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-9910786748903321 |
Simiu Emil
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Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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Princeton, New Jersey : , : Princeton University Press, , 2002 | ||
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Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Games (AM-39), Volume III / / Philip Wolfe, Albert William Tucker, Melvin Dresher |
Autore | Dresher Melvin |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (452 pages) : illustrations |
Disciplina | 519.3 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Game theory |
Soggetto non controllato |
Almost surely
American Mathematical Society Axiom of choice Bayes estimator Big O notation Binomial coefficient Binomial theorem Boundary value problem C0 Calculation Cartesian product Characteristic function (probability theory) Coefficient Complete metric space Composition series Continuous function (set theory) Continuous game Counterexample Decision problem Decision theory Determinacy Diagram (category theory) Differential equation Differential game Distribution function Elementary matrix Equation Existence theorem Expected utility hypothesis Extended real number line Family of sets Finitary Function (mathematics) Functional equation Fundamenta Mathematicae Fundamental theorem Inequality (mathematics) Infimum and supremum Integral equation Interval (mathematics) Joint probability distribution Kakutani fixed-point theorem Kakutani's theorem Laplace's equation Lipschitz continuity Loss function Markov chain Martingale (probability theory) Mathematical analysis Mathematical induction Mathematical optimization Mathematics Maxima and minima Measure (mathematics) Metric space Monotonic function N-vector Ordinal number Outcome (probability) Parametric statistics Parity (mathematics) Partial differential equation Polynomial Preference (economics) Probability distribution Probability measure Probability theory Probability Product topology Proportionality (mathematics) Randomization Rate of convergence Real projective plane Recurrence relation Recursive set Recursively enumerable set Reductio ad absurdum Restriction (mathematics) Scientific notation Series (mathematics) Set (mathematics) Sigma-algebra Sign (mathematics) Solution set Special case Stochastic game Stochastic process Stochastic Strategy (game theory) Subharmonic function Summation Theorem Topological game Topological space Topology Transfinite induction Turing machine Utility Variable (mathematics) Zorn's lemma |
ISBN | 1-4008-8215-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- INTRODUCTION -- PART I. MOVE AS PLAYS OF OTHER GAMES -- 1. ON GAMES OP SURVIVAL / Milnor, J. / Shapley, L .S. -- 2. RECURSIVE GAMES / Everett, H. -- 3. FINITARY GAMES / Isbell, J. R. -- 4. APPROXIMATION TO RAYES RISK IN REPEATED PLAY / Hannan, James -- 5. INFORMATION IN GAMES WITH FINITE RESOURCES / Gale, David -- PART II. GAMES WITH PERFECT INFORMATION -- 6. EFFECTIVE COMPUTABILITY OF WINNING STRATEGIES / Rabin, Michael O. -- 7. THE BANACH-MAZUR GAME AND BANACH CATEGORY THEOREM / Oxtoby, John C. -- 8. TOPOLOGICAL GAMES WITH PERFECT INFORMATION / Berge, Claude -- 9. STOCHASTIC GAMES WITH ZERO STOP PROBABILITIES / Gillette, Dean -- 10. CARTESIAN PRODUCTS OF TERMINATION GAMES / Holladay, John C. -- 11. A STUDY OP SIMPLE GAMES THROUGH EXPERIMENTS ON COMPUTING MACHINES / Walden, w. -- PART III. GAMES WITH PARTIAL INFORMATION -- 12. GAMES WITH PARTIAL INFORMATION / Scarf, H. E. / Shapley, L. S. -- 13. A DISCRETE EVASION GAME / Dabins, L. E. -- 14. AN INFINITE MOVE GAME WITH A LAG / Karlin, Samuel -- 15. THE EFFECT OF PSYCHOLOGICAL ATTITUDES ON THE OUTCOMES OF GAMES / Kemeny, John G. / Thompson, Gerald L. -- PART IV. GAMES WITH CONTINUUM OF STRATEGIES -- 16. ON A GAME WITHOUT A VALUE / Sion, Maurice / Wolfe, Philip -- 17. A RATIONAL GAME ON THE SQUARE / Gross, O. -- 18. TACTICAL PROBLEMS INVOLVING SEVERAL ACTIONS / Restrepo, Rodrigo -- 19. MULTISTAGE POKER MODELS / Karlin, Samuel / Restrepo, Rodrigo -- 20. ON GAMES DESCRIBED BY BELL SHAPED KERNELS / Karlin, Samuel -- PART V. GAMES WITH A CONTINUUM OF MOVES -- 21. ON DIFFERENTIAL GAMES WITH SURVIVAL PAYOFF / Scarf, H. E. -- 22. A NOTE ON DIFFERENTIAL GAMES OF PRESCRIBED DURATION / Fleming, W. H. -- 23. ON DIFFERENTIAL GAMES WITH INTEGRAL PAYOFF / Berkovitz, L. D. / Fleming, W. H. -- Backmatter |
