MATHEMATICS
AND PHYSICS PUBLICATIONS
General Transformation Formulas for Fermi-Walker Coordinates (with Peter Collas) Classical and Quantum Gravity, Vol. 25, 145019 (17pp) (2008) DOI: 10.1088/0264-9381/25/14/145019, [gr-qc] arxiv.org/abs/0712.3838v4
A Statistical Mechanical Problem in Schwarzschild Spacetime, (with Peter Collas) General Relativity and Gravitation Vol. 39, no. 5, p. 737-755 (2007) Preprint DOI: 10.1007/s10714-007-0416-4A Simple Criterion for Nonrotating Reference Frames, (with Peter Collas) General Relativity and Gravitation, Vol. 36, no. 6, p. 1493-1499 (2004). Preprint
Frame Dragging Anomalies for Rotating Bodies (with Peter Collas) General Relativity and Gravitation, Vol. 36, 5, p. 1197-1206 (2004) Preprint
Analyticity of the free energy of the Ising model on the hierarchical modified Koch curve, (with Leonid Malozemov, Ramin Vakilian) Far East Journal for Dynamical Systems Vol. 2, p. 21-39 (2000).
An "FKG Equality
" with
Applications to Random
Environments, (with Wei-Shih Yang) Statistics and
Probability
Letters, Vol. 46, p.
203-209 (2000)
Convergence of Hamiltonian Systems
to Billiards, (with Peter Collas and
Hans-Peter Schwebler) Chaos. An Interdisciplinary Journal of
Nonlinear Science, Vol. 8, p. 466-474 (1998)
An Ergodic Adding Machine on the
Cantor Set, (with Peter
Collas) L'Enseignement Mathematique, Vol. 40,
p.249-266 (1994). Preprint
A Generalization of Poisson
Convergence to 'Gibbs
Convergence' with Applications to Statistical Mechanics, (with
Lincoln Chayes) Helvetica
Physica Acta, Vol. 67 p.30-42 (1994). Preprint
Characterization of First Order Phase Transitions for
Superstable Interactions in Classical Statistical Mechanics, (with
Wei-Shih Yang) This Extended
Version
(pdf file) includes more details of proofs than the published
version
in the Journal of Statistical Physics, Vol. 71 p. 1043-1061 (1993).
Absence of First Order Phase Transitions for Antiferromagnetic Systems, (with Wei-Shih Yang) Journal of Statistical Physics, Vol. 70 p. 1391-1400 (1993).
Classical Antiferromagnets: Correlation Inequalities and Remarks on the Phase Diagram, (with Wei-Shih Yang) Proceedings of the Conference on Probability Models in Mathematical Physics, (Colorado Springs 1990) World Scientific Publishing Co. (1991).
Low Temperature Smoothness of the
Pressure for
Antiferromagnets and Other Models, (with Wei-Shih Yang) Journal
of Mathematical Physics, Vol. 32,
p. 2181-2185 (1991). Preprint
Some Correlation Inequalities for
Ising
Antiferromagnets, (with Wei-Shih Yang) Journal of Statistical
Physics, Vol. 57, p. 1049-1058
(1989). Preprint
Self-Repelling Processes
Associated with Brownian
Motions, (with Wei-Shih Yang) Journal of Functional
Analysis, Vol. 84, p.322-342 (1989).
Phase Transition for a
One-Dimensional Lattice Gas
with Hard-Core, (with Wei-Shih Yang) Journal of Statistical
Physics, Vol. 52, p. 735-745 (1988).
A Note on the Critical Dimension
for Weakly
Self-Avoiding Walks, (with Wei-Shih Yang) Probability Theory and
Related Fields, Vol. 79, p.
99-114 (1988).
Absence of Phase Transitions for
Continuum Models
of Dimension d > 1, (with Wei-Shih Yang) Journal
of Mathematical Physics, Vol. 29, p.
1130-1133 (1988).
A Class of Continuum Models with
no Phase Transitions, Journal of Mathematical Physics, Vol. 27,
p. 2872-2875 (1986).
Uniqueness of Continuum
One-dimensional Gibbs States for Slowly
Decaying Interactions, Journal of Statistical Physics, Vol. 43
no.s 1/2
p. 207-218 (1986).
Uniqueness of One-Dimensional
Continuum Gibbs States, Communications
in Mathematical Physics, Vol. 97, p. 595-604 (1985).
Convergence of Grand Canonical Gibbs Measures, Communications in Mathematical Physics, Vol. 92, p. 295-308 (1984).
Dobrushin
Uniqueness Techniques
and the Decay of Correlations in
Continuum Statistical Mechanics, Communications in
Mathematical
Physics, Vol. 86, p. 227-246 (1982).
HISTORY
OF MATHEMATICS EDUCATION PUBLICATIONS
A quarter century of US 'math wars' and political partisanship, (c) Taylor & Francis, 2007. This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution. The definitive version was published in BSHM Bulletin: Journal of the British Society for the History of Mathematics, Volume 22 Issue 1, p. 22-33, January 2007 doi:10.1080/17498430601148762 (http://dx.doi.org/10.1080/17498430601148762)The BSHM Bulletin is available online at: http://www.tandf.co.uk/journals/titles/17498430.asp
MATHEMATICS
TEACHER EDUCATION BOOK CHAPTERS
Contributing Editor and Contributing Writer, Mathematics Chapter, In:
Core Knowlege Grade
5 Teacher Handbook, Core Knowledge Foundation, Charlottesville,
Virginia pp 419-550, April, 2006
Contributing Editor and Contributing Writer, Mathematics Chapter, In:
Core Knowlege Grade
4 Teacher Handbook, Core Knowledge Foundation, Charlottesville,
Virginia pp 349-454, December, 2005
Contributing Editor and Contributing Writer, Mathematics Chapter, In:
Core Knowlege Grade
3 Teacher Handbook, Core Knowledge Foundation, Charlottesville,
Virginia pp 277-370, August, 2005
Contributing Editor and Contributing Writer, Mathematics Chapter, In:
Core Knowlege Grade
2 Teacher Handbook, Core Knowledge Foundation, Charlottesville,
Virginia pp 335-408, April 2005
Contributing Editor and Contributing Writer, Mathematics Chapter,
In: Core Knowlege Grade
1 Teacher Handbook, Core Knowledge Foundation, Charlottesville,
Virginia pp 259-316, December 2004
Contributing Editor and Contributing Writer, Mathematics Chapter, In:
Core Knowlege Grade
K Teacher Handbook, Core Knowledge Foundation, Charlottesville,
Virginia pp 215-262, October 2004
More articles on mathematics education appear on David Klein's homepage