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Advances in Differential Dynamical Systems with Applications to Economics and Biology
| Advances in Differential Dynamical Systems with Applications to Economics and Biology |
| Autore | Neamțu Mihaela |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (302 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
dynamical systems
time delay stability bifurcation analysis in economic and biological systems chaotic behaviors fractional order systems numerical methods economic modeling infection modeling epidemic spreading blood flow models optimal control reaction&ndash diffusion systems |
| ISBN | 3-0365-5866-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910639990303321 |
Neamțu Mihaela
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Approximate Bayesian Inference
| Approximate Bayesian Inference |
| Autore | Alquier Pierre |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (508 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
bifurcation
dynamical systems Edward–Sokal coupling mean-field Kullback–Leibler divergence variational inference Bayesian statistics machine learning variational approximations PAC-Bayes expectation-propagation Markov chain Monte Carlo Langevin Monte Carlo sequential Monte Carlo Laplace approximations approximate Bayesian computation Gibbs posterior MCMC stochastic gradients neural networks Approximate Bayesian Computation differential evolution Markov kernels discrete state space ergodicity Markov chain probably approximately correct variational Bayes Bayesian inference Markov Chain Monte Carlo Sequential Monte Carlo Riemann Manifold Hamiltonian Monte Carlo integrated nested laplace approximation fixed-form variational Bayes stochastic volatility network modeling network variability Stiefel manifold MCMC-SAEM data imputation Bethe free energy factor graphs message passing variational free energy variational message passing approximate Bayesian computation (ABC) differential privacy (DP) sparse vector technique (SVT) Gaussian particle flow variable flow Langevin dynamics Hamilton Monte Carlo non-reversible dynamics control variates thinning meta-learning hyperparameters priors online learning online optimization gradient descent statistical learning theory PAC–Bayes theory deep learning generalisation bounds Bayesian sampling Monte Carlo integration PAC-Bayes theory no free lunch theorems sequential learning principal curves data streams regret bounds greedy algorithm sleeping experts entropy robustness statistical mechanics complex systems |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910576874903321 |
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Alquier Pierre
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Biomolecular Feedback Systems / / Richard M. Murray, Domitilla Del Vecchio
| Biomolecular Feedback Systems / / Richard M. Murray, Domitilla Del Vecchio |
| Autore | Del Vecchio Domitilla |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2014] |
| Descrizione fisica | 1 online resource (287 p.) |
| Disciplina | 612.8233 |
| Soggetto topico |
Biological control systems
Systems biology |
| Soggetto non controllato |
CLE
CME E. coli FPE FokkerАlanck equation IFFL activatorвepressor clock bacterial chemotaxis basic modeling formalisms basic probability biological circuits biological mechanisms biological noise biological oscillations biological systems biomolecular feedback systems biomolecular reactions biomolecular systems cellular resources chemical Langevin equation chemical master equation circuit behavior control theory core processes design tradeoffs deterministic models differential equations dynamical systems theory dynamical systems engineering solutions equilibria equilibrium points feedback control theory feedback principles gene circuits host organism incoherent feedforward loop independent circuits interconnecting components limit cycles loading effects mean behavior modeling formalism modular interconnection of circuits negative autoregulation noise amplification parameter uncertainty reaction-rate equation repressilator retroactivity attenuation robustness signal transduction circuits simple dynamical models stochastic behavior stochastic modeling stochastic models stochastic processes synthetic biology synthetic circuits systems biology time scales toggle switch |
| ISBN | 1-4008-5050-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introductory Concepts -- Chapter 2. Dynamic Modeling of Core Processes -- Chapter 3. Analysis of Dynamic Behavior -- Chapter 4. Stochastic Modeling and Analysis -- Chapter 5. Biological Circuit Components -- Chapter 6. Interconnecting Components -- Chapter 7. Design Tradeoffs -- Bibliography -- Index |
