In submission or revision

2016 Preprints

• Natural continued logarithms (June 2016)
• Weak ergodicity of a Douglas-Rachford mapping (May 2016)
• Derivatives and fast evaluation of Witten zeta (April 2016)
• Stock portfolio design and backtest overfitting (February 2016)

2015 Preprints

• Expectations of iterated function systems (Sept 2015)
• Monotonicity of Symmetric Riemann Sums (Jan 2015 - Jan 2016)

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• Backtest Overfitting Tools (April - Oct 2015)
• Convergence rate analysis and Holder regularity (Oct 2015 - April 2016)
• Modelling of seasonal rainfall with copulas (May 2014)

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Papers below red line are published, in press, or reports (see CV) while papers immediately above are in revision.

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Published, in press, or reports

2016 Preprints

Generalisations and Examples in Analysis and Optimisation (Nov 2015--July 2016)

Adventures with Sloane's OEIS (January--June 2016)

The Lambert W function in optimisation (February -- June 2016)

Continued logarithms (December 2015)

Discovery of large minimal polynomials (Oct 2015 - April 2016)

Convexity in groups and semigroups (July 2015 - Jan 2016)

Reproducibility of randomness of the digits of Pi (January 2016) (Zipped code and data)

A computational mathematics view of space, time and complexity (January 2016)

2015 Preprints

On short walks in higher dimensions (Feb-Dec 2015)

Locally convex topological groups (Aug-Nov 2015)

Nonconvex Douglas-Rachford methods (June 2015)

Density of uniform random walks in odd dimensions (May 2015)

Nearest points and DC functions (May 2015)

A variational approach to Lagrange multipliers (May 2015)

Monotone inclusions and Fitzpatrick functions (April 2015)

On High Precision Arithmetic and Math Physics (April 2015)

A short walk can be beautiful (March 2015)

The probability of backtest overfitting (March 2015)

I prefer Pi an anthology (February 2015)

Crandall's Lerch computation and applications (Jan 2015)

Experimental Maths in Society of the Future (Jan 2015)

2014 Preprints

Reflection methods for Protein conformation (August 2014)

Facilitating Reproducibility in Scientific Computing (July 2014)

Report on Challenges for Experimental Maths (Report, Aug 2014)

The Trademarking of Pi (June 2014)

Homo Habilis Mathematicus (Book Chapter, May 2014)

Experimental Computation and Visual Theorems (May 2014)

A very complicated proof of the Minimax Theorem (April 2014)

Computation as Ontological Game Changer (April 2014)

Origins of Mathematical Words Book Review (April 2014)

On High Precision Arithmetic (Report, February 2014)

Character polylogarithms and applications (February 2014)

Mordell-Tornheim-Witten sums II (Jan-July 2014)

Norm convergence of Realistic Feasibility Probs (Dec 13 - May 14)

2013 Preprints

Reflection methods for Infeasible Feasibility Problems (Oct 2013)

Alternating projections on semialgebraic convex sets (April 2013)

Copulas for modelling seasonal rainfall (Aug 12 - Dec 13)

The Legacy of Kurt Mahler (November 2013)

Financial Charlatanism (Sept 2013 -- Feb 2014)

Lattice sums and Wigner limits (July 2013)

Douglas-Rachford Methods for Comb Probs (May -- Sept 2013)

Reflection Methods for Matrix Completion (August 2013)

Auto-simplifying symbolic expressions (Code) (Sep 12-Jul 13)

Interview with Cris Calude (July 2013)

Modelling and simulation of seasonal rainfall (June 2013)

Sum theorems for (FPV) monotone operators (May 2013)

Pi Day and the Normality of Pi (May 2013)

Publishing Standards for Computational Science (May 2013)

Legendre and convex integral functions (April 2013)

New Sinc Results Derived From Old (March 2013)

Set the default to 'open' (March 2013)

The Future of Mathematics (April 2013)

A cyclic Douglas-Rachford method (March 2013)

Giuga's conjecture on primality (Feb 2013)

Report on Reliability and Reproducibility (Feb 2013)

Applications of Convex Analysis within Maths (Feb 2013)

Relations for Nielsen polylogarithms (Jan 2013)