Record Nr. | UNINA-9910154750403321 |
Dresher Melvin
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
Descrizione fisica | 1 online resource (257 p.) |
Disciplina | 530.15 |
Collana | Mathematical Notes |
Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
ISBN | 1-4008-6525-5 |
Classificazione | 33.65 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
Record Nr. | UNINA-9910786749603321 |
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
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Lo trovi qui: Univ. Federico II | ||
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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 |
Descrizione fisica | 1 online resource (257 p.) |
Disciplina | 530.15 |
Collana | Mathematical Notes |
Soggetto topico |
Mathematical physics
Diffusion Quantum theory |
Soggetto non controllato |
Affine space
Algebra Axiom Bell's theorem Brownian motion Central limit theorem Classical mathematics Classical mechanics Clifford algebra Combinatorial proof Commutative property Constructive quantum field theory Continuum hypothesis David Hilbert Dimension (vector space) Discrete mathematics Distribution (mathematics) Eigenfunction Equation Euclidean space Experimental mathematics Fermi–Dirac statistics Feynman–Kac formula First-order logic Fokker–Planck equation Foundations of mathematics Fractal dimension Gaussian process Girsanov theorem Gödel's incompleteness theorems Hilbert space Hilbert's program Holomorphic function Infinitesimal Integer Internal set theory Interval (mathematics) Limit (mathematics) Mathematical induction Mathematical optimization Mathematical physics Mathematical proof Mathematician Mathematics Measurable function Measure (mathematics) Minkowski space Natural number Neo-Riemannian theory Non-standard analysis Number theory Operator algebra Ornstein–Uhlenbeck process Orthonormal basis Perturbation theory (quantum mechanics) Philosophy of mathematics Predicate (mathematical logic) Probability measure Probability space Probability theory Probability Projection (linear algebra) Pure mathematics Pythagorean theorem Quantum field theory Quantum fluctuation Quantum gravity Quantum harmonic oscillator Quantum mechanics Quantum system Quantum teleportation Random variable Real number Renormalization group Renormalization Riemann mapping theorem Riemann surface Riemannian geometry Riemannian manifold Schrödinger equation Scientific notation Set (mathematics) Sign (mathematics) Sobolev inequality Special relativity Spectral theorem Spin (physics) Statistical mechanics Stochastic calculus Stochastic differential equation Tensor algebra Theorem Theoretical physics Theory Turing machine Variable (mathematics) Von Neumann algebra Wiener process Wightman axioms Zermelo–Fraenkel set theory |
ISBN | 1-4008-6525-5 |
Classificazione | 33.65 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- Chapter One. Introduction: Diffusive Motion and Where It Leads / Faris, William G. -- Chapter Two. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys / Gross, Leonard -- Chapter Three. Ed Nelson's Work in Quantum Theory / Simon, Barry -- Chapter Four Symanzik, Nelson, and Self-Avoiding Walk / Brydges, David C. -- Chapter Five. Stochastic Mechanics: A Look Back and a Look Ahead / Carlen, Eric -- Chapter Six. Current Trends in Optimal Transportation: A Tribute to Ed Nelson / Villani, Cédric -- Chapter Seven. Internal Set Theory and Infinitesimal Random Walks / Lawler, Gregory F. -- Chapter Eight. Nelson's Work on Logic and Foundations and Other Reflections on the Foundations of Mathematics / Buss, Samuel R. -- Chapter Nine. Some Musical Groups: Selected Applications of Group Theory in Music / Hook, Julian -- Chapter Ten. Afterword / Nelson, Edward -- Appendix A. Publications by Edward Nelson -- Index |
