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Revista Matematica Iberoamericana最新文献

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Involutive Yang–Baxter: cabling, decomposability, and Dehornoy class 渐开式杨-巴克斯特:布线、可分解性和Dehornoy类
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-09-05 DOI: 10.4171/RMI/1438
V. Lebed, Santiago Ramírez, L. Vendramin
{"title":"Involutive Yang–Baxter: cabling, decomposability, and Dehornoy class","authors":"V. Lebed, Santiago Ramírez, L. Vendramin","doi":"10.4171/RMI/1438","DOIUrl":"https://doi.org/10.4171/RMI/1438","url":null,"abstract":"We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Baxter equation. It is based on the seminal decomposability theorem of Rump, and on\"cabling\"operations on solutions and their effect on the diagonal map. Our machinery yields an elementary proof of a recent decomposability theorem of Camp-More and Sastriques, as well as original decomposability results. It also provides a conceptual interpretation (using the braces language) of the Dehornoy class, a combinatorial invariant naturally appearing in the Garside-theoretic approach to involutive solutions.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47352983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 5
Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives 遍历理论与分析中的振荡不等式:单参数与多参数观点
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-09-03 DOI: 10.4171/rmi/1383
Mariusz Mirek, T. Szarek, James Wright
{"title":"Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives","authors":"Mariusz Mirek, T. Szarek, James Wright","doi":"10.4171/rmi/1383","DOIUrl":"https://doi.org/10.4171/rmi/1383","url":null,"abstract":". In this survey we review useful tools that naturally arise in the study of pointwise convergence problems in analysis, ergodic theory and probability. We will pay special attention to quantitative aspects of pointwise convergence phenomena from the point of view of oscillation estimates in both the single and several parameter settings. We establish a number of new oscillation inequalities and give new proofs for known results with elementary arguments.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42002989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 5
On the Moebius deformable hypersurfaces 在莫比乌斯可变形超曲面上
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-08-16 DOI: 10.4171/rmi/1437
M. I. Jimenez, R. Tojeiro
{"title":"On the Moebius deformable hypersurfaces","authors":"M. I. Jimenez, R. Tojeiro","doi":"10.4171/rmi/1437","DOIUrl":"https://doi.org/10.4171/rmi/1437","url":null,"abstract":"In the article [emph{Deformations of hypersurfaces preserving the M\"obius metric and a reduction theorem}, Adv. Math. 256 (2014), 156--205], Li, Ma and Wang investigated the interesting class of Moebius deformable hypersurfaces, that is, the umbilic-free Euclidean hypersurfaces $fcolon M^nto mathbb{R}^{n+1}$ that admit non-trivial deformations preserving the Moebius metric. The classification of Moebius deformable hypersurfaces of dimension $ngeq 4$ stated in the aforementioned article, however, misses a large class of examples. In this article we complete that classification for $ngeq 5$.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47359513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Extensions of a residually finite group by a weakly sofic group are weakly sofic 弱软群对剩余有限群的扩展是弱软群
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-08-02 DOI: 10.4171/rmi/1368
L. Glebsky
{"title":"Extensions of a residually finite group by a weakly sofic group are weakly sofic","authors":"L. Glebsky","doi":"10.4171/rmi/1368","DOIUrl":"https://doi.org/10.4171/rmi/1368","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41488163","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 Bernstein type quantitative estimates for Ornstein non-inequalities 关于Ornstein非不等式的Bernstein型定量估计
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-06-27 DOI: 10.4171/rmi/1441
Krystian Kazaniecki, M. Wojciechowski
{"title":"On Bernstein type quantitative estimates for Ornstein non-inequalities","authors":"Krystian Kazaniecki, M. Wojciechowski","doi":"10.4171/rmi/1441","DOIUrl":"https://doi.org/10.4171/rmi/1441","url":null,"abstract":"For the sequence of multi-indexes ${alpha_i}_{i=1}^{m}$ and $beta$ we study the inequality [ |D^{beta} f|_{L_1(mathbb{T}^d)}leq K_N sum_{j= 1}^{m} |D^{alpha_j}f|_{L_1(mathbb{T}^d)}, ] where $f$ is a trigonometric polynomial of degree at most $N$ on $d$-dimensional torus. Assuming some natural geometric property of the set ${alpha_j}cup{beta}$ we show that [ K_{N}geq C left(ln Nright)^{phi}, ] where $phi<1$ depends only on the set ${alpha_j}cup{beta}$.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49225441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Negative amphichiral knots and the half-Conway polynomial 负两手结和半康威多项式
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-06-07 DOI: 10.4171/rmi/1442
Keegan Boyle, Wenzhao Chen
