Ian Davies : Full Publications
Ian Davies : Full Publications | |
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2010 - |  | |
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2005 - 2009 | | |
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MR2430708 I M Davies, Semiclassical analysis and a new result for Poisson-Lévy excursion measures, Electronic Journal of Probability 13, (2008), 1283 -- 1306 MR2402258 I M Davies, Y Feng, C F Li, D F Li, D R J Owen, A Fourier-Karhunen-Loève discretization scheme for stationary random material properties in SFEM, International Journal for Numerical Methods in Engineering 73, (2008), 1942 -- 1965 R P Wilson, N Liebsch, I M Davies, et al, 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, (2007), 193 -- 210 I M Davies, Y Feng, C F Li, D R J Owen, Fourier representation of random media fields in stochastic finite element modelling, Engineering Computations 23, (2006), 794 -- 817 MR2131267 I M Davies, A Truman, H Z Zhao, Stochastic heat and Burgers equations and their singularities II, Analytical Properties and Limiting Distributions, Journal of Mathematical Physics 46, (2005), no.4, 043515-1 -- 043515-31 MR2202034 I M Davies, A Truman and H Zhao, Stochastic heat and Burgers equations and their singularities, Probability and Partial Differential Equations in Modern Applied Mathematics, J Duan and E C Waymire (eds), The IMA Volumes in Mathematics and its Applications 140, (New York, Springer Verlag, 2005), 79 -- 96, ISBN: 0-387-25879-5 | |
2000 - 2004 | | |
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MR2096283 I M Davies, A Truman and H Zhao, Stochastic heat and Burgers equations and the intermittence of turbulence, in Seminar on Stochastic Analysis, Random Fields and Applications IV, R Dalang, M Dozzi and F Russo (eds), Progress in Probability Series 58, (Basel:Birkhäuser Verlag 2004), 95 -- 110, ISBN: 3-7643-7131-5 MR2083243 I M Davies et al, Probabilistic Methods in Fluids, (Singapore: World Scientific Press, 2003), 380 pp. ISBN: 981-238-226-7, 2003g:60106 I M Davies, A Truman, H Z Zhao, Stochastic heat and Burgers equations and their singularities I, Geometrical properties, Journal of Mathematical Physics 43 (2002), no. 6, 3293--3328. 2002k:58073 Dévis, Ya.; Smolyanov, O. G.; Trumen, A. Representation of solutions of stochastic Schrödinger equations on compact Riemannian manifolds by functional integrals. (Russian) Dokl. Akad. Nauk 373 (2000), no. 1, 10--14. (Representation of Solutions to Schrödinger Stochastic Equations by Functional Integrals on Compact Riemannian Manifolds, Doklady Mathematics, 62, (2000), 4--7) | |
1995 - 1999 | | |
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Davies, Ian M., Mathematical Modelling helps clinical diagnostics, Advances Wales, 24, 13, (1999). A Truman and I M Davies, Semiclassical analysis and a new result in in excursion theory, in B. Grigelionis et al. (Eds), { Probability Theory and Mathematical Statistics, Proceedings of the Seventh Vilnius Conference (1998)}, (Utrecht: VSP, Vilnius: TEV, 1999), 701--706, ISBN: 90-6764-313-0 99i:60109 I M Davies, Laplace asymptotic expansions for Gaussian functional integrals. Electron. J. Probab. 3 (1998), no. 13, 19 pp. (electronic EJP) 98f:60135 I M Davies, A Truman, Discrete random walks and excursions. Stochastic analysis and applications (Powys, 1995), 165--175, World Sci. Publishing, River Edge, NJ, 1996. 97m:00028 Stochastic analysis and applications. Proceedings of the 5th Gregynog Symposium held in Powys, July 9--14, 1995. Edited by I. M. Davies, A. Truman and K. D. Elworthy. World Scientific Publishing Co., Inc., River Edge, NJ, 1996. xvi+502 pp. ISBN: 981-02-2560-1 97i:35200 I M Davies, A Truman, H Z Zhao, Stochastic generalised KPP equations, Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), no. 5, 957--983. | |
