M. J. Oliveira

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Articles: 2

Kawasaki dynamics in the continuum via generating functionals evolution

D. L. Finkelshtein, Yu. G. Kondratiev, M. J. Oliveira

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 18 (2012), no. 1, 55-67

We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale of Banach spaces, which leads to a local (in time) solution. An application of this approach to Vlasov-type scaling in terms of generating functionals is considered as well.

Analytic aspects of Poissonian white noise analysis

Yuri G. Kondratiev, Tobias Kuna, Maria João Oliveira

Methods Funct. Anal. Topology 8 (2002), no. 4, 15-48

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