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Table of Integrals, Series, and Products

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The article was published on 2007-01-01 and is currently open access. It has received 4923 citations till now. The article focuses on the topics: Table (landform).

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Hydrodynamics of phase transition fronts and the speed of sound in the plasma

TL;DR: In this paper, it was shown that the speed of sound in the low-temperature phase is generally smaller than that of radiation, and a new kind of hydrodynamical solution may be possible, which does not arise in the bag model.
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Extreme statistics of complex random and quantum chaotic states.

TL;DR: This work calculates the extreme eigenfunction statistics for the standard map with parameters at which its classical map is fully chaotic and these behaviors are consistent with the finite-N formulas.
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Ground State on the Dumbbell Graph

TL;DR: In this article, the authors considered the focusing nonlinear Schrodinger (NLS) equation on a dumbbell graph with two rings attached to a central line segment subject to the Kirchhoff boundary conditions at the junctions and showed that the ground state (the orbitally stable standing wave of the smallest energy at a fixed L norm) is represented by a constant solution.
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Patterson–Sullivan Distributions and Quantum Ergodicity

TL;DR: In this article, a relation between classical and quantum dynamics on a hyperbolic surface and a formulation of quantum ergodicity in terms of classical ergodic theory was given.
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On the dependence structure of wavelet coefficients for spherical random fields

TL;DR: In this article, the correlation structure of the random coefficients for a class of wavelet systems on the sphere (labelled Mexican needlets) was considered and necessary and sufficient conditions for these coefficients to be asymptotically uncorrelated in the real and in the frequency domain were provided.