---
_id: '12177'
abstract:
- lang: eng
  text: Using elementary hyperbolic geometry, we give an explicit formula for the
    contraction constant of the skinning map over moduli spaces of relatively acylindrical
    hyperbolic manifolds.
acknowledgement: "The first author was partially supported by the National Science
  Foundation under Grant\r\nNo. DMS-1928930 while participating in a program hosted
  by the Mathematical Sciences Research Institute in Berkeley, California, during
  the Fall 2020 semester. The second author gratefully acknowledges funding by the
  Austrian Science Fund (FWF) through grants F65 and ESPRIT 208, by the European Research
  Council (ERC, grant No. 716117, awarded to Prof. Dr. Jan Maas), and by the Deutsche
  Forschungsgemeinschaft through the SPP 2265."
article_processing_charge: No
article_type: original
author:
- first_name: Tommaso
  full_name: Cremaschi, Tommaso
  last_name: Cremaschi
- first_name: Lorenzo
  full_name: Dello Schiavo, Lorenzo
  id: ECEBF480-9E4F-11EA-B557-B0823DDC885E
  last_name: Dello Schiavo
  orcid: 0000-0002-9881-6870
citation:
  ama: Cremaschi T, Dello Schiavo L. Effective contraction of Skinning maps. <i>Proceedings
    of the American Mathematical Society, Series B</i>. 2022;9(43):445-459. doi:<a
    href="https://doi.org/10.1090/bproc/134">10.1090/bproc/134</a>
  apa: Cremaschi, T., &#38; Dello Schiavo, L. (2022). Effective contraction of Skinning
    maps. <i>Proceedings of the American Mathematical Society, Series B</i>. American
    Mathematical Society. <a href="https://doi.org/10.1090/bproc/134">https://doi.org/10.1090/bproc/134</a>
  chicago: Cremaschi, Tommaso, and Lorenzo Dello Schiavo. “Effective Contraction of
    Skinning Maps.” <i>Proceedings of the American Mathematical Society, Series B</i>.
    American Mathematical Society, 2022. <a href="https://doi.org/10.1090/bproc/134">https://doi.org/10.1090/bproc/134</a>.
  ieee: T. Cremaschi and L. Dello Schiavo, “Effective contraction of Skinning maps,”
    <i>Proceedings of the American Mathematical Society, Series B</i>, vol. 9, no.
    43. American Mathematical Society, pp. 445–459, 2022.
  ista: Cremaschi T, Dello Schiavo L. 2022. Effective contraction of Skinning maps.
    Proceedings of the American Mathematical Society, Series B. 9(43), 445–459.
  mla: Cremaschi, Tommaso, and Lorenzo Dello Schiavo. “Effective Contraction of Skinning
    Maps.” <i>Proceedings of the American Mathematical Society, Series B</i>, vol.
    9, no. 43, American Mathematical Society, 2022, pp. 445–59, doi:<a href="https://doi.org/10.1090/bproc/134">10.1090/bproc/134</a>.
  short: T. Cremaschi, L. Dello Schiavo, Proceedings of the American Mathematical
    Society, Series B 9 (2022) 445–459.
date_created: 2023-01-12T12:12:17Z
date_published: 2022-11-02T00:00:00Z
date_updated: 2023-01-26T13:04:13Z
day: '02'
ddc:
- '510'
department:
- _id: JaMa
doi: 10.1090/bproc/134
ec_funded: 1
file:
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  date_created: 2023-01-26T13:02:07Z
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file_date_updated: 2023-01-26T13:02:07Z
has_accepted_license: '1'
intvolume: '         9'
issue: '43'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '11'
oa: 1
oa_version: Published Version
page: 445-459
project:
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
  grant_number: F6504
  name: Taming Complexity in Partial Differential Systems
- _id: 256E75B8-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '716117'
  name: Optimal Transport and Stochastic Dynamics
publication: Proceedings of the American Mathematical Society, Series B
publication_identifier:
  issn:
  - 2330-1511
publication_status: published
publisher: American Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Effective contraction of Skinning maps
tmp:
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  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 9
year: '2022'
...