## Alex Clark

## Associate Professor

Department of Mathematics

P.O. Box 311430

University of North Texas

Denton, TX 76203-1430Office GAB 417

Phone: (940) 565-4701

Office Hours T/Th 12:30-2:30

## Research

## Publications and Preprints

- Endomorphism of compact abelian groups minimize entropy (with R. Fokkink), submitted for publication.
- Rhombus filtrations and Rauzy algebras (with K. Erdmann and S. Schroll), submitted for publication.
- Questions on the dynamics of tilings, to appear in Open Problems in Topology 2.
- On rigidity of algebraic dynamical systems (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.

## Teaching

## Spring Semester 2007

- Math 2730 Syllabus

- Test 2 Review

- Test 2, 6&7 Review

HW Due Tues, Jan 23: 9.4 3,5,11,13,21,25,29,33; 9.5 1,5,7,11,17,19,21,23,33,37,41,45

HW Due Tues, Jan 30: 9.6 1,2,5,6,8,11,23,29,31,33,39,41,43,55,59,61

9.7 13,17,19,21,31,33,35,37,52

HW Due Tues, Feb 6: 10.1 1,3,9,15,19,25,33,37

10.2 1,7,11,13,19,21,23,25,27,35,51,73

10.3 1,5,9,11,15

HW Due Tues, Feb 13: 10.4 1,3,11,15,17,25,35,39

10.5 1,5,7,13,21,23,25,27,33,39,41,47,53,57

HW Due Tues, Feb 20: 11.1 1,3,5,7,13,21,25,27,33,35,37,42,44

11.3 1,3,5,9,11,13,15

HW Due Tues, Feb 27: 12.1 1,3,5,7,13,14,15,16,21,29,35,37,41

12.2 1,9,11,13,15,21,29,31,35,37,39,51,53

HW Due Tues, March 6: 12.3 1,3,12,19,23,32,41,43,47,49

HW Due Tues, March 13: 12.5 1,3,5,7,9,11,17,25,27,29,41,47

12.7 1,5,9,10,13,17,21,25,27,29,31,33,35,37,39,43,45,47,49

HW Due Tues, March 27: 12.8 1,3,7,15,19,21,23,25,29,31,33,35

12.9 1,3,5,9,11,13,15

HW Due Tues, April 3: 12.9 17,21,25,27,33,35,37

12.10 1-9, Odd

HW Due Tues, April 10: 13.1 1,3,5,11,13,15,17,21-37 Odd,41,45,49,51,53

HW Due Tues, April 24: 13.3 1,3,5,9,11,13,15,17,19,21,35

13.4 1,3,5,7,15,17,19,21,23,25,27,29,33,41,43

HW Due Thurs, April 26: 13.6 7,11 a),15,17,19,21,33,35,37,43,45,49,51,57,59

13.7 1,3,5,9,11,15,19

- Math 4500 Syllabus

HW Due Tues, Jan 30: 1.1,2.1,2.4,2.5,2.7,2.8,2.10,2.11,2.13-2.16

HW Due Tues, Feb 13: 2.21,2.23,2.25,2.28,2.29

HW Due Thurs, Feb 22: 3.1,3.2,3.3,3.4,3.6,3.9,3.10,3.14

HW Due Tues, March 13: 3.29,3.33,3.34

HW Due Tues, April 17(change): 4.6,4.12,4.14,4.18,4.19,4.20(1),4.21

- Midterm Review

- Projects

## Links

This page last modified 31 January 2007

Email comments toalexc_AT_unt.edu