Badger, Matthew; Li, Sean; Zimmerman, Scott Identifying 1-rectifiable measures in Carnot groups. (English) Zbl 07787444 Anal. Geom. Metr. Spaces 11, Article ID 20230102, 40 p. (2023). MSC: 28A75 43A85 53A04 53C17 PDFBibTeX XMLCite \textit{M. Badger} et al., Anal. Geom. Metr. Spaces 11, Article ID 20230102, 40 p. (2023; Zbl 07787444) Full Text: DOI arXiv OA License
Eldredge, Nathaniel; Gordina, Maria; Donne, Enrico Le; Li, Sean Notions of null sets in infinite-dimensional Carnot groups. arXiv:2304.14524 Preprint, arXiv:2304.14524 [math.MG] (2023). MSC: 22E66 28C10 28C20 22E25 53C17 BibTeX Cite \textit{N. Eldredge} et al., ``Notions of null sets in infinite-dimensional Carnot groups'', Preprint, arXiv:2304.14524 [math.MG] (2023) Full Text: arXiv OA License
Chousionis, Vasileios; Li, Sean; Young, Robert The strong geometric lemma in the Heisenberg group. arXiv:2304.13711 Preprint, arXiv:2304.13711 [math.MG] (2023). MSC: 28A75 53C17 BibTeX Cite \textit{V. Chousionis} et al., ``The strong geometric lemma in the Heisenberg group'', Preprint, arXiv:2304.13711 [math.MG] (2023) Full Text: arXiv OA License
Li, Sean Stratified \(\beta \)-numbers and traveling salesman in Carnot groups. (English) Zbl 07730821 J. Lond. Math. Soc., II. Ser. 106, No. 2, 662-703 (2022). MSC: 28A75 53C17 22E25 PDFBibTeX XMLCite \textit{S. Li}, J. Lond. Math. Soc., II. Ser. 106, No. 2, 662--703 (2022; Zbl 07730821) Full Text: DOI arXiv
Li, Sean; Bohman, Björn; Jayatilaka, Dylan Enumerating possible molecular formulae in mass spectrometry using a generating function based method. (English) Zbl 1505.92287 MATCH Commun. Math. Comput. Chem. 88, No. 2, 321-350 (2022). Reviewer: Ismail Naci Cangül (Bursa) MSC: 92E10 05A99 PDFBibTeX XMLCite \textit{S. Li} et al., MATCH Commun. Math. Comput. Chem. 88, No. 2, 321--350 (2022; Zbl 1505.92287) Full Text: DOI
Chousionis, Vasileios; Li, Sean; Zimmerman, Scott Singular integrals on \(C^{1, \alpha}\) regular curves in Carnot groups. (English) Zbl 1504.43008 J. Anal. Math. 146, No. 1, 299-326 (2022). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 43A70 42B20 28A78 22E30 PDFBibTeX XMLCite \textit{V. Chousionis} et al., J. Anal. Math. 146, No. 1, 299--326 (2022; Zbl 1504.43008) Full Text: DOI arXiv
Li, Sean; Khovanova, Tanya The Penney’s game with group action. (English) Zbl 1486.00002 Ann. Comb. 26, No. 1, 145-170 (2022). MSC: 00A08 00A07 05A19 60C05 68T10 PDFBibTeX XMLCite \textit{S. Li} and \textit{T. Khovanova}, Ann. Comb. 26, No. 1, 145--170 (2022; Zbl 1486.00002) Full Text: DOI arXiv
Chousionis, Vasileios; Li, Sean; Young, Robert The strong geometric lemma for intrinsic Lipschitz graphs in Heisenberg groups. (English) Zbl 1498.43005 J. Reine Angew. Math. 784, 251-274 (2022). MSC: 43A30 28A75 05C99 53C17 PDFBibTeX XMLCite \textit{V. Chousionis} et al., J. Reine Angew. Math. 784, 251--274 (2022; Zbl 1498.43005) Full Text: DOI arXiv
Li, Sean On the number of generalized numerical semigroups. arXiv:2212.13740 Preprint, arXiv:2212.13740 [math.CO] (2022). MSC: 05A16 20M14 11P81 BibTeX Cite \textit{S. Li}, ``On the number of generalized numerical semigroups'', Preprint, arXiv:2212.13740 [math.CO] (2022) Full Text: arXiv OA License
Li, Sean Counting numerical semigroups by Frobenius number, multiplicity, and depth. arXiv:2208.14587 Preprint, arXiv:2208.14587 [math.CO] (2022). MSC: 05A16 20M14 BibTeX Cite \textit{S. Li}, ``Counting numerical semigroups by Frobenius number, multiplicity, and depth'', Preprint, arXiv:2208.14587 [math.CO] (2022) Full Text: DOI arXiv OA License
