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- Interdisciplinary Centre for Security, Reliability and TrustLU193 papers
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20 papers · 1 filter
Fixed points of compositions of earthquakes
Francesco Bonsante, Jean-Marc Schlenker
Let S be a closed surface of genus at least 2, and consider two measured geodesic laminations that fill S. Right earthquakes along these laminations are diffeomorphisms of the Teic…
Existence of natural and conformally invariant quantizations of arbitrary symbols
Pierre Mathonet, Fabian Radoux
A quantization over a manifold can be seen as a way to construct a differential operator with prescribed principal symbol. The quantization map is moreover required to be a linear…
On the moments and distribution of discrete Choquet integrals from continuous distributions
Ivan Kojadinovic, Jean-Luc Marichal
We study the moments and the distribution of the discrete Choquet integral when regarded as a real function of a random sample drawn from a continuous distribution. Since the discr…
Axiomatizations of quasi-polynomial functions on bounded chains
Miguel Couceiro, Jean-Luc Marichal
Two emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defi…
Representations and characterizations of polynomial functions on chains
Miguel Couceiro, Jean-Luc Marichal
We are interested in representations and characterizations of lattice polynomial functions f:L^n -> L, where L is a given bounded distributive lattice. In companion papers [arXiv 0…
Central limit theorems for double Poisson integrals
Giovanni Peccati, Murad S. Taqqu
Motivated by second order asymptotic results, we characterize the convergence in law of double integrals, with respect to Poisson random measures, toward a standard Gaussian distri…