Principle of superposition and interference of diffusion processes
Masao Nagasawa (1993)
Séminaire de probabilités de Strasbourg
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Masao Nagasawa (1993)
Séminaire de probabilités de Strasbourg
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M. E. Vares (1991)
Annales de l'I.H.P. Physique théorique
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Ismaël Bailleul (2010)
Annales de l'I.H.P. Probabilités et statistiques
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A new class of relativistic diffusions encompassing all the previously studied examples has recently been introduced in the article of C. Chevalier and F. Debbasch (J. Math. Phys. (2008) 043303), both in a heuristic and analytic way. A stochastic approach of these processes is proposed here, in the general framework of lorentzian geometry. In considering the dynamics of the random motion in strongly causal spacetimes, we are able to give a simple definition of the one-particle distribution...
Pantić, Dražen (1995)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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S. R. de Groot (1979)
Annales de l'I.H.P. Physique théorique
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J. F. Burrow, P. D. Baxter, J. W. Pitchford (2008)
Mathematical Modelling of Natural Phenomena
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It is well established that resource variability generated by spatial patchiness and turbulence is an important influence on the growth and recruitment of planktonic fish larvae. Empirical data show fractal-like prey distributions, and simulations indicate that scale-invariant foraging strategies may be optimal. Here we show how larval growth and recruitment in a turbulent environment can be formulated as a hitting time problem for a jump-diffusion process. We present two theoretical...