Research Publications: link to mathscinet link to INSPIRE

Preprints and reprints below are pdf files:

MATHEMATICS
AND PHYSICS PUBLICATIONS

Maximal Fermi charts and geometry of inﬂationary universes, Annales Henri Poincaré, Vol. 14, p. 1525 - 1550, (2013) DOI: 10.1007/s00023-012-0227-3. For a preprint click here, or see ArXive: arXiv:1210.7651 [math-ph]

Relative velocities, geometry, and expansion of space (with Vicente J. Bolós and Sam Havens*), Recent Advances in Cosmology, NOVA Science Publishers, Inc. (2013) ArXive: arXive:1210.3161 [gr-qc]

Relative velocities for radial motion in expanding Robertson-Walker spacetimes (with Vicente J. Bolós), General Relativity and Gravitation, Vol. 44, p. 1361-1391 (2012) DOI: 10.1007/s10714-012-1344-5 for a preprint click here, ArXive: arXiv:1106.3859v1 [gr-qc]

Grand canonical ensembles in general relativity (with Wei-Shih Yang), Mathematical Physics, Analysis, and Geometry, Vol. 15, p. 61 - 83 (2012) DOI: 10.1007/s11040-011-9103-5; for a preprint click here, ArXive: arXiv:1009.3846v2 [math-ph]

Embeddings and time evolution of the Schwarzschild wormhole (with Peter Collas) American Journal of Physics, Vol. 80, p. 203-210 (2012); DOI: 10.1119/1.3672848 for a preprint click here, ArXive: arXiv:1107.4871 [gr-qc]

Fermi coordinates, simultaneity, and expanding space in Robertson-Walker cosmologies (with Evan Randles*), Annales Henri Poincaré, Vol. 12, p. 303-328 (2011), DOI: 10.1007/s00023-011-0080-9. For a preprint click here, or see ArXive: arxiv.org/abs/1010.0588

Recessional velocities and Hubble's Law in
Schwarzschild-de Sitter space (with Peter
Collas) Physical Review D, Vol. 81, 063518
(2010),
DOI: 10.1103/PhysRevD.81.063518,
Archive: arxiv.org/abs/1001.1875
[gr-qc] Erratum
(2011)

Exact Fermi coordinates for a class of spacetimes (with Peter Collas) Journal of Mathematical Physics Vol. 51, 022501, (10 pp) (2010). This article may be downloaded for personal use only, and may be found online at the AIP website here. Any other use requires prior permission of the author and the American Institute of Physics. Copyright 2010, American Institute of Physics. DOI:10.1063/1.3298684, ArXive: arXiv:0912.2779v1

Timelike
Killing Fields and Relativistic Statistical Mechanics
(with
Peter Collas) Classical and
Quantum Gravity, Vol. 26, no. 4, 045018 (16 pp) (2009) DOI:10.1088/0264-9381/26/4/045018
ArXive:: arXiv:0810.1776v2
[gr-qc],
PreprintExact Fermi coordinates for a class of spacetimes (with Peter Collas) Journal of Mathematical Physics Vol. 51, 022501, (10 pp) (2010). This article may be downloaded for personal use only, and may be found online at the AIP website here. Any other use requires prior permission of the author and the American Institute of Physics. Copyright 2010, American Institute of Physics. DOI:10.1063/1.3298684, ArXive: arXiv:0912.2779v1

General Transformation Formulas for Fermi-Walker Coordinates (with Peter Collas) Classical and Quantum Gravity, Vol. 25, no. 14, 145019 (17pp) (2008) DOI: 10.1088/0264-9381/25/14/145019, ArXive: arXiv.org/abs/0712.3838v4 [gr-qc]

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/s10714-007-0416-4, ArXive: arXiv:gr-qc/0603086v3*A Simple Criterion for Nonrotating Reference Frames,* (with
Peter
Collas) General Relativity and Gravitation, Vol. 36, no. 6, p.
1493-1499
(2004), DOI: 10.1023/B:GERG.0000022585.68675.38,
Preprint, ArXive: arXiv.org/abs/0811.2474

*Frame Dragging Anomalies for Rotating Bodies* (with Peter
Collas) General Relativity and Gravitation, Vol. 36, 5, p.
1197-1206 (2004) DOI: 10.1023/B:GERG.0000018286.98387.64,
Preprint,
updated at ArXive: arXiv.org/abs/0811.2471

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). DOI: 10.1007/BF01049441

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) DOI: 10.1007/BF01019727.

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). DOI: 10.1063/1.527953

A Class of Continuum Models with
no Phase Transitions, Journal of Mathematical Physics, Vol. 27,
p. 2872-2875 (1986). DOI: 10.1063/1.527264

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).

*Sam Havens (Masters Thesis)
and Evan Randles (Masters Thesis)
were CSUN graduate students at the time of
the writing of
the articles.

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

A Brief History of American K-12 Mathematics Education in the 20th Century, preprint, Chapter 7 of

High Achievement in Mathematics: Lessons from Three Los Angeles Elementary Schools, a report commissioned by the Brookings Institution, August 2000. Published as Chapter 8 in

What's at Stake in the K-12 Standards Wars: A Primer for Educational Policy Makers, Sandra Stotsky (editor), Peter Lang Press, Chapter 13:

Book Review: Angela Lynn Evans Walmsley, A history of mathematics education during the twentieth century, University Press of America, Inc., 2007; Reviewed in: BSHM Bulletin: Journal of the British Society for the History of Mathematics, Volume 24 pp 59-61 (2009)

Book Review: The Death and Life of the Great American School System: How Testing and Choice Are Undermining Education, by Diane Ravitch, Basic Books, 2010, Reviewed in Educational Horizons, Vol. 88, No. 4, Summer 2010, p. 194-198

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

EVALUATION
OF STATE K-12 MATHEMATICS STANDARDS

The State of State Math Standards 2005, by David
Kleinwith Bastiaan J. Braams, Thomas Parker, William Quirk, Wilfried Schmid, and W. Stephen Wilson

Technical assistance from Ralph A. Raimi and Lawrence Braden

Analysis by Justin Torres

Foreword by Chester E. Finn, Jr.

What's at Stake in the K-12 Standards Wars: A Primer for Educational Policy Makers, Sandra Stotsky (editor), Peter Lang Press, Chapter 3: Standards-Based Mathematics Assessments: Appearances May be Deceiving, by Paul Clopton, Wayne Bishop, and David Klein, 2000

ACADEMIC FREEDOM

Why is Norman
Finkelstein Not Allowed to Teach? Works
and
Days, special issue: Academic
Freedom and Intellectual Activism in the Post-9/11 University,
Vols 26 & 27, pp. 307- 322 (2009).

More articles on mathematics education appear on David Klein's homepage