Uncertainty principles generated by Lie-groups Abstract: For unbounded operators A, B and C in general, the commutation relation [A, B] = C does not lead to the uncertainty relation ‖Au‖‖Bu‖ ≥ 1 2 |〈Cu, u〉|. If A, B and C are part of the generators of a unitary representation of a Lie group then the uncertainty principle above holds.

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In this paper, we study a qualitative uncertainty principle for completely solvable Lie groups.

W analyze the competitive capacity investment timing decisions of both established firms and start-ups entering new markets, which have a high degree of demand uncertainty. Firms may invest in capacity early (when uncertainty is high) or late (when uncertainty has been resolved), possibly at different costs. Established firms choose an investment timing and capacity level to maximize expected p...

Suppose the distributions {μn} on Θ obey a large deviation principle (LDP) and that for each θ ∈ Θ the distributions {Pn θ } on X also obey an LDP. The main purpose of this paper is to give conditions which allow an LDP for the mixtures {Pn}, given by Pn(A) = ∫ Pn θ (A)dμn(θ), to be deduced. The treatment follows that of Dinwoodie and Zabell (1992) who, motivated by exchangeability, consider th...

There are quite a number of published papers dealing with impacts of Chinese culture on IT practices. Although they contribute to a better understanding of the phenomenon, their findings are fragmented and not systematic. The aim of this paper is to address this inadequacy by contributing to a fuller picture. We do an exhaustive literature study of published referred papers in this area. We use...

It is shown that the formula for the Möbius pseudodistance for the annulus yields better estimates than previously known for the constant in the Bergman space maximum principle.

This paper is the second part in a series that provides a comprehensive survey of the problems and techniques of tracking maneuvering targets in the absence of the so-called measurement-origin uncertainty. It surveys motion models of ballistic targets used for target tracking. Models for all three phases (i.e., boost, coast, and reentry) of motion are covered.

A generalized uncertainty relation for an entangled pair of particles is obtained if we impose a symmetrization rule for all operators that we should use when doing any calculation using the entangled wave function of the pair. This new relation reduces to Heisenberg’s uncertainty relation when the particles have no correlation and suggests that we can have new lower bounds for the product of p...

Only about 1,000 qualitatively different protein folds are believed to exist in nature. Here, we review theoretical studies which suggest that some folds are intrinsically more designable than others, i.e. are lowest energy states of an unusually large number of sequences. The sequences associated with these folds are also found to be unusually thermally stable. The connection between highly de...