global representation is able to incorporate all the relevant information for monitoring and supervising the manufacturing. In addition it should provide the operator interface with all the information required by the operator. Finally, such an object-based architecture will constitute an open representational system, which is able to represent additional information and knowledge when found us...

It is well-known that exponential stabilization of a neutral system with unstable diierence operator is only possible by allowing for control laws containing derivative feedback. We show that closed-loop stability of a neutral system with unstable open-loop diierence operator obtained by applying a derivative feedback scheme is extremely sensitive to arbitrarily small time-delays in the feedbac...

Using the pure spinor formalism for the superstring, the vertex operator for the first massive states of the open superstring is constructed in a manifestly super-Poincaré co-variant manner. This vertex operator describes a massive spin-two multiplet in terms of ten-dimensional superfields.

We study the Ornstein-Uhlenbeck operator and the Ornstein-Uhlenbeck semigroup in an open convex subset of an infinite dimensional separable Banach space X. This is done by finite dimensional approximation. In particular we prove Logarithmic-Sobolev and Poincaré inequalities, and thanks to these inequalities we deduce spectral properties of the OrnsteinUhlenbeck operator. 2010 Mathematics Subjec...

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.

Using the pure spinor formalism for the superstring, the vertex operator for the first massive states of the open superstring is constructed in a manifestly super-Poincaré co-variant manner. This vertex operator describes a massive spin-two multiplet in terms of ten-dimensional superfields.

Consider the Schrödinger operator A = −∆2 + V acting on space C ∞ 0 (D), where D is an open domain in R. The main purpose of this paper is to present the L∞(D, dx)-uniqueness for Schrödinger operators which is equivalent to the L1(D, dx)-uniqueness of weak solutions of the heat diffusion equation associated to the operator A.

We consider an operator P which is a sum of squares of vector fields with analytic coefficients. The operator has a nonsymplectic characteristic manifold, but the rank of the symplectic form σ is not constant on CharP . Moreover the Hamilton foliation of the non symplectic stratum of the Poisson-Treves stratification for P consists of closed curves in a ring-shaped open set around the origin. W...

After introducing non-minimal variables, the midpoint insertion of Y Ȳ in cubic open Neveu-Schwarz string field theory can be replaced with an operator Nρ depending on a constant parameter ρ. As in cubic open superstring field theory using the pure spinor formalism, the operator Nρ is invertible and is equal to 1 up to a BRST-trivial quantity. So unlike the linearized equation of motion Y Ȳ QV ...

We study Markov interval maps with random holes. The holes are not necessarily elements of the Markov partition. Under a suitable, and physically relevant, assumption on the noise, we show that the transfer operator associated with the random open system can be reduced to a transfer operator associated with the closed deterministic system. Exploiting this fact, we show that the random open syst...