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Functions of Bounded Variation and Point Processes
J. Antezana, M. Levi, J. Marzo +1
We investigate the relationship between the analytical properties of functions of bounded variation and the statistical behavior of hyperuniform point processes. We establish sever…
Stability of the generalized Wehrl entropy and the local concentration of homogeneous polynomials
MarÃa Ãngeles GarcÃa-Ferrero, Joaquim Ortega-CerdÃ
We study two notions of concentration for homogeneous polynomials of degree in complex variables on the unit sphere: a local notion measuring the fraction of the -no…
A Bombieri-type inequality and equidistribution of points
Ujué Etayo, Haakan Hedenmalm, Joaquim Ortega-CerdÃ
In recent work, Etayo introduces a new Bombieri-type inequality for monic polynomials. Here we reinterpret this new inequality as a more general integral inequality involving the G…
Stability of the concentration inequality on polynomials
MarÃa Ãngeles GarcÃa-Ferrero, Joaquim Ortega-CerdÃ
In this paper, we study the stability of the concentration inequality for one-dimensional complex polynomials. We provide the stability of the local concentration inequality and a…