72 citations · 140 across the 39 of their papers we have counts for
4 papers · 1 filter
The Yomdin-Gromov algebraic lemma revisited
Gal Binyamini, Dmitry Novikov
In 1987, Yomdin proved a lemma on smooth parametrizations of semialgebraic sets as part of his solution of Shub's entropy conjecture for maps. The statement was further…
Point counting for foliations over number fields
Gal Binyamini
We consider an algebraic variety and its foliation, both defined over a number field. We prove upper bounds for the geometric complexity of the intersection between a leaf of the f…
Point counting and Wilkie's conjecture for non-archimedean Pfaffian and Noetherian functions
Gal Binyamini, Raf Cluckers, Dmitry Novikov
We consider the problem of counting polynomial curves on analytic or definable subsets over the field , as a function of the degree . A result of this typ…
Effective cylindrical cell decompositions for restricted sub-Pfaffian sets
Gal Binyamini, Nicolai Vorobjov
The o-minimal structure generated by the restricted Pfaffian functions, known as restricted sub-Pfaffian sets, admits a natural measure of complexity in terms of a format $\mathcal…