1 citations · 1 across the 7 of their papers we have counts for
8 papers
Brjuno condition through best approximations and the linearization problem
Nicolas Chevallier, João Lopes Dias, José Pedro Gaivão +2
We consider the classical analytic linearization problem for vector fields on the torus close to a constant vector field . Our goals are twofold. First, we provid…
A note on uniform version of Littlewood inequality and Fibonacci numbers
Nikolay Moshchevitin
We give a simple proof of a recent result by J. Schleischitz dealing with a counterexample to the uniform Littlewood conjecture. Our construction is based on simple properties of F…
A note on general isolation result in Diophantine Approximation
Sergei Pitcyn, Nikolay Moshchevitin
In the present paper we give very simple general statements which deal with approximation of a real number by rationals and are related to isolation phenomenon. In particular we st…
Bad approximability, bounded ratios and Diophantine exponents
Antoine Marnat, Nikolay Moshchevitin, Johannes Schleischitz
For a real matrix , we consider its sequence of best Diophantine approximation vectors , the sequences of its nor…
Metric theory of inhomogeneous Diophantine approximations with a fixed matrix
Nikolay Moshchevitin, Vasiliy Neckrasov
In this paper we develop a metric theory of inhomogeneous Diophantine approximation for the case of a fixed matrix. We use transference principle to connect uniform Diophantine pro…
Singularity, weighted uniform approximation, intersections and rates
Dmitry Kleinbock, Nikolay Moshchevitin, Jacqueline Warren +1
A classical argument was introduced by Khintchine in 1926 in order to exhibit the existence of totally irrational singular linear forms in two variables. This argument was subseque…
Dirichlet improvability in -norms
Nikolay Moshchevitin, Nikita Shulga
For a norm on , we consider the set of -Dirichlet improvable numbers . In the most important case of being an -norm with , wh…
On an example by Poincaré and sums with Kronecker sequence
Nikolay Moshchevitin
This short and simple communication is motivated by recent papers by L. Colzani and A. Kochergin. We give a brief analysis of an example by Poincaré related to sums of the type $ \…