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GEASI : Geodesic-based earliest activation sites identification in cardiac models

Grandits, Thomas ; Effland, Alexander ; Pock, Thomas ; Krause, Rolf ; Plank, Gernot ; Pezzuto, Simone

In: International journal for numerical methods in biomedical engineering, 2021, vol. 37, no. 8, p. 30

The identification of the initial ventricular activation sequence is a critical step for the correct personalization of patient- specific cardiac models. In healthy conditions, the Purkinje network is the main source of the electrical activation, but under pathological conditions the so-called earliest activation sites (EASs) are possibly sparser and more localized. Yet, their number, location...

Consortium of Swiss Academic Libraries

Geodesic rigidity of conformal connections on surfaces

Mettler, Thomas

In: Mathematische Zeitschrift, 2015, vol. 281, no. 1-2, p. 379-393

Consortium of Swiss Academic Libraries

The maximum injectivity radius of hyperbolic orbifolds

Fanoni, Federica

In: Geometriae Dedicata, 2015, vol. 175, no. 1, p. 281-307

Consortium of Swiss Academic Libraries

Shortest closed billiard orbits on convex tables

Alkoumi, Naeem ; Schlenk, Felix

In: Manuscripta Mathematica, 2015, vol. 147, no. 3-4, p. 365-380

Consortium of Swiss Academic Libraries

On the Homology Length Spectrum of Surfaces

Massart, Daniel ; Parlier, Hugo

In: International Mathematics Research Notices, 2017, vol. 2017, no. 8, p. 2367-2401

Consortium of Swiss Academic Libraries

Convex geodesic bicombings and hyperbolicity

Descombes, Dominic ; Lang, Urs

In: Geometriae Dedicata, 2015, vol. 177, no. 1, p. 367-384

Université de Fribourg

Spaces with almost Euclidean Dehn function

Wenger, Stefan

In: Mathematische Annalen, 2019, vol. 373, no. 3, p. 1177–1210

We prove that any proper, geodesic metric space whose Dehn function grows asymptotically like the Euclidean one has asymptotic cones which are non-positively curved in the sense of Alexandrov, thus are CAT(0) . This is new already in the setting of Riemannian manifolds and establishes in particular the borderline case of a result about the sharp isoperimetric constant which implies Gromov...

Université de Fribourg

On right-angled polygons in hyperbolic space

Dotti, Edoardo ; Drewitz, Simon T.

In: Geometriae Dedicata, 2019, vol. 200, no. 1, p. 45–59

We study oriented right-angled polygons in hyperbolic spaces of arbitrary dimensions, that is, finite sequences (S0,S1,…,Sp−1) of oriented geodesics in the hyperbolic space HHn+2 such that consecutive sides are orthogonal. It was previously shown by Delgove and Retailleau (Ann Fac Sci Toulouse Math 23(5):1049–1061, 2014. https://doi.org/10.5802/afst.1435) that three quaternionic...

Consortium of Swiss Academic Libraries

Erratum to: Volume of a doubly truncated hyperbolic tetrahedron

Kolpakov, Alexander ; Murakami, Jun

In: Aequationes mathematicae, 2014, vol. 88, no. 1-2, p. 199-200

Consortium of Swiss Academic Libraries

Upper bounds for the perimeter of plane convex bodies

Glazyrin, Alexey ; Morić, Filip

In: Acta Mathematica Hungarica, 2014, vol. 142, no. 2, p. 366-383