3 papers
math.FA2019
Integral Remez inequalities for polynomials on convex bodies
L. M. Arutyunyan
We denote as an integral Remez inequality an inequality of the form where is the normalised restriction of a mea…
math.NT2018
On growth of the number of determinants with restricted entries
L. M. Arutyunyan
Let be a finite subset of a field and be a set of all matrices with entries in , namely $$ D_n(A)=\{D\in \mathbb{F}\ |\ \exists a_{ij}\in A, 1 \le i,j…
math.PR2016
Deviation of polynomials from their expectations and isoperimetry
Lavrentin M. Arutyunyan, Egor D. Kosov
In the first part we study deviation of a polynomial from its mathematical expectation. This deviation can be estimated from above by Carbery--Wright inequality, so we investigate…