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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 | ||
| ||
A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit
| A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit |
| Autore | Farb Benson |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (489 p.) |
| Disciplina | 512.7/4 |
| Altri autori (Persone) | MargalitDan <1976-> |
| Collana | Princeton mathematical series |
| Soggetto topico |
Mappings (Mathematics)
Class groups (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
3-manifold theory
Alexander method Birman exact sequence BirmanЈilden theorem Dehn twists DehnЌickorish theorem DehnЎielsenЂaer theorem Dennis Johnson Euler class FenchelЎielsen coordinates Gervais presentation Grtzsch's problem Johnson homomorphism Markov partitions Meyer signature cocycle Mod(S) Nielsen realization theorem NielsenДhurston classification theorem NielsenДhurston classification Riemann surface Teichmller mapping Teichmller metric Teichmller space Thurston compactification Torelli group Wajnryb presentation algebraic integers algebraic intersection number algebraic relations algebraic structure annulus aspherical manifold bigon criterion braid group branched cover capping homomorphism classifying space closed surface collar lemma compactness criterion complex of curves configuration space conjugacy class coordinates principle cutting homomorphism cyclic subgroup diffeomorphism disk existence theorem extended mapping class group finite index finite subgroup finite-order homeomorphism finite-order mapping class first homology group geodesic laminations geometric classification geometric group theory geometric intersection number geometric operation geometry harmonic maps holomorphic quadratic differential homeomorphism homological criterion homotopy hyperbolic geometry hyperbolic plane hyperbolic structure hyperbolic surface inclusion homomorphism infinity intersection number isotopy lantern relation low-dimensional homology mapping class group mapping torus measured foliation space measured foliations metric geometry moduli space orbifold orbit outer automorphism group pseudo-Anosov homeomorphism punctured disk quasi-isometry quasiconformal map second homology group simple closed curve simplicial complex stretch factors surface bundles surface homeomorphism surface symplectic representation topology torsion torus train track |
| ISBN |
1-283-22743-6
9786613227430 1-4008-3904-1 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory. |
| Record Nr. | UNINA-9910461382703321 |
|
Farb Benson
|
||
| Princeton, N.J., : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit
| A primer on mapping class groups [[electronic resource] /] / Benson Farb and Dan Margalit |
| Autore | Farb Benson |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (489 p.) |
| Disciplina | 512.7/4 |
| Altri autori (Persone) | MargalitDan <1976-> |
| Collana | Princeton mathematical series |
| Soggetto topico |
Mappings (Mathematics)
Class groups (Mathematics) |
| Soggetto non controllato |
3-manifold theory
Alexander method Birman exact sequence BirmanЈilden theorem Dehn twists DehnЌickorish theorem DehnЎielsenЂaer theorem Dennis Johnson Euler class FenchelЎielsen coordinates Gervais presentation Grtzsch's problem Johnson homomorphism Markov partitions Meyer signature cocycle Mod(S) Nielsen realization theorem NielsenДhurston classification theorem NielsenДhurston classification Riemann surface Teichmller mapping Teichmller metric Teichmller space Thurston compactification Torelli group Wajnryb presentation algebraic integers algebraic intersection number algebraic relations algebraic structure annulus aspherical manifold bigon criterion braid group branched cover capping homomorphism classifying space closed surface collar lemma compactness criterion complex of curves configuration space conjugacy class coordinates principle cutting homomorphism cyclic subgroup diffeomorphism disk existence theorem extended mapping class group finite index finite subgroup finite-order homeomorphism finite-order mapping class first homology group geodesic laminations geometric classification geometric group theory geometric intersection number geometric operation geometry harmonic maps holomorphic quadratic differential homeomorphism homological criterion homotopy hyperbolic geometry hyperbolic plane hyperbolic structure hyperbolic surface inclusion homomorphism infinity intersection number isotopy lantern relation low-dimensional homology mapping class group mapping torus measured foliation space measured foliations metric geometry moduli space orbifold orbit outer automorphism group pseudo-Anosov homeomorphism punctured disk quasi-isometry quasiconformal map second homology group simple closed curve simplicial complex stretch factors surface bundles surface homeomorphism surface symplectic representation topology torsion torus train track |
| ISBN |
1-283-22743-6
9786613227430 1-4008-3904-1 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory. |
| Record Nr. | UNINA-9910789789803321 |
|
Farb Benson
|
||
| Princeton, N.J., : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A primer on mapping class groups / / Benson Farb and Dan Margalit
| A primer on mapping class groups / / Benson Farb and Dan Margalit |
| Autore | Farb Benson |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (489 p.) |
| Disciplina | 512.7/4 |
| Altri autori (Persone) | MargalitDan <1976-> |
| Collana | Princeton mathematical series |
| Soggetto topico |
Mappings (Mathematics)
Class groups (Mathematics) |
| Soggetto non controllato |
3-manifold theory
Alexander method Birman exact sequence BirmanЈilden theorem Dehn twists DehnЌickorish theorem DehnЎielsenЂaer theorem Dennis Johnson Euler class FenchelЎielsen coordinates Gervais presentation Grtzsch's problem Johnson homomorphism Markov partitions Meyer signature cocycle Mod(S) Nielsen realization theorem NielsenДhurston classification theorem NielsenДhurston classification Riemann surface Teichmller mapping Teichmller metric Teichmller space Thurston compactification Torelli group Wajnryb presentation algebraic integers algebraic intersection number algebraic relations algebraic structure annulus aspherical manifold bigon criterion braid group branched cover capping homomorphism classifying space closed surface collar lemma compactness criterion complex of curves configuration space conjugacy class coordinates principle cutting homomorphism cyclic subgroup diffeomorphism disk existence theorem extended mapping class group finite index finite subgroup finite-order homeomorphism finite-order mapping class first homology group geodesic laminations geometric classification geometric group theory geometric intersection number geometric operation geometry harmonic maps holomorphic quadratic differential homeomorphism homological criterion homotopy hyperbolic geometry hyperbolic plane hyperbolic structure hyperbolic surface inclusion homomorphism infinity intersection number isotopy lantern relation low-dimensional homology mapping class group mapping torus measured foliation space measured foliations metric geometry moduli space orbifold orbit outer automorphism group pseudo-Anosov homeomorphism punctured disk quasi-isometry quasiconformal map second homology group simple closed curve simplicial complex stretch factors surface bundles surface homeomorphism surface symplectic representation topology torsion torus train track |
| ISBN |
1-283-22743-6
9786613227430 1-4008-3904-1 |
| Classificazione | SK 260 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Mapping class groups -- pt. 2. Teichmüller space and moduli space -- pt. 3. The classification and pseudo-Anosov theory. |
| Record Nr. | UNINA-9910806118003321 |
|
Farb Benson
|
||
| Princeton, N.J., : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||