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Diophantine conditions in the law of the iterated logarithm for lacunary systems. [PDF]

open access: yesProbab Theory Relat Fields
Aistleitner C, Frühwirth L, Prochno J.
europepmc   +1 more source

Inhomogeneous Diophantine Approximation on $M_0$-sets

open access: yes
We prove new quantitative Schmidt-type theorem for Diophantine approximations with restraint denominators on fractals (more precisely, on $M_0$-sets). Our theorems introduce a sharp balance condition between the growth rate of the sequence of denominators and the decay rate of the Fourier transform of a Rajchman measure.
Pavlenkov, Volodymyr, Zorin, Evgeniy
openaire   +1 more source

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