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Publications associées (23)
The multivariate Serre conjecture ring
It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension
San Diego2023Relative, local and global dimension in complex networks
Dimension is a fundamental property of objects and the space in which they are embedded. Yet ideal notions of dimension, as in Euclidean spaces, do not always translate to physical spaces, which can be constrained by boundaries and distorted by inhomogenei ...
NATURE PORTFOLIO2022New Results in Integer and Lattice Programming
An integer program (IP) is a problem of the form , where , , , and is a separable convex objective function.
The problem o ...
EPFL2020Kaleidoscopic groups: permutation groups constructed from dendrite homeomorphisms
Given a transitive permutation group, a fundamental object for studying its higher transitivity properties is the permutation action of its isotropy subgroup. We reverse this relationship and introduce a universal construction of infinite permutation group ...
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN2019Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension
Fabio Nobile, Giovanni Migliorati
We analyze the accuracy of the discrete least-squares approximation of a function in multivariate polynomial spaces with over the domain , based on the s ...
2017