Divergences in the Moduli Space Integral and Accumulating Handles in the Infinite-Genus Limit
The symmetries associated with the closed bosonic string partition function are examined so that the integration region in Teichmuller space can be determined.
Davis, Simon
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An entropic uncertainty principle for positive operator valued measures
Extending a recent result by Frank and Lieb, we show an entropic uncertainty principle for mixed states in a Hilbert space relatively to pairs of positive operator valued measures that are independent in some sense.
D. Petz +9 more
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Critical behaviour of thin films with quenched impurities
The critical behaviour of thin films containing quenched random impurities and inhomogeneities is investigated by the renormalization-group method. The finite-size crossover in impure films has been considered on the basis of the fundamental relationship
Boyanovsky +31 more
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Limits of elliptic hypergeometric integrals
In math.QA/0309252, the author proved a number of multivariate elliptic hypergeometric integrals. The purpose of the present note is to explore more carefully the various limiting cases (hyperbolic, trigonometric, rational, and classical) that exist.
Rains, Eric M.
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Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model
We consider an exact expression for the 6j-symbol for the isosceles tetrahedron, involving integrals over SU(2), and use it to write the two-point function of 3d gravity on a single tetrahedron as a group integral.
Alesci +34 more
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Inequalities and majorisations for the Riemann-Stieltjes integral on time scales
We prove dynamic inequalities of majorisation type for functions on time scales. The results are obtained using the notion of Riemann-Stieltjes delta integral and give a generalization of [App. Math. Let. 22 (2009), no.
Mozyrska, Dorota +2 more
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On the expansion of the Kummer function in terms of incomplete Gamma functions
The expansion of Kummer's hypergeometric function as a series of incomplete Gamma functions is discussed, for real values of the parameters and of the variable.
Morosi, Carlo, Pizzocchero, Livio
core
Universal optimality of the $E_8$ and Leech lattices and interpolation formulas
We prove that the $E_8$ root lattice and the Leech lattice are universally optimal among point configurations in Euclidean spaces of dimensions $8$ and $24$, respectively.
Cohn, Henry +4 more
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Recently, the numbers $Y_{n}(\lambda )$ and the polynomials $Y_{n}(x,\lambda)$ have been introduced by the second author [22]. The purpose of this paper is to construct higher-order of these numbers and polynomials with their generating functions.
Kucukoglu, Irem, Simsek, Yilmaz
core
Quantum Thermodynamic Uncertainty Relations, Generalized Current Fluctuations and Nonequilibrium Fluctuation-Dissipation Inequalities. [PDF]
Reiche D, Hsiang JT, Hu BL.
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