Limit theorems in bi-free probability theory
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DOI: 10.1007/s00440-017-0825-6
Abstract: In this paper additive bi-free convolution is defined for general Borel probability measures, and the limiting distributions for sums of bi-free pairs of self-adjoint commuting random variables in an infinitesimal triangular array are determined. These… read more here.
Keywords: probability; theory; limit theorems; theorems free ... See more keywords
Parametrized Borsuk–Ulam theorems for free involutions on FPm×S3
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DOI: 10.1016/j.topol.2018.03.015
Abstract: Abstract Let X be a finitistic space with mod 2 cohomology algebra isomorphic to that of F P m × S 3 , where F = R , C or H . Let ( X… read more here.
Keywords: involutions fpm; free involutions; theorems free; borsuk ulam ... See more keywords
Remarks on Limit Theorems for the Free Quadratic Forms
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DOI: 10.3390/e26100870
Abstract: In 2021, Ejsmont and Biernacki showed that the free tangent distribution can be used to measure household satisfaction with durable consumer goods. This distribution arises as the limit of free random variables. This, new article… read more here.
Keywords: remarks limit; quadratic forms; distribution; free quadratic ... See more keywords