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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 | ||
| ||
Human Health Engineering Volume II
| Human Health Engineering Volume II |
| Autore | Aerts Jean Marie |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (196 p.) |
| Soggetto topico | Technology: general issues |
| Soggetto non controllato |
vibratory stimulation device
local muscle vibration proprioceptors low back pain response frequency postural control Vater-Pacini corpuscles electroencephalography deep learning driving fatigue feature extraction convolutional neural network rehabilitation robotics technological devices upper limb impairment organizational model inkjet printing respiratory rate strain gauge stretchable and wearable sensors silver nanoparticles clinical evaluation body posture upper limb rehabilitation serious games haptic feedback electromyography sensors virtual reality smoothness wearable sensors gait analysis stumbling plantar visualization remote fetal monitor measurement uncertainty standard deviation Monte-Carlo method (MMC) efficient estimator automated assessment UE-FMA pinch force pulling force slip onset stroke anorexia nervosa electrodermal activity time-domain analysis frequency-domain analysis nonlinear analysis virtual reality exposure therapy driving phobia post-traumatic stress disorder physiological signal piezo-fluid-structural coupled simulation APS valveless micropump closed-loop insulin pump Individual verification Electrocardiogram (ECG) Interval based LDA biometrics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557392603321 |
|
Aerts Jean Marie
|
||
| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
| Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
| Autore | Hrushovski Ehud |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 512.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Tame algebras |
| Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
| ISBN | 1-4008-8122-6 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
| Record Nr. | UNINA-9910797708403321 |
|
Hrushovski Ehud
|
||
| Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser
| Non-archimedean tame topology and stably dominated types / / Ehud Hrushovski, François Loeser |
| Autore | Hrushovski Ehud |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 512.4 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Tame algebras |
| Soggetto non controllato |
Abhyankar property
Berkovich space Galois orbit Riemann-Roch Zariski dense open set Zariski open subset Zariski topology algebraic geometry algebraic variety algebraically closed valued field analytic geometry birational invariant canonical extension connectedness continuity criteria continuous definable map continuous map curve fibration definable compactness definable function definable homotopy type definable set definable space definable subset definable topological space definable topology definable type definably compact set deformation retraction finite simplicial complex finite-dimensional vector space forward-branching point fundamental space g-continuity g-continuous g-open set germ good metric homotopy equivalence homotopy imaginary base set ind-definable set ind-definable subset inflation homotopy inflation inverse limit iso-definability iso-definable set iso-definable subset iterated place linear topology main theorem model theory morphism natural functor non-archimedean geometry non-archimedean tame topology o-minimal formulation o-minimality orthogonality path pro-definable bijection pro-definable map pro-definable set pro-definable subset pseudo-Galois covering real numbers relatively compact set residue field extension retraction schematic distance semi-lattice sequence smooth case smoothness stability theory stable completion stable domination stably dominated point stably dominated type stably dominated strong stability substructure topological embedding topological space topological structure topology transcendence degree v-continuity valued field Γ-internal set Γ-internal space Γ-internal subset |
| ISBN | 1-4008-8122-6 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- 1. Introduction -- 2. Preliminaries -- 3. The space v̂ of stably dominated types -- 4. Definable compactness -- 5. A closer look at the stable completion -- 6. Γ-internal spaces -- 7. Curves -- 8. Strongly stably dominated points -- 9. Specializations and ACV2F -- 10. Continuity of homotopies -- 11. The main theorem -- 12. The smooth case -- 13. An equivalence of categories -- 14. Applications to the topology of Berkovich spaces -- Bibliography -- Index -- List of notations |
| Record Nr. | UNINA-9910822032303321 |
|
Hrushovski Ehud
|
||
| Princeton, New Jersey ; ; Oxford, [England] : , : Princeton University Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wearables for Movement Analysis in Healthcare
| Wearables for Movement Analysis in Healthcare |
| Autore | Capodaglio Paolo |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (252 p.) |
| Soggetto topico |
Research & information: general
Biology, life sciences Biochemistry |
| Soggetto non controllato |
gait
smoothness older adults accelerometer inertial measurement unit (IMU) upper extremity stroke biomechanical phenomena kinematics inertial measurement systems motion analysis wearable devices e-textile gait analysis m-health plantar pressure validation Internet of Things body sensor network inertial sensors ground reaction force spatio-temporal parameters wearable sensors decision trees foot drop stimulation symmetry inertial measurement sensor wearable inertial sensors marker-based optoelectronic system ACL rehabilitation motion capture validation upper limb Parkinson's disease Box and Block test inertial sensors network biomechanics analysis kinematic data hand trajectories kinematic inertial measurement units angle-angle diagrams cyclograms obesity bradykinesia real-life naturalistic monitoring motor fluctuation wearable movement sensor IMU motion capture reliability clinical orthopedic sensory-motor gait disorders limb prosthesis spatial-temporal analysis symmetry index walking 6-min walking test wearable system inertial sensor RGB-D sensors optoelectronic system movement analysis hemiparesis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910576872303321 |
|
Capodaglio Paolo
|
||
| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||