Publications

Journal Articles

  1. & A new perspective on how humans assess their surroundings; derivation of head orientation and its role in ‘framing’ the environment. PeerJ 3(e908)
  2. Semiclassical analysis and a new result for Poisson-Lévy excursion measures. Electronic Journal of Probability 13(45), 1283-1306.
  3. & A Fourier–Karhunen–Loève discretization scheme for stationary random material properties in SFEM. International Journal for Numerical Methods in Engineering 73(13), 1942-1965.
  4. & All at sea with animal tracks; methodological and analytical solutions for the resolution of movement. Deep Sea Research Part II: Topical Studies in Oceanography 54(3-4), 193-210.
  5. & Fourier representation of random media fields in stochastic finite element modelling. Engineering Computations 23(7), 794-817.
  6. & Stochastic heat and Burgers equations and their singularities. II. Analytical properties and limiting distributions. Journal of Mathematical Physics 46(4), 043515
  7. & Stochastic heat and Burgers equations and their singularities. I. Geometrical properties. Journal of Mathematical Physics 43(6), 3293-3328.
  8. & Representation of Solutions to Schrödinger Stochastic Equations by Functional Integrals on Compact Riemannian Manifolds. Doklady Mathematics 62, 4-7.
  9. Mathematical Modelling helps clinical diagnostics. Advances Wales 24, 13-13.
  10. Laplace Asymptotic Expansions for Gaussian Functional Integrals. Electronic Journal of Probability 3(13), 1-19.
  11. & Stochastic generalised KPP equations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 126(05), 957-983.
  12. The density asymptotics associated with a stochastic differential equation. Mathematical and Computer Modelling 20(4-5), 167-171.
  13. & On the first order stability of a three body problem. Bulletin of the Institute of Mathematics and its Applications 28, 144-146.
  14. Observables in stochastic mechanics. Physics Letters A 136(7-8), 340-342.
  15. On the drift in stochastic mechanics. Journal of Physics A: Mathematical and General 22(16), 3195-3198.
  16. On the stochastic Lagrangian and a new derivation of the Schrodinger equation. Journal of Physics A: Mathematical and General 22(16), 3199-3203.
  17. Space filling curves and fractals on micros. Bulletin of the Institute of Mathematics and its Applications 23, 94-99.
  18. & The charged Boson gas in an homogeneous magnetic field. Physica A: Statistical Mechanics and its Applications 141(2-3), 613-624.
  19. The propagator for a charged particle in a constant magnetic field and with a quadratic potential. Journal of Physics A: Mathematical and General 18(14), 2737-2741.
  20. & Laplace asymptotic expansions of conditional Wiener integrals and generalised Mehler kernel formulae for Hamiltonians on L2(Rn). Journal of Physics A: Mathematical and General 17(14), 2773-2789.
  21. & On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender–Wu formula for x2N-anharmonic oscillators. Journal of Mathematical Physics 24(2), 255-266.
  22. & Classical periodic solutions of the equal-mass 2n-body problem, 2n-ion problem and the n-electron atom problem. Physics Letters A 99(1), 15-18.
  23. & Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas. Journal of Mathematical Physics 23(11), 2059-2070.

Books

  1. & (Eds.). Probabilistic Methods in Fluids. I M Davies et al (Ed.), Singapore: World Scientific Press.
  2. & (Eds.). Stochastic Analysis and Applications. SIngapore: World Scientific Press.
  3. & (Eds.). Stochastics and Quantum Mechanics. Singapore: World Scientific Press.
  4. & (Eds.). IXth International Congress on Mathematical Physics. Bristol: Adam Hilger.
  5. & (Eds.). Stochastic Mechanics and Stochastic Processes. Berlin: Springer-Verlag.

Book Chapters

  1. & Laplace expansions of conditional wiener integrals and applications to quantum physics. In S Albeverio, P Combe and M Sirugue-Collin (Ed.), Stochastic Processes in Quantum Theory and Statistical Physics : Lecture Notes in Physics. (pp. 40-55). Berlin: Springer-Verlag.
  2. A "Brownian motion" with constant speed. In S Albeverio, Ph Blanchard and L Streit (Ed.), Stochastic Processes — Mathematics and Physics II : Lecture Notes in Mathematics. (pp. 31-35). Berlin: Springer-Verlag.
  3. On the Stochastic Lagrangian in Manifolds. In A Truman and I M Davies (Ed.), Stochastics and Quantum Mechanics. (pp. 69-75). Singapore: World Scientific Press.
  4. & Discrete random walks and excursions. In A Truman, I M Davies and K D Elworthy (Ed.), Stochastic Analysis and Applications. (pp. 165-175). Singapore: World Scientific Press.
  5. & Semiclassical analysis and a new result in excursion theory. In B Grigelionis et al (Ed.), Probability Theory and Mathematical Statistics. (pp. 701-706). Vilnius: TEV.
  6. & Stochastic heat and Burgers equations and the intermittence of turbulence. In R Dalang, M Dozzi and F Russo (Ed.), Seminar on Stochastic Analysis, Random Fields and Applications IV : Progress in Probability. (pp. 95-110). Basel: Birkhäuser Verlag.
  7. & Stochastic Heat and Burgers Equations and Their Singularities. In Edward C. Waymire and Jinqiao Duan (Ed.), Probability and partial differential equations in modern applied mathematics : IMA series. (pp. 79-95). New York: Springer.