Record Nr. | UNINA-9910811911703321 |
Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006 | ||
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Lo trovi qui: Univ. Federico II | ||
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Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin |
Autore | Freidlin Mark Iosifovich |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (557 pages) |
Disciplina | 515.3/53 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Differential equations, Partial
Probabilities Integration, Functional |
Soggetto non controllato |
A priori estimate
Absolute continuity Almost surely Analytic continuation Axiom Big O notation Boundary (topology) Boundary value problem Bounded function Calculation Cauchy problem Central limit theorem Characteristic function (probability theory) Chebyshev's inequality Coefficient Comparison theorem Continuous function (set theory) Continuous function Convergence of random variables Cylinder set Degeneracy (mathematics) Derivative Differential equation Differential operator Diffusion equation Diffusion process Dimension (vector space) Direct method in the calculus of variations Dirichlet boundary condition Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Elliptic operator Elliptic partial differential equation Equation Existence theorem Exponential function Feynman–Kac formula Fokker–Planck equation Function space Functional analysis Fundamental solution Gaussian measure Girsanov theorem Hessian matrix Hölder condition Independence (probability theory) Integral curve Integral equation Invariant measure Iterated logarithm Itô's lemma Joint probability distribution Laplace operator Laplace's equation Lebesgue measure Limit (mathematics) Limit cycle Limit point Linear differential equation Linear map Lipschitz continuity Markov chain Markov process Markov property Maximum principle Mean value theorem Measure (mathematics) Modulus of continuity Moment (mathematics) Monotonic function Navier–Stokes equations Nonlinear system Ordinary differential equation Parameter Partial differential equation Periodic function Poisson kernel Probabilistic method Probability space Probability theory Probability Random function Regularization (mathematics) Schrödinger equation Self-adjoint operator Sign (mathematics) Simultaneous equations Smoothness State-space representation Stochastic calculus Stochastic differential equation Stochastic Support (mathematics) Theorem Theory Uniqueness theorem Variable (mathematics) Weak convergence (Hilbert space) Wiener process |
ISBN | 1-4008-8159-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- INTRODUCTION -- I. STOCHASTIC DIFFERENTIAL EQUATIONS AND RELATED TOPICS -- II. REPRESENTATION OF SOLUTIONS OF DIFFERENTIAL EQUATIONS AS FUNCTIONAL INTEGRALS AND THE STATEMENT OF BOUNDARY V A LU E PROBLEMS -- III. BOUNDARY VALUE PROBLEMS FOR EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- IV. SMALL PARAMETER IN SECOND-ORDER ELLIPTIC DIFFERENTIAL EQUATIONS -- V. QUASI-LINEAR PARABOLIC EQUATIONS WITH NON-NEGATIVE CHARACTERISTIC FORM -- VI. QUASI-LINEAR PARABOLIC EQUATIONS WITH SMALL PARAMETER. WAVE FRONTS PROPAGATION -- VII. WAVE FRONT PROPAGATION IN PERIODIC AND RANDOM MEDIA -- LIST OF NOTATIONS -- REFERENCES -- Backmatter |
Record Nr. | UNINA-9910154753703321 |
Freidlin Mark Iosifovich
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Hidden Markov processes : theory and applications to biology / / M. Vidyasagar |
Autore | Vidyasagar M (Mathukumalli), <1947-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2014 |
Descrizione fisica | 1 online resource (303 p.) |
Disciplina | 570.285 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Computational biology
Markov processes |
Soggetto non controllato |
BLAST theory
