N. Sidorov

activity

19962022

most citedExpansions in non-integer bases: lower, middle and top orders

66 citations · 329 across the 36 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CA2015★ 2 cited

Skeleton decomposition of linear operators in the theory of degenerate differential equations

N. Sidorov, D. Sidorov, Y. Li

We suggest method based on the skeleton decomposition of linear operators in order to reduce ill-posed degenerate differential equations to the non-classic initial-value problem en…

math.DS2015

Multidimensional self-affine sets: non-empty interior and the set of uniqueness

Kevin G. Hare, Nikita Sidorov

Let $M$ be a $d \times d$ contracting matrix. In this paper we consider the self-affine iterated function system ${M v - u, M v + u}$ , where $u$ is a cyclic vector. Our main result is a…

math.DS2015★ 14 cited

Two-dimensional self-affine sets with interior points, and the set of uniqueness

Kevin G. Hare, Nikita Sidorov

Let $M$ be a $2 \times 2$ real matrix with both eigenvalues less than~1 in modulus. Consider two self-affine contraction maps from $R^{2} \to R^{2}$ , \begin{equation*} T_…