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Dive into the research topics where Dave Witte Morris is active.

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Featured researches published by Dave Witte Morris.


Algebraic & Geometric Topology | 2006

Amenable groups that act on the line

Dave Witte Morris

Let Gamma be a finitely generated, amenable group. Using an idea of E Ghys, we prove that if Gamma has a nontrivial, orientation-preserving action on the real line, then Gamma has an infinite, cyclic quotient. (The converse is obvious.) This implies that if Gamma has a faithful action on the circle, then some finite-index subgroup of Gamma has the property that all of its nontrivial, finitely generated subgroups have infinite, cyclic quotients. It also means that every left-orderable, amenable group is locally indicable. This answers a question of P Linnell.


Ergodic Theory and Dynamical Systems | 2005

Unipotent flows on the space of branched covers of Veech surfaces

Alex Eskin; Jens Marklof; Dave Witte Morris

There is a natural action of SL


Ars Mathematica Contemporanea | 2011

Hamiltonian cycles in Cayley graphs whose order has few prime factors

Klavdija Kutnar; Dragan Marušič; Dave Witte Morris; Joy Morris; Primož Šparl

(2,\mathbb{R})


Transactions of the American Mathematical Society | 2004

Cartan-decomposition subgroups of (2,)

Hee Oh; Dave Witte Morris

on the moduli space of translation surfaces, and this yields an action of the unipotent subgroup


Ars Mathematica Contemporanea | 2012

Cayley graphs of order 16p are hamiltonian

Stephen J. Curran; Dave Witte Morris; Joy Morris

U = \big\{\big(\begin{smallmatrix}1 & * \\ 0 & 1\end{smallmatrix}\big)\big\}


Ars Mathematica Contemporanea | 2013

Cayley graphs on nilpotent groups with cyclic commutator subgroup are hamiltonian

Ebrahim Ghaderpour; Dave Witte Morris

. We classify the U -invariant ergodic measures on certain special submanifolds of the moduli space. (Each submanifold is the SL


Geometriae Dedicata | 2004

Tessellations of homogeneous spaces of classical groups of real rank two

Alessandra Iozzi; Dave Witte Morris

(2,\mathbb{R})


International Journal of Combinatorics | 2011

Cayley Graphs of Order 27p Are Hamiltonian

Ebrahim Ghaderpour; Dave Witte Morris

-orbit of the set of branched covers of a fixed Veech surface.) For the U -action on these submanifolds, this is an analogue of Ratners theorem on unipotent flows. The result yields an asymptotic estimate of the number of periodic trajectories for billiards in a certain family of non-Veech rational triangles, namely, the isosceles triangles in which exactly one angle is


Ars Mathematica Contemporanea | 2015

On colour-preserving automorphisms of Cayley graphs

Ademir Hujdurović; Klavdija Kutnar; Dave Witte Morris; Joy Morris

2 \pi/n


Ars Mathematica Contemporanea | 2014

Odd-order Cayley graphs with commutator subgroup of order pq are hamiltonian

Dave Witte Morris

, with

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Joy Morris

University of Lethbridge

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Kerri Webb

University of Lethbridge

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