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Canadian Journal of Mathematics-Journal Canadien De Mathematiques最新文献

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Quantitative Inverse Theorem for Gowers Uniformity Norms and in Gowers均匀性范数的定量逆定理
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-06-15 DOI: 10.4153/s0008414x23000391
Luka Milićević
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引用次数: 0
Schreier Families and -(almost) greedy bases 施赖尔家族和(几乎)贪婪的碱基
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-06-14 DOI: 10.4153/s0008414x23000378
K. Beanland, Hùng Việt Chu
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引用次数: 0
The first-order theory of binary overlap-free words is decidable 二元无重叠词的一阶理论是可判定的
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-05-26 DOI: 10.4153/s0008414x23000342
Luke Schaeffer, Jeffrey Shallit
{"title":"The first-order theory of binary overlap-free words is decidable","authors":"Luke Schaeffer, Jeffrey Shallit","doi":"10.4153/s0008414x23000342","DOIUrl":"https://doi.org/10.4153/s0008414x23000342","url":null,"abstract":"Abstract We show that the first-order logical theory of the binary overlap-free words (and, more generally, the $alpha $ -free words for rational $alpha $ , $2 < alpha leq 7/3$ ), is decidable. As a consequence, many results previously obtained about this class through tedious case-based proofs can now be proved “automatically,” using a decision procedure, and new claims can be proved or disproved simply by restating them as logical formulas.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135996842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Stable finiteness of twisted group rings and noisy linear cellular automata 扭曲群环和噪声线性元胞自动机的稳定有限性
3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-05-22 DOI: 10.4153/s0008414x23000329
Xuan Kien Phung
{"title":"Stable finiteness of twisted group rings and noisy linear cellular automata","authors":"Xuan Kien Phung","doi":"10.4153/s0008414x23000329","DOIUrl":"https://doi.org/10.4153/s0008414x23000329","url":null,"abstract":"Abstract For linear nonuniform cellular automata (NUCA) which are local perturbations of linear CA over a group universe G and a finite-dimensional vector space alphabet V over an arbitrary field k , we investigate their Dedekind finiteness property, also known as the direct finiteness property, i.e., left or right invertibility implies invertibility. We say that the group G is $L^1$ -surjunctive, resp. finitely $L^1$ -surjunctive, if all such linear NUCA are automatically surjective whenever they are stably injective, resp. when in addition k is finite. In parallel, we introduce the ring $D^1(k[G])$ which is the Cartesian product $k[G] times (k[G])[G]$ as an additive group but the multiplication is twisted in the second component. The ring $D^1(k[G])$ contains naturally the group ring $k[G]$ and we obtain a dynamical characterization of its stable finiteness for every field k in terms of the finite $L^1$ -surjunctivity of the group G , which holds, for example, when G is residually finite or initially subamenable. Our results extend known results in the case of CA.","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135337986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
CJM volume 75 issue 3 Cover and Front matter CJM第75卷第3期封面和封面问题
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-05-11 DOI: 10.4153/s0008414x2300024x
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引用次数: 0
CJM volume 75 issue 3 Cover and Back matter CJM第75卷第3期封面和封底
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-05-11 DOI: 10.4153/s0008414x23000251
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引用次数: 0
A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams 从3-流形的流脊和虚结图导出了3-流形的着色不变量
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-05-02 DOI: 10.4153/s0008414x23000299
I. Ishii, Takuji Nakamura, Toshio Saito
{"title":"A coloring invariant of 3-manifolds derived from their flow-spines and virtual knot diagrams","authors":"I. Ishii, Takuji Nakamura, Toshio Saito","doi":"10.4153/s0008414x23000299","DOIUrl":"https://doi.org/10.4153/s0008414x23000299","url":null,"abstract":"","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79611197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Logan’s problem for Jacobi transforms 洛根对雅可比变换的问题
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-04-24 DOI: 10.4153/s0008414x23000275
D. Gorbachev, V. Ivanov, S. Tikhonov
{"title":"Logan’s problem for Jacobi transforms","authors":"D. Gorbachev, V. Ivanov, S. Tikhonov","doi":"10.4153/s0008414x23000275","DOIUrl":"https://doi.org/10.4153/s0008414x23000275","url":null,"abstract":"","PeriodicalId":55284,"journal":{"name":"Canadian Journal of Mathematics-Journal Canadien De Mathematiques","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2023-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89286348","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
GENERAL TOEPLITZ KERNELS AND –INVARIANCE 通用toeplitz内核和-不变性
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-03-27 DOI: 10.4153/s0008414x23000196
M. Câmara, K. Kliś-Garlicka, M. Ptak
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引用次数: 0
CJM volume 75 issue 2 Cover and Back matter CJM第75卷第2期封面和封底
IF 0.7 3区 数学
Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-03-20 DOI: 10.4153/s0008414x23000147
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引用次数: 0
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