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Name
arXiv.org e-Print Archive
Type
Thematic Repository
Items
1243658 Publications
Compatibility
OpenAIRE Basic (DRIVER OA)
OAI-PMH
http://export.arxiv.org/oai2
More information
Detailed data provider information (OpenDOAR)

 

  • Continuous cohomology and homology of profinite groups

    (2003)
    We develop cohomological and homological theories for a profinite group $G$ with coefficients in the Pontryagin dual categories of pro-discrete and ind-profinite $G$-modules, respectively. The standard results of group (co)homology hold for this theory: we prove versions of the Universal Coefficient Theorem, the Lyndon-Hochschild-Serre spectral sequence and Shapiro's Lemma.

    Two Poisson structures invariant with respect to discrete transformation in the case of arbitrary semi-simple algebras

    Two Poisson structures invariant with respect to discrete transformation of the Maximal root in the case of arbitrary semi-simple algebras are presented in explicit form. Thus the problem of construction of equations of n-wave hierarchy in the case of arbitrary semi simple algebra is solved finally.

    The interstellar cold dust observed by COBE

    Using DIRBE and FIRAS maps at high latitude ($|b|>10^{\circ}$) we derive the spatial distribution of the dust temperature associated with the diffuse cirrus and the dense molecular clouds. For a $\nu^2$ emissivity law, we find that the equilibrium dust temperature of the cirrus is about 17.5 K with only small variations over the high latitude sky. Comparison of the far Infrared DIRBE maps shows the presence of a colder emission component with a temperature around 15 K, assuming a $\nu^2$ emis...

    The Quantum Corrected Mode Function and Power Spectrum for a Scalar Field during Inflation

    We compute the one- and two-loop corrected mode function of a massless minimally coupled scalar endowed with a quartic self-interaction in the locally de Sitter background of an inflating universe for a state which is released in Bunch-Davies vacuum at time $t=0$. We then employ it to correct the scalar's tree-order scale invariant power spectrum $\Delta^2_\varphi$. The corrections are secular, and have scale dependent part that can be expanded in even powers of $k/(Ha)$, where $k$ is the com...

    A Geometric Interpretation of Fading in Wireless Networks: Theory and Applications

    In wireless networks with random node distribution, the underlying point process model and the channel fading process are usually considered separately. A unified framework is introduced that permits the geometric characterization of fading by incorporating the fading process into the point process model. Concretely, assuming nodes are distributed in a stationary Poisson point process in $\R^d$, the properties of the point processes that describe the path loss with fading are analyzed. The ma...
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