Prof Alexander Clark

Research

Dynamical Systems, Topology, Tiling Spaces

Publications

Publications of specific relevance to the Centre for Complex Systems

2021

Correction to: New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems
Boronski JP, Clark A and Oprocha P
Journal of Dynamics and Differential Equations, Springer Nature vol. 35 (2), 1203-1203.  

DOI 10.1007/s10884-021-10078-2

27-09-2021

New Exotic Minimal Sets from Pseudo-Suspensions of Cantor Systems
Boroński JP, Clark A and Oprocha P
Journal of Dynamics and Differential Equations, Springer Nature vol. 35 (2), 1175-1201.  

DOI 10.1007/s10884-021-10069-3

QMRO

04-09-2021

2020

Pro-groups and generalizations of a theorem of Bing
Clark A, Hurder S and Lukina O
Topology and Its Applications, Elsevier vol. 271 

DOI 10.1016/j.topol.2019.106986

01-02-2020

2019

Classifying matchbox manifolds
CLARK AD, Hurder S and Lukina O
Geometry and Topology, Mathematical Sciences Publishers vol. 23, 1-27.  

DOI 10.2140/gt.2019.23.1

QMRO

05-03-2019

2018

A compact minimal space Y such that its square Y × Y is not minimal
Boroński JP, Clark A and Oprocha P
Advances in Mathematics, Elsevier vol. 335, 261-275.  

DOI 10.1016/j.aim.2018.07.011

QMRO

14-07-2018

Manifold-like matchbox manifolds
Clark AD, Hurder S and Lukina O
Proceedings of The American Mathematical Society, 1-1.  

DOI 10.1090/proc/14200

QMRO

05-05-2018

2017

The homology core of matchbox manifolds and invariant measures
Clark AD and Hunton J
Transactions of The American Mathematical Society, 1-1.  

DOI 10.1090/tran/7398

QMRO

23-09-2017

Small Cocycles, Fine Torus Fibrations, and a Z²Subshift with Neither
Clark A and Sadun L
Annales Henri Poincare vol. 18 (7), 2301-2326.  

DOI 10.1007/s00023-017-0579-9

QMRO

01-07-2017

2016

Preface to the special issue on the Pisot substitution conjecture
Bruin H, Clark A and Fokkink R
Topology and Its Applications, Elsevier vol. 205, 1-3.  

DOI 10.1016/j.topol.2016.01.016

01-06-2016

2014

Shape of matchbox manifolds
Clark A, Hurder S and Lukina O
Indagationes Mathematicae, Elsevier vol. 25 (4), 669-712.  

DOI 10.1016/j.indag.2014.04.006

01-06-2014

The schreier continuum and ends
Clark A, Fokkink R and Lukina O
Houston Journal of Mathematics vol. 40 (2), 569-599.  
01-01-2014

2013

Voronoi tessellations for matchbox manifolds
Clark A, Hurder S and Lukina O
Topology Proceedings vol. 41, 167-259.  
06-05-2013

2012

Tiling spaces, codimension one attractors and shape
Clark A and Hunton J
New York Journal of Mathematics vol. 18, 765-796.  
11-10-2012

Homogeneous matchbox manifolds
Clark A and Hurder S
Transactions of The American Mathematical Society, American Mathematical Society (Ams) vol. 365 (6), 3151-3191.  

DOI 10.1090/s0002-9947-2012-05753-9

03-10-2012

2011

Embedding solenoids in foliations
Clark A and Hurder S
Topology and Its Applications, Elsevier vol. 158 (11), 1249-1270.  

DOI 10.1016/j.topol.2011.04.010

01-07-2011

2009

Solenoidal endomorphisms minimize topological entropy
Clark A and Fokkink R
Nonlinearity, Iop Publishing vol. 22 (7), 1663-1671.  

DOI 10.1088/0951-7715/22/7/010

04-06-2009

Rhombus filtrations and Rauzy algebras
Clark A, Erdmann K and Schroll S
Bulletin Des Sciences MathéMatiques, Elsevier vol. 133 (1), 56-81.  

DOI 10.1016/j.bulsci.2008.08.006

01-01-2009

2007

The Dynamics of Tiling Spaces
Clark A
In Open Problems in Topology II 463-468.  

DOI 10.1016/B978-044452208-5/50046-6

01-12-2007

Self-duality and codings for expansive automorphisms
Clark A and Fokkink R
Topology and Its Applications, Elsevier vol. 154 (13), 2521-2532.  

DOI 10.1016/j.topol.2006.04.032

01-07-2007

Preface
Clark A, Kennedy J and Kuperberg K
Topology and Its Applications, Elsevier vol. 154 (13) 

DOI 10.1016/j.topol.2007.01.015

01-07-2007

Topological rigidity of semigroups of affine maps
Clark A and Fokkink R
Dynamical Systems. vol. 22 (1), 3-10.  

DOI 10.1080/14689360601028043

01-03-2007

2006

When shape matters: deformations of tiling spaces
CLARK A and SADUN L
Ergodic Theory and Dynamical Systems, Cambridge University Press (Cup) vol. 26 (1), 69-86.  

DOI 10.1017/s0143385705000623

13-01-2006

2005

The rotation class of a flow
Clark A
Topology and Its Applications, Elsevier vol. 152 (3), 201-208.  

DOI 10.1016/j.topol.2004.10.019

01-07-2005

Editorial
Clark A and Urbański M
Topology and Its Applications, Elsevier vol. 152 (1-2) 

DOI 10.1016/j.topol.2004.08.010

01-07-2005

2004

On a homoclinic group that is not isomorphic to the character group
Clark A and Fokkink R
Qualitative Theory of Dynamical Systems, Springer Nature vol. 5 (2), 361-365.  

DOI 10.1007/bf02972686

01-09-2004

The linking homomorphism of one-dimensional minimal sets
Clark A and Sullivan MC
Topology and Its Applications, Elsevier vol. 141 (1-3), 125-145.  

DOI 10.1016/j.topol.2003.11.005

01-06-2004

Embedding solenoids
Clark A and Fokkink R
Fundamenta Mathematicae, Institute of Mathematics, Polish Academy of Sciences vol. 181 (2), 111-124.  

DOI 10.4064/fm181-2-2

01-01-2004

2003

When size matters: subshifts and their related tiling spaces
CLARK A and SADUN L
Ergodic Theory and Dynamical Systems, Cambridge University Press (Cup) vol. 23 (4), 1043-1057.  

DOI 10.1017/s0143385702001633

01-08-2003

2002

A generalization of Hagopian's theorem and exponents
Clark A
Topology and Its Applications, Elsevier vol. 117 (3), 273-283.  

DOI 10.1016/s0166-8641(01)00027-x

01-02-2002

2000

Solenoidalization and denjoids
Clark A
Houston Journal of Mathematics vol. 26 (4), 661-692.  
01-12-2000

1999

Linear flows on κ-solenoids
Clark A
Topology and Its Applications, Elsevier vol. 94 (1-3), 27-49.  

DOI 10.1016/s0166-8641(98)00023-6

01-06-1999

Grants

Grants of specific relevance to the Centre for Complex Systems

Early Career Fellowship -Jingwei Liang- Grant Transfer
Alexander Clark
£50,000 Leverhulme Trust
01-12-2020 - 30-11-2022