2012 Preprints

Variational methods in the presence of symmetry (Dec 2012)

Compressed Lattice Sums originating with Poisson (Dec 2012)

Maximality of the sum when one operator is linear (Dec 2012)

Conditions for zero duality gap (Dec 2012)

Lattice Sums originating with Poisson equation (Nov 2012)

Recent progress on monotone operator theory (Oct 2012)

Mordell-Tornheim-Witten sums (April-July 2012)

Expectations on fractal sets (Aug 2012)

Experimental applied mathematics (July 2012)

Walking on real numbers (July 2012)

Three approaches to Linear mean iterations (May 2012)

Near convexity of monotone operator domains(May 2012)

Ramanujan and Pi (for his 125th birthday) (April 2012)

Structure of max monotone operators (March 2012)

Convergence of a nonconvex Douglas-Rachford alg. (Mar 2012)

On the Eulerian log gamma integrals (February 2012)

On the Normality of Pi and Extended version (February 2012)

Abnormality of Stoneham Numbers (January 2012)

Proof of some Conjectured formulas for Pi (January 2012)

2011 Preprints

• : Brezis-Browder in general Banach space (Oct-Dec 2011)
• : Nonenlargeable monotone operators (October 2011)
• : Loving and Hating Math: Extended Review (Sept 2011)
• : Walks, Mahler Measures and Logsin Integrals (Sept 2011)
• : Normal numbers and number generators (Sept 2011)
• : Copulas and Rain, Rain, Rain (Sept 2011)
• : Remote Collaboration: 6 Years of the C2C Series (Aug 2011)
• : Max monotones & bigger conjugate functions (Aug 2011)
• :Entropy & Feasibility Methods for Inverse Probs (Aug 2011)
• : A sinc that sank (July-Sept 2011)
• : Monotone Operators of Type D (July 2011)
• : Organic Mathematics: then and now (July 2011)
• : Ancient Indian Square Roots (May-Sept 2011)
• : FP implies D for maximal monotones (April 2011)
• : Monotone Adjoint Relations (April 2011)
• : Log-sine evaluations of Mahler measures: II (March 2011)
• : Computing inaccessible digits of Pi² and G (March 2011)
• : Special values of log-sine integrals (Jan 2011)

2010 Preprints

• : Bregman firmly nonexpansive mappings (Dec 2010)
• : Log-sine evaluations of Mahler measures: I (Nov 2010)
• : Densities of short random walks (Oct 2010 - July 2011)
• : Combat with 1000 digit integrals (Oct 2010)
• : Implicit Functions and Solution Mappings: A Review (Oct 2010)
• : Moments of generalized elliptic integrals (Aug 2010)
• : Maximum entropy copulas (July 2010)
• : Three and Fourstep Random Walks (May-Oct 2010)
• : Closed Forms: What They Are (April-Aug 2010)
• : Entropic Regularization of the 0-norm (April 2010)
• : Exploratory Experimentation and Computation (Feb-Aug 2010)
• : Stability of linear images of cones (II) (Feb 2010)
• : Positional notation(Feb-April 2010)
• : The Life of Pi (Feb 10 - Oct 11)
• : Higher-dimensional box integrals (Jan 2010)

2009 Preprints

• : Nonconvex Douglas-Rachford algorithms (Nov 2009)
• : 50 years of maximal monotonicity (Nov 09-Jan 10)
• : Who we are? (November 2009)
• : Difference convex functions (Oct 09-Jan 10)
• : Uniformly convex functions (October 2009)
• : Random walk integrals (Oct 2009-May 2011)
• : Duality and convex programming (Oct 2009 - April 10)
• : Exp Math, Dynamics & Math Phys (Sept 09 - Dec 2010)
• : Exp Math and Math Physics (Sept 2009)
• #399: Prox-regular Functions in Hilbert space (July 2009)
• #398: Fréchet-Legendre Functions (July 2009)
• #396: Challenges for Variational Analysis (May 2009)
• #395: Exploratory Experimentation and Computation (Sept 2009)
• #394. Digitally Assisted Mathematics (May 2009)
• #393: Exploratory Experimentation (ICMI19) (May09-Sept10)
• #392: Princeton Comp. to Math (SIAM Feature Rev (May 2009)
• #391: Computation with Oscillatory Integrals (May 2009)
• #389: More Box Integrals (March-Dec 2009)
• #388: p-norms and the sinc function (March 2009)
• #387: Digitally-assisted discovery (ICMI 19) (February 2009)

