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8 papers · 1 filter
Approximate quantum and acoustic cloaking
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
At any energy E > 0, we construct a sequence of bounded potentials , supported in an annular region in three-space, which act as approxi…
Invisibility and Inverse Problems
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
This survey of recent developments in cloaking and transformation optics is an expanded version of the lecture by Gunther Uhlmann at the 2008 Annual Meeting of the American Mathema…
Some Observations for Mean-Field Spin Glass Models
Shannon Starr, Brigitta Vermesi
We obtain bounds to show that the pressure of a two-body, mean-field spin glass is a Lipschitz function of the underlying distribution of the random coupling constants, with respec…
Quantization of Contact Manifolds and Thermodynamics
S. G. Rajeev
The physical variables of classical thermodynamics occur in conjugate pairs such as pressure/volume, entropy/temperature, chemical potential/particle number. Nevertheless, and unli…
Electromagnetic wormholes and virtual magnetic monopoles
Allan Greenleaf, Yaroslav Kurylev, Matti Lassas +1
We describe new configurations of electromagnetic (EM) material parameters, the electric permittivity and magnetic permeability , that allow one to construct from metamateri…
Universality for orthogonal and symplectic Laguerre-type ensembles
Percy Deift, Dimitri Gioev, Thomas Kriecherbauer +1
We give a proof of the Universality Conjecture for orthogonal (beta=1) and symplectic (beta=4) random matrix ensembles of Laguerre-type in the bulk of the spectrum as well as at th…