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In this paper, we study VC-minimal theories and explore related concepts. We
first define the notion of convex orderablity and show that this lies strictly between VCminimality
and dp-minimality. To...
A star forest is a collection of vertex-disjoint trees of depth at most 1, and its size is the number of leaves in all its components. A spanning star forest of a given graph G is a spanning subgraph ...
Applications of the quadratic covariation differentiation theory: variants of the Clark-Ocone and Stroock's formulas
the quadratic covariation differentiation theory the Clark-Ocone and Stroock's formulas
2010/11/11
In a 2006 article (\cite{A1}), Allouba gave his quadratic covariation differentiation theory for It\^o's integral calculus. He defined the derivative of a semimartingale with respect to a Brownian mo...
Stability of stochastic differential equations driven by variants of stable processes
Stability of stochastic differential equations variants of stable processes
2010/12/14
In this paper we investigate two variants of stable processes, namely tempered stable sub-
ordinators and modified tempered stable process as well as their renormalization. We study
the weak converg...
The jeep problem was first solved by O. Helmer and N.J. Fine. But not much later, C.G. Phipps formulated a more general solution. He formulated a so-called convoy or caravan variant of the jeep proble...
Some Variants of Anderson's Inequality in $C_1$-Classes
Elementary operators Schatten $p$-classes Orthogonality
2008/6/26
Some Variants of Anderson's Inequality in $C_1$-Classes.