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Geometric and Ergodic Aspects of Group Actions / / edited by S. G. Dani, Anish Ghosh
| Geometric and Ergodic Aspects of Group Actions / / edited by S. G. Dani, Anish Ghosh |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XII, 167 p. 85 illus., 12 illus. in color.) |
| Disciplina | 515.42 |
| Collana | Infosys Science Foundation Series in Mathematical Sciences |
| Soggetto topico |
Topological groups
Lie groups Dynamics Ergodic theory Topological Groups, Lie Groups Dynamical Systems and Ergodic Theory |
| ISBN | 981-15-0683-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Lectures on Kleinian Groups -- 2. Horocycle Flows on Surfaces with Infinite Genus -- 3. Higher-Order Correlations for Group Actions -- 4. Exponential Mixing. |
| Record Nr. | UNINA-9910370252303321 |
| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometry in History / / edited by S. G. Dani, Athanase Papadopoulos
| Geometry in History / / edited by S. G. Dani, Athanase Papadopoulos |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (759 pages) |
| Disciplina | 516.009 |
| Soggetto topico |
Projective geometry
Mathematics History Topology Functions of complex variables Projective Geometry History of Mathematical Sciences Functions of a Complex Variable |
| ISBN | 3-030-13609-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Plato on Geometry and the Geometers -- Topology and Biology: From Aristotle to Thom -- Time and eriodicity from Ptolemy to Schrödinger: Paradigm Shifts vs Continuity in History of Mathematics -- Convexity in Greek Antiquity -- On the Concept of Curve: Geometry and Algebra, fromMathematicalModernity to MathematicalModernism -- From Euclid to Riemann and Beyond: How to Describe the Shape of the Universe -- A Path in History, from Curvature to Convexity -- The Axiomatic Destiny of the Theorems of Pappus and Desargues -- Projective Configuration Theorems: Old Wine into New Wineskins -- Poincaré’s GeometricWorldview and Philosophy -- Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist -- René Thom and an Anticipated h-Principle -- Rigid and Flexible Facets of Symplectic Topology -- Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective -- Basic Aspects of Differential Geometry -- The Global Study of Riemannian-Finsler Geometry -- The Poincaré Conjecture and Related Statements -- A Glimpse into the Problems of the Fourth Dimension -- Memories fromMy Former Life: The Making of a Mathematician -- Index. |
| Record Nr. | UNINA-9910349317903321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent trends in ergodic theory and dynamical systems : international conference in honor of S. G. Dani's 65th birthday recent trends in ergodic theory and dynamical systems December 26-29, 2012 Vadodara, India / / Siddhartha Bhattacharya, [and three others], editors
| Recent trends in ergodic theory and dynamical systems : international conference in honor of S. G. Dani's 65th birthday recent trends in ergodic theory and dynamical systems December 26-29, 2012 Vadodara, India / / Siddhartha Bhattacharya, [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 515/.48 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Ergodic theory Mathematical analysis |
| ISBN | 1-4704-2219-0 |
| Classificazione | 05Bxx11Txx11Gxx12Exx12Fxx12Yxx20Cxx51Exx94Axx94Bxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A new connection between metric theory of Diophantine approximations and distribution of algebraic numbers -- 1. Introduction -- 2. Effective theorems in metric theory of Diophantine approximations of dependent variables -- 3. Distribution of conjugate algebraic numbers -- 4. Distribution of resultants of integral polynomials -- 5. Distribution of discriminants of integral polynomials -- 6. Algebraic numbers in small intervals -- References -- The gap distribution of slopes on the golden L -- 1. Introduction -- 2. Strata, \SL(2,\R)-action, and Veech groups -- 3. Horocycle flows and first return maps -- 4. Ergodicity and equidistribution -- 5. Further questions -- A. Explicit formulas for the probability distribution function -- B. Volume computations -- C. Quadratic Asymptotics -- References -- Uniformly recurrent subgroups -- Introduction -- 1. Stability systems -- 2. Homogeneity properties of a URS -- 3. URS's for Wreath products -- 4. Applications to ergodic systems -- 5. Uncountably many URS's for â?? -- 6. Realizations of URS's