We study skew-amenable topological groups, i.e., those admitting a left-invariant mean on the space of bounded real-valued functions left-uniformly continuous in sense Bourbaki. prove characterizations skew-amenability for groups isometries and automorphisms, clarify connection with extensive amenability group actions, establish Følner-type characterization, discuss closure properties class gro...

A n-dimensional Lie group G equipped with a left invariant symplectic form ω+ is called a symplectic Lie group. It is well-known that ω+ induces a left invariant affine structure on G. Relatively to this affine structure we show that the left invariant Poisson tensor π+ corresponding to ω+ is polynomial of degree 1 and any right invariant k-multivector field on G is polynomial of degree at most...

convolution each of the BOLD responses with a single universal transfer function, modeled BOLD signals were generated which when differenced with the measured BOLD signals showed residual signals which were smaller than the measurement uncertainty. The root mean square (RMS) of the residual signal (left number) was compared with the averaged standard deviation (SD) of the measured data (right n...

The paper investigates quadratic hedging in a general semimartingale market that does not necessarily contain risk-free asset. An equivalence result for with and without numeraire change is established. This permits direct computation of the optimal strategy choosing reference asset and/or performing change. New explicit expressions strategies are obtained, featuring use oblique projections pro...

In this paper, we consider a closed Riemannian manifold $$M^{n+1}$$ with dimension $$3\le n+1\le 7$$ , and compact Lie group G acting as isometries on M cohomogeneity at least 3. Suppose the union of non-principal orbits $$M{\setminus } M^{reg}$$ is smooth embedded submanifold most $$n-2$$ . Then for any $$c\in \mathbb {R}$$ show existence nontrivial, smooth, closed, almost embedded, G-invarian...