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We provide the first examples of finitely generated simple groups that are amenable (and infinite). This follows from a general existence result on invariant states for piecewise-translations of the integers. The states are obtained by constructing a suita ...
Given a collection of n opaque unit disks in the plane, we want to find a stacking order for them that maximizes their visible perimeter, the total length of all pieces of their boundaries visible from above. We prove that if the centers of the disks form ...
The modern computing landscape contains an increasing number of app ecosystems, where users store personal data on platforms such as Facebook or smartphones. APIs enable third-party applications (apps) to utilize that data. A key concern associated with ap ...
Carbides constitute a class of materials used for many applications, where excellent mechanical properties, such as stiffness, hardness and fracture toughness, are required. The machining industry is a typical example where carbide are crucial materials. W ...
We show that the Chow covectors of a linkage matching field define a bijection of lattice points and we demonstrate how one can recover the linkage matching field from this bijection. This resolves two open questions from Sturmfels & Zelevinsky (1993) on l ...
The simulation of condensed matter in first principles Molecular Dynamics (FPMD) heavily relies on Kohn-Sham Density Functional Theory (KS-DFT) calculations. The accuracy of such simulations is governed by the reliability of the underlying potential energy ...
Given a collection of n opaque unit disks in the plane, we want to find a stacking order for them that maximizes their visible perimeter, the total length of all pieces of their boundaries visible from above. We prove that if the centers of the disks form ...
Rock fall hazard assessment and zoning are very important for an appropriate land use planning in mountainous areas. However, they are complex topics, and current methodologies adopted for producing zoning maps do not provide satisfactory results, due to a ...
Rock fall hazard assessment and zoning are very important for an appropriate land use planning in mountainous areas. However, they are complex topics, and current methodologies adopted for producing zoning maps do not provide satisfactory results, due to a ...
Evaluating the performance of different 3D codecs on multiview autostereoscopic monitor is a tedious process, as it requires the synthesis of a dense set of views. Therefore, it is legitimate to ask if evaluations could be performed on stereoscopic monitor ...