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Monotonicity and phase transition for the VRJP and the ERRW VRJP和ERRW的单调性和相变
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-12-22 DOI: 10.4171/jems/1298
Rémy Poudevigne-Auboiron
{"title":"Monotonicity and phase transition for the VRJP and the ERRW","authors":"Rémy Poudevigne-Auboiron","doi":"10.4171/jems/1298","DOIUrl":"https://doi.org/10.4171/jems/1298","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"58 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72550769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Subconvexity for $L$-functions on $operatorname{GL}_3$ over number fields $L$-函数在$operatorname{GL}_3$上的子凸性
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-12-22 DOI: 10.4171/jems/1306
Zhi Qi
{"title":"Subconvexity for $L$-functions on $operatorname{GL}_3$ over number fields","authors":"Zhi Qi","doi":"10.4171/jems/1306","DOIUrl":"https://doi.org/10.4171/jems/1306","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"107 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-12-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76831962","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Between reduced powers and ultrapowers 在低功率和超功率之间
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-11-17 DOI: 10.4171/jems/1279
I. Farah
{"title":"Between reduced powers and ultrapowers","authors":"I. Farah","doi":"10.4171/jems/1279","DOIUrl":"https://doi.org/10.4171/jems/1279","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"7 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78462819","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A simple $P_{aleph_1}$-point and a simple $P_{aleph_2}$-point 一个简单的$P_{aleph_1}$-point和一个简单的$P_{aleph_2}$-point
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-11-11 DOI: 10.4171/jems/1299
Christian Bräuninger, H. Mildenberger
{"title":"A simple $P_{aleph_1}$-point and a simple $P_{aleph_2}$-point","authors":"Christian Bräuninger, H. Mildenberger","doi":"10.4171/jems/1299","DOIUrl":"https://doi.org/10.4171/jems/1299","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"110 2 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83889129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of a periodic-parabolic Lotka–Volterra competition-diffusion system in heterogeneous environments 异质环境中周期性抛物型Lotka-Volterra竞争-扩散系统动力学
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-11-11 DOI: 10.4171/jems/1296
Xueli Bai, Xiaoqing He, W. Ni
{"title":"Dynamics of a periodic-parabolic Lotka–Volterra competition-diffusion system in heterogeneous environments","authors":"Xueli Bai, Xiaoqing He, W. Ni","doi":"10.4171/jems/1296","DOIUrl":"https://doi.org/10.4171/jems/1296","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"23 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87627453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Disproving Hooley’s conjecture 反驳胡利的猜想
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-11-03 DOI: 10.4171/jems/1291
D. Fiorilli, G. Martin
{"title":"Disproving Hooley’s conjecture","authors":"D. Fiorilli, G. Martin","doi":"10.4171/jems/1291","DOIUrl":"https://doi.org/10.4171/jems/1291","url":null,"abstract":". Define G ( x ; q ) to be the variance of primes p ≤ x in the arithmetic progressions modulo q , weighted by log p . In analogy with his q -analogue of Selberg’s upper bound on the variance of primes in intervals, Hooley conjectured that as soon as q tends to infinity and x ≥ q , we have the upper bound G ( x ; q ) (cid:28) x log q . This conjecture was proven true over function fields by Keating and Rudnick, using equidistribution results of Katz. In this paper we show that the upper bound does not hold in general, and that G ( x ; q ) can be much larger than x log q for values of q which are (cid:16) log log x . This implies that a conjecture of the first author on the range of validity of Hooley’s conjecture is essentially best possible.","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"49 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84086039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Erdős–Szekeres theorem for multidimensional arrays Erdős-Szekeres多维数组定理
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-08-31 DOI: 10.4171/jems/1262
Matija Bucić, B. Sudakov, T. Tran
{"title":"Erdős–Szekeres theorem for multidimensional arrays","authors":"Matija Bucić, B. Sudakov, T. Tran","doi":"10.4171/jems/1262","DOIUrl":"https://doi.org/10.4171/jems/1262","url":null,"abstract":"The classical Erdős-Szekeres theorem dating back almost a hundred years states that any sequence of (n − 1) + 1 distinct real numbers contains a monotone subsequence of length n. This theorem has been generalised to higher dimensions in a variety of ways but perhaps the most natural one was proposed by Fishburn and Graham more than 25 years ago. They defined the concept of a monotone and a lex-monotone array and asked how large an array one needs in order to be able to find a monotone or a lex-monotone subarray of size n× . . .×n. Fishburn and Graham obtained Ackerman-type bounds in both cases. We significantly improve these results. Regardless of the dimension we obtain at most a triple exponential bound in n in the monotone case and a quadruple exponential one in the lex-monotone case.","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"311 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88030072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) 广义加倍法的多重性定理(附Avraham Aizenbud和Dmitry Gourevitch的附录)
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-07-28 DOI: 10.4171/jems/1207
D. Gourevitch, Eyal Kaplan
{"title":"Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch)","authors":"D. Gourevitch, Eyal Kaplan","doi":"10.4171/jems/1207","DOIUrl":"https://doi.org/10.4171/jems/1207","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"23 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74020506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On singularity formation for the two-dimensional unsteady Prandtl system around the axis 绕轴二维非定常普朗特系统奇点的形成
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-07-12 DOI: 10.4171/jems/1240
Charles Collot, T. Ghoul, S. Ibrahim, N. Masmoudi
{"title":"On singularity formation for the two-dimensional unsteady Prandtl system around the axis","authors":"Charles Collot, T. Ghoul, S. Ibrahim, N. Masmoudi","doi":"10.4171/jems/1240","DOIUrl":"https://doi.org/10.4171/jems/1240","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"2008 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78660894","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The classification of dp-minimal and dp-small fields dp极小域和dp小域的分类
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-07-08 DOI: 10.4171/jems/1187
Will Johnson
{"title":"The classification of dp-minimal and dp-small fields","authors":"Will Johnson","doi":"10.4171/jems/1187","DOIUrl":"https://doi.org/10.4171/jems/1187","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"1 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2022-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86471604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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