Wiener Processes (WP)

Author(s):  
Uwe Hassler
Keyword(s):  
Author(s):  
Kenta Hoshino ◽  
Yuh Yamashita ◽  
Yuki Nishimura ◽  
Daisuke Tsubakino

2016 ◽  
Vol 61 (8) ◽  
pp. 2318-2323 ◽  
Author(s):  
Kenta Hoshino ◽  
Yuki Nishimura ◽  
Yuh Yamashita ◽  
Daisuke Tsubakino

1973 ◽  
Vol 12 (3) ◽  
pp. 321-334 ◽  
Author(s):  
David Shale

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Gregorio Díaz ◽  
Jesús Ildefonso Díaz

<p style='text-indent:20px;'>We consider a class of one-dimensional nonlinear stochastic parabolic problems associated to Sellers and Budyko diffusive energy balance climate models with a Legendre weighted diffusion and an additive cylindrical Wiener processes forcing. Our results use in an important way that, under suitable assumptions on the Wiener processes, a suitable change of variables leads the problem to a pathwise random PDE, hence an essentially "deterministic" formulation depending on a random parameter. Two applications are also given: the stability of solutions when the Wiener process converges to zero and the asymptotic behaviour of solutions for large time.</p>


2003 ◽  
Vol 2003 (41) ◽  
pp. 2587-2602 ◽  
Author(s):  
S. V. Ludkovsky

Stochastic antiderivational equations on Banach spaces over local non-Archimedean fields are investigated. Theorems about existence and uniqueness of the solutions are proved under definite conditions. In particular, Wiener processes are considered in relation to the non-Archimedean analog of the Gaussian measure.


2013 ◽  
Vol 83 (9) ◽  
pp. 2027-2033 ◽  
Author(s):  
Piotr Jaworski ◽  
Marcin Krzywda
Keyword(s):  

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