{"title":"The Perverse Eigenspace of One for the Milnor Monodromy","authors":"D. Massey","doi":"10.5802/aif.3499","DOIUrl":"https://doi.org/10.5802/aif.3499","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48936913","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}
{"title":"Mesures de Radon stationnaires pour une marche aléatoire sur 𝕋 d ×ℝ","authors":"Timothée Bénard","doi":"10.5802/aif.3519","DOIUrl":"https://doi.org/10.5802/aif.3519","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47149774","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}
{"title":"Constant mean curvature Isometric Immersions into 𝕊 2 ×ℝ and ","authors":"Benoît Daniel, Iury Domingos, F. Vitório","doi":"10.5802/aif.3521","DOIUrl":"https://doi.org/10.5802/aif.3521","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47856736","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}
{"title":"Monodromy of the family of Cubic Surfaces branching over Smooth Cubic Curves","authors":"Adán Medrano Martín del Campo","doi":"10.5802/aif.3481","DOIUrl":"https://doi.org/10.5802/aif.3481","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46794614","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}
— 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.
研究了L2(T3)以下随机初始数据的三维三次非线性波动方程(NLW)。通过考虑随机线性解的二阶展开式，我们证明了重归一化NLW在负Sobolev空间中的几乎肯定的局部适定性。我们还证明了负Sobolev空间中无重整化的散焦三次NLW的一个新的不稳定性结果，该结果符合随机偏微分方程研究中所谓的琐碎性的精神。更准确地说，通过研究具有给定光滑确定性初始数据加上一定截断的随机初始数据的(未重新归一化)NLW，我们证明，当截断后，对于任何确定性初始数据，解在分布意义上收敛于0。的简历。-关于3维的 (NLW) - 3维的 (NLW) - 3维的 (l3) - 3维的 (l3) - 3维的 (l3) - 3维的。在相当大的范围内，按照2个术语的规定，将所有的(或)·········解决所有的·················在装饰音管也联合国新结果d 'instabilite倒等式NLW cubique defocalisante sans renormalisation在埃斯佩斯de水列夫d 'indices负数,在思路du特征des方程非平凡在向我辅助获得partielles stochastiques。加上pracest, en samuest, en samuest，非正态化的samuest，加上1个samuest，最初的samuest，最后的samuest，最后的samuest，最后的samuest，最后的samuest，最后的samuest，最后的samuest，最后的samuest，最后的samuest，最后的samuest，最后的samuest，最后的解决方案。
{"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}
{"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}
{"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}
{"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}
. 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.
{"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}
N. A'campo, J. Fernández de Bobadilla, Maria Pe Pereira, Pablo Portilla Cuadrado
— 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.
{"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}
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