BaumЗelch algorithm Bayes' rule Cramr's theorem GENSCAN algorithm GLIMMER algorithm Hankel matrix Hankel rank condition Hoeffding's inequality KullbackЌeibler divergence Markov chain Markov process Markov property Monte Carlo simulation PerronІrobenius theorem Probability theory Sanov's theorem Viterbi algorithm alignment alpha-mixing process amino acids canonical form complete realization problem computational biology concave function conditional entropy convex function entropy function entropy ergodicity expected value finite alphabet gene-finding problem genomics hidden Markov model hidden Markov processes hitting probability information theory irreducible matrices large deviation property large deviation theory likelihood estimation likelihood lower semi-continuous function lower semi-continuous relaxation maximal segmental score maximum likelihood estimate mean hitting time moment generating function nonnegative matrices nucleotide optimal gapped alignment periodic irreducible matrices post-genomic biology primitive matrices probability distribution probability protein classification proteomics quasi-realization random variable rate function recurrent state relative entropy rate relative entropy sequence alignment sequence state transition matrix stationary distribution total variation distance transient state ultra-mixing process |
ISBN | 1-4008-5051-7 |
Classificazione | SK 820 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. Preliminaries -- Chapter One. Introduction to Probability and Random Variables -- Chapter Two. Introduction to Information Theory -- Chapter Three. Nonnegative Matrices -- PART 2. Hidden Markov Processes -- Chapter Four. Markov Processes -- Chapter Five. Introduction to Large Deviation Theory -- Chapter Six. Hidden Markov Processes: Basic Properties -- Chapter Seven. Hidden Markov Processes: The Complete Realization Problem -- PART 3. Applications to Biology -- Chapter Eight. Some Applications to Computational Biology -- Chapter Nine. BLAST Theory -- Bibliography -- Index -- Back matter |
Record Nr. | UNINA-9910786777403321 |
Vidyasagar M (Mathukumalli), <1947->
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Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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Hidden Markov processes : theory and applications to biology / / M. Vidyasagar |
Autore | Vidyasagar M (Mathukumalli), <1947-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2014 |
Descrizione fisica | 1 online resource (303 p.) |
Disciplina | 570.285 |
Collana | Princeton Series in Applied Mathematics |
Soggetto topico |
Computational biology
Markov processes |
Soggetto non controllato |
BLAST theory
BaumЗelch algorithm Bayes' rule Cramr's theorem GENSCAN algorithm GLIMMER algorithm Hankel matrix Hankel rank condition Hoeffding's inequality KullbackЌeibler divergence Markov chain Markov process Markov property Monte Carlo simulation PerronІrobenius theorem Probability theory Sanov's theorem Viterbi algorithm alignment alpha-mixing process amino acids canonical form complete realization problem computational biology concave function conditional entropy convex function entropy function entropy ergodicity expected value finite alphabet gene-finding problem genomics hidden Markov model hidden Markov processes hitting probability information theory irreducible matrices large deviation property large deviation theory likelihood estimation likelihood lower semi-continuous function lower semi-continuous relaxation maximal segmental score maximum likelihood estimate mean hitting time moment generating function nonnegative matrices nucleotide optimal gapped alignment periodic irreducible matrices post-genomic biology primitive matrices probability distribution probability protein classification proteomics quasi-realization random variable rate function recurrent state relative entropy rate relative entropy sequence alignment sequence state transition matrix stationary distribution total variation distance transient state ultra-mixing process |
ISBN | 1-4008-5051-7 |
