Chaotic transitions in deterministic and stochastic dynamical systems : applications of Melnikov processes in engineering, physics, and neuroscience / / Emil Simiu |
Autore | Simiu Emil |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2002 |
Descrizione fisica | 1 online resource (244 p.) |
Disciplina | 515/.352 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Differentiable dynamical systems
Chaotic behavior in systems Stochastic systems |
Soggetto non controllato |
Affine transformation
Amplitude Arbitrarily large Attractor Autocovariance Big O notation Central limit theorem Change of variables Chaos theory Coefficient of variation Compound Probability Computational problem Control theory Convolution Coriolis force Correlation coefficient Covariance function Cross-covariance Cumulative distribution function Cutoff frequency Deformation (mechanics) Derivative Deterministic system Diagram (category theory) Diffeomorphism Differential equation Dirac delta function Discriminant Dissipation Dissipative system Dynamical system Eigenvalues and eigenvectors Equations of motion Even and odd functions Excitation (magnetic) Exponential decay Extreme value theory Flow velocity Fluid dynamics Forcing (recursion theory) Fourier series Fourier transform Fractal dimension Frequency domain Gaussian noise Gaussian process Harmonic analysis Harmonic function Heteroclinic orbit Homeomorphism Homoclinic orbit Hyperbolic point Inference Initial condition Instability Integrable system Invariant manifold Iteration Joint probability distribution LTI system theory Limit cycle Linear differential equation Logistic map Marginal distribution Moduli (physics) Multiplicative noise Noise (electronics) Nonlinear control Nonlinear system Ornstein–Uhlenbeck process Oscillation Parameter space Parameter Partial differential equation Perturbation function Phase plane Phase space Poisson distribution Probability density function Probability distribution Probability theory Probability Production–possibility frontier Relative velocity Scale factor Shear stress Spectral density Spectral gap Standard deviation Stochastic process Stochastic resonance Stochastic Stream function Surface stress Symbolic dynamics The Signal and the Noise Topological conjugacy Transfer function Variance Vorticity |
ISBN |
0-691-05094-5
1-4008-3250-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Introduction -- PART 1. FUNDAMENTALS -- Chapter 2. Transitions in Deterministic Systems and the Melnikov Function -- Chapter 3. Chaos in Deterministic Systems and the Melnikov Function -- Chapter 4. Stochastic Processes -- Chapter 5. Chaotic Transitions in Stochastic Dynamical Systems and the Melnikov Process -- PART 2. APPLICATIONS -- Chapter 6. Vessel Capsizing -- Chapter 7. Open-Loop Control of Escapes in Stochastically Excited Systems -- Chapter 8. Stochastic Resonance -- Chapter 9. Cutoff Frequency of Experimentally Generated Noise for a First-Order Dynamical System -- Chapter 10. Snap-Through of Transversely Excited Buckled Column -- Chapter 11. Wind-Induced Along-Shore Currents over a Corrugated Ocean Floor -- Chapter 12. The Auditory Nerve Fiber as a Chaotic Dynamical System -- Appendix A1 Derivation of Expression for the Melnikov Function -- Appendix A2 Construction of Phase Space Slice through Stable and Unstable Manifolds -- Appendix A3 Topological Conjugacy -- Appendix A4 Properties of Space ∑2 -- Appendix A5 Elements of Probability Theory -- Appendix A6 Mean Upcrossing Rate τu-1 for Gaussian Processes -- Appendix A7 Mean Escape Rate τ∊-1 for Systems Excited by White Noise -- References -- Index |
Record Nr. | UNINA-9910827211303321 |
Simiu Emil | ||
Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Constructive Analysis / E. Bishop, D. Bridges |
Autore | Bishop, Errett |
Pubbl/distr/stampa | Berlin, : Springer, 1985 |
Descrizione fisica | xii, 477 p. ; 24 cm |
Altri autori (Persone) | Bridges, Douglas S. |
Soggetto topico |
03-XX - Mathematical logic and foundations [MSC 2020]
28-XX - Measure and integration [MSC 2020] 28C10 - Set functions and measures on topological groups, Haar measures, invariant measures [MSC 2020] 28C05 - Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures [MSC 2020] 03F65 - Other constructive mathematics [MSC 2020] 03F60 - Constructive and recursive analysis [MSC 2020] 46S30 - Constructive functional analysis [MSC 2020] |
Soggetto non controllato |
Analysis
