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...

Normal superconductors with Rashba spin-orbit coupling have been explored as candidate systems of topological superconductors. Here we present a comparative theoretical study of the effects of different types of disorder on the topological phases of two-dimensional Rashba spin-orbit coupled superconductors. First, we show that a topologically trivial superconductor can be driven into a chiral t...

The algebraic genus of a knot is an invariant that arises when one considers upper bounds for the topological slice coming from Freedman’s theorem Alexander polynomial knots are topologically slice. This paper develops null-homologous twisting operations as tool studying and, consequently, bounding above. As applications we give new on genera torus and satellite knots.

We consider random perturbations of a topologically transitive local diffeomorphism Riemannian manifold. show that if an absolutely continuous ergodic stationary measures is expanding (all Lyapunov exponents positive), then there Gibbs–Markov–Young structure which can be used to lift measure. also prove the original map admits finite number invariant sufficiently small stochastic perturbation a...

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...