• Corpus ID: 119262395

Random matrix-valued multiplicative functions and linear recurrences in Hilbert-Schmidt norms of random matrices

  title={Random matrix-valued multiplicative functions and linear recurrences in Hilbert-Schmidt norms of random matrices},
  author={Maxim Gerspach},
  journal={arXiv: Number Theory},
  • Maxim Gerspach
  • Published 11 December 2018
  • Mathematics, Computer Science
  • arXiv: Number Theory
We introduce the notion of a random matrix-valued multiplicative function, generalizing Rademacher random multiplicative functions to matrices. We provide an asymptotic for the second moment based on a linear recurrence property for Hilbert-Schmidt norms of sucessive products of random matrices. Moreover, we provide upper bounds for the higher even moments related to the generalized joint spectral radius. 



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