We show that for m and n positive, composite closed orbits realized on the Lorenz-like template L(m, n) have two prime factors, each a torus knot; and that composite closed orbits on L(−1,−1) have either two for three prime factors, two of which are torus knots
One of the greatest pleasures in doing mathematics (and one of the surest signs of being onto someth...
AbstractThe topological types of closed periodic solutions of the Lorenz equations are in one-to-one...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
Abstract. We show that for m and n positive, composite closed orbits realized on the Lorenz-like tem...
In [8] R.F. Williams showed that all knots in the Lorenz template are prime. His proof included the ...
AbstractWe study an Anosov flow ∅t in S3 – \s{figure-8 knot\s}. Birman and Williams conjectured that...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We study an Anosov flow Фt in S3 – {figure-8 knots}. Birman and Williams conjectured that the knot t...
A Lorenz knot is the isotopy class of any periodic orbit in the flow on R 3 given by the Lorenz diff...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
This thesis consists of four chapters, each with its own notation and references. Chapters 1, 2 and ...
We show that a positive braid is composite if and only if the factorization is visually obvious by...
We shall prove that a knot which can be represented by a positive braid with a half twist is prime. ...
We derive various asymptotic formulae for the numbers of closed orbits in the Lorenz and Horseshoe t...
AbstractWe resolve several conjectures of J. Birman and R. F. Williams concerning the knotting and l...
One of the greatest pleasures in doing mathematics (and one of the surest signs of being onto someth...
AbstractThe topological types of closed periodic solutions of the Lorenz equations are in one-to-one...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
Abstract. We show that for m and n positive, composite closed orbits realized on the Lorenz-like tem...
In [8] R.F. Williams showed that all knots in the Lorenz template are prime. His proof included the ...
AbstractWe study an Anosov flow ∅t in S3 – \s{figure-8 knot\s}. Birman and Williams conjectured that...
Templates are branched 2-manifolds with semi-flows used to model chaotic hyperbolic invariant sets...
We study an Anosov flow Фt in S3 – {figure-8 knots}. Birman and Williams conjectured that the knot t...
A Lorenz knot is the isotopy class of any periodic orbit in the flow on R 3 given by the Lorenz diff...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...
This thesis consists of four chapters, each with its own notation and references. Chapters 1, 2 and ...
We show that a positive braid is composite if and only if the factorization is visually obvious by...
We shall prove that a knot which can be represented by a positive braid with a half twist is prime. ...
We derive various asymptotic formulae for the numbers of closed orbits in the Lorenz and Horseshoe t...
AbstractWe resolve several conjectures of J. Birman and R. F. Williams concerning the knotting and l...
One of the greatest pleasures in doing mathematics (and one of the surest signs of being onto someth...
AbstractThe topological types of closed periodic solutions of the Lorenz equations are in one-to-one...
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable pe...