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Stationary $C^*$-dynamical systems (with an appendix by Uri Bader, Yair Hartman, and Mehrdad Kalantar) 静止的C^* -动力系统(附Uri Bader, Yair Hartman和Mehrdad Kalantar的附录)
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-04-13 DOI: 10.4171/jems/1225
Yair Hartman, Mehrdad Kalantar
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引用次数: 0
The Riemannian quantitative isoperimetric inequality 黎曼定量等周不等式
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-04-13 DOI: 10.4171/jems/1223
Otis Chodosh,Max Engelstein,Luca Spolaor
{"title":"The Riemannian quantitative isoperimetric inequality","authors":"Otis Chodosh,Max Engelstein,Luca Spolaor","doi":"10.4171/jems/1223","DOIUrl":"https://doi.org/10.4171/jems/1223","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503877","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
Integral $p$-adic Hodge filtrations in low dimension and ramification 低维积分$p$进阶Hodge滤波及其分支
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-04-06 DOI: 10.4171/jems/1237
Shizhang Li
{"title":"Integral $p$-adic Hodge filtrations in low dimension and ramification","authors":"Shizhang Li","doi":"10.4171/jems/1237","DOIUrl":"https://doi.org/10.4171/jems/1237","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503876","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
Instabilities of invariant quasi-periodic tori 不变拟周期环面的不稳定性
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-02-28 DOI: 10.4171/jems/1206
Gerard Farré,Bassam Fayad
{"title":"Instabilities of invariant quasi-periodic tori","authors":"Gerard Farré,Bassam Fayad","doi":"10.4171/jems/1206","DOIUrl":"https://doi.org/10.4171/jems/1206","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503875","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: 1
Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction? 勒雷的结构定理经得起浮力驱动的趋化-流体相互作用吗?
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-02-22 DOI: 10.4171/jems/1226
M. Winkler
{"title":"Does Leray’s structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?","authors":"M. Winkler","doi":"10.4171/jems/1226","DOIUrl":"https://doi.org/10.4171/jems/1226","url":null,"abstract":"In a smoothly bounded convex domain Ω ⊂ R, we consider the chemotaxis-Navier-Stokes model    nt + u · ∇n = ∆n−∇ · (n∇c), x ∈ Ω, t > 0, ct + u · ∇c = ∆c− nc, x ∈ Ω, t > 0, ut + (u · ∇)u = ∆u+∇P + n∇Φ, ∇ · u = 0, x ∈ Ω, t > 0, (⋆) proposed by Goldstein et al. to describe pattern formation in populations of aerobic bacteria interacting with their liquid environment via transport and buoyancy. Known results have asserted that under appropriate regularity assumptions on Φ and the initial data, a corresponding no-flux/noflux/Dirichlet initial-boundary value problem is globally solvable in a framework of so-called weak energy solutions, and that any such solution eventually becomes smooth and classical. Going beyond this, the present work focuses on the possible extent of unboundedness phenomena also on short timescales, and hence investigates in more detail the set of times in (0,∞) at which solutions may develop singularities. The main results in this direction reveal the existence of a global weak energy solution which coincides with a smooth function throughout Ω × E, where E denotes a countable union of open intervals which is such that |(0,∞) E| = 0. In particular, this indicates that a similar feature of the unperturbed Navier-Stokes equations, known as Leray’s structure theorem, persists even in the presence of the coupling to the attractive and hence potentially destabilizing cross-diffusive mechanism in the full system (⋆).","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84934888","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: 15
On the largest prime factor of $n^2+1$ n^2+1的最大质因数
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-02-04 DOI: 10.4171/jems/1216
Jori Merikoski
{"title":"On the largest prime factor of $n^2+1$","authors":"Jori Merikoski","doi":"10.4171/jems/1216","DOIUrl":"https://doi.org/10.4171/jems/1216","url":null,"abstract":"We show that the largest prime factor of $n^2+1$ is infinitely often greater than $n^{1.279}$. This improves the result of de la Bret`eche and Drappeau (2019) who obtained this with $1.2182$ in place of $1.279.$ The main new ingredients in the proof are a new Type II estimate and using this estimate by applying Harman's sieve method. To prove the Type II estimate we use the bounds of Dehouillers and Iwaniec on linear forms of Kloosterman sums. We also show that conditionally on Selberg's eigenvalue conjecture the exponent $1.279$ may be increased to $1.312.$","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503874","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
An ultimate proof of Hoffmann–Totaro’s conjecture Hoffmann-Totaro猜想的终极证明
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-01-28 DOI: 10.4171/jems/1211
N. Karpenko
{"title":"An ultimate proof of Hoffmann–Totaro’s conjecture","authors":"N. Karpenko","doi":"10.4171/jems/1211","DOIUrl":"https://doi.org/10.4171/jems/1211","url":null,"abstract":"We prove the last open case of the conjecture on the possible values of the first isotropy index of an anisotropic quadratic form over a field. It was initially stated by Detlev Hoffmann for fields of characteristic ̸= 2 and then extended to arbitrary characteristic by Burt Totaro. The initial statement was proven by the author in 2002. In characteristic 2, the case of a totally singular quadratic form was done by Stephen Scully in 2015 and the nonsingular case by Eric Primozic in early 2019.","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74741293","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
Erratum to “Uniform K-stability and asymptotics of energy functionals in Kähler geometry” “Kähler几何中能量泛函的一致k -稳定性和渐近性”的勘误
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2022-01-13 DOI: 10.4171/jems/1215
S. Boucksom, Tomoyuki Hisamoto, Mattias Jonsson
{"title":"Erratum to “Uniform K-stability and asymptotics of energy functionals in Kähler geometry”","authors":"S. Boucksom, Tomoyuki Hisamoto, Mattias Jonsson","doi":"10.4171/jems/1215","DOIUrl":"https://doi.org/10.4171/jems/1215","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2022-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81451536","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
Local convergence of random planar graphs 随机平面图的局部收敛性
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2021-11-17 DOI: 10.4171/jems/1174
Benedikt Stufler
{"title":"Local convergence of random planar graphs","authors":"Benedikt Stufler","doi":"10.4171/jems/1174","DOIUrl":"https://doi.org/10.4171/jems/1174","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2021-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503873","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
Irreducible modules for pseudo-reductive groups 伪约化群的不可约模
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2021-11-09 DOI: 10.4171/jems/1153
Michael Bate, David I. Stewart
{"title":"Irreducible modules for pseudo-reductive groups","authors":"Michael Bate, David I. Stewart","doi":"10.4171/jems/1153","DOIUrl":"https://doi.org/10.4171/jems/1153","url":null,"abstract":"We classify the irreducible representations of smooth, connected affine algebraic groups over a field, by tackling the case of pseudo-reductive groups. We reduce the problem of calculating the dimension for pseudo-split pseudo-reductive groups to the split reductive case and the pseudo-split pseudo-reductive commutative case. Moreover, we give the first results on the latter, including a rather complete description of the rank one case.","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":null,"pages":null},"PeriodicalIF":2.6,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503872","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
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