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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Boltzmann-Gibbs principle in L^p sense via Littlewood-Paley-Stein inequality
L^p意义 玻尔兹曼-吉布斯原理 利特尔伍德-佩利-斯坦不等式
2023/5/15
KPZ limit for one-dimensional weakly asymmetric Ginzburg-Landau model was studied by Diehl-Gubinelli-Perkowski in a setting of martingale (energy) solution. Our goal is to apply a path-wise approach b...
New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals
Ostrowski type inequality convex function Riemann-Liouville fractional integral
2011/9/22
Abstract: New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractiona...
Dual Quaternions in Spatial Kinematics in an Algebraic Sense
Dual quaternions Hamilton operators Lie algebras
2010/2/25
This paper presents the finite spatial displacements and spatial screw motions by using dual quaternions and Hamilton operators. The representations are considered as 4 \times 4 matrices and the relat...
We consider a lognormal diffusion market and prove that the average portfolio does not provide accurate dynamics of the real portfolio, and the expected functionals of the average portfolio do not app...
On Stability and Trajectory Boundedness in Mean-square Sense for ARMA Processes
ARMA stability boundedness in MSS equivalence
2007/12/10
For the multidimensional ARMA system A(z)y k = C(z)w k it is shown that stability (det A(z) ≠ 0, ?z : |z| ≤ 1) of A(z) is equivalent to the trajectory boundedness in the mean square sense (MSS) lim su...
Absolutely Representing Systems of Exponentials in the Spaces of Infinitely-Differentiable Functions and Extendability in the Sense of Whitney
Exponentials Infinitely-Differentiable Functions Extendability
2010/3/1
Let Q be a compactum in~\mathbb{R}p, p\geqslant1, such that int Q\neq\varnothing and Q=\overline{ int Q}. Denote by C\infty[Q] the space of functions from C\infty( int Q) uniformly continuous in int Q...