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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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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 |
|
Stroock Daniel W.
|
||
| 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 |
|
Stroock Daniel W.
|
||
| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||