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Functional Integration and Partial Differential Equations. (AM-109), Volume 109 / / Mark Iosifovich Freidlin
| 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] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
| Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland |
| Autore | Folland Gerald B. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (289 pages) : illustrations |
| Disciplina | 530.1/3 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Phase space (Statistical physics)
Harmonic analysis |
| Soggetto non controllato |
Analytic continuation
Analytic function Antisymmetric tensor Asymptotic expansion Automorphism Bilinear form Bounded operator Calculation Canonical commutation relation Canonical transformation Cauchy–Riemann equations Cayley transform Class function (algebra) Classical mechanics Commutative property Complex analysis Configuration space Differential equation Differential geometry Differential operator Eigenvalues and eigenvectors Equation Explicit formula Fock space Fourier analysis Fourier integral operator Fourier transform Functional analysis Gaussian function Gaussian integral Geometric quantization Hamiltonian mechanics Hamiltonian vector field Harmonic analysis Heisenberg group Hermite polynomials Hermitian symmetric space Hilbert space Hilbert transform Integral transform Invariant subspace Irreducible representation Lebesgue measure Lie algebra Lie superalgebra Lie theory Mathematical physics Number theory Observable Ordinary differential equation Orthonormal basis Oscillator representation Oscillatory integral Partial differential equation Phase factor Phase space Point at infinity Poisson bracket Polynomial Power series Probability Projection (linear algebra) Projective Hilbert space Projective representation Projective space Pseudo-differential operator Pullback (category theory) Quadratic function Quantum harmonic oscillator Quantum mechanics Representation theory Schrödinger equation Self-adjoint operator Semigroup Several complex variables Siegel disc Sobolev space Spectral theorem Spectral theory State-space representation Stone's theorem Stone–Weierstrass theorem Summation Symmetric space Symmetric tensor Symplectic geometry Symplectic group Symplectic vector space Symplectomorphism Tangent space Tangent vector Theorem Translational symmetry Unbounded operator Unit vector Unitarity (physics) Unitary operator Unitary representation Variable (mathematics) Wave packet |
| ISBN | 1-4008-8242-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX |
| Record Nr. | UNINA-9910154752303321 |
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Folland Gerald B.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Markov processes from K. Itô's perspective / / Daniel W. Stroock
| Markov processes from K. Itô's perspective / / Daniel W. Stroock |
| Autore | Stroock Daniel W. |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 519.2/33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Markov processes
Stochastic difference equations |
| Soggetto non controllato |
Abelian group
Addition Analytic function Approximation Bernhard Riemann Bounded variation Brownian motion Central limit theorem Change of variables Coefficient Complete metric space Compound Poisson process Continuous function (set theory) Continuous function Convergence of measures Convex function Coordinate system Corollary David Hilbert Decomposition theorem Degeneracy (mathematics) Derivative Diffeomorphism Differentiable function Differentiable manifold Differential equation Differential geometry Dimension Directional derivative Doob–Meyer decomposition theorem Duality principle Elliptic operator Equation Euclidean space Existential quantification Fourier transform Function space Functional analysis Fundamental solution Fundamental theorem of calculus Homeomorphism Hölder's inequality Initial condition Integral curve Integral equation Integration by parts Invariant measure Itô calculus Itô's lemma Joint probability distribution Lebesgue measure Linear interpolation Lipschitz continuity Local martingale Logarithm Markov chain Markov process Markov property Martingale (probability theory) Normal distribution Ordinary differential equation Ornstein–Uhlenbeck process Polynomial Principal part Probability measure Probability space Probability theory Pseudo-differential operator Radon–Nikodym theorem Representation theorem Riemann integral Riemann sum Riemann–Stieltjes integral Scientific notation Semimartingale Sign (mathematics) Special case Spectral sequence Spectral theory State space State-space representation Step function Stochastic calculus Stochastic Stratonovich integral Submanifold Support (mathematics) Tangent space Tangent vector Taylor's theorem Theorem Theory Topological space Topology Translational symmetry Uniform convergence Variable (mathematics) Vector field Weak convergence (Hilbert space) Weak topology |
| ISBN |
0-691-11542-7
1-4008-3557-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index |
| Record Nr. | UNINA-9910791958803321 |
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Stroock Daniel W.
