We study transverse conformal Killing forms on foliations and prove a Gallot-Meyer theorem for foliations. Moreover, we show that on a foliation with C-positive normal curvature, if there is a closed basic 1-form φ such that ∆Bφ = qCφ, then the foliation is transversally isometric to the quotient of a q-sphere.

We introduce two new characterizations of Meyer sets. A repetitive Delone set in R with finite local complexity is topologically conjugate to a Meyer set if and only if it has d linearly independent topological eigenvalues, which is if and only if it is topologically conjugate to a bundle over a d-torus with totally disconnected compact fiber and expansive canonical action. “Conjugate to” is a ...

in this paper, behavior of teleoperation systems with modeling error and delay time error in smith predictor is discussed. in teleoperation systems, modeling error is inevitable. this paper discusses stability of teleoperation systems with modeling error. first, error of delay time in teleoperation systems by using of internet as communication channel is considered and the performance of smith ...

Non-standard number representation has proved to be useful in the speed-up of some algorithms, and in the modelization of solids called quasicrystals. Using tools from automata theory we study the set Zβ of β-integers, that is, the set of real numbers which have a zero fractional part when expanded in a real base β, for a given β > 1. In particular, when β is a Pisot number — like the golden me...

We provide a formal study of belief retraction operators that do not necessarily satisfy the (Inclusion) postulate. Our intuition is that a rational description of belief change must do justice to cases in which dropping a belief can lead to the inclusion, or ‘liberation’, of others in an agent’s corpus. We provide two models of liberation via retraction operators: σ-liberation and linear liber...

An increasing number of connectionist models have been proposed to explain behavioral deficits in developmental disorders. These simulations motivate serious consideration of the theoretical implications of the claim that a developmental disorder fits within the parameter space of a particular computational model of normal development. The authors examine these issues in depth with respect to a...