2008 Preprints

• #386: High precision computation in physics (Nov 2008)
• #385: A function with subdifferential the ball (July-Oct 2008)
• #38x: Banach spaces of type (NI) (June 2008) (Withdrawn)
• #384: Stability of linear images of cones (April-Sept 2008)
• #383: Differentiability of conjugate functions April 2008)
• #382: High precision numerical integration (Feb 08- July 09)
• #381: Duality in tails of multiple zeta values (Jan 2008)
• #380: Elliptic forms for Bessel moments (Jan 2008)

2007 Preprints

• #348: 2nd order cones via representative functions. (Nov 2007)
• #372: Euler and Boole Summation Revisited (July-Dec 2007)
• #371: Exp-arc Evals of Bessel Functions (July-Sept 2007)
• #346: A Recursion for Bessel Moments (June-August 2007)
• #345: Resolving a Nonlinear Physics Constant (June 2007)
• #340: Uniformly Convex Functions (March 2007)
• #339: Retro-enhancement of Recent Math (March 2007)
• #338: Computer Assisted Discovery and Proof (Feb-Nov 2007)
• #335: Uniform Bounds for Incomplete Gamma (Feb 2007)
• #334: Effective Laguerre Asymptotics (Jan 07--May 2008)
• #332: Some Sinc Sums (Jan-July 2007)

2006 Preprints

• #331: The C2C Seminar Galleys (Dec 06-July 08)
• #326: Hypergeometric forms for Ising-class integrals (July 2006)
• #324: Integrals of the Ising class (June 2006)
• #323: Proximality and Chebyshev sets (May 2006)
• #322: A sum rule in Banach space (May 2006)
• #321: Decompositions of monotone operators (April-July 2006)
• #320: Box Integrals (April-June 2006)
• #319: Fitzpatrick Functions of Linear Operators (March 2006)
• #317: Some Open Problems in Topology (January 2006)
• #315: Quad Convergence of 'Tanh-sinh' Quadrature (Jan 2006)

2005 Preprints

• #309: Hilbert's inequality and Witten's zeta function (Dec 2005-June 2007)
• #308: Fitzpatrick functions, cyclic monotonicity ... (Dec 2005)
• #307: Symbolic Convex Analysis (Nov 2005)
• #305: Prospects for Computationally-assisted Math (Oct 2005)
• #301: 32 Goldbach Variations on Zeta(2,1) (Aug 2005)
• #300: Oxford Users' Guide to Math: SIAM Feature Rev (Aug 05)
• #302: Maximal Subgradients are Staunch (August 2005)
• #281: Maximal Monotonicity via Convex Analysis (August 2005)
• #280: Implications of Experimental Math for Math Phil. (June 05)
• #297: Effective bounds for Euler-Maclaurin Quadrature (June 05)
• #295: Experimentally found Identities for Zeta(2n+2) (May 2005)
• #294: Parallel Numerical Quadrature (April 2005)
• #287: Integer Powers of Arcsin (April 2005 - Feb 2007)
• #288: Boundedness, Differentiability & Extensions (March 2005)
• #285: 100 Digits Challenge: an Extended Review (March 2005)
• #284: Federated World Directory of Mathematicians (Feb 2005)
• #275: Van der Pol Expansions of L-Series (Jan 2005)
• #282: Maximality of Sums of Monotone Operators (April 2005)
• #279: Two Fundamental Identities for Euler Sums (Jan 05)
• #269: Experimental Math: Examples, Methods & Directions (Oct 04-Jan 05)

2004 Preprints

• Click here

Earlier Preprints

• Click here

Really old:

• Boole Summation (1991)
• Convex Relations (1981)
• Optimization with respect to partial orderings (DPhil, Oxon, 1974)
• Monotone operators and nonlinear functional analysis (MSc, Oxon, 1972)
• That's Math (song and text)

Last revised: Friday, 16-Oct-2015 11:30:49 AEDT