| Record Nr. | UNINA-9910832978603321 |
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Del Vecchio Domitilla
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| Princeton, NJ : , : Princeton University Press, , [2014] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Finite-Time Thermodynamics
| Finite-Time Thermodynamics |
| Autore | Berry R. Stephen |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (368 p.) |
| Soggetto topico | Economics, finance, business & management |
| Soggetto non controllato |
macroentropy
microentropy endoreversible engine reversible computing Landauer's principle piston motion optimization endoreversible thermodynamics stirling engine irreversibility power efficiency optimization generalized radiative heat transfer law optimal motion path maximum work output elimination method finite time thermodynamics thermodynamics economics optimal processes averaged heat transfer cyclic mode simulation modeling reconstruction nonequilibrium thermodynamics entropy production contact temperature quantum thermodynamics maximum power shortcut to adiabaticity quantum friction Otto cycle quantum engine quantum refrigerator finite-time thermodynamics sulfuric acid decomposition tubular plug-flow reactor entropy generation rate SO2 yield multi-objective optimization optimal control thermodynamic cycles thermodynamic length hydrogen atom nano-size engines a-thermal cycle heat engines cooling very long timescales slow time ideal gas law new and modified variables Silicon-Germanium alloys minimum of thermal conductivity efficiency of thermoelectric systems minimal energy dissipation radiative energy transfer radiative entropy transfer two-stream grey atmosphere energy flux density entropy flux density generalized winds conservatively perturbed equilibrium extreme value momentary equilibrium information geometry of thermodynamics thermodynamic curvature critical phenomena binary fluids van der Waals equation quantum heat engine carnot cycle otto cycle multiobjective optimization Pareto front stability maximum power regime entropy behavior biophysics biochemistry dynamical systems diversity complexity path information calorimetry entropy flow biological communities reacting systems |
| ISBN | 3-0365-4950-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910619468303321 |
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Berry R. Stephen
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| MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Food webs [[electronic resource] /] / Kevin S. McCann
| Food webs [[electronic resource] /] / Kevin S. McCann |
| Autore | McCann Kevin S (Kevin Shear), <1964-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (389 p.) |
| Disciplina | 577/.16 |
| Collana | Monographs in population biology |
| Soggetto topico |
Food chains (Ecology)
Biotic communities |
| Soggetto genere / forma | Electronic books. |
| Soggetto non controllato |
Canadian Shield
Gershgorin discs Hopf bifurcation Robert Holt adaptive behavior alternative stable states aquatic microcosm asynchrony bifurcation bird feeder effect body size competition consumers consumerвesource dynamics consumerвesource interactions consumerвesource models consumerвesource theory continuous logistic growth models detritus diamond food web discrete equations dynamical systems theory dynamical systems ecological instability ecological stability ecological systems ecosystem collapse ecosystem dynamics ecosystem size ecosystem stability ecosystems eigenvalue equilibrium steady state equilibrium excitable interactions food chains food web structure food web theory food webs foraging generalism generalists grazing habitat human impacts interaction strength intraguild predation model lags lake trout local stability analysis matrix theory microcosm experiments mobile adaptive predators modular theory module motif natural ecosystems nature nonequilibrium dynamics nonequilibrium steady state nonexcitable interactions nutrient decomposition nutrient recycling nutrients omnivory oscillation oscillatory decay phase space population dynamics population growth population models population structure populations resources space species stage structure stage-structured lags subsidies subsystems sustainability time series trade-offs traits whole-community approach whole-system matrix |
| ISBN |
1-283-29071-5