1990 - 1994 | | |
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1 294 868 I M Davies, The density asymptotics associated with a stochastic differential equation. Lagrange geometry, Finsler spaces and noise applied in biology and physics. Math. Comput. Modelling 20 (1994), no. 4-5, 167--171. I M Davies and A Truman, On the first order stability of a three body problem, Bulletin IMA 28, 144--146, (1992). 1 182 589 I M Davies, On the stochastic Lagrangian in manifolds. Stochastics and quantum mechanics (Swansea, 1990), 69--75, World Sci. Publishing, River Edge, NJ, 1992. 93c:81005 Stochastics and quantum mechanics. Papers presented at a series of meetings held in Swansea, Summer 1990. Edited by A. Truman and I. M. Davies. World Scientific Publishing Co., Inc., River Edge, NJ, 1992. viii+316 pp. ISBN: 981-02-1015-9 81-06 (60-06) | |
1985-1989 | | |
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90m:81002 IXth International Congress on Mathematical Physics. Proceedings of the congress held at University College of Swansea, Swansea, July 17--27, 1988. Edited by B. Simon, A. Truman and I. M. Davies. Adam Hilger, Ltd., Bristol, 1989. xiv+534 pp. ISBN: 0-85274-250-9 81-06 90j:81044 I M Davies, On the stochastic Lagrangian and a new derivation of the Schrödinger equation. J. Phys. A 22 (1989), no. 16, 3199--3203. 90j:81043 I M Davies, On the drift in stochastic mechanics. J. Phys. A 22 (1989), no. 16, 3195--3198. 90e:81042 I M Davies, Observables in stochastic mechanics. Phys. Lett. A 136 (1989), no. 7-8, 340--342. 90c:81056 I M Davies, A Truman, Corrigendum: Laplace asymptotic expansions of conditional Wiener integrals and generalised Mehler kernel formulae for Hamiltonians on $L\sp 2({R}\sp n)$ [J. Phys. A {17} (1984), no. 14, 2773--2789; MR 86k:81058]. J. Phys. A 22 (1989), no. 9, 1467. 89c:60006 Stochastic mechanics and stochastic processes. Proceedings of the conference held in Swansea, August 4--8, 1986. Edited by A. Truman and I. M. Davies. Lecture Notes in Mathematics, 1325. Springer-Verlag, Berlin-New York, 1988. vi+220 pp. ISBN: 3-540-50015-4 89m:60191 I M Davies, A "Brownian motion" with constant speed. Stochastic processes---mathematics and physics, II (Bielefeld, 1985), 31--35, Lecture Notes in Math., 1250, Springer, Berlin-New York, 1987. 88g:82021 I M Davies, A Truman, The charged boson gas in a homogeneous magnetic field. Phys. A 141 (1987), no. 2-3, 613--624. | |
1980 - 1984 | | |
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86k:81058 I M Davies, A Truman, Laplace asymptotic expansions of conditional Wiener integrals and generalised Mehler kernel formulae for Hamiltonians on $L\sp 2({R}\sp n)$. J. Phys. A 17 (1984), no. 14, 2773--2789. 85d:81045b I M Davies, A Truman, On the Laplace asymptotic expansion of conditional Wiener integrals and the Bender-Wu formula for $x\sp{2N}$-anharmonic oscillators. J. Math. Phys. 24 (1983), no. 2, 255--266. 85a:70020 I M Davies, A Truman, D Williams, Classical periodic solution of the equal-mass $2n$-body problem, $2n$-ion problem and the $n$-electron atom problem. Phys. Lett. A 99 (1983), no. 1, 15--18. 85d:81045a I M Davies, A Truman, Laplace asymptotic expansions of conditional Wiener integrals and generalized Mehler kernel formulas. J. Math. Phys. 23 (1982), no. 11, 2059--2070. 85j:60119 I M Davies, A Truman, Laplace expansions of conditional Wiener integrals and applications to quantum physics. Stochastic processes in quantum theory and statistical physics (Marseille, 1981), 40--55, Lecture Notes in Phys., 173, Springer, Berlin-New York, 1982. | |