Pub Date : 2020-09-04DOI: 10.1007/s40574-020-00255-4
Qi Han, Qiongyan Wang
{"title":"Value distributions of $$zeta $$ and $$Gamma $$, plus some related problems","authors":"Qi Han, Qiongyan Wang","doi":"10.1007/s40574-020-00255-4","DOIUrl":"https://doi.org/10.1007/s40574-020-00255-4","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"21 1","pages":"1-12"},"PeriodicalIF":0.7,"publicationDate":"2020-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88625048","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 : 2020-06-19DOI: 10.1007/s40574-020-00237-6
Anna Avallone, G. Barbieri, P. Vitolo, H. Weber
{"title":"Modular $$hbox {d}_{0}$$-algebras","authors":"Anna Avallone, G. Barbieri, P. Vitolo, H. Weber","doi":"10.1007/s40574-020-00237-6","DOIUrl":"https://doi.org/10.1007/s40574-020-00237-6","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"16 1","pages":"529-538"},"PeriodicalIF":0.7,"publicationDate":"2020-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74255863","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 : 2012-05-15DOI: 10.1007/978-88-470-2592-9_8
L. Ambrosio, N. Gigli, Giuseppe Savaré
{"title":"Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below—The Compact Case","authors":"L. Ambrosio, N. Gigli, Giuseppe Savaré","doi":"10.1007/978-88-470-2592-9_8","DOIUrl":"https://doi.org/10.1007/978-88-470-2592-9_8","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"1 1","pages":"63-115"},"PeriodicalIF":0.7,"publicationDate":"2012-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90763876","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 : 2011-01-01DOI: 10.1007/978-1-4419-9554-4_7
L. Ambrosio
{"title":"The Flow Associated to Weakly Differentiable Vector Fields: Recent Results and Open Problems","authors":"L. Ambrosio","doi":"10.1007/978-1-4419-9554-4_7","DOIUrl":"https://doi.org/10.1007/978-1-4419-9554-4_7","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"55 62 1","pages":"25-42"},"PeriodicalIF":0.7,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80735372","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 : 2008-01-01DOI: 10.3929/ETHZ-A-005688614
T. M. Kessel
Abstract: We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of – a priori not well-defined – singular bundles including possibly “almost everywhere singular bundles”. In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L-curvatures.
{"title":"Singular bundles with bounded L²-curvatures","authors":"T. M. Kessel","doi":"10.3929/ETHZ-A-005688614","DOIUrl":"https://doi.org/10.3929/ETHZ-A-005688614","url":null,"abstract":"Abstract: We consider calculus of variations of the Yang-Mills functional in dimensions larger than the critical dimension 4. We explain how this naturally leads to a class of – a priori not well-defined – singular bundles including possibly “almost everywhere singular bundles”. In order to overcome this difficulty, we suggest a suitable new framework, namely the notion of singular bundles with bounded L-curvatures.","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"38 1","pages":"881-901"},"PeriodicalIF":0.7,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86505447","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 : 2007-01-01DOI: 10.1007/978-88-470-0640-9_17
Gianni Dal Maso
{"title":"Ennio De Giorgi","authors":"Gianni Dal Maso","doi":"10.1007/978-88-470-0640-9_17","DOIUrl":"https://doi.org/10.1007/978-88-470-0640-9_17","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"25 1","pages":"205-216"},"PeriodicalIF":0.7,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85991447","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}
In many problems coming from mathematical physics, the association of a degenerate diffusion operator with a conservative operator may lead to dissipation in all variables and convergence to equilibrium. One can draw an analogy with the well-studied phenomenon of hypoellipticity in regularity theory, and actually both phenomena have been studied together. Now a distinctive theory of “hypocoercivity” is starting to emerge, with already some striking results, and several challenging open problems. Mathematics Subject Classification (2000). Primary 35B40; Secondary 35K70, 76P05.
{"title":"Hypocoercive Diffusion Operators","authors":"C. Villani","doi":"10.4171/022-3/25","DOIUrl":"https://doi.org/10.4171/022-3/25","url":null,"abstract":"In many problems coming from mathematical physics, the association of a degenerate diffusion operator with a conservative operator may lead to dissipation in all variables and convergence to equilibrium. One can draw an analogy with the well-studied phenomenon of hypoellipticity in regularity theory, and actually both phenomena have been studied together. Now a distinctive theory of “hypocoercivity” is starting to emerge, with already some striking results, and several challenging open problems. Mathematics Subject Classification (2000). Primary 35B40; Secondary 35K70, 76P05.","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"8 1","pages":"257-276"},"PeriodicalIF":0.7,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82319805","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 : 2005-01-01DOI: 10.1007/88-470-0347-4_13
Marco Li Calzi
{"title":"Un eponimo ricorrente: Nash e la teoria dei giochi","authors":"Marco Li Calzi","doi":"10.1007/88-470-0347-4_13","DOIUrl":"https://doi.org/10.1007/88-470-0347-4_13","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"74 1","pages":"189-206"},"PeriodicalIF":0.7,"publicationDate":"2005-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90814201","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 : 1991-01-01DOI: 10.1142/9789814439381_0003
O. Kowalski, L. Vanhecke
{"title":"Riemannian-manifolds with homogeneous geodesics","authors":"O. Kowalski, L. Vanhecke","doi":"10.1142/9789814439381_0003","DOIUrl":"https://doi.org/10.1142/9789814439381_0003","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"46 1","pages":"189-246"},"PeriodicalIF":0.7,"publicationDate":"1991-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77258689","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}
{"title":"Arithmetical functions of a greatest common divisor. II. An alternative approach.","authors":"E. Cohen","doi":"10.2307/2032948","DOIUrl":"https://doi.org/10.2307/2032948","url":null,"abstract":"","PeriodicalId":54191,"journal":{"name":"BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA","volume":"72 1","pages":"349-356"},"PeriodicalIF":0.7,"publicationDate":"1962-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88683731","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}