4 citations · 8 across the 10 of their papers we have counts for
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Discrete part of the second Lagrange spectrum
Dmitry Gayfulin
Given an irrational number consider its irrationality measure function . The set of all values of $λ(α)=(\limsup\limits_…
On Furstenberg's Diophantine result
Dmitry Gayfulin, Nikolay Moshchevitin
We give a very simple and explicit exposition of the effective results on by Bourgain, Lindenstrauss, Michel and Venkatesh.
On the derivative of the Minkowski question-mark function
Dmitry Gayfulin
The Minkowski question-mark function is a continuous strictly increasing function defined on interval. It is well known fact that the derivative of this function, if…
Diophantine properties of fixed points of Minkowski question mark function
Dmitry Gayfulin, Nikita Shulga
We consider irrational fixed points of the Minkowski question mark function , that is irrational solutions of the equation . It is easy to see that there exist at l…
Admissible endpoints of gaps in the Lagrange spectrum
Dmitry Gayfulin
We call a positive real number admissible if it belongs to the Lagrange spectrum and there exists an irrational number such that . Here denotes the Lagrange…
Attainable numbers and the Lagrange spectrum
Dmitry Gayfulin
The paper is devoted to the properties of the Lagrange spectrum left endpoints and so-called attainable numbers.
On Diophantine exponents in dimension 4
Dmitry Gayfulin, Nikolay Moshchevitin
We obtain some new inequalities between the ordinary and the uniform Diophantine exponents for simultaneous Diophantine approximation to four real numbers.
On the derivative of two functions from Denjoy-Tichy-Uitz family
Dmitry Gayfulin
The family of functions, we investigate in this article, was originally introduced by A.Denjoy and later rediscovered by R Tichy and J. Uitz. We denote the functions of the family…