Asymptotic Properties of Hilbert Geometry
It is shown that the spheres in Hilbert geometry have the same volume growth entropy as those in the Lobachevsky space. Asymptotic estimates for the ratio of the volume of metric ball to the area of the metric sphere in Hilbert geometry are given. Derived estimates agree with the well-known fact in...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Datum: | 2008 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106510 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Asymptotic Properties of Hilbert Geometry / A.A. Borisenko, E.A. Olin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 327-345. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862600963818258432 |
|---|---|
| author | Borisenko, A.A. Olin, E.A. |
| author_facet | Borisenko, A.A. Olin, E.A. |
| citation_txt | Asymptotic Properties of Hilbert Geometry / A.A. Borisenko, E.A. Olin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 327-345. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | It is shown that the spheres in Hilbert geometry have the same volume growth entropy as those in the Lobachevsky space. Asymptotic estimates for the ratio of the volume of metric ball to the area of the metric sphere in Hilbert geometry are given. Derived estimates agree with the well-known fact in the Lobachevsky space.
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| first_indexed | 2025-11-28T01:07:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106510 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-28T01:07:42Z |
| publishDate | 2008 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Borisenko, A.A. Olin, E.A. 2016-09-29T19:02:52Z 2016-09-29T19:02:52Z 2008 Asymptotic Properties of Hilbert Geometry / A.A. Borisenko, E.A. Olin // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 3. — С. 327-345. — Бібліогр.: 16 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106510 It is shown that the spheres in Hilbert geometry have the same volume growth entropy as those in the Lobachevsky space. Asymptotic estimates for the ratio of the volume of metric ball to the area of the metric sphere in Hilbert geometry are given. Derived estimates agree with the well-known fact in the Lobachevsky space. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Asymptotic Properties of Hilbert Geometry Article published earlier |
| spellingShingle | Asymptotic Properties of Hilbert Geometry Borisenko, A.A. Olin, E.A. |
| title | Asymptotic Properties of Hilbert Geometry |
| title_full | Asymptotic Properties of Hilbert Geometry |
| title_fullStr | Asymptotic Properties of Hilbert Geometry |
| title_full_unstemmed | Asymptotic Properties of Hilbert Geometry |
| title_short | Asymptotic Properties of Hilbert Geometry |
| title_sort | asymptotic properties of hilbert geometry |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106510 |
| work_keys_str_mv | AT borisenkoaa asymptoticpropertiesofhilbertgeometry AT olinea asymptoticpropertiesofhilbertgeometry |