Chousionis, Vasileios; Li, Sean; Young, Robert The Riesz tranform on intrinsic Lipschitz graphs in the Heisenberg group. arXiv:2207.03013 Preprint, arXiv:2207.03013 [math.MG] (2022). BibTeX Cite \textit{V. Chousionis} et al., ``The Riesz tranform on intrinsic Lipschitz graphs in the Heisenberg group'', Preprint, arXiv:2207.03013 [math.MG] (2022) Full Text: arXiv OA License
Le Donne, Enrico; Li, Sean; Moisala, Terhi Infinite-dimensional Carnot groups and Gâteaux differentiability. (English) Zbl 1475.28001 J. Geom. Anal. 31, No. 2, 1756-1785 (2021). Reviewer: Michael Dymond (Leipzig) MSC: 28A15 46G05 53C17 58C20 PDFBibTeX XMLCite \textit{E. Le Donne} et al., J. Geom. Anal. 31, No. 2, 1756--1785 (2021; Zbl 1475.28001) Full Text: DOI
Choi, Yunseo; Li, Sean; Panidapu, Apoorva; Siegel, Casia Tamagawa Products for Elliptic Curves Over Number Fields. arXiv:2108.13625 Preprint, arXiv:2108.13625 [math.NT] (2021). MSC: 11G07 BibTeX Cite \textit{Y. Choi} et al., ``Tamagawa Products for Elliptic Curves Over Number Fields'', Preprint, arXiv:2108.13625 [math.NT] (2021) Full Text: arXiv OA License
Chousionis, Vasileios; Li, Sean; Vellis, Vyron; Zimmerman, Scott Bi-Lipschitz embeddings of Heisenberg submanifolds into Euclidean spaces. (English) Zbl 1450.30076 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 931-955 (2020). MSC: 30L05 53C17 PDFBibTeX XMLCite \textit{V. Chousionis} et al., Ann. Acad. Sci. Fenn., Math. 45, No. 2, 931--955 (2020; Zbl 1450.30076) Full Text: DOI arXiv
Chousionis, Vasilis; Li, Sean; Zimmerman, Scott The traveling salesman theorem in Carnot groups. (English) Zbl 1405.28003 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 14, 35 p. (2019). Reviewer: Daniele Puglisi (Catania) MSC: 28A75 28C10 35R03 PDFBibTeX XMLCite \textit{V. Chousionis} et al., Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 14, 35 p. (2019; Zbl 1405.28003) Full Text: DOI arXiv
Dymarz, Tullia; Kelly, Michael; Li, Sean; Lukyanenko, Anton Separated nets in nilpotent groups. (English) Zbl 1401.22007 Indiana Univ. Math. J. 67, No. 3, 1143-1183 (2018). MSC: 22E25 20F65 PDFBibTeX XMLCite \textit{T. Dymarz} et al., Indiana Univ. Math. J. 67, No. 3, 1143--1183 (2018; Zbl 1401.22007) Full Text: DOI arXiv
Azzam, Jonas; Hickman, Jonathan; Li, Sean Some remarks on the Lipschitz regularity of Radon transforms. (English) Zbl 1396.28004 Proc. Am. Math. Soc. 146, No. 10, 4331-4337 (2018). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 44A12 42B37 PDFBibTeX XMLCite \textit{J. Azzam} et al., Proc. Am. Math. Soc. 146, No. 10, 4331--4337 (2018; Zbl 1396.28004) Full Text: DOI arXiv
Bate, David; Li, Sean Differentiability and Poincaré-type inequalities in metric measure spaces. (English) Zbl 1402.30047 Adv. Math. 333, 868-930 (2018). Reviewer: Thomas Zürcher (Katowice) MSC: 30L99 49J52 53C23 PDFBibTeX XMLCite \textit{D. Bate} and \textit{S. Li}, Adv. Math. 333, 868--930 (2018; Zbl 1402.30047) Full Text: DOI arXiv Link
Donne, Enrico Le; Li, Sean; Moisala, Terhi Gâteaux differentiability on infinite-dimensional Carnot groups. arXiv:1812.07375 Preprint, arXiv:1812.07375 [math.FA] (2018). MSC: 28A15 53C17 58C20 46G05 BibTeX Cite \textit{E. Le Donne} et al., ``G\^ateaux differentiability on infinite-dimensional Carnot groups'', Preprint, arXiv:1812.07375 [math.FA] (2018) Full Text: arXiv OA License
Le Donne, Enrico; Li, Sean; Rajala, Tapio Ahlfors-regular distances on the Heisenberg group without bilipschitz pieces. (English) Zbl 1373.53042 Proc. Lond. Math. Soc. (3) 115, No. 2, 348-380 (2017). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 53C17 53C30 22F50 22E25 14M17 PDFBibTeX XMLCite \textit{E. Le Donne} et al., Proc. Lond. Math. Soc. (3) 115, No. 2, 348--380 (2017; Zbl 1373.53042) Full Text: DOI arXiv