Classificazione | SK 820 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Preface -- PART 1. Preliminaries -- Chapter One. Introduction to Probability and Random Variables -- Chapter Two. Introduction to Information Theory -- Chapter Three. Nonnegative Matrices -- PART 2. Hidden Markov Processes -- Chapter Four. Markov Processes -- Chapter Five. Introduction to Large Deviation Theory -- Chapter Six. Hidden Markov Processes: Basic Properties -- Chapter Seven. Hidden Markov Processes: The Complete Realization Problem -- PART 3. Applications to Biology -- Chapter Eight. Some Applications to Computational Biology -- Chapter Nine. BLAST Theory -- Bibliography -- Index -- Back matter |
Record Nr. | UNINA-9910828783803321 |
Vidyasagar M (Mathukumalli), <1947->
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Princeton, New Jersey ; ; Oxford, England : , : Princeton University Press, , 2014 | ||
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Lo trovi qui: Univ. Federico II | ||
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Lectures on Probability Theory and Statistics [[electronic resource] ] : Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 / / by Boris Tsirelson, Wendelin Werner ; edited by Jean Picard |
Autore | Tsirelson Boris |
Edizione | [1st ed. 2004.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
Descrizione fisica | 1 online resource (VIII, 200 p.) |
Disciplina | 519.2 |
Collana | École d'Été de Probabilités de Saint-Flour |
Soggetto topico |
Probabilities
Statistical physics Dynamical systems Probability Theory and Stochastic Processes Complex Systems Statistical Physics and Dynamical Systems |
Soggetto non controllato | Probability theory |
ISBN | 3-540-39982-8 |
Classificazione |
31.70
31.73 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Part I: Boris Tsirelson: Scaling Limit, Noise, Stability -- Introduction -- A First Look -- Abstract Nonsense of the Scaling Limit -- Scaling Limit and Independence -- Example: The Noise Made by a Poison Snake -- Stability -- Generalizing Wiener Chaos -- Example: The Brownian Web as a Black Noise -- Miscellany -- References -- Index -- Part II: Wendelin Werner: Random Planar Curves and Schramm-Loewner Evolutions -- Introduction -- Loewner Chains -- Chordal SLE -- Chordal SLE and Restriction -- SLE and the Brownian Frontier -- Radial SLE -- Some Critical Exponents for SLE -- Brownian Exponents -- SLE, UST and LERW -- SLE and Critical Percolation -- What is Missing -- References. |
Record Nr. | UNISA-996466478103316 |
Tsirelson Boris
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 | ||
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Lo trovi qui: Univ. di Salerno | ||
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Lectures on Probability Theory and Statistics : Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002 / / by Boris Tsirelson, Wendelin Werner ; edited by Jean Picard |
Autore | Tsirelson Boris |
Edizione | [1st ed. 2004.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
Descrizione fisica | 1 online resource (VIII, 200 p.) |
Disciplina | 519.2 |
Collana | École d'Été de Probabilités de Saint-Flour |
Soggetto topico |
Probabilities
Statistical physics Dynamics Probability Theory and Stochastic Processes Complex Systems Statistical Physics and Dynamical Systems |
Soggetto non controllato | Probability theory |
ISBN | 3-540-39982-8 |
Classificazione |
31.70
31.73 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Preface -- Part I: Boris Tsirelson: Scaling Limit, Noise, Stability -- Introduction -- A First Look -- Abstract Nonsense of the Scaling Limit -- Scaling Limit and Independence -- Example: The Noise Made by a Poison Snake -- Stability -- Generalizing Wiener Chaos -- Example: The Brownian Web as a Black Noise -- Miscellany -- References -- Index -- Part II: Wendelin Werner: Random Planar Curves and Schramm-Loewner Evolutions -- Introduction -- Loewner Chains -- Chordal SLE -- Chordal SLE and Restriction -- SLE and the Brownian Frontier -- Radial SLE -- Some Critical Exponents for SLE -- Brownian Exponents -- SLE, UST and LERW -- SLE and Critical Percolation -- What is Missing -- References. |
Record Nr. | UNINA-9910767588003321 |
Tsirelson Boris
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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