An inequality for the matrix pressure function and applications

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An Inequality for the Matrix Pressure Function and Applications

We prove an a priori lower bound for the pressure, or p-norm joint spectral radius, of a measure on the set of d × d real matrices which parallels a result of J. Bochi for the joint spectral radius. We apply this lower bound to give new proofs of the continuity of the affinity dimension of a selfaffine set and of the continuity of the singular-value pressure for invertible matrices, both of whi...

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ژورنال

عنوان ژورنال: Advances in Mathematics

سال: 2016

ISSN: 0001-8708

DOI: 10.1016/j.aim.2016.07.025