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math.FA2023
On the growth rate of powers of a strongly Kreiss bounded operator on -spaces
Loris Arnold, Christophe Cuny
Let be a strongly Kreiss bounded linear operator on . We obtain a bound on the rate of growth of the norms of the powers of . The bound is optimal with respect to the p…
math.PR2023
Limit theorems for iid products of positive matrices
C Cuny, J Dedecker, F Merlevède
We study stochastic properties of the norm cocycle associated with iid products of positive matrices. We obtain the almost sure invariance principle (ASIP) with rate o(n 1/p) under…