Vote for your favorite mineral in #MinCup25! - Jeremejevite vs. Haüyne
Are you ready for a battle of the blues? In a match of newcomers, volcanic gem hauyne is taking on rare jeremejevite.
Log InRegister
Quick Links : The Mindat ManualThe Rock H. Currier Digital LibraryMindat Newsletter [Free Download]
Home PageAbout MindatThe Mindat ManualHistory of MindatCopyright StatusWho We AreContact UsAdvertise on Mindat
Donate to MindatCorporate SponsorshipSponsor a PageSponsored PagesMindat AdvertisersAdvertise on Mindat
Learning CenterWhat is a mineral?The most common minerals on earthInformation for EducatorsMindat ArticlesThe ElementsThe Rock H. Currier Digital LibraryGeologic Time
Minerals by PropertiesMinerals by ChemistryAdvanced Locality SearchRandom MineralRandom LocalitySearch by minIDLocalities Near MeSearch ArticlesSearch GlossaryMore Search Options
Search For:
Mineral Name:
Locality Name:
Keyword(s):
 
The Mindat ManualAdd a New PhotoRate PhotosLocality Edit ReportCoordinate Completion ReportAdd Glossary Item
Mining CompaniesStatisticsUsersMineral MuseumsClubs & OrganizationsMineral Shows & EventsThe Mindat DirectoryDevice SettingsThe Mineral Quiz
Photo SearchPhoto GalleriesSearch by ColorNew Photos TodayNew Photos YesterdayMembers' Photo GalleriesPast Photo of the Day GalleryPhotography

Chen, Jianyu, Kaloshin, Vadim, Zhang, Hong-Kun (2023) Length Spectrum Rigidity for Piecewise Analytic Bunimovich Billiards. Communications in Mathematical Physics, 404 (1) 1-50 doi:10.1007/s00220-023-04837-z

Advanced
   -   Only viewable:
Reference TypeJournal (article/letter/editorial)
TitleLength Spectrum Rigidity for Piecewise Analytic Bunimovich Billiards
JournalCommunications in Mathematical Physics
AuthorsChen, JianyuAuthor
Kaloshin, VadimAuthor
Zhang, Hong-KunAuthor
Year2023 (November)Volume404
Issue1
PublisherSpringer Science and Business Media LLC
DOIdoi:10.1007/s00220-023-04837-zSearch in ResearchGate
Generate Citation Formats
Mindat Ref. ID16892010Long-form Identifiermindat:1:5:16892010:7
GUID0
Full ReferenceChen, Jianyu, Kaloshin, Vadim, Zhang, Hong-Kun (2023) Length Spectrum Rigidity for Piecewise Analytic Bunimovich Billiards. Communications in Mathematical Physics, 404 (1) 1-50 doi:10.1007/s00220-023-04837-z
Plain TextChen, Jianyu, Kaloshin, Vadim, Zhang, Hong-Kun (2023) Length Spectrum Rigidity for Piecewise Analytic Bunimovich Billiards. Communications in Mathematical Physics, 404 (1) 1-50 doi:10.1007/s00220-023-04837-z
In(2023, November) Communications in Mathematical Physics Vol. 404 (1) Springer Science and Business Media LLC

See Also

These are possibly similar items as determined by title/reference text matching only.

Bálint, Péter, De Simoi, Jacopo, Kaloshin, Vadim, Leguil, Martin (2020) Marked Length Spectrum, Homoclinic Orbits and the Geometry of Open Dispersing Billiards. Communications in Mathematical Physics, 374 (3). 1531-1575 doi:10.1007/s00220-019-03448-x
Bunimovich, Leonid, Zhang, Hong-Kun, Zhang, Pengfei (2016) On Another Edge of Defocusing: Hyperbolicity of Asymmetric Lemon Billiards. Communications in Mathematical Physics, 341 (3). 781-803 doi:10.1007/s00220-015-2539-x
Bunimovich, Leonid A., Magno, Gianluigi Del (2006) Semi-Focusing Billiards: Hyperbolicity. Communications in Mathematical Physics, 262 (1). 17-32 doi:10.1007/s00220-005-1473-8
Zhong, Binggui (2010) Diffusion Speed in Piecewise Smooth Billiards. Communications in Mathematical Physics, 299 (2). 503-521 doi:10.1007/s00220-010-1090-z
Demers, Mark F., Liverani, Carlangelo (2023) Projective Cones for Sequential Dispersing Billiards. Communications in Mathematical Physics, 401 (1) 841-923 doi:10.1007/s00220-023-04657-1
Feres, Renato, Zhang, Hong-Kun (2012) Spectral Gap for a Class of Random Billiards. Communications in Mathematical Physics, 313 (2). 479-515 doi:10.1007/s00220-012-1469-0
Bunimovich, Leonid A., Su, Yaofeng (2024) Back to Boundaries in Billiards. Communications in Mathematical Physics, 405 (6). doi:10.1007/s00220-024-05002-w
Bunimovich, Leonid A., Magno, Gianluigi Del (2009) Track Billiards. Communications in Mathematical Physics, 288 (2). 699-713 doi:10.1007/s00220-009-0741-4
Bunimovich, Leonid A., Grigo, Alexander (2010) Focusing Components in Typical Chaotic Billiards Should be Absolutely Focusing. Communications in Mathematical Physics, 293 (1). 127-143 doi:10.1007/s00220-009-0927-9
Demers, Mark F., Pène, Françoise, Zhang, Hong-Kun (2020) Local Limit Theorem for Randomly Deforming Billiards. Communications in Mathematical Physics, 375 (3) 2281-2334 doi:10.1007/s00220-019-03670-7
Bäumler, Johannes (2023) Distances in $$\frac{1}{\Vert x-y\Vert ^{2d}}$$ Percolation Models for all Dimensions. Communications in Mathematical Physics, 404 (3) 1495-1570 doi:10.1007/s00220-023-04861-z
 
and/or  
Mindat.org is an outreach project of the Hudson Institute of Mineralogy, a 501(c)(3) not-for-profit organization.
Copyright © mindat.org and the Hudson Institute of Mineralogy 1993-2025, except where stated. Most political location boundaries are © OpenStreetMap contributors. Mindat.org relies on the contributions of thousands of members and supporters. Founded in 2000 by Jolyon Ralph.
To cite: Ralph, J., Von Bargen, D., Martynov, P., Zhang, J., Que, X., Prabhu, A., Morrison, S. M., Li, W., Chen, W., & Ma, X. (2025). Mindat.org: The open access mineralogy database to accelerate data-intensive geoscience research. American Mineralogist, 110(6), 833–844. doi:10.2138/am-2024-9486.
Privacy Policy - Terms & Conditions - Contact Us / DMCA issues - Report a bug/vulnerability Current server date and time: September 3, 2025 09:20:52
Go to top of page