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The holonomy inverse problem 整体逆问题
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2023-12-28 DOI: 10.4171/jems/1409
Mihajlo Cekić, Thibault Lefeuvre
{"title":"The holonomy inverse problem","authors":"Mihajlo Cekić, Thibault Lefeuvre","doi":"10.4171/jems/1409","DOIUrl":"https://doi.org/10.4171/jems/1409","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"7 9","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139148722","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
Clique factors in pseudorandom graphs 伪随机图中的簇因子
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2023-12-16 DOI: 10.4171/jems/1388
Patrick Morris
{"title":"Clique factors in pseudorandom graphs","authors":"Patrick Morris","doi":"10.4171/jems/1388","DOIUrl":"https://doi.org/10.4171/jems/1388","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"5 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138967256","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
A Torelli-like theorem for higher-dimensional function fields 高维函数场的 Torelli-like 定理
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2023-12-16 DOI: 10.4171/jems/1382
Adam Topaz
{"title":"A Torelli-like theorem for higher-dimensional function fields","authors":"Adam Topaz","doi":"10.4171/jems/1382","DOIUrl":"https://doi.org/10.4171/jems/1382","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"53 36","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138995433","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 bounds for $textrm{GL(3)}times textrm{GL(2)}$ $L$-functions in $textrm{GL(2)}$ spectral aspect $textrm{GL(3)}$在$textrm{GL(2)}$光谱方面的$textrm{GL(2)}$ $L$函数的次凸性边界
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2023-12-16 DOI: 10.4171/jems/1383
Sumit Kumar
{"title":"Subconvexity bounds for $textrm{GL(3)}times textrm{GL(2)}$ $L$-functions in $textrm{GL(2)}$ spectral aspect","authors":"Sumit Kumar","doi":"10.4171/jems/1383","DOIUrl":"https://doi.org/10.4171/jems/1383","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"146 1‐4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138966927","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
Geometric $L$-packets of Howe-unramified toral supercuspidal representations Howe-unramified toral supercuspidal 表示的几何 $L$-packets
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2023-12-16 DOI: 10.4171/jems/1396
Charlotte Chan, Masao Oi
{"title":"Geometric $L$-packets of Howe-unramified toral supercuspidal representations","authors":"Charlotte Chan, Masao Oi","doi":"10.4171/jems/1396","DOIUrl":"https://doi.org/10.4171/jems/1396","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"46 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138966805","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
Rate of propagation for the Fisher-KPP equation with nonlocal diffusion and free boundaries 具有非局部扩散和自由边界的 Fisher-KPP 方程的传播速率
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2023-12-16 DOI: 10.4171/jems/1392
Yihong Du, W. Ni
{"title":"Rate of propagation for the Fisher-KPP equation with nonlocal diffusion and free boundaries","authors":"Yihong Du, W. Ni","doi":"10.4171/jems/1392","DOIUrl":"https://doi.org/10.4171/jems/1392","url":null,"abstract":". In this paper, we obtain sharp estimates for the rate of propagation of the Fisher-KPP equation with nonlocal diffusion and free boundaries. The nonlocal diffusion operator is given by (cid:82) R J ( x − y ) u ( t, y ) dy − u ( t, x ), and our estimates hold for some typical classes of kernel functions J ( x ). For example, if for | x | (cid:29) 1 the kernel function satisfies J ( x ) ∼ | x | − γ with γ > 1, then it follows from [17] that there is a finite spreading speed when γ > 2, namely the free boundary x = h ( t ) satisfies lim t →∞ h ( t ) /t = c 0 for some uniquely determined positive constant c 0 depending on J , and when γ ∈ (1 , 2], lim t →∞ h ( t ) /t = ∞ ; the estimates in the current paper imply that, for t (cid:29) 1, c 0 t − h ( t ) ∼   1 when γ > 3 ln t when γ = 3 , t 3 − γ when γ ∈ (2 , 3) , and h ( t ) ∼ (cid:26) t ln t when γ = 2 , t 1 / ( γ − 1) when γ ∈ (1 , 2) . Our approach is based on subtle integral estimates and constructions of upper and lower solutions, which rely crucially on guessing correctly the order of growth of the term to be estimated. The techniques developed here lay the ground for extensions to more general situations.","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"50 16","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138995829","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