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Markov processes from K. Itô's perspective / / Daniel W. Stroock
| Markov processes from K. Itô's perspective / / Daniel W. Stroock |
| Autore | Stroock Daniel W. |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 519.2/33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Markov processes
Stochastic difference equations |
| Soggetto non controllato |
Abelian group
Addition Analytic function Approximation Bernhard Riemann Bounded variation Brownian motion Central limit theorem Change of variables Coefficient Complete metric space Compound Poisson process Continuous function (set theory) Continuous function Convergence of measures Convex function Coordinate system Corollary David Hilbert Decomposition theorem Degeneracy (mathematics) Derivative Diffeomorphism Differentiable function Differentiable manifold Differential equation Differential geometry Dimension Directional derivative Doob–Meyer decomposition theorem Duality principle Elliptic operator Equation Euclidean space Existential quantification Fourier transform Function space Functional analysis Fundamental solution Fundamental theorem of calculus Homeomorphism Hölder's inequality Initial condition Integral curve Integral equation Integration by parts Invariant measure Itô calculus Itô's lemma Joint probability distribution Lebesgue measure Linear interpolation Lipschitz continuity Local martingale Logarithm Markov chain Markov process Markov property Martingale (probability theory) Normal distribution Ordinary differential equation Ornstein–Uhlenbeck process Polynomial Principal part Probability measure Probability space Probability theory Pseudo-differential operator Radon–Nikodym theorem Representation theorem Riemann integral Riemann sum Riemann–Stieltjes integral Scientific notation Semimartingale Sign (mathematics) Special case Spectral sequence Spectral theory State space State-space representation Step function Stochastic calculus Stochastic Stratonovich integral Submanifold Support (mathematics) Tangent space Tangent vector Taylor's theorem Theorem Theory Topological space Topology Translational symmetry Uniform convergence Variable (mathematics) Vector field Weak convergence (Hilbert space) Weak topology |
| ISBN |
0-691-11542-7
1-4008-3557-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index |
| Record Nr. | UNINA-9910809577703321 |
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Stroock Daniel W.
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thermodynamics [[electronic resource] ] : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
| Thermodynamics [[electronic resource] ] : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
| Autore | Haddad Wassim M. <1961-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2005 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 536/.7 |
| Altri autori (Persone) |
ChellaboinaVijaySekhar <1970->
NersesovSergey G. <1976-> |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Thermodynamics - Mathematics
Differentiable dynamical systems |
| Soggetto non controllato |
Addition
Adiabatic process Applied mathematics Arthur Eddington Asymmetry Available energy (particle collision) Axiom Balance equation Banach space Boltzmann's entropy formula Brillouin scattering Carnot cycle Classical mechanics Clausius (crater) Compact space Conservation law Conservation of energy Constant of integration Continuous function (set theory) Continuous function Control theory Deformation (mechanics) Derivative Diathermal wall Diffeomorphism Differentiable function Diffusion process Dimension (vector space) Dimension Dissipation Dot product Dynamical system Emergence Energy density Energy level Energy storage Energy Entropy Equation Equations of motion Equilibrium point Equilibrium thermodynamics Equipartition theorem Existential quantification First law of thermodynamics Hamiltonian mechanics Heat capacity Heat death of the universe Heat flux Heat transfer Homeomorphism Hydrogen atom Ideal gas Inequality (mathematics) Infimum and supremum Infinitesimal Initial condition Instant Internal energy Irreversible process Isolated system Kinetic theory of gases Laws of thermodynamics Linear dynamical system Lipschitz continuity Local boundedness Lyapunov function Lyapunov stability Mathematical optimization Mathematics Molecule Non-equilibrium thermodynamics Operator norm Probability Quantity Reversible process (thermodynamics) Second law of thermodynamics Semi-infinite Smoothness State variable State-space representation Statistical mechanics Steady state Summation Supply (economics) Systems theory Temperature Theorem Theoretical physics Theory Thermal conduction Thermal equilibrium Thermodynamic equilibrium Thermodynamic process Thermodynamic state Thermodynamic system Thermodynamic temperature Thermodynamics Time evolution Zeroth law of thermodynamics |
