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245 10 a| Twisted Patterson-Sullivan measures and applications to amenability and coveringsh| [electronic resource] /c| Rémi Coulon, Rhiannon Dougall, Barbara Schapira, Samuel Tapie.;

260 a| Providence, RI :b| American Mathematical Society,c| 2025.;

300 a| iv, 93 pages ;c| 26 cm.;

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490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| volume 305, number 1539 (fifth of 7 numbers);

504 a| Includes bibliographical references.;

506 a| Available only to authorized users.;

520 a| "Let be two discrete groups acting properly by isometries on a Gromov hyperbolic space . We prove that their critical exponents coincide if and only if is co-amenable in , under the assumption that the action of on is strongly positively recurrent, i.e. has a growth gap at infinity. This generalizes all previously known results on this question, which required either to be the real hyperbolic space and geometrically finite, or Gromov hyperbolic and cocompact. This result is optimal: we provide several counterexamples when the action is not strongly positively recurrent"-- Provided by publisher.;

538 a| Mode of access: World Wide Web;

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Twisted Patterson-Sullivan measures and applications to amenability and coverings / Rémi Coulon, Rhiannon Dougall, Barbara Schapira, Samuel Tapie.

Author/creator	Coulon, Rémi
Other author	Dougall, Rhiannon
Other author	Schapira, Barbara
Other author	Tapie, Samuel
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, 2025.
Description	iv, 93 pages ; 26 cm.
Supplemental Content	Full text available from eBooks on EBSCOhost
Subjects	Group theory Exponents (Algebra) Algebraic varieties

Series	Memoirs of the American Mathematical Society, 0065-9266 ; volume 305, number 1539 (fifth of 7 numbers)
Abstract	"Let be two discrete groups acting properly by isometries on a Gromov hyperbolic space . We prove that their critical exponents coincide if and only if is co-amenable in , under the assumption that the action of on is strongly positively recurrent, i.e. has a growth gap at infinity. This generalizes all previously known results on this question, which required either to be the real hyperbolic space and geometrically finite, or Gromov hyperbolic and cocompact. This result is optimal: we provide several counterexamples when the action is not strongly positively recurrent"-- Provided by publisher.
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2025010678
ISBN	9781470470548 paperback
ISBN	pdf

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Twisted Patterson-Sullivan measures and applications to amenability and coverings / Rémi Coulon, Rhiannon Dougall, Barbara Schapira, Samuel Tapie.

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