Banach algebra Boundary Element Methods Constructive mathematics Convolution Hilbert spaces Set Theory Sets Time |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0263476 |
Bishop, Errett | ||
Berlin, : Springer, 1985 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Constructive Theory of Functions of Several Variables : Proceedings of a Conference Held at Oberwolfach, April 25-May 1, 1976 / edited by Walter Schempp, Karl Zeller |
Pubbl/distr/stampa | Berlin, : Springer, 1977 |
Descrizione fisica | vi, 294 p. ; 24 cm |
Soggetto topico |
00Bxx - Conference proceedings and collections of articles [MSC 2020]
41-XX - Approximations and expansions [MSC 2020] |
Soggetto non controllato |
Constructive function theory
Convolution Functions Invariants Manifolds Several Variables Variables |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0260333 |
Berlin, : Springer, 1977 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
Autore | Egerstedt Magnus |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 511/.42 |
Altri autori (Persone) | MartinClyde |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
Soggetto non controllato |
Accuracy and precision
Affine space Affine variety Algorithm Approximation Arbitrarily large B-spline Banach space Bernstein polynomial Bifurcation theory Big O notation Birkhoff interpolation Boundary value problem Bézier curve Chaos theory Computation Computational problem Condition number Constrained optimization Continuous function (set theory) Continuous function Control function (econometrics) Control theory Controllability Convex optimization Convolution Cubic Hermite spline Data set Derivative Differentiable function Differential equation Dimension (vector space) Directional derivative Discrete mathematics Dynamic programming Equation Estimation Filtering problem (stochastic processes) Gaussian quadrature Gradient descent Gramian matrix Growth curve (statistics) Hermite interpolation Hermite polynomials Hilbert projection theorem Hilbert space Initial condition Initial value problem Integral equation Iterative method Karush–Kuhn–Tucker conditions Kernel method Lagrange polynomial Law of large numbers Least squares Linear algebra Linear combination Linear filter Linear map Mathematical optimization Mathematics Maxima and minima Monotonic function Nonlinear programming Nonlinear system Normal distribution Numerical analysis Numerical stability Optimal control Optimization problem Ordinary differential equation Orthogonal polynomials Parameter Piecewise Pointwise Polynomial interpolation Polynomial Probability distribution Quadratic programming Random variable Rate of convergence Ratio test Riccati equation Simpson's rule Simultaneous equations Smoothing spline Smoothing Smoothness Special case Spline (mathematics) Spline interpolation Statistic Stochastic calculus Stochastic Telemetry Theorem Trapezoidal rule Waypoint Weight function Without loss of generality |
ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
Classificazione | SK 880 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
Record Nr. | UNINA-9910780863803321 |
Egerstedt Magnus | ||
Princeton, : Princeton University Press, c2010 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Control theoretic splines [[electronic resource] ] : optimal control, statistics, and path planning / / Magnus Egerstedt and Clyde Martin |
Autore | Egerstedt Magnus |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, c2010 |
Descrizione fisica | 1 online resource (227 p.) |
Disciplina | 511/.42 |
Altri autori (Persone) | MartinClyde |
Collana | Princeton series in applied mathematics |
Soggetto topico |
Interpolation
Smoothing (Numerical analysis) Smoothing (Statistics) Curve fitting Splines Spline theory |
Soggetto non controllato |
Accuracy and precision