Cohomology of the moduli of Higgs bundles on a curve via positive characteristic 通过正特征的曲线上希格斯束模态的同调性
IF 2.6 1区 数学
Journal of the European Mathematical Society Pub Date : 2023-12-16 DOI: 10.4171/jems/1393
M. A. D. de Cataldo, D. Maulik, Junliang Shen, Siqing Zhang
{"title":"Cohomology of the moduli of Higgs bundles on a curve via positive characteristic","authors":"M. A. D. de Cataldo, D. Maulik, Junliang Shen, Siqing Zhang","doi":"10.4171/jems/1393","DOIUrl":"https://doi.org/10.4171/jems/1393","url":null,"abstract":"","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"48 2","pages":""},"PeriodicalIF":2.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138967703","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
Topological characteristic factors and nilsystems 拓扑特征因子与零系统
1区 数学
Journal of the European Mathematical Society Pub Date : 2023-10-31 DOI: 10.4171/jems/1379
Eli Glasner, Wen Huang, Song Shao, Benjamin Weiss, Xiangdong Ye
{"title":"Topological characteristic factors and nilsystems","authors":"Eli Glasner, Wen Huang, Song Shao, Benjamin Weiss, Xiangdong Ye","doi":"10.4171/jems/1379","DOIUrl":"https://doi.org/10.4171/jems/1379","url":null,"abstract":"We prove that the maximal infinite step pro-nilfactor $X_infty$ of a minimal dynamical system $(X,T)$ is the topological characteristic factor in a certain sense. Namely, we show that by an almost one to one modification of $pi:X rightarrow X_infty$, the induced open extension $pi^*:X^* rightarrow X^*_infty$ has the following property: for $x$ in a dense $G_delta$ set of $X^*$, the orbit closure $L_x=overline{mathcal{O}}((x,x,ldots,x), Ttimes T^2times ldots times T^d)$ is $(pi^*)^{(d)}$-saturated, i.e. $L_x=((pi^*)^{(d)})^{-1}(pi^*)^{(d)}(L_x)$. ","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"569 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135870959","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: 7
A Tits alternative for endomorphisms of the projective line 它是投影线的自同态的替代
1区 数学
Journal of the European Mathematical Society Pub Date : 2023-10-31 DOI: 10.4171/jems/1376
Jason Bell, Keping Huang, Wayne Peng, Thomas Tucker
{"title":"A Tits alternative for endomorphisms of the projective line","authors":"Jason Bell, Keping Huang, Wayne Peng, Thomas Tucker","doi":"10.4171/jems/1376","DOIUrl":"https://doi.org/10.4171/jems/1376","url":null,"abstract":"We prove an analog of the Tits alternative for endomorphisms of $mathbb{P}^1$. In particular, we show that if $S$ is a finitely generated semigroup of endomorphisms of $mathbb{P}^1$ over $mathbb{C}$, then either $S$ has polynomially bounded growth or $S$ contains a nonabelian free semigroup. We also show that if $f$ and $g$ are polarizable maps over any field of any characteristic and $operatorname{Prep}(f) not= operatorname{Prep}(g)$, then for all sufficiently large $j$, the semigroup $langle f^j, g^j rangle$ is a free semigroup on two generators.","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135808401","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
Sharp quantitative stability of the planar Brunn–Minkowski inequality 平面Brunn-Minkowski不等式的急剧数量稳定性
1区 数学
Journal of the European Mathematical Society Pub Date : 2023-10-25 DOI: 10.4171/jems/1372
Peter van Hintum, Hunter Spink, Marius Tiba
{"title":"Sharp quantitative stability of the planar Brunn–Minkowski inequality","authors":"Peter van Hintum, Hunter Spink, Marius Tiba","doi":"10.4171/jems/1372","DOIUrl":"https://doi.org/10.4171/jems/1372","url":null,"abstract":"We prove a sharp stability result for the Brunn–Minkowski inequality for $A,Bsubsetmathbb{R}^2$. Assuming that the Brunn–Minkowski deficit $delta=|A+B|^{1/2}/(|A|^{1/2}+|B|^{1/2})-1$ is sufficiently small in terms of $t=|A|^{1/2}/(|A|^{1/2}+|B|^{1/2})$, there exist homothetic convex sets $K_A supset A$ and $K_Bsupset B$ such that $frac{|K_Asetminus A|}{|A|}+frac{|K_Bsetminus B|}{|B|} le C t^{-{1/2}}delta^{1/2}$. The key ingredient is to show for every $epsilon,t>0$, if $delta$ is sufficiently small then $|!operatorname{co}(A+B)setminus (A+B)|le (1+epsilon)(|!operatorname{co}(A)setminus A|+|!operatorname{co}(B)setminus B|)$.","PeriodicalId":50003,"journal":{"name":"Journal of the European Mathematical Society","volume":"30 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134972736","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: 10
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