Exceptional sets for the definition of quasiregularity
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DOI: 10.1016/j.jmaa.2019.123789
Abstract: Abstract We establish some quasiregularity conditions in terms of local boundedness of the inferior linear dilatation outside some exceptional sets E. read more here.
Keywords: exceptional sets; sets definition; definition quasiregularity;
EXCEPTIONAL SETS RELATED TO THE RUN-LENGTH FUNCTION OF BETA-EXPANSIONS
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DOI: 10.1142/s0218348x18500494
Abstract: Let β > 1 and x ∈ [0, 1] be real numbers. The run-length function of β-expansions denoted by rn(x,β) is defined as the maximal length of consecutive zeros in the first n digits of… read more here.
Keywords: exceptional sets; run length; length function; sets related ... See more keywords
ON SOME EXCEPTIONAL SETS IN ENGEL EXPANSIONS AND HAUSDORFF DIMENSIONS
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DOI: 10.1142/s0218348x20501406
Abstract: For any x ∈ (0, 1], let the infinite series Σn=1∞ 1 d1(x)d2(x)⋯dn(x) be the Engel expansion of x. Suppose ψ : ℕ → ℝ+ is a strictly increasing function with limn→∞ψ(n) = ∞ and… read more here.
Keywords: exceptional sets; expansions hausdorff; engel expansions; sets engel ... See more keywords