| ISBN |
1-68015-904-6
1-282-15830-9 9786612158308 1-4008-2697-7 |
| Classificazione | UG 1000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Dynamical System Theory -- Chapter 3. A Systems Foundation for Thermodynamics -- Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter 5. Work, Heat, and the Carnot Cycle -- Chapter 6. Thermodynamic Systems with Linear Energy Exchange -- Chapter 7. Continuum Thermodynamics -- Chapter 8. Conclusion -- Bibliography -- Index |
| Record Nr. | UNINA-9910778220303321 |
|
Haddad Wassim M. <1961->
|
||
| Princeton, : Princeton University Press, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Thermodynamics [[electronic resource] ] : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
| Thermodynamics [[electronic resource] ] : a dynamical systems approach / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov |
| Autore | Haddad Wassim M. <1961-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2005 |
| Descrizione fisica | 1 online resource (199 p.) |
| Disciplina | 536/.7 |
| Altri autori (Persone) |
ChellaboinaVijaySekhar <1970->
NersesovSergey G. <1976-> |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Thermodynamics - Mathematics
Differentiable dynamical systems |
| Soggetto non controllato |
Addition
Adiabatic process Applied mathematics Arthur Eddington Asymmetry Available energy (particle collision) Axiom Balance equation Banach space Boltzmann's entropy formula Brillouin scattering Carnot cycle Classical mechanics Clausius (crater) Compact space Conservation law Conservation of energy Constant of integration Continuous function (set theory) Continuous function Control theory Deformation (mechanics) Derivative Diathermal wall Diffeomorphism Differentiable function Diffusion process Dimension (vector space) Dimension Dissipation Dot product Dynamical system Emergence Energy density Energy level Energy storage Energy Entropy Equation Equations of motion Equilibrium point Equilibrium thermodynamics Equipartition theorem Existential quantification First law of thermodynamics Hamiltonian mechanics Heat capacity Heat death of the universe Heat flux Heat transfer Homeomorphism Hydrogen atom Ideal gas Inequality (mathematics) Infimum and supremum Infinitesimal Initial condition Instant Internal energy Irreversible process Isolated system Kinetic theory of gases Laws of thermodynamics Linear dynamical system Lipschitz continuity Local boundedness Lyapunov function Lyapunov stability Mathematical optimization Mathematics Molecule Non-equilibrium thermodynamics Operator norm Probability Quantity Reversible process (thermodynamics) Second law of thermodynamics Semi-infinite Smoothness State variable State-space representation Statistical mechanics Steady state Summation Supply (economics) Systems theory Temperature Theorem Theoretical physics Theory Thermal conduction Thermal equilibrium Thermodynamic equilibrium Thermodynamic process Thermodynamic state Thermodynamic system Thermodynamic temperature Thermodynamics Time evolution Zeroth law of thermodynamics |
| ISBN |
1-68015-904-6
1-282-15830-9 9786612158308 1-4008-2697-7 |
| Classificazione | UG 1000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Introduction -- Chapter 2. Dynamical System Theory -- Chapter 3. A Systems Foundation for Thermodynamics -- Chapter 4. Temperature Equipartition and the Kinetic Theory of Gases -- Chapter 5. Work, Heat, and the Carnot Cycle -- Chapter 6. Thermodynamic Systems with Linear Energy Exchange -- Chapter 7. Continuum Thermodynamics -- Chapter 8. Conclusion -- Bibliography -- Index |
| Record Nr. | UNINA-9910820305403321 |
|
Haddad Wassim M. <1961->
|
||
| Princeton, : Princeton University Press, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||