Pub Date : 2018-02-21DOI: 10.1007/978-3-030-04161-8_14
Camillo De Lellis, G. Philippis, J. Hirsch, A. Massaccesi
{"title":"Boundary Regularity of Mass-Minimizing Integral Currents and a Question of Almgren","authors":"Camillo De Lellis, G. Philippis, J. Hirsch, A. Massaccesi","doi":"10.1007/978-3-030-04161-8_14","DOIUrl":"https://doi.org/10.1007/978-3-030-04161-8_14","url":null,"abstract":"","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128026304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2018-02-19DOI: 10.1007/978-3-030-04161-8_20
K. Borovkov, Z. Palmowski
{"title":"The Exact Asymptotics for Hitting Probability of a Remote Orthant by a Multivariate Lévy Process: The Cramér Case","authors":"K. Borovkov, Z. Palmowski","doi":"10.1007/978-3-030-04161-8_20","DOIUrl":"https://doi.org/10.1007/978-3-030-04161-8_20","url":null,"abstract":"","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132890733","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-12-19DOI: 10.1007/978-3-030-04161-8_7
S. MacNamara, W. McLean, K. Burrage
{"title":"Wider Contours and Adaptive Contours","authors":"S. MacNamara, W. McLean, K. Burrage","doi":"10.1007/978-3-030-04161-8_7","DOIUrl":"https://doi.org/10.1007/978-3-030-04161-8_7","url":null,"abstract":"","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132243836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-12-01DOI: 10.1007/978-3-030-04161-8_9
N. Ye, Farbod Roosta-Khorasani, T. Cui
{"title":"Optimization Methods for Inverse Problems","authors":"N. Ye, Farbod Roosta-Khorasani, T. Cui","doi":"10.1007/978-3-030-04161-8_9","DOIUrl":"https://doi.org/10.1007/978-3-030-04161-8_9","url":null,"abstract":"","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"16 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132359572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-10-07DOI: 10.1007/978-3-030-04161-8_12
Gyorgy Z. Feher, A. Garbali, J. Gier, K. Schoutens
{"title":"A Curious Mapping Between Supersymmetric Quantum Chains","authors":"Gyorgy Z. Feher, A. Garbali, J. Gier, K. Schoutens","doi":"10.1007/978-3-030-04161-8_12","DOIUrl":"https://doi.org/10.1007/978-3-030-04161-8_12","url":null,"abstract":"","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134475831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2017-09-08DOI: 10.1007/978-3-030-04161-8_6
Otto Lamminpaa, M. Laine, S. Tukiainen, J. Tamminen
{"title":"Likelihood Informed Dimension Reduction for Remote Sensing of Atmospheric Constituent Profiles","authors":"Otto Lamminpaa, M. Laine, S. Tukiainen, J. Tamminen","doi":"10.1007/978-3-030-04161-8_6","DOIUrl":"https://doi.org/10.1007/978-3-030-04161-8_6","url":null,"abstract":"","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130361926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2016-03-18DOI: 10.1007/978-3-030-04161-8_49
Yanhong Li, Z. Palmowski, Chunming Zhao, Chunsheng Zhang
{"title":"Number of Claims and Ruin Time for a Refracted Risk Process","authors":"Yanhong Li, Z. Palmowski, Chunming Zhao, Chunsheng Zhang","doi":"10.1007/978-3-030-04161-8_49","DOIUrl":"https://doi.org/10.1007/978-3-030-04161-8_49","url":null,"abstract":"","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117119641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Let (X=X_0^6(1)/W_6) be the quotient of the Shimura curve (X_0^6(1)) by all the Atkin-Lehner involutions. By realizing modular forms on X in two ways, one in terms of hypergeometric functions and the other in terms of Borcherds forms, and using Schofer’s formula for values of Borcherds forms at CM-points, we obtain special values of certain hypergeometric functions in terms of periods of elliptic curves over (overline Q) with complex multiplication.
{"title":"Special Values of Hypergeometric Functions and Periods of CM Elliptic Curves","authors":"Yifan Yang","doi":"10.1090/TRAN/7134","DOIUrl":"https://doi.org/10.1090/TRAN/7134","url":null,"abstract":"Let (X=X_0^6(1)/W_6) be the quotient of the Shimura curve (X_0^6(1)) by all the Atkin-Lehner involutions. By realizing modular forms on X in two ways, one in terms of hypergeometric functions and the other in terms of Borcherds forms, and using Schofer’s formula for values of Borcherds forms at CM-points, we obtain special values of certain hypergeometric functions in terms of periods of elliptic curves over (overline Q) with complex multiplication.","PeriodicalId":319053,"journal":{"name":"2017 MATRIX Annals","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117330575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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