{"title":"Planar Stick Indices of Some Knotted Graphs","authors":"Tirasan Khandhawit, Puttipong Pongtanapaisan, Athibadee Wasun","doi":"10.1080/10586458.2024.2381681","DOIUrl":"https://doi.org/10.1080/10586458.2024.2381681","url":null,"abstract":"Two isomorphic graphs can have inequivalent spatial embeddings in 3-space. In this way, an isomorphism class of graphs contains many spatial graph types. A common way to measure the complexity of a...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"21 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886244","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":"The Schwarzian Derivative and the Degree of a Classical Minimal Surface","authors":"Thomas Mettler, Lukas Poerschke","doi":"10.1080/10586458.2024.2379777","DOIUrl":"https://doi.org/10.1080/10586458.2024.2379777","url":null,"abstract":"Using the Schwarzian derivative we construct a sequence (Pl)l⩾2 of meromorphic differentials on every non-flat oriented minimal surface in Euclidean 3-space. The differentials (Pl)l⩾2 are invaria...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"22 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141886231","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}
Gloire Grâce Bockondas, Basile Guy Richard Bossoto
{"title":"Eckardt Points on a Cubic Threefold","authors":"Gloire Grâce Bockondas, Basile Guy Richard Bossoto","doi":"10.1080/10586458.2024.2362354","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362354","url":null,"abstract":"In this paper we survey Eckardt points on a smooth complex cubic threefold with an approach aimed at computing all Eckardt points of a cubic threefold. In addition, we construct cubic threefolds wi...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"71 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141738332","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}
Dimitris Vartziotis, George Dasoulas, Florian Pausinger
{"title":"Learn2Extend: Extending Sequences by Retaining their Statistical Properties with Mixture Models","authors":"Dimitris Vartziotis, George Dasoulas, Florian Pausinger","doi":"10.1080/10586458.2024.2362351","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362351","url":null,"abstract":"This paper addresses the challenge of extending general finite sequences of real numbers within a subinterval of the real line, maintaining their inherent statistical properties by employing machin...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"171 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141529411","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":"An Exploration of Degeneracy in Abelian Varieties of Fermat Type","authors":"Heidi Goodson","doi":"10.1080/10586458.2024.2362953","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362953","url":null,"abstract":"The term degenerate is used to describe abelian varieties whose Hodge rings contain exceptional cycles – Hodge cycles that are not generated by divisor classes. We can see the effect of the excepti...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"53 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141532696","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":"Gaps Between Consecutive Primes and the Exponential Distribution","authors":"Joel E. Cohen","doi":"10.1080/10586458.2024.2362348","DOIUrl":"https://doi.org/10.1080/10586458.2024.2362348","url":null,"abstract":"Based on the primes less than 4×1018, Oliveira e Silva et al. (Math. Comp., 83(288):2033–2060, 2014) conjectured an asymptotic formula for the sum of the kth power of the gaps between consecutive p...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"174 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506581","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":"A New Orbit Closure in Genus 8?","authors":"Vincent Delecroix, Julian Rüth","doi":"10.1080/10586458.2024.2361608","DOIUrl":"https://doi.org/10.1080/10586458.2024.2361608","url":null,"abstract":"We provide numerical evidence that the GL2(R)-orbit closure of the unfolding of the (3, 4, 13)-triangle in the moduli space of Abelian differentials is a previously unknown 4-dimensional variety. F...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"23 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506583","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":"Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups","authors":"Jing Jin, Liu Xin Jin, Olivia X. M. Yao","doi":"10.1080/10586458.2024.2363510","DOIUrl":"https://doi.org/10.1080/10586458.2024.2363510","url":null,"abstract":"In 1919, Ramanujan proved red three congruences for the partition function p(n) which denotes the number of partitions of n. The partition function p(n) can be understood as the number of irreducib...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"158 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506582","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":"A Polynomial Time Algorithm for Calculating Fourier-Dedekind Sums","authors":"Guoce Xin, Xinyu Xu","doi":"10.1080/10586458.2024.2364264","DOIUrl":"https://doi.org/10.1080/10586458.2024.2364264","url":null,"abstract":"We solve an open problem proposed in the book “Computing the continuous discretely” written by Matthias Beck and Sinai Robins. That is, we provide a practical polynomial time algorithm for calculat...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141506584","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}
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":"17 1","pages":""},"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}