Affine space Affine variety Algorithm Approximation Arbitrarily large B-spline Banach space Bernstein polynomial Bifurcation theory Big O notation Birkhoff interpolation Boundary value problem Bézier curve Chaos theory Computation Computational problem Condition number Constrained optimization Continuous function (set theory) Continuous function Control function (econometrics) Control theory Controllability Convex optimization Convolution Cubic Hermite spline Data set Derivative Differentiable function Differential equation Dimension (vector space) Directional derivative Discrete mathematics Dynamic programming Equation Estimation Filtering problem (stochastic processes) Gaussian quadrature Gradient descent Gramian matrix Growth curve (statistics) Hermite interpolation Hermite polynomials Hilbert projection theorem Hilbert space Initial condition Initial value problem Integral equation Iterative method Karush–Kuhn–Tucker conditions Kernel method Lagrange polynomial Law of large numbers Least squares Linear algebra Linear combination Linear filter Linear map Mathematical optimization Mathematics Maxima and minima Monotonic function Nonlinear programming Nonlinear system Normal distribution Numerical analysis Numerical stability Optimal control Optimization problem Ordinary differential equation Orthogonal polynomials Parameter Piecewise Pointwise Polynomial interpolation Polynomial Probability distribution Quadratic programming Random variable Rate of convergence Ratio test Riccati equation Simpson's rule Simultaneous equations Smoothing spline Smoothing Smoothness Special case Spline (mathematics) Spline interpolation Statistic Stochastic calculus Stochastic Telemetry Theorem Trapezoidal rule Waypoint Weight function Without loss of generality |
ISBN |
1-282-45796-9
1-282-93606-9 9786612936067 9786612457968 1-4008-3387-6 |
Classificazione | SK 880 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Control Systems and Minimum Norm Problems -- Chapter Three. Eight Fundamental Problems -- Chapter Four. Smoothing Splines and Generalizations -- Chapter Five. Approximations and Limiting Concepts -- Chapter Six. Smoothing Splines with Continuous Data -- Chapter Seven. Monotone Smoothing Splines -- Chapter Eight. Smoothing Splines as Integral Filters -- Chapter Nine. Optimal Transfer between Affine Varieties -- Chapter Ten. Path Planning and Telemetry -- Chapter Eleven. Node Selection -- Bibliography -- Index |
Record Nr. | UNINA-9910807652503321 |
Egerstedt Magnus | ||
Princeton, : Princeton University Press, c2010 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
Autore | Gorodnik Alexander <1975-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (136 p.) |
Disciplina | 515/.48 |
Altri autori (Persone) | NevoAmos <1966-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
Record Nr. | UNINA-9910781200803321 |
Gorodnik Alexander <1975-> | ||
Princeton, N.J., : Princeton University Press, 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The ergodic theory of lattice subgroups [[electronic resource] /] / Alexander Gorodnik and Amos Nevo |
Autore | Gorodnik Alexander <1975-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (136 p.) |
Disciplina | 515/.48 |
Altri autori (Persone) | NevoAmos <1966-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Ergodic theory
Lie groups Lattice theory Harmonic analysis Dynamics |
Soggetto non controllato |
Absolute continuity
Algebraic group Amenable group Asymptote Asymptotic analysis Asymptotic expansion Automorphism Borel set Bounded function Bounded operator Bounded set (topological vector space) Congruence subgroup Continuous function Convergence of random variables Convolution Coset Counting problem (complexity) Counting Differentiable function Dimension (vector space) Diophantine approximation Direct integral Direct product Discrete group Embedding Equidistribution theorem Ergodic theory Ergodicity Estimation Explicit formulae (L-function) Family of sets Haar measure Hilbert space Hyperbolic space Induced representation Infimum and supremum Initial condition Interpolation theorem Invariance principle (linguistics) Invariant measure Irreducible representation Isometry group Iwasawa group Lattice (group) Lie algebra Linear algebraic group Linear space (geometry) Lipschitz continuity Mass distribution Mathematical induction Maximal compact subgroup Maximal ergodic theorem Measure (mathematics) Mellin transform Metric space Monotonic function Neighbourhood (mathematics) Normal subgroup Number theory One-parameter group Operator norm Orthogonal complement P-adic number Parametrization Parity (mathematics) Pointwise convergence Pointwise Principal homogeneous space Principal series representation Probability measure Probability space Probability Rate of convergence Regular representation Representation theory Resolution of singularities Sobolev space Special case Spectral gap Spectral method Spectral theory Square (algebra) Subgroup Subsequence Subset Symmetric space Tensor algebra Tensor product Theorem Transfer principle Unit sphere Unit vector Unitary group Unitary representation Upper and lower bounds Variable (mathematics) Vector group Vector space Volume form Word metric |
