David Waxman's
Publications
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2010

Scaling and Fractal Behaviour Underlying Meiotic Recombination
D. Waxman and N. Stoletzki
Biosystems 99: 42-49 (2010)
Abstract, Full Text


2009

Absence of Close-facing Retrotransposons: A Comparison of Molecular Data and Theory
Alexandros Bousios, David Waxman and Stephen Pearce
Journal of Theoretical Biology: In Press (2009)
Abstract

A Problem With the Correlation Coefficient as a Measure of Gene Expression Divergence
Vini Pereira, David Waxman and Adam Eyre-Walker
Genetics: In Press (2009)
Abstract

Fundamental Insights into the Random Movement of Animals from a Single Distance-Related Statistic
P. Nouvellet, J. P. Bacon and D. Waxman
American Naturalist 174: 506-514 (2009)
Abstract, Full Text, Appendix A, Appendix B, Appendix C, Appendix D, Appendix E

Fixation at a Locus with Multiple Alleles: Structure and Solution of the Wright Fisher Model
D. Waxman
Journal of Theoretical Biology 257: 245-251 (2009)
Abstract, Full Text

The Dynamics Induced in a Biological System by Broken Mutational Symmetry and Non-Linear Feedback
D. Waxman
Conference Paper. Systems Theory: Modelling, Analysis and Control, May 25-28 Fes Morocco (2009)
Abstract, Full Text


2008

Divergence and Polymorphism under the Nearly Neutral Theory of Molecular Evolution
J. J. Welch, A. Eyre-Walker and D. Waxman
Journal of Molecular Evolution 67: 418-426 (2008)
Abstract, Full Text

Pleiotropic Scaling and QTL Data. Reply
G. P. Wagner, J. P. Kenney-Hunt, M. Pavlicev, J. R. Peck, D. Waxman and J. M. Cheverud
Nature 456: E4 (2008)
Full Text

Adaptation to Slow Environmental Change, with Apparent Anticipation of Selection
M. Sato and D. Waxman
Journal of Theoretical Biology 252: 166-172 (2008)
Abstract, Full Text

Threshold Bound States
W. A. Berger, H. G. Miller and D. Waxman
European Physical Journal A37: 357-360 (2008)
Abstract, Full Text

Calculating Independent Contrasts for the Comparative Study of Substitution Rates
J. J. Welch and D. Waxman
Journal of Theoretical Biology 251: 667-678 (2008)
Abstract, Full Text

Pleiotropic Scaling of Gene Effects and the 'Cost of Complexity'
G. P. Wagner, J. P. Kenney-Hunt, M. Pavlicev, J. R. Peck, D. Waxman and J. M. Cheverud
Nature 452: 470-472 (2008)
Abstract, Full Text


2007

Parameter-free Testing of the Shape of a Probability Distribution
M. Broom, P. Nouvellet, J. P. Bacon and D. Waxman
BioSystems 90: 509-515 (2007)
Abstract, Full Text

Singular Solutions of the Diffusion Equation of Population Genetics
A. J. McKane and D. Waxman
Journal of Theoretical Biology 247: 849-858 (2007)
Abstract, Full Text

Mean Curvature Versus Normality: A Comparison of Two Approximations of Fisher's Geometrical Model
D. Waxman
Theoretical Population Biology 71: 30-36 (2007)
Abstract, Full Text


2006

Fisher's Geometrical Model of Evolutionary Adaptation - Beyond Spherical Geometry
D. Waxman
Journal of Theoretical Biology 241: 887-895 (2006)
Abstract, Full Text

The Frequency of the Perfect Genotype in a Population Subject to Pleiotropic Mutation
D. Waxman and J. R. Peck
Theoretical Population Biology 69: 409–418 (2006)
Abstract, Full Text

Near-periodic Substitution and the Genetic Variance Induced by Environmental Change
Y. Bello and D. Waxman
Journal of Theoretical Biology 239: 152–160 (2006)
Abstract, Full Text


2005

Fisher's Microscope and Haldane's Ellipse
D. Waxman and J. J. Welch
American Naturalist 166: 447-457 (2005)
Abstract, Full Text

