Topological entropy of one-dimensional maps: Approximations and bounds

N.J. Balmforth; E.A. Spiegel; C. Tresser

doi:10.1103/PhysRevLett.72.80

Physical Review Letters

Paper

03 Jan 1994

Topological entropy of one-dimensional maps: Approximations and bounds

View publication

Abstract

We present a method for computing the topological entropy of one-dimensional maps. As an approximation scheme, the algorithm converges rapidly and provides both upper and lower bounds. © 1994 The American Physical Society.

Conference paper

Error bounds for error diffusion and other mathematical problems arising in digital halftoning

R. Adler, B. Kitchens, et al.

IS&T/SPIE Electronic Imaging 2000

Paper

Monotonicity properties of the family of trapezoidal maps

K.M. Brucks, M. Misiurewicz, et al.

Commun. Math. Phys.

Paper

Checkerboard maps

N.J. Balmforth, E.A. Spiegel, et al.

Chaos

Paper

Convex dynamics with constant input

R. Adler, Tomasz J. Nowicki, et al.

Ergodic Theory and Dynamical Systems

View all publications

Abstract

Related

Error bounds for error diffusion and other mathematical problems arising in digital halftoning

Monotonicity properties of the family of trapezoidal maps

Checkerboard maps

Convex dynamics with constant input