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We study some systems of polynomials whose support lies in the convex hull of a circuit, giving a sharp upper bound for their numbers of real solutions. This upper bound is non-trivial in that it is… (More)

- Benoît Bertrand
- 2007

We define nondegenerate tropical complete intersections imitating the corresponding definition in complex algebraic geometry. As in the complex situation, all nonzero intersection multiplicity… (More)

- H. Bohuslavskyi, Sylvain Barraud, +8 authors Maud Vinet
- 2017 Silicon Nanoelectronics Workshop (SNW)
- 2017

This paper reports the first cryogenic characterization of 28nm Fully-Depleted-SOI CMOS technology. A comprehensive study of digital/analog performances and body-biasing from room to the liquid… (More)

- Benoît Bertrand
- 2006

Viro method plays an important role in the study of topology of real algebraic hypersurfaces. The T-primitive hypersurfaces we study here appear as the result of Viro's combinatorial patchworking… (More)

We present several formulas for the intersection multiplicity numbers considered in [3]. These numbers are associated to any dimensional cell of the common intersection of the tropical hypersurfaces.… (More)

- Benoît Bertrand, Hanno Flentje, +6 authors T. Meunier
- Physical review letters
- 2015

We studied experimentally the dynamics of the exchange interaction between two antiparallel electron spins in an isolated double quantum dot where coupling to the electron reservoirs can be ignored.… (More)

- Benoît Bertrand
- 2005

A real algebraic variety is maximal (with respect to the SmithThom inequality) if the sum of the Betti numbers (with Z2 coefficients) of the real part of the variety is equal to the sum of Betti… (More)

- Benoît Bertrand, Sylvain Hermelin, +7 authors T. Meunier
- Nanotechnology
- 2016

We study the injection mechanism of a single electron from a static quantum dot into a moving quantum dot. The moving quantum dots are created with surface acoustic waves (SAWs) in a long depleted… (More)

- L. Hutin, Benoît Bertrand, +12 authors Maud Vinet
- 2017 IEEE International Conference on IC Design…
- 2017

We present some recent progress towards the implementation of semiconductor spin quantum bits derived from a Si CMOS technology platform. Our approach consists in developing a foundry-compatible… (More)

A cumbersome hypothesis for Viro patchworking of real algebraic curves is the convexity of the given subdivision. It is an open question in general to know whether the convexity is necessary. In the… (More)