Concept
Finite geometry
Related publications (40)
Friction and fracture: richness and complexity in dynamic rupture
Understanding how things break and slide is of paramount importance to describe the dynamics of a broad range of physical systems. This includes day-to-day problems such as the breaking of a glass of wine or the sliding of skis on snow, but also engineerin ...
EPFL2023Convex optimization in sums of Banach spaces
Michaël Unser, Shayan Aziznejad
We characterize the solution of a broad class of convex optimization problems that address the reconstruction of a function from a finite number of linear measurements. The underlying hypothesis is that the solution is decomposable as a finite sum of compo ...
2021Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case
We consider the problem of finding an optimal transport plan between an absolutely continuous measure and a finitely supported measure of the same total mass when the transport cost is the unsquared Euclidean distance. We may think of this problem as close ...
SPRINGER HEIDELBERG2020Uniform distribution in nilmanifolds along functions from a Hardy field
We study equidistribution properties of translations on nilmanifolds along functions of polynomial growth from a Hardy field. More precisely, if is a nilmanifold, are commuting nilrotations, and are funct ...
2020Incidences Between Planes Over Finite Fields
In this note, we use methods from spectral graph theory to obtain bounds on the number of incidences between k-planes and h-planes in F-q(d), which generalizes a recent result given by Bennett, Iosevich, and Pakianathan (2014). More precisely, we prove tha ...
AMER MATHEMATICAL SOC2019Load-Transfer Approach for Modeling the Cyclic Thermo-Mechanical Behaviour of Energy Piles
Energy piles are subjected to short- and long-term cyclic thermal loads due to their unique role as heat exchangers. Their response to monotonic temperature change has been investigated by various researchers from both experimental and numerical points of ...
2018On the existence of ordinary triangles
Sebastian Urban Stich, Radoslav Fulek, Márton Naszódi
Let P be a finite point set in the plane. A \emph{c-ordinary triangle} in P is a subset of P consisting of three non-collinear points such that each of the three lines determined by the three points contains at most c points of P. Motivated by a question o ...
Elsevier2017Extension complexity of stable set polytopes of bipartite graphs
Yuri Faenza, Manuel Francesco Aprile
The extension complexity xc(P) of a polytope P is the minimum number of facets of a polytope that affinely projects to P. Let G be a bipartite graph with n vertices, m edges, and no isolated vertices. Let STAB(G) be the convex hull of the stable sets of G. ...
Springer2017Fluid-structure interaction for vascular flows: From supercomputers to laptops
Simone Deparis, Davide Forti, Claudia Maria Colciago
Several models exist for the simulation of vascular flows; they span from simple circuit models to full three-dimensional ones that take into account detailed features of the blood and of the arterialwall. Eachmodel comeswith both benefits and drawbacks, t ...
De Gruyter2017