no. 1
Integral foliated simplicial volume and ergodic decomposition
[Volume simplicial feuilleté intégral et décomposition ergodique]
Löh, Clara1 ; Sartori, Giovanni2
1Fakultät für Mathematik Universität Regensburg 93040 Regensburg
2Maxwell Institute and Department of Mathematics Heriot-Watt University Edinburgh EH14 4AS
Annales mathématiques Blaise Pascal, Tome 31 (2024) no. 1, pp. 47-64

We establish an integration formula for integral foliated simplicial volume along ergodic decompositions. This is analogous to the ergodic decomposition formula for the cost of groups.

Nous établissons une formule d’intégration pour le volume simplicial feuilleté intégral sur des décompositions ergodiques. Celle-ci est analogue à la formule de décomposition ergodique pour le coût des groupes.

Publié le :
DOI : 10.5802/ambp.425
Classification : 55N10, 55N35, 28D15
Keywords: Integral foliated simplicial volume, ergodic decomposition
Mots-clés : Volume simplicial feuilleté intégral, décomposiiton ergodique

Löh, Clara  1   ; Sartori, Giovanni  2

1 Fakultät für Mathematik Universität Regensburg 93040 Regensburg
2 Maxwell Institute and Department of Mathematics Heriot-Watt University Edinburgh EH14 4AS
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Integral foliated simplicial volume and ergodic decomposition},
     journal = {Annales math\'ematiques Blaise Pascal},
     pages = {47--64},
     year = {2024},
     publisher = {Universit\'e Clermont Auvergne, Laboratoire de math\'ematiques Blaise Pascal},
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Löh, Clara; Sartori, Giovanni. Integral foliated simplicial volume and ergodic decomposition. Annales mathématiques Blaise Pascal, Tome 31 (2024) no. 1, pp. 47-64. doi: 10.5802/ambp.425

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