as stability systems -- References -- Values of binary quadratic forms at integer points and Schmidt games -- 1. Introduction -- 2. Dynamics and gaps between values of quadratic forms -- 3. Schmidt games -- 4. Transversality and reduction to discrete time actions -- 5. Completion of the proof: the percentage game -- References -- Conformal families of measures for general iterated function systems -- 1. Introduction -- 2. Iterated Function Systems -- 3. Conformal Measures -- References -- Dani's work on probability measures on groups -- 1. Introduction to the embedding problem -- 2. The embedding problem on connected Lie groups -- 3. A basic technique and its applications -- 4. Recent results on the embedding problem on Lie groups -- 5. The embedding problem on general locally compact groups -- References -- On the homogeneity at infinity of the stationary probability for an affine random walk -- 1. Introduction -- 2. Calculation of invariant measures on â?? in a special case -- 3. Proof of Theorem 1.1 -- 4. Appendix -- References -- Dani's work on dynamical systems on homogeneous spaces -- 1. Unipotent flows -- 2. Applications in Number Theory. |
| Record Nr. | UNINA-9910788256303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Recent trends in ergodic theory and dynamical systems : international conference in honor of S. G. Dani's 65th birthday recent trends in ergodic theory and dynamical systems December 26-29, 2012 Vadodara, India / / Siddhartha Bhattacharya, [and three others], editors
| Recent trends in ergodic theory and dynamical systems : international conference in honor of S. G. Dani's 65th birthday recent trends in ergodic theory and dynamical systems December 26-29, 2012 Vadodara, India / / Siddhartha Bhattacharya, [and three others], editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2015 |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 515/.48 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Ergodic theory Mathematical analysis |
| ISBN | 1-4704-2219-0 |
| Classificazione | 05Bxx11Txx11Gxx12Exx12Fxx12Yxx20Cxx51Exx94Axx94Bxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A new connection between metric theory of Diophantine approximations and distribution of algebraic numbers -- 1. Introduction -- 2. Effective theorems in metric theory of Diophantine approximations of dependent variables -- 3. Distribution of conjugate algebraic numbers -- 4. Distribution of resultants of integral polynomials -- 5. Distribution of discriminants of integral polynomials -- 6. Algebraic numbers in small intervals -- References -- The gap distribution of slopes on the golden L -- 1. Introduction -- 2. Strata, \SL(2,\R)-action, and Veech groups -- 3. Horocycle flows and first return maps -- 4. Ergodicity and equidistribution -- 5. Further questions -- A. Explicit formulas for the probability distribution function -- B. Volume computations -- C. Quadratic Asymptotics -- References -- Uniformly recurrent subgroups -- Introduction -- 1. Stability systems -- 2. Homogeneity properties of a URS -- 3. URS's for Wreath products -- 4. Applications to ergodic systems -- 5. Uncountably many URS's for â?? -- 6. Realizations of URS's as stability systems -- References -- Values of binary quadratic forms at integer points and Schmidt games -- 1. Introduction -- 2. Dynamics and gaps between values of quadratic forms -- 3. Schmidt games -- 4. Transversality and reduction to discrete time actions -- 5. Completion of the proof: the percentage game -- References -- Conformal families of measures for general iterated function systems -- 1. Introduction -- 2. Iterated Function Systems -- 3. Conformal Measures -- References -- Dani's work on probability measures on groups -- 1. Introduction to the embedding problem -- 2. The embedding problem on connected Lie groups -- 3. A basic technique and its applications -- 4. Recent results on the embedding problem on Lie groups -- 5. The embedding problem on general locally compact groups -- References -- On the homogeneity at infinity of the stationary probability for an affine random walk -- 1. Introduction -- 2. Calculation of invariant measures on â?? in a special case -- 3. Proof of Theorem 1.1 -- 4. Appendix -- References -- Dani's work on dynamical systems on homogeneous spaces -- 1. Unipotent flows -- 2. Applications in Number Theory. |
| Record Nr. | UNINA-9910820630303321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||