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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 | ||
| ||
Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima
| Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima |
| Autore | Chen Zhen-Qing |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (496 p.) |
| Disciplina | 519.233 |
| Altri autori (Persone) | FukushimaMasatoshi |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Markov processes
Boundary value problems Dirichlet problem |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
Beurling-Deny decomposition
Beurling-Deny formula Brownian motions Dirichlet forms Dirichlet spaces Douglas integrals Feller measures Hausdorff topological space Markov processes Markovian symmetric operators Silverstein extension additive functional theory additive functionals analytic concepts analytic potential theory boundary theory countable boundary decompositions energy functional extended Dirichlet spaces fine properties harmonic functions harmonicity hitting distributions irreducibility lateral condition local properties m-tight special Borel many-point extensions one-point extensions part processes path behavior perturbed Dirichlet forms positive continuous additive functionals probabilistic derivation probabilistic potential theory quasi properties quasi-homeomorphism quasi-regular Dirichlet forms recurrence reflected Dirichlet spaces reflecting Brownian motions reflecting extensions regular Dirichlet forms regular recurrent Dirichlet forms smooth measures symmetric Hunt processes symmetric Markov processes symmetric Markovian semigroups terminal random variables time change theory time changes time-changed process transience transient regular Dirichlet forms |
| ISBN |
1-283-29094-4
9786613290946 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Notation -- Preface -- Chapter One. Symmetric Markovian Semigroups and Dirichlet Forms -- Chapter Two. Basic Properties and Examples of Dirichlet Forms -- Chapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms -- Chapter Four. Additive Functionals of Symmetric Markov Processes -- Chapter Five. Time Changes of Symmetric Markov Processes -- Chapter Six. Reflected Dirichlet Spaces -- Chapter Seven. Boundary Theory for Symmetric Markov Processes -- Appendix A. Essentials of Markov Processes -- Appendix B. Solutions To Exercises -- Notes -- Bibliography -- Catalogue Of Some Useful Theorems -- Index |
| Record Nr. | UNINA-9910461568703321 |
|
Chen Zhen-Qing
|
||
| Princeton, N.J., : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima
| Symmetric Markov processes, time change, and boundary theory [[electronic resource] /] / Zhen-Qing Chen, Masatoshi Fukushima |
| Autore | Chen Zhen-Qing |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (496 p.) |
| Disciplina | 519.233 |
| Altri autori (Persone) | FukushimaMasatoshi |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Markov processes
Boundary value problems Dirichlet problem |
| Soggetto non controllato |
Beurling-Deny decomposition
Beurling-Deny formula Brownian motions Dirichlet forms Dirichlet spaces Douglas integrals Feller measures Hausdorff topological space Markov processes Markovian symmetric operators Silverstein extension additive functional theory additive functionals analytic concepts analytic potential theory boundary theory countable boundary decompositions energy functional extended Dirichlet spaces fine properties harmonic functions harmonicity hitting distributions irreducibility lateral condition local properties m-tight special Borel many-point extensions one-point extensions part processes path behavior perturbed Dirichlet forms positive continuous additive functionals probabilistic derivation probabilistic potential theory quasi properties quasi-homeomorphism quasi-regular Dirichlet forms recurrence reflected Dirichlet spaces reflecting Brownian motions reflecting extensions regular Dirichlet forms regular recurrent Dirichlet forms smooth measures symmetric Hunt processes symmetric Markov processes symmetric Markovian semigroups terminal random variables time change theory time changes time-changed process transience transient regular Dirichlet forms |
| ISBN |
1-283-29094-4
9786613290946 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Notation -- Preface -- Chapter One. Symmetric Markovian Semigroups and Dirichlet Forms -- Chapter Two. Basic Properties and Examples of Dirichlet Forms -- Chapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms -- Chapter Four. Additive Functionals of Symmetric Markov Processes -- Chapter Five. Time Changes of Symmetric Markov Processes -- Chapter Six. Reflected Dirichlet Spaces -- Chapter Seven. Boundary Theory for Symmetric Markov Processes -- Appendix A. Essentials of Markov Processes -- Appendix B. Solutions To Exercises -- Notes -- Bibliography -- Catalogue Of Some Useful Theorems -- Index |
| Record Nr. | UNINA-9910789724903321 |
|
Chen Zhen-Qing
|
||
| Princeton, N.J., : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Symmetric Markov processes, time change, and boundary theory / / Zhen-Qing Chen, Masatoshi Fukushima
| Symmetric Markov processes, time change, and boundary theory / / Zhen-Qing Chen, Masatoshi Fukushima |
| Autore | Chen Zhen-Qing |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2011 |
| Descrizione fisica | 1 online resource (496 p.) |
| Disciplina | 519.233 |
| Altri autori (Persone) | FukushimaMasatoshi |
| Collana | London Mathematical Society monographs |
| Soggetto topico |
Markov processes
Boundary value problems Dirichlet problem |
| Soggetto non controllato |
Beurling-Deny decomposition
Beurling-Deny formula Brownian motions Dirichlet forms Dirichlet spaces Douglas integrals Feller measures Hausdorff topological space Markov processes Markovian symmetric operators Silverstein extension additive functional theory additive functionals analytic concepts analytic potential theory boundary theory countable boundary decompositions energy functional extended Dirichlet spaces fine properties harmonic functions harmonicity hitting distributions irreducibility lateral condition local properties m-tight special Borel many-point extensions one-point extensions part processes path behavior perturbed Dirichlet forms positive continuous additive functionals probabilistic derivation probabilistic potential theory quasi properties quasi-homeomorphism quasi-regular Dirichlet forms recurrence reflected Dirichlet spaces reflecting Brownian motions reflecting extensions regular Dirichlet forms regular recurrent Dirichlet forms smooth measures symmetric Hunt processes symmetric Markov processes symmetric Markovian semigroups terminal random variables time change theory time changes time-changed process transience transient regular Dirichlet forms |
| ISBN |
1-283-29094-4
9786613290946 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Notation -- Preface -- Chapter One. Symmetric Markovian Semigroups and Dirichlet Forms -- Chapter Two. Basic Properties and Examples of Dirichlet Forms -- Chapter Three. Symmetric Hunt Processes and Regular Dirichlet Forms -- Chapter Four. Additive Functionals of Symmetric Markov Processes -- Chapter Five. Time Changes of Symmetric Markov Processes -- Chapter Six. Reflected Dirichlet Spaces -- Chapter Seven. Boundary Theory for Symmetric Markov Processes -- Appendix A. Essentials of Markov Processes -- Appendix B. Solutions To Exercises -- Notes -- Bibliography -- Catalogue Of Some Useful Theorems -- Index |
| Record Nr. | UNINA-9910820086603321 |
|
Chen Zhen-Qing
|
||
| Princeton, N.J., : Princeton University Press, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||