Dynamical Systems and Random Processes
About this Title
Jane Hawkins, University of North Carolina, Chapel Hill, NC, Rachel L. Rossetti, Agnes Scott College, Decatur, GA and Jim Wiseman, Agnes Scott College, Decatur, GA, Editors
Publication: Contemporary Mathematics
Publication Year: 2019; Volume 736
ISBNs: 978-1-4704-4831-8 (print); 978-1-4704-5446-3 (online)
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.
Graduate students and research mathematicians interested in dynamical systems and random processes.
Table of Contents
- Ethan Akin and Jim Wiseman – Chain recurrence and strong chain recurrence on uniform spaces
- Laura S. Storch and Sarah L. Day – Towards the prediction of critical transitions in spatially extended populations with cubical homology
- Joanna Furno and Lorelei Koss – Relating singularly perturbed rational maps to families of entire maps
- Jane Hawkins – Stability of Cantor Julia sets in the space of iterated elliptic functions
- Kevin McGoff – Pressure and escape rates for random subshifts of finite type
- Nic Ormes and Ronnie Pavlov – On the complexity function for sequences which are not uniformly recurrent
- Austin J. Parker, Kelly B. Yancey and Matthew P. Yancey – Definitions and properties of entropy and distance for regular languages
- Andrew Parrish and Joseph Rosenblatt – Good and Bad Functions for Bad Processes
- Rachel L. Rossetti – Isomorphisms of cubic rational maps that preserve an infinite measure
- Martin Schmoll – Orbit classification and asymptotic constants for $d$-symmetric covers
- Kimberly Stubbs and Samuel R. Kaplan – On the collision manifold of coorbital moons
- Michael Taylor – Multivariate random fields and their zero sets