Systole growth for finite area hyperbolic surfaces

Florent Balacheff; Eran Makover; Hugo Parlier

doi:10.5802/afst.1402

Systole growth for finite area hyperbolic surfaces

Florent Balacheff, Eran Makover, Hugo Parlier

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Resum

In this note, we observe that the maximum value achieved by the systole function over all complete finite area hyperbolic surfaces of a given signature
is greater than a function that grows logarithmically in terms of the ratio
. g/n

Idioma original	Anglès
Pàgines (de-a)	175-180
Nombre de pàgines	6
Revista	Annales de la Faculté des sciences de Toulouse : Mathématiques
Volum	23
Número	1
DOIs	https://doi.org/10.5802/afst.1402
Estat de la publicació	Publicada - 27 de març 2014

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10.5802/afst.1402

https://ddd.uab.cat/record/287667

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http://dx.doi.org/10.5802/afst.1402

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title = "Systole growth for finite area hyperbolic surfaces",

abstract = "In this note, we observe that the maximum value achieved by the systole function over all complete finite area hyperbolic surfaces of a given signature is greater than a function that grows logarithmically in terms of the ratio . g/n",

author = "Florent Balacheff and Eran Makover and Hugo Parlier",

year = "2014",

month = mar,

day = "27",

doi = "10.5802/afst.1402",

language = "English",

volume = "23",

pages = " 175--180",

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TY - JOUR

T1 - Systole growth for finite area hyperbolic surfaces

AU - Balacheff, Florent

AU - Makover, Eran

AU - Parlier, Hugo

PY - 2014/3/27

Y1 - 2014/3/27

N2 - In this note, we observe that the maximum value achieved by the systole function over all complete finite area hyperbolic surfaces of a given signature is greater than a function that grows logarithmically in terms of the ratio . g/n

AB - In this note, we observe that the maximum value achieved by the systole function over all complete finite area hyperbolic surfaces of a given signature is greater than a function that grows logarithmically in terms of the ratio . g/n

UR - http://dx.doi.org/10.5802/afst.1402

U2 - 10.5802/afst.1402

DO - 10.5802/afst.1402

M3 - Article

SN - 2258-7519

VL - 23

SP - 175

EP - 180

JO - Annales de la Faculté des sciences de Toulouse : Mathématiques

JF - Annales de la Faculté des sciences de Toulouse : Mathématiques

IS - 1

ER -

Systole growth for finite area hyperbolic surfaces

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