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Dynamical Systems and Random Processes
This volume contains the proceedings of the 16th Carolina Dynamics Symposium, held from April 13-15, 2018, at Agnes Scott College, Decatur, Georgia. The papers cover various topics in dynamics and randomness, including complex dynamics, ergodic theory, topological dynamics, celestial mechanics, symb...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2019.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title page; Contents; Preface; Chain recurrence and strong chain recurrence on uniform spaces; 1. Introduction; 2. Definitions and background; 3. Barrier functions; 4. The Conley and Aubry-Mather chain-relations; 5. Lyapunov functions; 6. Conley and Aubry-Mather relations for uniform spaces; References; Towards the prediction of critical transitions in spatially extended populations with cubical homology; 1. Introduction; 2. Background; 3. Results; 4. Discussion; 5. Acknowledgements; References; Relating singularly perturbed rational maps to families of entire maps; 1. Introduction
- 2. Basic properties of the functions3. Dynamical Plane; 4. Parameter Plane; References; Stability of Cantor Julia sets in the space of iterated elliptic functions; 1. Introduction; 2. Preliminary background and definitions; 3. Julia sets; 4. Rhombic square lattices; 5. Triangular lattices and stability; 6. Real rectangular lattices; 7. Hyperbolic components of \M with connected Julia sets; References; Pressure and escape rates for random subshifts of finite type; 1. Introduction; 2. Background and notation; 3. Pressure of random SFTs; 4. Repeat probabilities; 5. Moment bounds
- 6. Bounds on pressure7. Connection between pressure and escape rate; Acknowledgments; References; On the complexity function for sequences which are not uniformly recurrent; 1. Introduction and definitions; 2. Definitions; 3. Proofs; References; Definitions and properties of entropy and distance for regular languages; 1. Introduction; 2. Background; 3. Language Entropy; 4. Entropy Distances; 5. Jaccard Distances; 6. Conclusion; References; Good and Bad Functions for Bad Processes; 1. Introduction; 2. Processes Depending on a Map; 3. Processes Depending on a Group of Maps; References
- Isomorphisms of cubic rational maps that preserve an infinite measure1. Introduction; 2. Background and Notation; 3. Degree 3 Boole Transformations; 4. Symmetric Degree 3 Boole Transformations; References; Orbit classification and asymptotic constants for -symmetric covers; 1. Introduction and Results; 2. Background on translation surfaces; Finite \slz orbits on tori; 3. Parameter spaces of cyclic covers; 4. Asymptotic formulas for branched covers; 5. Asymptotic constants and parameter space geometry.; 6. Teichmüller curves and moduli space; 7. Cylinder decompositions of -symmetric forms
- 8. Illumination and non illumination9. Asymptotic constants -cylinders, generic case; 10. Asymptotic constants -cylinders, finite orbit case; 11. Asymptotic constants -saddle connections; 12. Questions and Comments; References; On the collision manifold of coorbital moons; 1. Coorbital Model; 2. Solar-system formation; 3. Cors and Hall Coordinates; 4. Change of Variables into Polar Coordinates; 5. Collision Manifold; 6. Flow at Binary Collision; References; Multivariate random fields and their zero sets; 1. Introduction
- 2. Formulas for the expected (
- )-dimensional area of \Cal{ }(\Fv_{ })