D. Novikov

activity

20002009

most citedHahn decomposition and Radon-Nikodym theorem with a parameter

4 citations · 6 across the 6 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.DG2009

Linear estimate for the number of zeros of Abelian integrals

S. G. Malev, D. Novikov

We prove a linear in $de g ω$ upper bound on the number of real zeros of the Abelian integral $I (t) = \int_{δ (t)} ω$ , where $δ (t) \subset R^{2}$ is the real oval $x^{2} y (1 - x - y) = t$ and $ω$ i…

math.DS2009★ 1 cited

Pseudo-Abelian integrals: unfolding generic exponential case

Marcin Bobienski, Pavao Mardesic, Dmitry Novikov

We consider an integrable polynomial system with generalized Darboux first integral H_0. We assume that it defines a family of real cycles in a region bounded by a polycycle. To an…