Dynamical systems and random processes : 16th Carolina Dynamics Symposium, April 13-15, 2018, Agnes Scott College, Decatur, Georgia / Jane Hawkins, Rachel L. Rossetti, Jim Wiseman, editors.

Format:

Book

Conference/Event

Author/Creator:

Hawkins, Jane.

Contributor:

Hawkins, Jane, 1954- editor.

Rossetti, Rachel L., 1986- editor.

Wiseman, Jim, 1974- editor.

Conference Name:

Carolina Dynamics Symposium (16th : 2018 : Decatur, Ga.), issuing body.

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 736

Contemporary mathematics, 736 0271-4132

Language:

English

Subjects (All):

Geometry, Differential--Congresses.

Geometry, Differential.

Differentiable dynamical systems--Congresses.

Differentiable dynamical systems.

Random dynamical systems--Congresses.

Random dynamical systems.

Stochastic processes--Congresses.

Stochastic processes.

Physical Description:

1 online resource (282 pages) : illustrations, charts.

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2019]

Language Note:

English

Summary:

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, symbolic dynamics, computational topology, random processes, and regular languages. The intent is to provide a glimpse of the richness of the field and of the common threads that tie the different specialties together.

Contents:

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

2. Background

3. Results

4. Discussion

5. Acknowledgements

Relating singularly perturbed rational maps to families of entire maps

2. Basic properties of the functions

3. Dynamical Plane

4. Parameter Plane

Stability of Cantor Julia sets in the space of iterated elliptic functions

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

Pressure and escape rates for random subshifts of finite type

2. Background and notation

3. Pressure of random SFTs

4. Repeat probabilities

5. Moment bounds

6. Bounds on pressure

7. Connection between pressure and escape rate

Acknowledgments

On the complexity function for sequences which are not uniformly recurrent

1. Introduction and definitions

2. Definitions

3. Proofs

Definitions and properties of entropy and distance for regular languages

3. Language Entropy

4. Entropy Distances

5. Jaccard Distances

6. Conclusion

Good and Bad Functions for Bad Processes

2. Processes Depending on a Map.

3. Processes Depending on a Group of Maps

Isomorphisms of cubic rational maps that preserve an infinite measure

2. Background and Notation

3. Degree 3 Boole Transformations

4. Symmetric Degree 3 Boole Transformations

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 illumination

9. Asymptotic constants -cylinders, generic case

10. Asymptotic constants -cylinders, finite orbit case

11. Asymptotic constants -saddle connections

12. Questions and Comments

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

Multivariate random fields and their zero sets

2. Formulas for the expected ( - )-dimensional area of \Cal{ }(\Fv_{ })

3. The Gaussian measure Γ^{ }ₓ on ₓ⊕\Cal{ }( ₓ, ₓ)

4. Heat asymptotics and zero set asymptotics

5. Other directions

Appendix A. Remarks on ( , )

Back Cover.

Notes:

"The 16th Carolina Dynamics Symposium"--Preface.

Description based on print version record.

Includes bibliographical references.

ISBN:

9781470454463

1470454467