Frédéric Bihan

activity

20042026

most citedLower bounds for positive roots and regions of multistationarity in chemical reaction networks

30 citations · 93 across the 23 of their papers we have counts for

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Showing 2015 · math.AGShow all

2 papers · 2 filters

math.AG2015★ 2 cited

Sparse Polynomial Systems with many Positive Solutions from Bipartite Simplicial Complexes

Frédéric Bihan, Pierre-Jean Spaenlehauer

Consider a regular triangulation of the convex-hull $P$ of a set $A$ of $n$ points in $R^{d}$ , and a real matrix $C$ of size $d \times n$ . A version of Viro's method…

math.AG2015

A sharp bound on the number of real intersection points of a sparse plane curve with a line

Frédéric Bihan, Boulos El Hilany

We prove that the number of real intersection points of a real line with a real plane curve defined by a polynomial with at most t monomials is either infinite or does not exceed 6…