Implications of Long Tails in the Distribution of Mutant Effects
D. Waxman and J. Feng
Physica D 206: 265-274 (2005)
Abstract, Full Text

Issues of Terminology, Gradient Dynamics and the Ease of Sympatric Speciation in Adaptive Dynamics
D. Waxman and S. Gavrilets
Journal of Evolutionary Biology 18: 1214-1219 (2005)
Full Text

20 Questions on Adaptive Dynamics
D. Waxman and S. Gavrilets
Journal of Evolutionary Biology 18: 1139–1154 (2005)
Abstract, Full Text (and all Commentaries)

Dynamics of a Quantitative Character Subject only to Stabilizing Selection
D. Waxman
Mathematical Biosciences 194: 81-93 (2005)
Abstract, Full Text

The nk Model and Population Genetics
J. J. Welch and D. Waxman
Journal of Theoretical Biology 234: 329-340 (2005)
Abstract, Full Text

Ant Navigation: Reading Geometrical Signposts
Thomas S. Collett and David Waxman
Current Biology 15: R171-R173 (2005)
Full Text


2004

A One Locus, Biased Mutation Model and its Equivalence to an Unbiased Model
D. Waxman and J. R. Peck
BioSystems 78: 93-98 (2004)
Abstract, Full Text

Mutation and Selection in a Large Population
J. R. Peck, D. Waxman and A. Cruikshank
BioSystems 74: 15-27 (2004)
Abstract, Full Text

Application of a Generalised Levy Residence Time Problem to Neuronal Dynamics
David Waxman and Jianfeng Feng
Europhysics Letters 65: 434-439 (2004)
Abstract, Full Text


2003

Mathematical Analysis of a Model Describing Evolution of an Asexual Population in a Changing Environment
M. Broom, Q. Tang and D. Waxman
Mathematical Biosciences 186: 93-108 (2003)
Abstract, Full Text

Evolution in a Changing Environment: Existence of Solutions
P. Rybka, Q. Tang and D. Waxman
Colloquium Mathematicum 98: 97-111 (2003)
Abstract

The Anomalous Effects of Biased Mutation
D. Waxman and J. R. Peck
Genetics 164: 1615-1626 (2003)
Abstract, Full Text

Modularity and the Cost of Complexity
John Welch and David Waxman
Evolution 57: 1723-1734 (2003)
Abstract, Full Text

Non-equivalent Loci and Mutation-Selection Balance
David Waxman and John Welch
Theoretical Population Biology 63: 339-345 (2003)
Abstract, Full Text

An Integral Equation Describing an Asexual Population in a Changing Environment
Q. Tang and D. Waxman
Nonlinear Analysis: Theory, Methods & Applications 53: 683-699 (2003)
Abstract, Full Text

The Balance between Pleiotropic Mutation and Selection, when Alleles have Discrete Effects
D. Waxman
Theoretical Population Biology 63: 105-114 (2003)
Abstract, Full Text

Numerical and Exact Solutions for Continuum of Alleles Models
D. Waxman
Journal of Mathematical Biology 46: 225-240 (2003)
Abstract, Full Text

Book Review of Advanced Mathematical Methods by D. Richards.
D. Waxman
Contemporary Physics 44: 157-158 (2003)

Book Review of A Guide to First Passage Processes by S. Redner.
D. Waxman
Contemporary Physics 44: 371 (2003)


2002

Sympatric Speciation by Sexual Conflict
S. Gavrilets and D. Waxman
Proceedings of the National Academy of Sciences 99: 10533-10538 (2002)
Abstract, Full Text

Non-Equivalent Loci and the Distribution of Mutant Effects
J. Welch and D. Waxman
Genetics 161: 897-904 (2002)
Abstract, Full Text

Ants Ordering Ants to Feed
D. Waxman
Trends in Ecology and Evolution 17: 103-104 (2002)
Full Text

Phage Lambda Takes the First Exit
L. Bromham and D. Waxman
Trends in Ecology and Evolution 17: 160 (2002)
Full Text

A Model of Population Genetics and its Mathematical Relation to Quantum Theory
D. Waxman
Contemporary Physics 43: 13-20 (2002)
Abstract