Chousionis, Vasileios; Li, Sean Nonnegative kernels and 1-rectifiability in the Heisenberg group. (English) Zbl 1369.28004 Anal. PDE 10, No. 6, 1407-1428 (2017). MSC: 28A75 28C10 35R03 PDFBibTeX XMLCite \textit{V. Chousionis} and \textit{S. Li}, Anal. PDE 10, No. 6, 1407--1428 (2017; Zbl 1369.28004) Full Text: DOI arXiv
Bate, David; Li, Sean Characterizations of rectifiable metric measure spaces. (Caractérisation des espaces métriques mesurés rectifiables.) (English. French summary) Zbl 1369.28002 Ann. Sci. Éc. Norm. Supér. (4) 50, No. 1, 1-37 (2017). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 42B35 PDFBibTeX XMLCite \textit{D. Bate} and \textit{S. Li}, Ann. Sci. Éc. Norm. Supér. (4) 50, No. 1, 1--37 (2017; Zbl 1369.28002) Full Text: DOI arXiv Link
Li, Sean Markov convexity and nonembeddability of the Heisenberg group. (Convexité Markov et non-plongeabilité du groupe de Heisenberg.) (English. French summary) Zbl 1439.30087 Ann. Inst. Fourier 66, No. 4, 1615-1651 (2016). MSC: 30L05 PDFBibTeX XMLCite \textit{S. Li}, Ann. Inst. Fourier 66, No. 4, 1615--1651 (2016; Zbl 1439.30087) Full Text: DOI arXiv
Hytönen, Tuomas; Li, Sean; Naor, Assaf Quantitative affine approximation for UMD targets. (English) Zbl 1362.46008 Discrete Anal. 2016, Paper No. 6, 37 p. (2016). Reviewer: Oscar Blasco (Valencia) MSC: 46B06 46B09 PDFBibTeX XMLCite \textit{T. Hytönen} et al., Discrete Anal. 2016, Paper No. 6, 37 p. (2016; Zbl 1362.46008) Full Text: DOI arXiv
Li, Sean; Schul, Raanan An upper bound for the length of a traveling salesman path in the Heisenberg group. (English) Zbl 1355.28005 Rev. Mat. Iberoam. 32, No. 2, 391-417 (2016). Reviewer: Peibiao Zhao (Nanjing) MSC: 28A75 53C17 PDFBibTeX XMLCite \textit{S. Li} and \textit{R. Schul}, Rev. Mat. Iberoam. 32, No. 2, 391--417 (2016; Zbl 1355.28005) Full Text: DOI arXiv
Li, Sean; Schul, Raanan The traveling salesman problem in the Heisenberg group: upper bounding curvature. (English) Zbl 1350.53044 Trans. Am. Math. Soc. 368, No. 7, 4585-4620 (2016). MSC: 53C17 28A75 PDFBibTeX XMLCite \textit{S. Li} and \textit{R. Schul}, Trans. Am. Math. Soc. 368, No. 7, 4585--4620 (2016; Zbl 1350.53044) Full Text: DOI arXiv
Li, Sean BiLipschitz decomposition of Lipschitz maps between Carnot groups. (English) Zbl 1331.53055 Anal. Geom. Metr. Spaces 3, 231-243 (2015). Reviewer: Nathaniel Eldredge (Greeley) MSC: 53C17 28A78 22E25 PDFBibTeX XMLCite \textit{S. Li}, Anal. Geom. Metr. Spaces 3, 231--243 (2015; Zbl 1331.53055) Full Text: DOI arXiv
Li, Sean Coarse differentiation and quantitative nonembeddability for Carnot groups. (English) Zbl 1311.46021 J. Funct. Anal. 266, No. 7, 4616-4704 (2014). MSC: 46B85 53C23 PDFBibTeX XMLCite \textit{S. Li}, J. Funct. Anal. 266, No. 7, 4616--4704 (2014; Zbl 1311.46021) Full Text: DOI arXiv
Li, Sean; Naor, Assaf Discretization and affine approximation in high dimensions. (English) Zbl 1291.46021 Isr. J. Math. 197, 107-129 (2013). Reviewer: Gilles Godefroy (Paris) MSC: 46B85 46B80 PDFBibTeX XMLCite \textit{S. Li} and \textit{A. Naor}, Isr. J. Math. 197, 107--129 (2013; Zbl 1291.46021) Full Text: DOI arXiv
Hanaor, Dorian A. H.; Assadi, Mohammed H. N.; Li, Sean; Yu, Aibing; Sorrell, Charles C. Ab initio study of phase stability in doped TiO\(_{2}\). (English) Zbl 1395.82254 Comput. Mech. 50, No. 2, 185-194 (2012). MSC: 82D37 PDFBibTeX XMLCite \textit{D. A. H. Hanaor} et al., Comput. Mech. 50, No. 2, 185--194 (2012; Zbl 1395.82254) Full Text: DOI arXiv
Li, Sean Compression bounds for wreath products. (English) Zbl 1235.20042 Proc. Am. Math. Soc. 138, No. 8, 2701-2714 (2010). MSC: 20F65 20E22 46C05 20F69 20F05 43A15 51F99 PDFBibTeX XMLCite \textit{S. Li}, Proc. Am. Math. Soc. 138, No. 8, 2701--2714 (2010; Zbl 1235.20042) Full Text: DOI arXiv