2 citations · 4 across the 2 of their papers we have counts for
3 papers
math.LO2005★ 2 cited
On o-minimality of extensions of by restricted generic smooth functions
Alexei Grigoriev
It is shown that the extension of by a generic smooth function restricted to the unit cube is o-minimal. The generalization to countably many generic smooth functions is indic…
math.DS2003★ 2 cited
Uniform asymptotic bound on the number of zeros of Abelian integrals
Alexei Grigoriev
We give a uniform asymptotic bound for the number of zeros of complete Abelian integrals in domains bounded away from infinity and the singularities.
math.DS2000
On zeros of solutions of linear differential systems
Alexei Grigoriev
An approach is proposed for bounding the number of zeros that solutions of linear differential systems with polynomial coefficients may have. A bound is obtained in a special case…