2000

Dynamics of a Multilocus Trait
D. Waxman
Selection: Molecules, Genes, Memes 1: 229-245 (2000)
Abstract, Full Text

The Outcome of Evolution when Mutations are Highly Pleiotropic
D. Waxman and J. R. Peck
Selection: Molecules, Genes, Memes 1: 181-191 (2000)
Abstract, Full Text

Mutation and Sex in a Competitive World
J. R. Peck and D. Waxman
Nature 406: 399-403 (2000)
Abstract, Full Text

What's Wrong with a Little Sex?
J. R. Peck and D. Waxman
Journal of Evolutionary Biology 13: 63-69 (2000)
Abstract, Full Text


1999

Sex and Adaptation in a Changing Environment
D. Waxman and J. R. Peck
Genetics 153: 1041-1053 (1999)
Abstract, Full Text

Why do Asexuals Live where they do?
J. R. Peck, J. Yearsley and D. Waxman
In C. Nehaniv (Ed) Lectures on Mathematics in the Life Sciences.
American Mathematical Society 26: 121-131 (1999)
Abstract


1998

Pleiotropy and the Preservation of Perfection
D. Waxman and J. R. Peck
Science 279: 1210-1213 (1998)
Abstract, Full Text, see also a commentary on this work by Günter Wagner

Why do Asexual and Self Fertilizing Populations tend to occur In Marginal Environments
J. R. Peck, J. M. Yearsley and D. Waxman
Nature 391: 889-892 (1998)
Abstract, Full Text

Numerical Determination of Bound States without Matrix Diagonalisation
D. Waxman
J. Phys A31: 1329-1339 (1998)
Abstract, Full Text


1997

What Determines Fitness when Dispersal is Limited
J. R. Peck and D. Waxman
Evolution 51: 1036-1043 (1997)
Abstract


1996

Current Carried by Bound States of a Superconducting Vortex
D. Rainer, J. A. Sauls and D. Waxman
Phys Rev B54: 10094-10106 (1996)
Full Text

The Bosonic Heat Bath Associated with a Moving Soliton in a Fermionic System
D. Waxman, G. Williams and N. Schopohl
Europhys Lett 33: 503-508 (1996)
Full Text


1995

Impact of Computer Algebra on Physics
D. Waxman
Contemporary Physics 36: 321-327 (1995)
Full Text

NMR Study of the Effect of Flow on ³He-B
D. Kruppa, D. F. Brewer, J. Hutchins and D. Waxman
J Low Temp Phys 100: 441-461 (1995)
Abstract

The Fredholm Determinant for a Dirac Hamiltonian with a Topological Mass Term
D. Waxman
Ann Phys (NY) 241: 285-300 (1995)
Full Text


1994

Perturbative Approach to Landau Zener Transitions
D. Waxman
Ann Phys (NY) 236: 205-216 (1994)
Abstract, Full Text

The Fredholm Determinant for a Bogoliubov Operator
D. Waxman
Phys Rev Lett 72: 570-573 (1994).
Full Text

On the Hindered Circulation of Charged Particles around Rings Enclosing a Varying Magnetic Flux
G. Barton and D. Waxman
Ann Phys (NY) 231: 127-148 (1994)
Abstract, Full Text

The Fredholm Determinant of a Dirac Operator
D. Waxman
Ann Phys (NY) 231: 256-269 (1994)
Abstract, Full Text


1993

The Density of States for Fermi Superfluids with Layered Structures in the Order Parameter
D. Waxman and K. D. Ivanova-Moser
Ann Phys (NY) 226: 271-292 (1993)
Abstract, Full Text

The Low Energy Local Density of States of an Isolated Vortex in an Extreme type II Superconductor
D. Waxman
Ann Phys (NY) 223: 129-148 (1993)
Abstract, Full Text

Addendum to Non-Analytic Behaviour of the Free Energy of Fermions Coupled to Small Solitons
M. Nakahara, D. Waxman, and G. Williams
J Phys A26: 765-768 (1993)
Full Text


1992

The Moving A-B Phase Boundary of Superfluid ³He
N. Schopohl and D. Waxman
Physica B178: 158-159 (1992)

