Correlations between zeros of a random polynomial
This process begins by noting the surface brightness relationship iS (xS , yS ) dxS dyS = iT (xT , yT ) dxT dyT , expressing the fact that if the area element is transformed according to the map, the number of photons leaving the source in that area will be the number observed in the image.
Observations of cluster substructure using weakly lensed sextupole moments
In 1962, Dyson [Dys] introduced three ensembles of random unitary matrices with a view to simplifying the study of energy level behavior in complex quantum systems.
CMV matrices in random matrix theory and integrable systems: a survey
Since the correlation functions {ρn β } of µdys,β have the expression (2.17) and the kernels Kβ are bounded, (A.1) and (A.5) are clear.
Infinite-dimensional stochastic differential equations related to random matrices
Indeed, we proved that µdys,β is a quasi-Gibbs measure and deduced the closability for k = 0 from this.
Infinite-dimensional stochastic differential equations related to random matrices
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