P. Petrov

activity

20142021

most citedSurface roughness evolution in a solid-on-solid model of epitaxial growth

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2021

Analyticity domains of critical points of polynomials. A proof of Sendov's conjecture

Petar P. Petrov

Let $¶_{n}^{c} (μ ˉ, ν ˉ)$ be the set of all complex polynomials $p (z) = \prod_{i = 1}^{m} (z - z_{i})^{μ_{i}}$ , $\sum_{i = 1}^{m} μ_{i} = n$ , with derivatives of the form $$ p'(z)=n\prod_{i=1}^{m}(z-…

math.CA2015

A note on mean-value properties of harmonic functions on the hypercube

Petar Petrov

For functions defined on the $n$ -dimensional hypercube $I_{n} (r) = {x \in R^{n} ∣ ∣ x_{i} ∣ \leq r, i = 1, 2, \dots, n}$ and harmonic therein, we establi…

cond-mat.mtrl-sci2014★ 7 cited

Surface roughness evolution in a solid-on-solid model of epitaxial growth

Petar P. Petrov, Daniela Gogova

The paper presents results from kinetic Monte Carlo simulations of kinetic surface roughening using an important and experimentally relevant model of epitaxial growth -- the solid-…