Publications related to Large subsets of discrete hypersurfaces in Z d contain arbitrarily many collinear points

Neural-network quantum states for periodic systems in continuous space

We introduce a family of neural quantum states for the simulation of strongly interacting systems in the presence of spatial periodicity. Our variational state is parametrized in terms of a permutationally invariant part described by the Deep Sets neural-n ...

AMER PHYSICAL SOC2022

On some algebraic and extremal problems in discrete geometry

Seyed Hossein Nassajianmojarrad

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

A note on coloring line arrangements

János Pach, Rom Pinchasi

We show that the lines of every arrangement of n lines in the plane can be colored with O(root n/log n) colors such that no face of the arrangement is monochromatic. This improves a bound of Bose et al. by a circle minus(root/log n) factor. Any further imp ...

Electronic Journal Of Combinatorics2014

Equations de type implicite avec contraintes

Chiara Tanteri

In this thesis we will treat the Dirichlet problem for systems of implicit equations, i.e. where Ω ⊂ Rn is an open set, u : Ω → Rm, Fi : Ω × Rm × Rm×n → R, m,n ≥ 1, are continuous functions and φ, the boundary datum, is given. At first we will be intereste ...

EPFL2000

Large subsets of discrete hypersurfaces in Z d contain arbitrarily many collinear points

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Neural-network quantum states for periodic systems in continuous space

On some algebraic and extremal problems in discrete geometry

A note on coloring line arrangements

Equations de type implicite avec contraintes

Equations de type implicite avec contraintes

On some algebraic and extremal problems in discrete geometry

A note on coloring line arrangements

Neural-network quantum states for periodic systems in continuous space