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Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL(2,ℝ) -Actions on Homogeneous Spaces 同质空间上的非虚拟非连续群作用与适当 SL(2,ℝ) 作用
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-06-14 DOI: 10.1080/10586458.2024.2363508
Maciej Bocheński, Willem A. de Graaf, Piotr Jastrzȩbski, Aleksy Tralle
{"title":"Non-Virtually Abelian Discontinuous Group Actions vs. Proper SL(2,ℝ) -Actions on Homogeneous Spaces","authors":"Maciej Bocheński, Willem A. de Graaf, Piotr Jastrzȩbski, Aleksy Tralle","doi":"10.1080/10586458.2024.2363508","DOIUrl":"https://doi.org/10.1080/10586458.2024.2363508","url":null,"abstract":"We develop algorithms and computer programs which verify criteria of properness of discrete group actions on semisimple homogeneous spaces. We apply these algorithms to find new examples of non-vir...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141518678","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
The Variety of Polar Simplices II 极简的多样性 II
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-26 DOI: 10.1080/10586458.2024.2343846
Joachim Jelisiejew, Kristian Ranestad, Frank-Olaf Schreyer
{"title":"The Variety of Polar Simplices II","authors":"Joachim Jelisiejew, Kristian Ranestad, Frank-Olaf Schreyer","doi":"10.1080/10586458.2024.2343846","DOIUrl":"https://doi.org/10.1080/10586458.2024.2343846","url":null,"abstract":"We discuss the space VPS(Q, H) of ideals with Hilbert function H=(1,n,n,…) that are apolar to a full rank quadric Q. We prove that its components of saturated ideals are closely related to the locu...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140941726","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
2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ 在ℚ上定义的非 CM 同源-扭转图的 2-Adic 伽罗瓦图像
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-25 DOI: 10.1080/10586458.2024.2336060
Garen Chiloyan
{"title":"2-Adic Galois Images of Non-CM Isogeny-Torsion Graphs Defined over ℚ","authors":"Garen Chiloyan","doi":"10.1080/10586458.2024.2336060","DOIUrl":"https://doi.org/10.1080/10586458.2024.2336060","url":null,"abstract":"Let E be a Q-isogeny class of elliptic curves defined over Q without CM. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in E and an edge for each Q-isogeny ...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141146872","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
Combinatorics of Correlated Equilibria 相关均衡的组合学
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-23 DOI: 10.1080/10586458.2024.2340000
Marie-Charlotte Brandenburg, Benjamin Hollering, Irem Portakal
{"title":"Combinatorics of Correlated Equilibria","authors":"Marie-Charlotte Brandenburg, Benjamin Hollering, Irem Portakal","doi":"10.1080/10586458.2024.2340000","DOIUrl":"https://doi.org/10.1080/10586458.2024.2340000","url":null,"abstract":"We study the correlated equilibrium polytope PG of a game G from a combinatorial point of view. We introduce the region of full-dimensionality for this class of polytopes and prove that it is a sem...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140936056","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
Kronecker Sequences with Many Distances 具有许多距离的克罗内克序列
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-14 DOI: 10.1080/10586458.2024.2340742
Carl P. Dettmann
{"title":"Kronecker Sequences with Many Distances","authors":"Carl P. Dettmann","doi":"10.1080/10586458.2024.2340742","DOIUrl":"https://doi.org/10.1080/10586458.2024.2340742","url":null,"abstract":"The three gap theorem states that for any α∈R and N∈N, the number of different gaps between consecutive nα( mod 1) for n∈{1,…,N} is at most 3. Biringer and Schmidt (2008) instead considered the dis...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140602534","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
There are Salem Numbers with Trace –3 and Every Degree At Least 34 有轨迹为 -3 且每个度数至少为 34 的撒冷数
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-14 DOI: 10.1080/10586458.2024.2337223
Giacomo Cherubini, Pavlo Yatsyna
{"title":"There are Salem Numbers with Trace –3 and Every Degree At Least 34","authors":"Giacomo Cherubini, Pavlo Yatsyna","doi":"10.1080/10586458.2024.2337223","DOIUrl":"https://doi.org/10.1080/10586458.2024.2337223","url":null,"abstract":"We prove that there exist Salem numbers with trace –3 and every even degree ≥34. Our proof combines a theoretical approach, which allows us to treat all sufficiently large degrees, with a numerical...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140588215","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
A Concrete Model for the Quantum Permutation Group on 4 Points 4 点量子置换群的具体模型
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-13 DOI: 10.1080/10586458.2024.2337232
Nicolas Faroß, Moritz Weber
{"title":"A Concrete Model for the Quantum Permutation Group on 4 Points","authors":"Nicolas Faroß, Moritz Weber","doi":"10.1080/10586458.2024.2337232","DOIUrl":"https://doi.org/10.1080/10586458.2024.2337232","url":null,"abstract":"In 2019, Jung–Weber gave an example of a concrete magic unitary M, which defines a C*-algebraic model of the quantum permutation group S4+. We show with the help of a computer that there exist no p...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140588034","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
Triangular Diagonal Harmonics Conjectures 三角形对角线谐波猜想
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-10 DOI: 10.1080/10586458.2024.2336074
F. Bergeron
{"title":"Triangular Diagonal Harmonics Conjectures","authors":"F. Bergeron","doi":"10.1080/10586458.2024.2336074","DOIUrl":"https://doi.org/10.1080/10586458.2024.2336074","url":null,"abstract":"The purpose of this paper is to present conjectures that extend to any “triangular” partitions (partitions “under any line” in the terminology of Blasiak-Haiman-Morse-Pun-Seelinger), properties of ...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587614","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
Haemers’ Conjecture: An Algorithmic Perspective 海默斯猜想算法视角
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-10 DOI: 10.1080/10586458.2024.2337229
Wei Wang, Wei Wang
{"title":"Haemers’ Conjecture: An Algorithmic Perspective","authors":"Wei Wang, Wei Wang","doi":"10.1080/10586458.2024.2337229","DOIUrl":"https://doi.org/10.1080/10586458.2024.2337229","url":null,"abstract":"Characterizing graphs by their spectra is a fundamental and challenging problem in spectral graph theory, which has received considerable attention in recent years. A major unsolved conjecture in t...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587841","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
Counting Minimal Triples for a Generalized Markoff Equation 计算广义马尔科夫方程的最小三元组
IF 0.5 4区 数学
Experimental Mathematics Pub Date : 2024-04-09 DOI: 10.1080/10586458.2024.2338279
A. Srinivasan, L. A. Calvo
{"title":"Counting Minimal Triples for a Generalized Markoff Equation","authors":"A. Srinivasan, L. A. Calvo","doi":"10.1080/10586458.2024.2338279","DOIUrl":"https://doi.org/10.1080/10586458.2024.2338279","url":null,"abstract":"If the generalized Markoff equation a2+b2+c2=3abc+m has a solution triple, then it has infinitely many solutions. For a positive integer m > 1, we show that all positive solution triples are genera...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587616","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
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