ISBN |
1-282-30380-5
9786612303807 1-4008-3106-7 |
Classificazione | SI 830 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- Index |
Record Nr. | UNINA-9910825184303321 |
Gorodnik Alexander <1975-> | ||
Princeton, N.J., : Princeton University Press, 2009 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz |
Autore | Katz Nicholas M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (445 pages) : illustrations |
Disciplina | 512/.73 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Exponential sums
Differential equations |
Soggetto non controllato |
Adjoint representation
Algebraic geometry Algebraic integer Algebraically closed field Automorphism Base change Bernard Dwork Big O notation Bijection Calculation Characteristic polynomial Codimension Coefficient Cohomology Comparison theorem Complex manifold Conjugacy class Connected component (graph theory) Convolution Determinant Diagram (category theory) Differential Galois theory Differential equation Dimension (vector space) Dimension Direct sum Divisor Eigenvalues and eigenvectors Endomorphism Equation Euler characteristic Existential quantification Exponential sum Fiber bundle Field of fractions Finite field Formal power series Fourier transform Fundamental group Fundamental representation Galois extension Galois group Gauss sum Generic point Group theory Homomorphism Hypergeometric function Identity component Identity element Integer Irreducibility (mathematics) Irreducible representation Isogeny Isomorphism class L-function Laurent polynomial Lie algebra Logarithm Mathematical induction Matrix coefficient Maximal compact subgroup Maximal torus Mellin transform Monic polynomial Monodromy theorem Monodromy Monomial Natural number Normal subgroup P-adic number Permutation Polynomial Prime number Pullback Quotient group Reductive group Regular singular point Representation theory Ring homomorphism Root of unity Scientific notation Set (mathematics) Sheaf (mathematics) Special case Subcategory Subgroup Subring Subset Summation Surjective function Symmetric group Tensor product Theorem Theory Three-dimensional space (mathematics) Torsor (algebraic geometry) Trichotomy (mathematics) Unitarian trick Unitary group Variable (mathematics) |
ISBN | 1-4008-8243-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References |
Record Nr. | UNINA-9910154744703321 |
Katz Nicholas M. | ||
Princeton, NJ : , : Princeton University Press, , [2016] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Fourier Coefficients of Automorphic Forms / Roelof W. Bruggeman |
Autore | Bruggeman, Roelof W. |
Pubbl/distr/stampa | Berlin, : Springer, 1981 |
Descrizione fisica | vi, 206 p. ; 24 cm |
Soggetto non controllato |
Automorphic forms
Coefficients Convolution Fourier Fourier coefficients Groups Models Presentation Scala Shapes Spectral Theorem |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0261810 |
Bruggeman, Roelof W. | ||
Berlin, : Springer, 1981 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
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Fourier-Malliavin Volatility Estimation : Theory and Practice / Maria Elvira Mancino, Maria Cristina Recchioni, Simona Sanfelici |
Autore | Mancino, Maria Elvira |
Pubbl/distr/stampa | Cham, : Springer, 2017 |
Descrizione fisica | X, 135 p. : ill. ; 24 cm |
Altri autori (Persone) |
Recchioni, Maria Cristina
Sanfelici, Simona |
Soggetto topico |
42B05 - Fourier series and coefficients in several variables [MSC 2020]
62H12 - Estimation in multivariate analysis [MSC 2020] 42A38 - Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type [MSC 2020] 62P20 - Applications of statistics to economics [MSC 2020] 62G05 - Nonparametric estimation [MSC 2020] 62P05 - Applications of statistics to actuarial sciences and financial mathematics [MSC 2020] 62F12 - Asymptotic properties of parametric estimators [MSC 2020] |
Soggetto non controllato |
Convolution
Fourier analysis High-frequency data Leverage Microstructure Noise Multivariate Volatility Non-parametric estimation Science as a business Volatility of Volatility |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0123445 |
Mancino, Maria Elvira | ||
Cham, : Springer, 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
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