The space of invariant measures for countable Markov shifts

نویسندگان

چکیده

It is well known that the space of invariant probability measures for transitive sub-shifts finite type a Poulsen simplex. In this article we prove in non-compact setting, large family countable Markov shifts, sub-probability simplex and its extreme points are ergodic together with zero measure. particular, obtain minus vertex corresponding convex combinations. Our results apply to entropy non-locally compact shifts every locally shift. order these introduce topology on generalizes vague class spaces, convergence cylinders. We also analogous suspension flows defined over shifts.

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ژورنال

عنوان ژورنال: Journal D Analyse Mathematique

سال: 2021

ISSN: ['0021-7670', '1565-8538']

DOI: https://doi.org/10.1007/s11854-021-0159-2