Integral foliated simplicial volume and ergodic decomposition

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.

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Publication Details

Journal
Annales mathématiques Blaise Pascal
Published
2024-10-23
DOI
https://doi.org/10.5802/ambp.425
Primary Topic
Point processes and geometric inequalities
Type
article
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article

Integral foliated simplicial volume and ergodic decomposition

Giovanni Sartori, Clara Löh
Annales mathématiques Blaise Pascal
Point processes and geometric inequalities
article

Integral foliated simplicial volume and ergodic decomposition

Giovanni Sartori, Clara Löh
article en

Abstract

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.

Annales mathématiques Blaise PascalVol. 31(1)
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Openalex Percentile: Top 69%
Point processes and geometric inequalities
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Integral foliated simplicial volume and ergodic decomposition — Giovanni Sartori, Clara Löh · Annales mathématiques Blaise Pascal (2024) | TGRS Research Map | TGRS