Three classes of infinite-dimensional diffusions
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About: This article is published in Journal of Functional Analysis. The article was published on 01 Sep 1989. and is currently open access. The article focuses on the topics: Convection–diffusion equation & Partial differential equation.
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Citations
Construction and regularity of measure-valued markov branching processes
TL;DR: In this paper, a construction for a general class of measure-valued Markov branching processes is given, where the underlying spatial motion process is an arbitrary Borel right Markov process and state-dependent offspring laws are allowed.
163
Infinitely Divisible Random Measures and Superprocesses
Donald A. Dawson
- 01 Jan 1992
TL;DR: In this article, the authors introduce the concept of local spatial clumping with a set of informal calculations that lead to the prediction that the continuous limit of branching particle systems in dimensions d ≥ 3 will lead to infinitely divisible random measures which are almost surely singular.
57
Measure-valued branching diffusions: immigrations, excursions and limit theorems
Zenghu Li,Tokuzo Shiga +1 more
TL;DR: In this paper, the authors characterized the immigration structure associated with a given MBD process and established a one to one correspondence between immigration diffusion processes of MBD processes and entrance laws of its basic Markov process.
Invariant measures and maximal L2 regularity for nonautonomous Ornstein–Uhlenbeck equations
TL;DR: In this article, the authors characterize the domain of the realizations of a linear parabolic operator defined in L2 spaces with respect to a suitable measure that is invariant for the associated evolution semigroup.
46
Compactness and invariance properties of evolution operators associated with Kolmogorov operators with unbounded coefficients
Luciana Angiuli,Luca Lorenzi +1 more
TL;DR: In this paper, the authors consider non-autonomous elliptic operators with nontrivial potential term defined in I × R d, where I is a right-halfline (possibly I = R ).
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References
Sufficient Statistics and Extreme Points
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E. B. Dynkin
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TL;DR: A method of polymerization of butadiene to form polymers with a high (greater than 90 percent) content of cis-1,4 configuration wherein a mixed fluoride bearing catalyst system is utilized to control the polymerization rate and the molecular weight is described in this paper.
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Regularized Self-Intersection Local Times of Planar Brownian Motion
TL;DR: In this paper, a generalized random field with a proper choice of the coefficients was shown to converge to Dirac's delta function as the Dirac delta function for a given time-intersection local times of order.