Some Connections of Complex Dynamics
From MaRDI portal
Publication:3296706
DOI10.1007/978-3-030-40120-7_14zbMath1451.82032arXiv2006.16386OpenAlexW3040649482MaRDI QIDQ3296706
Publication date: 1 July 2020
Published in: Advancements in Complex Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.16386
Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Symbolic dynamics (37B10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Numerical computation of roots of polynomial equations (65H04)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quadratic Julia sets with positive area
- Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder
- Discreteness criteria for \(\mathcal{RP}\) groups
- Solving the quintic by iteration
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- On the existence of generally convergent algorithms
- Families of rational maps and iterative root-finding algorithms
- Braiding of the attractor and the failure of iterative algorithms
- Asymptotics of the susceptibility for the Ising model on the hierarchical lattices
- Julia sets and complex singularities in hierarchical Ising models
- Complex dynamics
- Mating quadratic maps with the modular group
- Connectivity of Julia sets of Newton maps: a unified approach
- Mating quadratic maps with the modular group II
- Newton's method in practice: finding all roots of polynomials of degree one million efficiently
- Yang-Lee and Fisher zeros of multisite interaction Ising models on the Cayley-type lattices
- Solving the Quintic by Iteration in Three Dimensions
- Around the boundary of complex dynamics
- Iteration theory and inequalities for Kleinian groups
- On the dynamics of rational maps
- Newton's method and a class of meromorphic functions without wandering domains
- Solving the octic by iteration in six dimensions
- On the number of iterations of Newton's method for complex polynomials
- On the number of zeros of certain rational harmonic functions
- Multiple attractors in Newton's method
- On the dynamics of polynomial-like mappings
- On the efficiency of algorithms of analysis
- On Two-Generator Discrete Groups of Mobius Transformations
- Teichmueller spaces of punctured tori: II
- On Discrete Groups of Mobius Transformations
- A NOTE ON SUBGROUPS OF SL(2, C)
- Markoff triples and quasifuchsian groups
- Newton’s method on the complex exponential function
- The Riley Slice of Schottky Space
- Perturbing circle-packing Kleinian groups as correspondences
- On the number of zeros of certain harmonic polynomials
- Some Trace Inequalities for Discrete Groups of Mobius Transformations
- The solar Julia sets of basic quadratic Cremer polynomials
- Dynamics of a Soccer Ball
- How to be sure of finding a root of a complex polynomial using Newton's method
- Pinching holomorphic correspondences
- Dynamics in One Complex Variable. (AM-160)
- How to find all roots of complex polynomials by Newton's method.
