Integral motives and special values of zeta functions

Milne, J. S.; Ramachandran, Niranjan

doi:10.1090/s0894-0347-04-00458-8

Cited by 12 publications

(14 citation statements)

References 46 publications

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“…The concern with radiation imprisonment goes back at least as far as the 1920s, when Compton [46] and Milne [47] described theoretically the diffusion of resonant light in absorbing media. Kenty [29] interpreted experimental measurements by Zemansky [48,49] by taking into account the redistribution of frequency that takes place between absorption and reemission of light and ascertained that "Abnormally long free paths are found to be of such importance as to enable resonance radiation to escape from a body of gas faster than has usually been supposed...…”

Section: A Radiation Trappingmentioning

confidence: 99%

Radiation trapping and Lévy flights in atomic vapours: an introductory review

Chevrollier

2012

Contemporary Physics

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Multiple scattering is a process in which a particle is repeatedly deflected by other particles. In an overwhelming majority of cases, the ensuing random walk can successfully be described through Gaussian, or normal, statistics. However, like a (growing) number of other apparently inofensive systems, diffusion of light in dilute atomic vapours eludes this familiar interpretation, exhibiting a superdiffusive behavior. As opposed to normal diffusion, whereby the particle executes steps in random directions but with lengths slightly varying around an average value (like a drunkard whose next move is unpredictable but certain to within a few tens of centimeters), superdiffusion is characterized by sudden abnormally long steps (Lévy flights) interrupting sequences of apparently regular jumps which, although very rare, determine the whole dynamics of the system. The formal statistics tools to describe superdiffusion already exist and rely on stable, well understood distributions. As scientists become aware of, and more familiar with, this non-orthodox possibility of interpretation of random phenomena, new systems are discovered or re-interpreted as following Lévy statistics. Propagation of light in resonant atomic vapours is one of these systems that have been studied for decades and have only recently been shown to be the scene of Lévy flights.

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Section: A Radiation Trappingmentioning

confidence: 99%

Radiation trapping and Lévy flights in atomic vapours: an introductory review

Chevrollier

2012

Contemporary Physics

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“…)) in his determinant as the determinant of the Artin-Verdier étale motivic cohomology H * et,av (X, Z) (which contains both integral étale motivic information and Betti information; maybe a p-part information should be added following Milne and Ramachandran [MR13]; the Weil-étale motivic cohomology would even be better) and the factor det −1 (H * dR,f il (X/Z)) as the determinant of filtered de Rham cohomology over (Z, | • | 0 ). We conjecture that the base extension…”

Section: Stable Homotopy Theory Of Sheavesmentioning

confidence: 99%

Global analytic geometry

Paugam

2009

Journal of Number Theory

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Motivated by the well-known lack of archimedean information in algebraic geometry, we define, formalizing Ostrowski's classification of seminorms on Z, a new type of valuation of a ring that combines the notion of Krull valuation with that of a multiplicative seminorm. This definition partially restores the broken symmetry between archimedean and non-archimedean valuations artificially introduced in arithmetic geometry by the theory of schemes. This also allows us to define a notion of global analytic space that reconciles Berkovich's notion of analytic space of a (Banach) ring with Huber's notion of non-archimedean analytic spaces. After defining natural generalized valuation spectra and computing the spectrum of Z and Z[X], we define analytic spectra and sheaves of analytic functions on them.

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“…The great usefulness of chest skiagrams for monitoring purposes lies in their ability to show changes in the pulmonary water content (Yu. 1971;Luepker et a%, 1971;Crosbie et alii, 1972;Milne, 1973;Biddle et alii, 1974;Morton et alii, 1976). This process is obviously of central importance in the development of pulnionary cedema.…”

Section: T I I P M O N I T O R I N G Value Of Serial Chestmentioning

confidence: 99%

Patient Monitoring

Morton

1976

Australian and New Zealand Journal of Surgery

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Optimum results are obtained in the care of the critically ill patient if efforts are directed to maintaining the internal environment in a state as near normal as possible. This cannot be done without the use of basic monitoring procedures. Complex investigations may have a legitimate and necessary role as research tools. There is, however, a real risk of complex procedures becoming an end in themselves in general intensive therapy units, where they are apt to distract overworked nurses and medical attendants f r o m the care of their patients. It is important, therefore, for clearcut indications f o r various monitoring procedures to be defined, and in this paper an attempt has been made to outline a logical approach to the monitoring of critical 131 ill general surgical patients admitted to intensive therapy units.

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Integral motives and special values of zeta functions

Cited by 12 publications

References 46 publications

Radiation trapping and Lévy flights in atomic vapours: an introductory review

Radiation trapping and Lévy flights in atomic vapours: an introductory review

Global analytic geometry

Patient Monitoring

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