Estimate of the Core Size of a Vortex in an Extreme Type II Superconductor
D. Waxman and G. Williams
Ann Phys (NY) 220: 274-299 (1992)

The Moving A-B Phase Boundary of Superfluid ³He
N. Schopohl and D. Waxman
J Phys C4: L639-L646 (1992)
Full Text

The Free Energy of Solitons Coupled to Fermions: Absence of a Gradient Expansion at Zero Temperature due to Bound States
D. Waxman and G. Williams
J Phys A25: 1593-1604 (1992)
Full Text

A Case Study of an Exactly Solvable Heat Kernel
D. Waxman and G. Williams
J Phys A25: 3303-3318 (1992)
Full Text

Spinning Particle-Like Solitons in Superfluid ³He-B
D. Waxman and G. Williams
Z Phys B88: 265-270 (1992)

The Order Parameter Length Scale of a Vortex Line in a Type II Superconductor: Variation with Temperature
M. Nakahara, D. Waxman and G. Williams
Prog Theor Phys 88: 129-143 (1992)
Full Text


1991

Approximate Calculation of the Free Energy of Fermi Systems with Topological Solitons: Soliton Creation Energy of Polyacetylene
M. Nakahara, D. Waxman and G. Williams
J Phys C3: 6743-6756 (1991)
Full Text

Non-Analytic Behaviour of the Free Energy of Fermions Coupled to Small Solitons
D. Waxman and G. Williams
J Phys A24: 3611-3623 (1991)
Full Text

Quasiclassical Theory of the A-B Phase Boundary of Superfluid ³He; Invited talk at LT19
N. Schopohl and D. Waxman
Physica B169: 165-169 (1991)


1990

Quantum Dissipation of Arbitrary Strength from Coupling to Fermions
D. Waxman
J Phys A23: 1137-1145 (1990)
Full Text

Functional Treatment of Solitons in Polyacetylene
M. Nakahara, D. Waxman, and G. Williams
J Phys A23: 5017-5027 (1990)
Full Text


1989

Scattering and Bound States of Quasiparticles at the A-B Phase boundary of Superfluid ³He
N. Schopohl and D. Waxman
Phys Rev Lett 63: 1696-1699 (1989)
Full Text
Erratum

Scattering of Ballistic Quasiparticles at the A-B Phase Boundary of Superfluid ³He
N. Schopohl and D. Waxman
AIP conference Proceedings 194: 55 (1989) Editors G Ihas and Y Takano


1988

Instanton Corrections to the Maxwell Construction
D. Waxman
J Phys A21: 3677-3683 (1988)
Full Text


1986

The Normal Current in a Thin Film of Superfluid ³He-A
D. Pattarini and D. Waxman
J Phys C19: L649-L652 (1986)
Full Text

Anomalous Currents and Fractional Charge Associated with Domain Walls in Superfluid ³He-A Films
D. Pattarini and D. Waxman
J Phys C19: L547-L550 (1986)
Full Text

Non Relativistic Fermions and Effects Related to Fractional Fermionic Charge
D. Waxman
J Phys A19: 1621-1627 (1986)


1985

Dissipative Quantum Tunnelling at Finite Temperatures
D. Waxman and A. J. Leggett
Phys Rev B32: 4450-4468 (1985)
Full Text

Quantum Fokker-Planck Equation
L-D. Chang and D. Waxman
J Phys C18: 5873-5879 (1985)
Full Text

Macroscopic Quantum Coherence and Tunnelling in a Double-Well Potential
D. Waxman
J Phys C18: L421-L426 (1985)
Full Text


1984

DPhil Thesis Dissipative Quantum Tunnelling at Finite Temperatures
D. Waxman
University of Sussex: 1984


1981

Eikonal Correction for a Spin-Orbit Potential
J. F. Germond, R J Lombard, D. Waxman and C. Wilkin
Helvetica Physica Acta 54: 321-322 (1981)

Eikonal Corrections for Spin Orbit Potentials
D. Waxman, C. Wilkin, J. F. Germond and R. J. Lombard
Phys Rev C24: 578-587 (1981)


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