Weak convergence of diffusion processes on Wiener space

2007 ◽  
Vol 140 (1-2) ◽  
pp. 1-17 ◽  
Author(s):  
Alexander V. Kolesnikov
1997 ◽  
Vol 109 (2) ◽  
pp. 159-182 ◽  
Author(s):  
Kazuhiro Kuwae ◽  
Toshihiro Uemura

2011 ◽  
Vol 11 (02n03) ◽  
pp. 475-493 ◽  
Author(s):  
ÉTIENNE PARDOUX ◽  
AHMADOU BAMBA SOW

In this paper, a semilinear elliptic PDE with rapidly oscillating coefficients is homogenized. The novelty of our result lies in the fact that we allow the second order part of the differential operator to be degenerate in some portion of ℝd. Our fully probabilistic method is based on the connection between PDEs and BSDEs with random terminal time and the weak convergence of a class of diffusion processes.


2014 ◽  
Vol 86 ◽  
pp. 74-79 ◽  
Author(s):  
Gang Huang ◽  
Michel Mandjes ◽  
Peter Spreij

1976 ◽  
Vol 32 ◽  
pp. 109-116 ◽  
Author(s):  
S. Vauclair

This paper gives the first results of a work in progress, in collaboration with G. Michaud and G. Vauclair. It is a first attempt to compute the effects of meridional circulation and turbulence on diffusion processes in stellar envelopes. Computations have been made for a 2 Mʘstar, which lies in the Am - δ Scuti region of the HR diagram.Let us recall that in Am stars diffusion cannot occur between the two outer convection zones, contrary to what was assumed by Watson (1970, 1971) and Smith (1971), since they are linked by overshooting (Latour, 1972; Toomre et al., 1975). But diffusion may occur at the bottom of the second convection zone. According to Vauclair et al. (1974), the second convection zone, due to He II ionization, disappears after a time equal to the helium diffusion time, and then diffusion may happen at the bottom of the first convection zone, so that the arguments by Watson and Smith are preserved.


Author(s):  
Ari Arapostathis ◽  
Vivek S. Borkar ◽  
Mrinal K. Ghosh

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