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Annales De L Institut Fourier最新文献

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The Perverse Eigenspace of One for the Milnor Monodromy 米尔诺单矩阵1的反常特征空间
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-29 DOI: 10.5802/aif.3499
D. Massey
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引用次数: 0
Mesures de Radon stationnaires pour une marche aléatoire sur 𝕋 d ×ℝ 在𝕋D×ℝ上随机行走的固定氡测量
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-29 DOI: 10.5802/aif.3519
Timothée Bénard
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引用次数: 0
Constant mean curvature Isometric Immersions into 𝕊 2 ×ℝ and
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-29 DOI: 10.5802/aif.3521
Benoît Daniel, Iury Domingos, F. Vitório
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引用次数: 0
Monodromy of the family of Cubic Surfaces branching over Smooth Cubic Curves 光滑三次曲线上分支的三次曲面族的单一性
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-07 DOI: 10.5802/aif.3481
Adán Medrano Martín del Campo
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引用次数: 0
Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces 负Sobolev空间中三次非线性波动方程的概率局部柯西理论
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-01 DOI: 10.5802/aif.3454
Tadahiro Oh, Oana Pocovnicu, N. Tzvetkov
{"title":"Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces","authors":"Tadahiro Oh, Oana Pocovnicu, N. Tzvetkov","doi":"10.5802/aif.3454","DOIUrl":"https://doi.org/10.5802/aif.3454","url":null,"abstract":"— We study the three-dimensional cubic nonlinear wave equation (NLW) with random initial data below L2(T3). By considering the second order expansion in terms of the random linear solution, we prove almost sure local wellposedness of the renormalized NLW in negative Sobolev spaces. We also prove a new instability result for the defocusing cubic NLW without renormalization in negative Sobolev spaces, which is in the spirit of the so-called triviality in the study of stochastic partial differential equations. More precisely, by studying (unrenormalized) NLW with given smooth deterministic initial data plus a certain truncated random initial data, we show that, as the truncation is removed, the solutions converge to 0 in the distributional sense for any deterministic initial data. Résumé. — On étudie l’équation des ondes non linéaire cubique (NLW) en dimension 3 avec une donnée initiale aléatoire en-dessous de L2(T3). En considérant le développement d’ordre 2 en termes de la solution aléatoire linéaire, on prouve le caractère presque sûrement localement bien posé de NLW renormalisée dans les espaces de Sobolev d’indices négatifs. On montre aussi un nouveau résultat d’instabilité pour l’équation NLW cubique défocalisante sans renormalisation dans les espaces de Sobolev d’indices négatifs, dans l’esprit du caractère non trivial dans l’étude des équations aux dérivées partielles stochastiques. Plus précisément, en étudiant NLW non renormalisée avec des données initiales régulières déterministes plus une donnée initiale aléatoire tronquée, on montre que, dès que la troncature est supprimée, les solutions tendent vers 0 au sens des distributions pour toute donnée initiale déterministe.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47412663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 14
Extension of torsors and prime to p fundamental group scheme torsors和素数对p基群方案的推广
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-01 DOI: 10.5802/aif.3475
Marco Antei, Jimmy Calvo-Monge
{"title":"Extension of torsors and prime to p fundamental group scheme","authors":"Marco Antei, Jimmy Calvo-Monge","doi":"10.5802/aif.3475","DOIUrl":"https://doi.org/10.5802/aif.3475","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43145903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
p-adic L-functions and the geometry of Hida families p-adic L-函数与Hida族的几何
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-01 DOI: 10.5802/aif.3467
Joe Kramer-Miller
{"title":"p-adic L-functions and the geometry of Hida families","authors":"Joe Kramer-Miller","doi":"10.5802/aif.3467","DOIUrl":"https://doi.org/10.5802/aif.3467","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47056036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
New products and ℤ 2 -extensions of compact matrix quantum groups 新产品和ℤ 紧致矩阵量子群的2-扩张
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-01 DOI: 10.5802/aif.3478
Daniel Gromada, Moritz Weber
{"title":"New products and ℤ 2 -extensions of compact matrix quantum groups","authors":"Daniel Gromada, Moritz Weber","doi":"10.5802/aif.3478","DOIUrl":"https://doi.org/10.5802/aif.3478","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43605093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 reverse coarea-type inequality in Carnot groups 卡诺群中的一个逆coarea型不等式
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-01 DOI: 10.5802/aif.3474
Francesca Corni
{"title":"A reverse coarea-type inequality in Carnot groups","authors":"Francesca Corni","doi":"10.5802/aif.3474","DOIUrl":"https://doi.org/10.5802/aif.3474","url":null,"abstract":". We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level sets of the function are uniformly lower Ahlfors regular and that the Pansu differential is everywhere surjective.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45141020","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Tête-à-tête twists, monodromies and representation of elements of Mapping Class Group 映射类组元素的扭曲、单峰和表示
IF 0.7 4区 数学
Annales De L Institut Fourier Pub Date : 2022-07-01 DOI: 10.5802/aif.3459
N. A'campo, J. Fernández de Bobadilla, Maria Pe Pereira, Pablo Portilla Cuadrado
{"title":"Tête-à-tête twists, monodromies and representation of elements of Mapping Class Group","authors":"N. A'campo, J. Fernández de Bobadilla, Maria Pe Pereira, Pablo Portilla Cuadrado","doi":"10.5802/aif.3459","DOIUrl":"https://doi.org/10.5802/aif.3459","url":null,"abstract":"— We study monodromies of plane curve singularities and pseudoperiodic homeomorphisms of oriented surfaces with boundary using tête-à-tête graphs and twists. A tête-à-tête twist is a generalisation of the classical Dehn twist. We introduce the class of mixed tête-à-tête graphs and twists, and prove that mixed tête-à-tête twists contain the monodromies of irreducible plane curve singularities. In a sequel paper, the fourth author and B. Sigurdsson have extended this to the reducible case.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44196713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
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