Keywords
- Wiener Process
- Langevin Equation
- Continuous Linear Mapping
- Uhlenbeck Process
- Regularization Theorem
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References
Bojdecki, T. and Gorostiza, L.G. (1986). Langevin equations for S′-valued Gaussian processes and fluctuation limits of infinite particle systems. Probab. Th. Rel. Fields 73, 227–244.
Bojdecki, T. and Gorostiza, L.G. (1988). Inhomogeneous infinite dimensional Langevin equations. Stoch. Analysis Appl. (to appear).
Bojdecki, T., Gorostiza, L.G. and Ramaswamy, S. (1986). Convergence of S′-valued processes and space-time random fields. J. Functional Analysis 66, 21–41.
Dawson, D.A. and Gorostiza, L.G. (1988). Generalized solutions of a class of nuclear space valued stochastic evolution equations. Tech. Rep. 225, Center for Stochastic Processes, University of North Carolina at Chapel Hill.
Dawson, D.A., Fleischmann, K. and Gorostiza, L.G. (1987). Stable hydrodynamic limit fluctuations of a critical branching particle system in a random medium. Tech. Rep. 105, Lab. Res. Stat. Prob., Carleton University, Ottawa.
Gorostiza, L.G. (1983). High density limit theorems for infinite systems of unscaled branching Brownian motions. Ann. Probab. 11, 374–392.
Itô, K. (1983). Distribution valued processes arising from independent Brownian motions. Math. Z. 182, 17–33.
Itô, K. (1984). Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces. S.I.A.M. Philadelphia.
Itô, K. and McKean, H.P. (1965). Diffusion Processes and their Sample Paths. Springer-Verlag. Berlin.
Martin-Löf, A. (1976). Limit theorems for the motion of a Poisson system of independent Markovian particles with high density. Z. Wahrsch. Verw. Gebiete 34, 205–223.
Mitoma, I. (1983). Tightness of probabilities on C([0, 1], S′) and D([0, 1], S′). Ann. Probab. 11, 989–999.
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© 1989 Springer-Verlag
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Dawson, D.A., Gorostiza, L.G. (1989). Generalized solutions of stochastic evolution equations. In: Da Prato, G., Tubaro, L. (eds) Stochastic Partial Differential Equations and Applications II. Lecture Notes in Mathematics, vol 1390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083936
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DOI: https://doi.org/10.1007/BFb0083936
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