196,155 research outputs found
Hilbert module realization of the square of white noise and the finite difference algebra
No full textWe develop an approach to the representations theory of the algebra of the square of white noise based on the construction of Hilbert modules. We find the unique Fock representation and show that the representation space is the usual symmetric Fock space. Although we started with one degree of freedom we end up with countably many degrees of freedom. Surprisingly, our representation turns out to have a close relation to Feinsilver's finite difference algebra. In fact, there exists a holomorphic image of the finite difference algebra in the algebra of square of white noise. Our representation restricted to this image is the Boukas representation on the finite difference Fock space. Thus we extend the Boukas representation to a bigger algebra, which is generated by creators, annihilators, and number operators
Interacting Fock space versus full Fock module
No full textWe present several examples where moments of creators and annihilators on an {\it interacting Fock space} may be realized as moments of creators and annihilators on a {\it full Fock module}. Motivated by this experience we answer the question, wether such a possibility exists for arbitrary interacting Fock spaces, in the affirmative sense.
Finally, we consider a subcategory of interacting Fock spaces which are embeddable into a usual Fock space. We see that a creator on the interacting Fock space is represented by an operator , where is a usual creator on the full Fock space and is an operator which does not change the number of particles. In the picture of Hilbert modules the one-particle sector is replaced by a two-sided module over an algebra which contains . Therefore, may be absorbed into the creator, so that we are concerned with a usual creator. However, this creator does not act on a Fock space, but rather on a Fock module
Unnaturalizing bodies:An ethnographic inquiry into midwifery care in Germany
No full textIn public discourses, midwifery care figures as a marginalized profession standing in opposition to technocratic obstetrics. Midwives are thought to handle pregnancy and birth as ‘natural’ events, not as those in need of a medical and technical approach. However, discourses that naturalize pregnancy and birth restrict what ‘good’ pregnant-, fetal-, and birthing bodies and ways of lives may look like. Midwifery care practices are more complex, more ambiguous, and more creative than these discourses suggest.Inspired by feminist science and technology studies of care practices and the material-semiotic approach they utilize, Annekatrin Skeide develops a practice-based approach to midwifery in Germany as an alternative strategy for strengthening midwifery care. Drawing on praxiographic fieldwork in hospitals and homes, in midwife-led birthing places and ob-gyn practices, she avoids opposing midwifery to obstetrics. In her research, Skeide instead shows how ‘medical’ and ‘social’ repertoires are intertwined in midwifery care practices.Rather than praising midwifery’s inherent and universal ‘goodness,’ Skeide explores how pregnant-, fetal-, and birthing bodies and lives become part of different midwifery care arrangements, bringing together various, changing, and contradictory sets of knowledges, techniques, activities, and values. What good midwifery practices and good pregnant-, fetal-, and birthing bodies and lives are, cannot be set once and for all. But Skeide’s thesis provides tools for analyzing how bodies and lives are enacted in ways that fit their situations, better or worse, and which values or ‘goods’ hence emerge
Squared white noise and other non-Gaussian noises as Levy processes on real Lie algebras
No full textIt is shown how the relations of the renormalized squared white noise defined
by Accardi, Lu, and Volovich \cite{accardi+lu+volovich99} can be realized as
factorizable current representations or L\'evy processes on the real Lie
algebra \eufrak{sl}_2. This allows to obtain its It\^o table, which turns
out to be infinite-dimensional. The linear white noise without or with number
operator is shown to be a L\'evy process on the Heisenberg-Weyl Lie algebra
or the oscillator Lie algebra. Furthermore, a joint realization of the linear
and quadratic white noise relations is constructed,
but it is proved that no such realizations exist with a vacuum that is an eigenvector of the central element and the annihilator. Classical L\'evy processes are shown to arise as components of L\'evy process on real Lie algebras and their distributions are characterized
Extending the Set of Quadratic Exponential Vectors
No full textWe extend the square of white noise algebra over the step functions on R to the test function space L-2(R-d) boolean AND L-infinity (R-d), and we show that in the Fock representation the exponential vectors exist for all test functions bounded by 1/2
Maximal commutative subalgebras invariant for CP-maps: (counter-)examples
No full textAvailable at http://www.worldscinet.com/idaqp/11/1104/S0219025708003269.htm
Response to Skeide and Friederici: The myth of the uniquely human “direct” dorsal pathway
No full textIn their comment on our recent article [1], Skeide and Friederici [2] claim ‘that some important data not discussed by Bornkessel-Schlesewsky et al. strongly support the view that there are clear qualitative, and not merely quantitative, differences between [human and nonhuman primate] species with respect to both the intrinsic functional connectivity of frontal and temporal cortices, and their direct structural connection via a dorsal white matter fiber tract.’ This obviously refers to work by Friederici and colleagues [3] emphasizing the functional importance of a direct connection between the posterior superior temporal cortex (pSTC) and Brodmann area (BA) 44 in humans, and its absence in monkeys
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A Norwegian grey zone: Knut Rød, Victor Lind and 'The crucial year, 1942'
No full textThis article uses Primo Levi’s concept of “the grey zone” to explore Knut Rød’s involvement in the transfer of 532 Norwegian Jews from Oslo to Auschwitz in 1942. Rød, the police chief in charge of the operation, was subsequently exonerated of any crime on the grounds that he had simultaneously used his position to help members of Milorg – the Norwegian Resistance. The legal and moral basis of this verdict has been questioned by the artist Victor Lind in a series of artworks, including his “countermonument” The Perpetrator (2005)
Dr. Duane M. Jackson, Morehouse College, July 2011
No full textThis video is a conversation with Dr. Duane M. Jackson. Dr. Jackson talks about his paper, "Recall and the Serial Position Effect: The Role of Primacy and Recency on Accounting Students' Performance." Jackie Daniel, AUC Woodruff Library, is the interviewer
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