9786613290717 1-4008-4068-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Part 1. The Problem and the Approach -- CHAPTER ONE. The Balance of Nature: What Is It and Why Care? -- CHAPTER TWO. A Primer for Dynamical Systems -- CHAPTER THREE. Of Modules, Motifs, and Whole Webs -- Part 2. Food Web Modules: From Populations to Small Food Webs -- CHAPTER FOUR. Excitable and Nonexcitable Population Dynamics -- CHAPTER FIVE. Consumer-Resource Dynamics: Building Consumptive Food Webs -- CHAPTER SIX. Lagged Consumer-Resource Dynamics -- CHAPTER SEVEN. Food Chains and Omnivory -- CHAPTER EIGHT. More Modules -- Part 3. Toward Whole Systems -- CHAPTER NINE. Coupling Modules in Space: A Landscape Theory -- CHAPTER TEN. Classic Food Web Theory -- CHAPTER ELEVEN. Adding the Ecosystem -- CHAPTER TWELVE. Food Webs as Complex Adaptive Systems -- Bibliography -- Index |
| Record Nr. | UNINA-9910461569803321 |
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McCann Kevin S (Kevin Shear), <1964->
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| Princeton, NJ, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Food webs [[electronic resource] /] / Kevin S. McCann
| Food webs [[electronic resource] /] / Kevin S. McCann |
| Autore | McCann Kevin S (Kevin Shear), <1964-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (389 p.) |
| Disciplina | 577/.16 |
| Collana | Monographs in population biology |
| Soggetto topico |
Food chains (Ecology)
Biotic communities |
| Soggetto non controllato |
Canadian Shield
Gershgorin discs Hopf bifurcation Robert Holt adaptive behavior alternative stable states aquatic microcosm asynchrony bifurcation bird feeder effect body size competition consumers consumerвesource dynamics consumerвesource interactions consumerвesource models consumerвesource theory continuous logistic growth models detritus diamond food web discrete equations dynamical systems theory dynamical systems ecological instability ecological stability ecological systems ecosystem collapse ecosystem dynamics ecosystem size ecosystem stability ecosystems eigenvalue equilibrium steady state equilibrium excitable interactions food chains food web structure food web theory food webs foraging generalism generalists grazing habitat human impacts interaction strength intraguild predation model lags lake trout local stability analysis matrix theory microcosm experiments mobile adaptive predators modular theory module motif natural ecosystems nature nonequilibrium dynamics nonequilibrium steady state nonexcitable interactions nutrient decomposition nutrient recycling nutrients omnivory oscillation oscillatory decay phase space population dynamics population growth population models population structure populations resources space species stage structure stage-structured lags subsidies subsystems sustainability time series trade-offs traits whole-community approach whole-system matrix |
| ISBN |
1-283-29071-5
9786613290717 1-4008-4068-6 |
| Classificazione | SCI020000SCI008000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Part 1. The Problem and the Approach -- CHAPTER ONE. The Balance of Nature: What Is It and Why Care? -- CHAPTER TWO. A Primer for Dynamical Systems -- CHAPTER THREE. Of Modules, Motifs, and Whole Webs -- Part 2. Food Web Modules: From Populations to Small Food Webs -- CHAPTER FOUR. Excitable and Nonexcitable Population Dynamics -- CHAPTER FIVE. Consumer-Resource Dynamics: Building Consumptive Food Webs -- CHAPTER SIX. Lagged Consumer-Resource Dynamics -- CHAPTER SEVEN. Food Chains and Omnivory -- CHAPTER EIGHT. More Modules -- Part 3. Toward Whole Systems -- CHAPTER NINE. Coupling Modules in Space: A Landscape Theory -- CHAPTER TEN. Classic Food Web Theory -- CHAPTER ELEVEN. Adding the Ecosystem -- CHAPTER TWELVE. Food Webs as Complex Adaptive Systems -- Bibliography -- Index |
| Record Nr. | UNINA-9910789719303321 |
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McCann Kevin S (Kevin Shear), <1964->
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| Princeton, NJ, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Food webs [[electronic resource] /] / Kevin S. McCann
| Food webs [[electronic resource] /] / Kevin S. McCann |
| Autore | McCann Kevin S (Kevin Shear), <1964-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, NJ, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (389 p.) |
| Disciplina | 577/.16 |
| Collana | Monographs in population biology |
| Soggetto topico |
Food chains (Ecology)
Biotic communities |
| Soggetto non controllato |
Canadian Shield
