Alex  Clark    Reader

Office College House 204                                                  Phone (0116) 252 5670 adc20_AT_le.ac.uk

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Research

Research Interests

• Solenoids Bihomogeneity, Embeddings with Robbert Fokkink ; Embeddings in Foliations with Steve Hurder

• Tiling Spaces Cohomology and Dynamics with Lorenzo Sadun;  Embeddings  in Manifolds with  John Hunton

• Linking of Minimal Sets of Flows with Michael Sullivan

• Affine Maps of Compact Abelian Groups Rigidity and Ergodic Properties with Robbert Fokkink

• Path Algebras Associated to Tilings  with Sibylle Schroll and Karin Erdmann

Publications and Preprints

• Solenoidal minimal sets for foliations, (with S. Hurder).

• Solenoidal endomorphisms minimize topological entropy (with R. Fokkink), Nonlinearity 22 (2009) 1663-1671. 

• Rhombus filtrations and Rauzy algebras (with K. Erdmann and S. Schroll),  Bulletin des sciences mathematiques 133,  (2009), pp. 56-81. 

• Symbolic codings and algebraic dynamical systems, (with Robbert Fokkink), Top. Appl. 154 (13), (2007), pp. 2521-2532.

• Questions on the dynamics of tilings,  Open Problems in Topology II, Elsevier  (2007), pp. 463-468.

• Topological rigidity of semigroups of affine maps (with Robbert Fokkink), Dynamical Systems,22 (2007), pp. 3-10.

• On a homoclinic group that is not isomorphic to the character group (with Robbert Fokkink), Qualitative Theory of Dynamical Systems, Vol. 5, no. 2, pp. 361-5.

• When shape matters: deformations of tiling spaces, (with Lorenzo Sadun),  Ergodic Theory & Dynamical Systems, 26 (2006), pp. 69-86.

• The rotation class of a flow, Topology and its Applications, 152 (2005), pp. 201-208.

• Embedding Solenoids (with Robbert Fokkink), Fundamenta Mathematicae, 181 , number 2, (2004), pp. 111-124.

• The linking homomorphism of one-dimensional minimal sets, (with Michael Sullivan), Topology and its Applications, 141 (2004), pp. 125-45.

• The Classification of Tiling Space Flows, Universitatis Iagellonicae Acta Mathematica, XLI, (2003), pp. 49-55.

• When size matters: subshifts and their related tiling spaces, (with Lorenzo Sadun), Ergodic Theory & Dynamical Systems, 23 (2003), pp. 1043-4058.

• Bihomgeneity of solenoids, (with Robbert Fokkink) Algebraic and Geometric Topology, 2, (2002) pp. 1-9.

• A generalization of Hagopian's theorem and exponents, Topology and its Applications, 117, (2002), pp. 273-283.

• The Dynamics of Maps of Solenoids Homotopic to the Identity, (pdf) Lecture Notes in Pure and Applied Mathematics, 230, Marcel Dekker, (2002), pp. 127-136.

• Flows on solenoids are generically not almost periodic, Geometry and Topology in Dynamics, Contemporary Mathematics (AMS), 246 (1999), pp. 57-63.

• Exponents and almost periodic flows, Topology Proceedings, 24, (1999), pp. 105-134.

• Solenoidalization and denjoids, (pdf) Houston Journal of Mathematics, 26, No. 4, (2000), pp. 661-692.

• Linear flows on k-solenoids, Topology and its Applications, 94 (1999), pp. 27-49.

 

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Teaching and Seminars

Spring 2009

• MA1152 Introductory Linear Algebra
  
• MA2151/2 Metric and Topological Spaces
  

• Pure Maths Internal Seminar

• Groupoids Seminar

Links

• Krystyna Kuperberg (Advisor)

• Transpennine Topology Triangle

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