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Mathematics and Mechanics of Complex Systems最新文献

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Around two theorems and a lemma by Lucio Russo 围绕卢西奥·鲁索的两个定理和一个引理
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-05-29 DOI: 10.2140/MEMOCS.2018.6.69
I. Benjamini, G. Kalai
{"title":"Around two theorems and a lemma by Lucio Russo","authors":"I. Benjamini, G. Kalai","doi":"10.2140/MEMOCS.2018.6.69","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.69","url":null,"abstract":"We did not meet Lucio Russo in person but his mathematical work greatly influenced our own and his wide horizons and interests in physics, mathematics, philosophy, and history greatly inspired us. We describe here two directions of study following early work of Russo. The first section follow the famous Russo-Seymour-Welsh theorem regarding critical planar percolation. The second section follows the basic ”Russo’s lemma” and deep ”Russo’s 0-1 law”. In each direction we present one central conjecture.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"50 1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83935781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results 损伤的应变梯度变分方法:与损伤梯度模型和数值结果的比较
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-05-29 DOI: 10.2140/MEMOCS.2018.6.77
L. Placidi, E. Barchiesi, A. Misra
{"title":"A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results","authors":"L. Placidi, E. Barchiesi, A. Misra","doi":"10.2140/MEMOCS.2018.6.77","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.77","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"150 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77293680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 155
An arbitrarily shaped Eshelby inclusion interacting with a circular piezoelectric inhomogeneity penetrated by a semi-infinite crack 半无限裂纹穿透的圆形压电非均匀性与任意形状Eshelby夹杂的相互作用
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2018-05-29 DOI: 10.2140/MEMOCS.2018.6.125
Xu Wang, P. Schiavone
{"title":"An arbitrarily shaped Eshelby inclusion interacting with a circular piezoelectric inhomogeneity penetrated by a semi-infinite crack","authors":"Xu Wang, P. Schiavone","doi":"10.2140/MEMOCS.2018.6.125","DOIUrl":"https://doi.org/10.2140/MEMOCS.2018.6.125","url":null,"abstract":"","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"188 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2018-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79416912","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On jets, almost symmetric tensors, and traction hyper-stresses 在喷流上，几乎对称张量，和牵引力超应力
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2017-10-28 DOI: 10.2140/memocs.2018.6.101
R. Segev, J. Sniatycki
{"title":"On jets, almost symmetric tensors, and traction hyper-stresses","authors":"R. Segev, J. Sniatycki","doi":"10.2140/memocs.2018.6.101","DOIUrl":"https://doi.org/10.2140/memocs.2018.6.101","url":null,"abstract":"The paper considers the formulation of higher-order continuum mechanics on differentiable manifolds devoid of any metric or parallelism structure. For generalized velocities modeled as sections of some vector bundle, a variational kth order hyper-stress is an object that acts on jets of generalized velocities to produce power densities. The traction hyper-stress is introduced as an object that induces hyper-traction fields on the boundaries of subbodies. Additional aspects of multilinear algebra relevant to the analysis of these objects are reviewed.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"27 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2017-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85935354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Effective computation of SO(3) and O(3) linearrepresentation symmetry classes SO(3)和O(3)线性表示对称类的有效计算
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2017-09-06 DOI: 10.2140/memocs.2019.7.203
M. Olive
{"title":"Effective computation of SO(3) and O(3) linear\u0000representation symmetry classes","authors":"M. Olive","doi":"10.2140/memocs.2019.7.203","DOIUrl":"https://doi.org/10.2140/memocs.2019.7.203","url":null,"abstract":"We propose a general algorithm to compute all the symmetry classes of any $mathrm{SO}(3)$ or $mathrm{O}(3)$ linear representation. This method relies on the introduction of a binary operator between sets of conjugacy classes of closed subgroups, called the clips. We compute explicit tables for this operation which allows to solve definitively the problem.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"1 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2017-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77243415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Low-temperature ratchet current 低温棘轮电流
IF 1.9
Mathematics and Mechanics of Complex Systems Pub Date : 2015-08-05 DOI: 10.2140/memocs.2019.7.239
Justine Louis
{"title":"Low-temperature ratchet current","authors":"Justine Louis","doi":"10.2140/memocs.2019.7.239","DOIUrl":"https://doi.org/10.2140/memocs.2019.7.239","url":null,"abstract":"In [3], the low temperature ratchet current in a multilevel system is considered. In this note, we give an explicit expression for it and find its numerical value as the number of states goes to infinity.","PeriodicalId":45078,"journal":{"name":"Mathematics and Mechanics of Complex Systems","volume":"158 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2015-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82647205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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