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Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Diffusion, quantum theory, and radically elementary mathematics / / edited by William G. Faris
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson
| Radically Elementary Probability Theory. (AM-117), Volume 117 / / Edward Nelson |
| Autore | Nelson Edward |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (109 pages) : illustrations |
| Disciplina | 519.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Martingales (Mathematics)
Stochastic processes Probabilities |
| Soggetto non controllato |
Abraham Robinson
Absolute value Addition Algebra of random variables Almost surely Axiom Axiomatic system Borel set Bounded function Cantor's diagonal argument Cardinality Cartesian product Central limit theorem Chebyshev's inequality Compact space Contradiction Convergence of random variables Corollary Correlation coefficient Counterexample Dimension (vector space) Dimension Division by zero Elementary function Estimation Existential quantification Family of sets Finite set Hyperplane Idealization Independence (probability theory) Indicator function Infinitesimal Internal set theory Joint probability distribution Law of large numbers Linear function Martingale (probability theory) Mathematical induction Mathematician Mathematics Measure (mathematics) N0 Natural number Non-standard analysis Norm (mathematics) Orthogonal complement Parameter Path space Predictable process Probability distribution Probability measure Probability space Probability theory Probability Product topology Projection (linear algebra) Quadratic variation Random variable Real number Requirement Scientific notation Sequence Set (mathematics) Significant figures Special case Standard deviation Statistical mechanics Stochastic process Subalgebra Subset Summation Theorem Theory Total variation Transfer principle Transfinite number Trigonometric functions Upper and lower bounds Variable (mathematics) Variance Vector space W0 Wiener process Without loss of generality |
| ISBN | 1-4008-8214-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table of contents -- Preface -- Acknowledgments -- 1. Random variables -- 2. Algebras of random variables -- 3. Stochastic processes -- 4. External concepts -- 5. Infinitesimals -- 6. External analogues of internal notions -- 7. Properties that hold almost everywhere -- 8. L1 random variables 30 -- 9. The decomposition of a stochastic process -- 10. The total variation of a process -- 11. Convergence of martingales -- 12. Fluctuations of martingales -- 13. Discontinuities of martingales -- 14. The Lindeberg condition -- 15. The maximum of a martingale -- 16. The law of large numbers -- 17. Nearly equivalent stochastic processes -- 18. The de Moivre-Laplace-Lindeberg-Feller-Wiener- Lévy-Doob-Erdös-Kac-Donsker-Prokhorov theorem -- Appendix -- Index |
| Record Nr. | UNINA-9910154754503321 |
Nelson Edward
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||