P. Boyland

activity

19922025

most citedNew Rotation Sets in a Family of Torus Homeomorphisms

30 citations · 125 across the 23 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DS2017

Typical path components in tent map inverse limits

Philip Boyland, André de Carvalho, Toby Hall

In the inverse limit $I^_{s}$ of a tent map $f_{s}$ restricted to its core, the set $G R$ of points whose path components are bi-infinite and bi-dense has full measure…

math.DS2017★ 8 cited

Natural extensions of unimodal maps: virtual sphere homeomorphisms and prime ends of basin boundaries

Philip Boyland, André de Carvalho, Toby Hall

Let ${f_{t} : I \to I}$ be a family of unimodal maps with topological entropies $h (f_{t}) > \frac{1}{2} lo g 2$ , and $f_{t} : I_{t} \to I_{t}$ be their nat…

math.DS2017★ 7 cited

Itineraries for Inverse Limits of Tent Maps: a Backward View

Philip Boyland, André de Carvalho, Toby Hall

Previously published admissibility conditions for an element of ${0, 1}^{Z}$ to be the itinerary of a point of the inverse limit of a tent map are expressed in terms of f…