisco, Marco -- Lorentzian manifolds with special holonomy - Constructions and global properties / Baum, Helga -- Contributions to the spectral geometry of locally homogeneous spaces / Boldt, Sebastian / Schueth, Dorothee -- On conformally covariant differential operators and spectral theory of the holographic Laplacian / Juhl, Andreas -- Moduli and deformations / Altmann, Klaus / Farkas, Gavril -- Vector bundles in algebraic geometry and mathematical physics / Andreas, Björn / Schmitt, Alexander -- Dyson-Schwinger equations: Fix-point equations for quantum fields / Kreimer, Dirk -- Hidden structure in the form factors of N = 4 SYM / Nandan, Dhritiman / Yang, Gang -- On regulating the AdS superstring / Forini, Valentina -- Constraints on CFT observables from the bootstrap program / Liendo, Pedro -- Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / Chiodaroli, Marco -- Yangian symmetry inmaximally supersymmetric Yang-Mills theory / Ferro, Livia / Plefka, Jan / Staudacher, Matthias -- Wave and Dirac equations on manifolds / Andersson, Lars / Bär, Christian -- Geometric analysis on singular spaces / Bei, Francesco / Brüning, Jochen / Güneysu, Batu / Ludewig, Matthias -- Singularities and long-time behavior in nonlinear evolution equations and general relativity / Ecker, Klaus / Fiedler, Bernold -- Index |
| Record Nr. | UNINA-9910796775003321 |
| Berlin ; ; Boston : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Space-time-matter : analytic and geometric structures / / edited by Jochen Bruening, Matthias Staudacher
| Space-time-matter : analytic and geometric structures / / edited by Jochen Bruening, Matthias Staudacher |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter, , [2018] |
| Descrizione fisica | 1 online resource (518 pages) |
| Disciplina | 530.143 |
| Soggetto topico |
Quantum field theory
Algebraic topology |
| Soggetto non controllato |
Mathematical physics
algebraic geometry cosmology differential geometry quantum field theory string theory |
| ISBN |
3-11-045153-0
3-11-045215-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction / Brüning, Jochen / Staudacher, Matthias -- Algebraic K-theory, assembly maps, controlled algebra, and trace methods / Reich, Holger / Varisco, Marco -- Lorentzian manifolds with special holonomy - Constructions and global properties / Baum, Helga -- Contributions to the spectral geometry of locally homogeneous spaces / Boldt, Sebastian / Schueth, Dorothee -- On conformally covariant differential operators and spectral theory of the holographic Laplacian / Juhl, Andreas -- Moduli and deformations / Altmann, Klaus / Farkas, Gavril -- Vector bundles in algebraic geometry and mathematical physics / Andreas, Björn / Schmitt, Alexander -- Dyson-Schwinger equations: Fix-point equations for quantum fields / Kreimer, Dirk -- Hidden structure in the form factors of N = 4 SYM / Nandan, Dhritiman / Yang, Gang -- On regulating the AdS superstring / Forini, Valentina -- Constraints on CFT observables from the bootstrap program / Liendo, Pedro -- Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / Chiodaroli, Marco -- Yangian symmetry inmaximally supersymmetric Yang-Mills theory / Ferro, Livia / Plefka, Jan / Staudacher, Matthias -- Wave and Dirac equations on manifolds / Andersson, Lars / Bär, Christian -- Geometric analysis on singular spaces / Bei, Francesco / Brüning, Jochen / Güneysu, Batu / Ludewig, Matthias -- Singularities and long-time behavior in nonlinear evolution equations and general relativity / Ecker, Klaus / Fiedler, Bernold -- Index |
| Record Nr. | UNINA-9910826594703321 |
| Berlin ; ; Boston : , : De Gruyter, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||