Tightness of Products of I.I.D. Random Matrices. II

Arunava Mukherjea

doi:10.1214/aop/1176988501

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Home > Journals > Ann. Probab. > Volume 22 > Issue 4 > Article

October, 1994 Tightness of Products of I.I.D. Random Matrices. II

Arunava Mukherjea

Ann. Probab. 22(4): 2223-2234 (October, 1994). DOI: 10.1214/aop/1176988501

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Abstract

In this paper, we prove a necessary and sufficient condition for tightness of products of i.i.d. finite-dimensional random real matrices. We give an example illustrating the use of our theorem and treat in more details the case of $2 \times 2$ real matrices.

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Arunava Mukherjea. "Tightness of Products of I.I.D. Random Matrices. II." Ann. Probab. 22 (4) 2223 - 2234, October, 1994. https://doi.org/10.1214/aop/1176988501