26 citations · 69 across the 15 of their papers we have counts for
15 papers
An antisymmetric solution of the 3D incompressible Navier-Stokes equations
C. Boldrighini, S. Frigio, P. Maponi +2
We report results on the behavior of a particular incompressible Navier-Stokes (NS) flow in the whole space , related to the complex singular solutions introduced by Li and…
On a Problem in Diophantine Approximation
Evgeni Dimitrov, Yakov Sinai
We prove new results, related to the Littlewood and Mixed Littlewood conjectures in Diophantine approximation.
Ergodic Properties of Square-Free Numbers
Francesco Cellarosi, Yakov G. Sinai
We construct a natural invariant measure concentrated on the set of square-free numbers, and invariant under the shift. We prove that the corresponding dynamical system is isomorph…
Non-Standard Limit Theorems in Number Theory
Francesco Cellarosi, Yakov G. Sinai
We present a limit theorem describing the behavior of a probabilistic model for square-free numbers. The limiting distribution has a density that comes from the Dickman-De Bruijn f…
Separating Solution of a Quadratic Recurrent Equation
Yakov G. Sinai, Ilya Vinogradov
In this paper we consider the recurrent equation for with and given. We giv…
Limiting Distribution of Frobenius Numbers for
V. Shur, Ya. Sinai, A. Ustinov
The purpose of this paper is to give a complete derivation of the limiting distribution of large Frobenius numbers outlined in earlier work of J. Bourgain and Ya. Sinai and fill so…