Gershgorin discs Hopf bifurcation Robert Holt adaptive behavior alternative stable states aquatic microcosm asynchrony bifurcation bird feeder effect body size competition consumers consumerвesource dynamics consumerвesource interactions consumerвesource models consumerвesource theory continuous logistic growth models detritus diamond food web discrete equations dynamical systems theory dynamical systems ecological instability ecological stability ecological systems ecosystem collapse ecosystem dynamics ecosystem size ecosystem stability ecosystems eigenvalue equilibrium steady state equilibrium excitable interactions food chains food web structure food web theory food webs foraging generalism generalists grazing habitat human impacts interaction strength intraguild predation model lags lake trout local stability analysis matrix theory microcosm experiments mobile adaptive predators modular theory module motif natural ecosystems nature nonequilibrium dynamics nonequilibrium steady state nonexcitable interactions nutrient decomposition nutrient recycling nutrients omnivory oscillation oscillatory decay phase space population dynamics population growth population models population structure populations resources space species stage structure stage-structured lags subsidies subsystems sustainability time series trade-offs traits whole-community approach whole-system matrix |
| ISBN |
1-283-29071-5
9786613290717 1-4008-4068-6 |
| Classificazione | SCI020000SCI008000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Part 1. The Problem and the Approach -- CHAPTER ONE. The Balance of Nature: What Is It and Why Care? -- CHAPTER TWO. A Primer for Dynamical Systems -- CHAPTER THREE. Of Modules, Motifs, and Whole Webs -- Part 2. Food Web Modules: From Populations to Small Food Webs -- CHAPTER FOUR. Excitable and Nonexcitable Population Dynamics -- CHAPTER FIVE. Consumer-Resource Dynamics: Building Consumptive Food Webs -- CHAPTER SIX. Lagged Consumer-Resource Dynamics -- CHAPTER SEVEN. Food Chains and Omnivory -- CHAPTER EIGHT. More Modules -- Part 3. Toward Whole Systems -- CHAPTER NINE. Coupling Modules in Space: A Landscape Theory -- CHAPTER TEN. Classic Food Web Theory -- CHAPTER ELEVEN. Adding the Ecosystem -- CHAPTER TWELVE. Food Webs as Complex Adaptive Systems -- Bibliography -- Index |
| Record Nr. | UNINA-9910820087003321 |
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McCann Kevin S (Kevin Shear), <1964->
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| Princeton, NJ, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional Calculus Operators and the Mittag-Leffler Function
| Fractional Calculus Operators and the Mittag-Leffler Function |
| Autore | Andrić Maja |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 electronic resource (258 p.) |
| Soggetto topico |
Research & information: general
Mathematics & science |
| Soggetto non controllato |
fractional derivative
generalized Mittag-Leffler kernel (GMLK) Legendre polynomials Legendre spectral collocation method dynamical systems random time change inverse subordinator asymptotic behavior Mittag-Leffler function data fitting magnetization magnetic fluids Gamma function Psi function Pochhammer symbol hypergeometric function 2F1 generalized hypergeometric functions tFu Gauss's summation theorem for 2F1(1) Kummer's summation theorem for 2F1(−1) generalized Kummer's summation theorem for 2F1(−1) Stirling numbers of the first kind Hilfer-Hadamard fractional derivative Riemann-Liouville fractional derivative Caputo fractional derivative fractional differential equations inclusions nonlocal boundary conditions existence and uniqueness fixed point gamma function Beta function Generalized Mittag-Leffler functions generalized hypergeometric function Fox-Wright function recurrence relations Riemann-Liouville fractional calculus operators (α, h-m)-p-convex function Fejér-Hadamard inequality extended generalized fractional integrals Mittag-Leffler functions initial value problems Laplace transform exact solution Chebyshev inequality Pólya-Szegö inequality fractional integral operators Wright function Srivastava's polynomials fractional calculus operators Lavoie-Trottier integral formula Oberhettinger integral formula fractional partial differential equation boundary value problem separation of variables Mittag-Leffler Abel-Gontscharoff Green's function Hermite-Hadamard inequalities convex function κ-Riemann-Liouville fractional integral Dirichlet averages B-splines dirichlet splines Riemann-Liouville fractional integrals hypergeometric functions of one and several variables generalized Mittag-Leffler type function Srivastava-Daoust generalized Lauricella hypergeometric function fractional calculus Hermite-Hadamard inequality Fox H function subordinator and inverse stable subordinator Lamperti law order statistic |
| ISBN | 3-0365-5368-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910619461803321 |
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Andrić Maja
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| MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| 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 | ||
| ||
