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Mathematics publications

Journals:

• SIAM J. on Mathematical Analysis
• Nonlinearity (or http://iopscience.iop.org/0951-7715/9/6/016)
  

PDF:

• Asymptotic and Numerical Approximations of the Zeros of Fourier Integrals, 1996
• Dynamics and Condensation of Complex Singularitites for Burgers’ Equation I, 1997
• Dynamics and Condensation of Complex Singularitites for Burgers’ Equation II, 1997
• Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit, 1996

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Current scientific endeavor

Advanced models of cosmology involve the tessellation (tiling) of 3-Spheres by Platonic Solids in a 4-dimensional algebraic setting, the Quaternion algebra or hypercomplex numbers. Of particular interest is the so called Poincaré Dodecahedral Space.  See for example “A cosmic hall of mirrors“.

Poincaré Dodecahedral Space, Jeffrey Weeks

For more information on the subject, please see “Cosmology and the Golden Ratio“.

________________________________________________________________________________________________________________________________________________________________________________

Mathematics publications

Journals:

• SIAM J. on Mathematical Analysis: http://bit.ly/uDa8g1
• Nonlinearity: http://iopscience.iop.org/0951-7715/9/6/016 or http://dx.doi.org/10.1088/0951-7715/9/6/016

PDF:

• Asymptotic and Numerical Approximations of the Zeros of Fourier Integrals, 1996
• Dynamics and Condensation of Complex Singularitites for Burgers’ Equation I, 1997
• Dynamics and Condensation of Complex Singularitites for Burgers’ Equation II, 1997
• Pole dynamics and oscillations for the complex Burgers equation in the small-dispersion limit, 1996

________________________________________________________________________________________

Current scientific endeavor

Advanced models of cosmology involve the tessellation (tiling) of 3-Spheres by Platonic Solids in a 4-dimensional algebraic setting, the Quaternion algebra or hypercomplex numbers. Of particular interest is the so called Poincaré Dodecahedral Space.  See for example “A cosmic hall of mirrors“.

Poincaré Dodecahedral Space, Jeffrey Weeks

For more information on the subject, please see “Cosmology and the Golden Ratio“.

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