Concept
Lefschetz fixed-point theorem
Related publications (93)
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In this thesis, we unveil a third design path to manipulate elastic waves within architected media, distinct from the traditional phononic crystal and locally-resonant metamaterial concepts. The core innovation lies in the concept of nonlocal resonances, d ...
EPFL2023Invariant integrals on topological groups
We generalize the fixed-point property for discrete groups acting on convex cones given by Monod in [23] to topological groups. At first, we focus on describing this fixed-point property from a functional point of view, and then we look at the class of gro ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2022The Jordan property for local fundamental groups
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We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index 1 covers for n-dimensional klt singularities. We give an application to the study of lo ...
2022Wind farm layout and unconstrained hub height optimization using genetic algorithms applied to different power densities
Fernando Porté Agel, Nicolas Otto Kirchner Bossi
LES and wind tunnel studies have shown significant benefit when allowing turbines (T) in a wind farm to adopt different heights. This work presents two new genetic algorithms (GA) that perform wind farm layout optimization (WFLO) involving continuous and t ...
2022Functional estimation of anisotropic covariance and autocovariance operators on the sphere
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We propose nonparametric estimators for the second-order central moments of possibly anisotropic spherical random fields, within a functional data analysis context. We consider a measurement framework where each random field among an identically distribute ...
2022Spectral Coarse Spaces for the Substructured Parallel Schwarz Method
The parallel Schwarz method (PSM) is an overlapping domain decomposition (DD) method to solve partial differential equations (PDEs). Similarly to classical nonoverlapping DD methods, the PSM admits a substructured formulation, that is, it can be formulated ...
2022Visual Focus of Attention Estimation in 3D Scene with an Arbitrary Number of Targets
Jean-Marc Odobez, Rémy Alain Siegfried
Visual Focus of Attention (VFOA) estimation in conversation is challenging as it relies on difficult to estimate information (gaze) combined with scene features like target positions and other contextual information (speaking status) allowing to disambigua ...
IEEE COMPUTER SOC2021Global bifurcation at isolated singular points of the Hadamard derivative
Consider F is an element of C(RxX,Y) such that F(lambda, 0) = 0 for all lambda is an element of R, where X and Y are Banach spaces. Bifurcation from the line Rx{0} of trivial solutions is investigated in cases where F(lambda, center dot ) need not be Frech ...
2021