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Some aspects of the $m$-adic analysis and its applications to $m$-adic stochastic processes
$m$-adic analysis applications to $m$-adic stochastic processes
2011/1/18
In this paper we consider a generalization of analysis on p-adic numbers field to the m case of m-adic numbers ring. The basic statements, theorems and formulas of p-adic analysis can be used for the ...
A maximum principle for forward-backward stochastic Volterra integral equations and applications in finance
linear quadratic forward-backward stochastic Volterra integral equations stochastic maximum principle
2010/4/28
This paper formulates and studies a stochastic maximum principle for forward-backward stochastic Volterra integral equations (FBSVIEs in short), while the control area is assumed to be convex. Then a ...
Trace Inequalities with Applications to Orthogonal Regression and Matrix Nearness Problems
Trace inequalities stochastic matrices orthogonal regression matrix nearness problems
2010/4/16
Matrix trace inequalities are finding increased use in many areas such as analysis, where they can be used to generalise several well known classical inequalities, and computational statistics, where ...