Statistical properties of physical-like measures* * SG is supported by NSFC 11831001 and NSFC 11771025. JY is partially supported by CNPq, FAPERJ, and PRONEX of Brazil and NSFC 11871487 of China.
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DOI: 10.1088/1361-6544/abd7c9
Abstract: In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures along a sequence of C 1 diffeomorphisms {f n }… read more here.
Keywords: like measures; supported nsfc; measures supported; properties physical ... See more keywords
DOUBLING PROPERTIES OF SELF-AFFINE MEASURES SUPPORTED ON GATZOURAS–LALLEY FRACTALS
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DOI: 10.1142/s0218348x19501275
Abstract: In this paper, we study the doubling properties of self-affine measures supported on a class of self-affine sets named Gatzouras–Lalley sets. First, we show that every self-affine measure is doubli... read more here.
Keywords: properties self; measures supported; affine measures; doubling properties ... See more keywords