{"title":"Negative amphichiral knots and the half-Conway polynomial","authors":"Keegan Boyle, Wenzhao Chen","doi":"10.4171/rmi/1442","DOIUrl":"https://doi.org/10.4171/rmi/1442","url":null,"abstract":"In 1979, Hartley and Kawauchi proved that the Conway polynomial of a strongly negative amphichiral knot factors as $f(z)f(-z)$. In this paper, we normalize the factor $f(z)$ to define the half-Conway polynomial. First, we prove that the half-Conway polynomial satisfies an equivariant skein relation, giving the first feasible computational method, which we use to compute the half-Conway polynomial for knots with 12 or fewer crossings. This skein relation also leads to a diagrammatic interpretation of the degree-one coefficient, from which we obtain a lower bound on the equivariant unknotting number. Second, we completely characterize polynomials arising as half-Conway polynomials of knots in $S^3$, answering a problem of Hartley-Kawauchi. As a special case, we construct the first examples of non-slice strongly negative amphichiral knots with determinant one, answering a question of Manolescu. The double branched covers of these knots provide potentially non-trivial torsion elements in the homology cobordism group.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44985923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 4
Interior estimates for the Monge–Ampère type fourth order equations monge - ampantere型四阶方程的内部估计
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-06-06 DOI: 10.4171/RMI/1361
Ling-Jun Wang, Bing Zhou
{"title":"Interior estimates for the Monge–Ampère type fourth order equations","authors":"Ling-Jun Wang, Bing Zhou","doi":"10.4171/RMI/1361","DOIUrl":"https://doi.org/10.4171/RMI/1361","url":null,"abstract":". In this paper, we give several new approaches to study the interior estimates for a class of fourth order equations of Monge-Amp`ere type. First, we prove the interior estimates for the homogeneous equation in dimension two by using the partial Legendre transform. As an application, we obtain a new proof of the Bernstein theorem without using Caffarelli-Guti´errez’s estimate, including the Chern conjecture on the affine maximal surfaces. For the inhomogeneous equation, we also obtain a new proof in dimension two by an integral method relying on the Monge-Amp`ere Sobolev inequality. This proof works even when the right hand side is singular. In higher dimensions, we obtain the interior regularity in terms of the integral bounds on the second derivatives and the inverse of the determinant.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44208749","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Weak-strong uniqueness for volume-preserving mean curvature flow 保体积平均曲率流的弱-强唯一性
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-05-25 DOI: 10.4171/rmi/1395
Tim Laux
{"title":"Weak-strong uniqueness for volume-preserving mean curvature flow","authors":"Tim Laux","doi":"10.4171/rmi/1395","DOIUrl":"https://doi.org/10.4171/rmi/1395","url":null,"abstract":"In this note, we derive a stability and weak-strong uniqueness principle for volume-preserving mean curvature flow. The proof is based on a new notion of volume-preserving gradient flow calibrations, which is a natural extension of the concept in the case without volume preservation recently introduced by Fischer et al. [arXiv:2003.05478]. The first main result shows that any strong solution with certain regularity is calibrated. The second main result consists of a stability estimate in terms of a relative entropy, which is valid in the class of distributional solutions to volume-preserving mean curvature flow.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44257311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Kostant’s problem for fully commutative permutations 完全交换置换的Kostant问题
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-05-18 DOI: 10.4171/rmi/1428
M. Mackaay, V. Mazorchuk, V. Miemietz
{"title":"Kostant’s problem for fully commutative permutations","authors":"M. Mackaay, V. Mazorchuk, V. Miemietz","doi":"10.4171/rmi/1428","DOIUrl":"https://doi.org/10.4171/rmi/1428","url":null,"abstract":"We give a complete combinatorial answer to Kostant's problem for simple highest weight modules indexed by fully commutative permutations. We also propose a reformulation of Kostant's problem in the context of fiab bicategories and classify annihilators of simple objects in the principal birepresentations of such bicategories generalising the Barbasch--Vogan theorem for Lie algebras.","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42513916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 4
Equivalence of critical and subcritical sharp Trudinger–Moser inequalities in fractional dimensions and extremal functions 分数维和极值函数中临界和次临界尖锐Trudinger-Moser不等式的等价性
IF 1.2 2区 数学
Revista Matematica Iberoamericana Pub Date : 2022-05-17 DOI: 10.4171/rmi/1349
J. F. de Oliveira, J. do Ó
{"title":"Equivalence of critical and subcritical sharp Trudinger–Moser inequalities in fractional dimensions and extremal functions","authors":"J. F. de Oliveira, J. do Ó","doi":"10.4171/rmi/1349","DOIUrl":"https://doi.org/10.4171/rmi/1349","url":null,"abstract":"","PeriodicalId":49604,"journal":{"name":"Revista Matematica Iberoamericana","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70906647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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