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- Interdisciplinary Centre for Security, Reliability and TrustLU193 papers
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37 papers · 1 filter
Self-commuting lattice polynomial functions
Miguel Couceiro, Erkko Lehtonen
We provide sufficient conditions for a lattice polynomial function to be self-commuting. We explicitly describe self-commuting polynomial functions over chains.
Measuring the interactions among variables of functions over the unit hypercube
Jean-Luc Marichal, Pierre Mathonet
By considering a least squares approximation of a given square integrable function by a multilinear polynomial of a specified degree, we define an index which…
Ergodicity and Gaussianity for Spherical Random Fields
Domenico Marinucci, Giovanni Peccati
We investigate the relationship between ergodicity and asymptotic Gaussianity of isotropic spherical random fields, in the high-resolution (or high-frequency) limit. In particular,…
Wheeled props in algebra, geometry and quantization
S. A. Merkulov
These are expanded notes of author's talk at the ECM 2008 attempting to give an elementary introduction into the main ideas of the theory of wheeled props for beginners, and also a…
Invariant functionals on completely distributive lattices
Marta Cardin, Miguel Couceiro
In this paper we are interested in functionals defined on completely distributive lattices and which are invariant under mappings preserving {arbitrary} joins and meets. We prove t…
On the homomorphism order of labeled posets
Leonard Kwuida, Erkko Lehtonen
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. We give a representation of directed graphs by k-posets; this provides a new proof of…