Hyde, Matthew A \(d\)-dimensional analyst’s travelling salesman theorem for subsets of Hilbert space. (English) Zbl 07796273 Math. Ann. 388, No. 1, 359-452 (2024). MSC: 28A75 28A78 28A12 PDFBibTeX XMLCite \textit{M. Hyde}, Math. Ann. 388, No. 1, 359--452 (2024; Zbl 07796273) Full Text: DOI arXiv
Shimizu, Ryosuke Construction of \(p\)-energy and associated energy measures on Sierpiński carpets. (English) Zbl 07789107 Trans. Am. Math. Soc. 377, No. 2, 951-1032 (2024). MSC: 28A80 30L99 31E99 46E36 31C45 PDFBibTeX XMLCite \textit{R. Shimizu}, Trans. Am. Math. Soc. 377, No. 2, 951--1032 (2024; Zbl 07789107) Full Text: DOI arXiv
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
Cheeger, Jeff; Eriksson-Bique, Sylvester Thin Loewner carpets and their quasisymmetric embeddings in \(S^2\). (English) Zbl 07779763 Commun. Pure Appl. Math. 76, No. 2, 225-304 (2023). MSC: 30L10 28A80 46E36 46B85 54E35 PDFBibTeX XMLCite \textit{J. Cheeger} and \textit{S. Eriksson-Bique}, Commun. Pure Appl. Math. 76, No. 2, 225--304 (2023; Zbl 07779763) Full Text: DOI arXiv
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
Del Nin, Giacomo; Idu, Kennedy Obinna Geometric criteria for \(C^{1,\alpha}\)-rectifiability. (English) Zbl 07730381 J. Lond. Math. Soc., II. Ser. 105, No. 1, 445-468 (2022). MSC: 28A75 28A78 26A16 PDFBibTeX XMLCite \textit{G. Del Nin} and \textit{K. O. Idu}, J. Lond. Math. Soc., II. Ser. 105, No. 1, 445--468 (2022; Zbl 07730381) Full Text: DOI arXiv
Dąbrowski, Damian Cones, rectifiability, and singular integral operators. (English) Zbl 1502.42009 Rev. Mat. Iberoam. 38, No. 4, 1287-1334 (2022). Reviewer: Sibei Yang (Lanzhou) MSC: 42B20 28A75 28A78 PDFBibTeX XMLCite \textit{D. Dąbrowski}, Rev. Mat. Iberoam. 38, No. 4, 1287--1334 (2022; Zbl 1502.42009) Full Text: DOI arXiv
Graczyk, Jacek; Jones, Peter W.; Mihalache, Nicolae Sublinear measures, Menger curvature, and Hausdorff dimension. (English) Zbl 1515.28004 J. Funct. Anal. 283, No. 4, Article ID 109527, 38 p. (2022). Reviewer: Władysław Wilczyński (Łódź) MSC: 28A75 28A78 30C85 30L05 37F35 PDFBibTeX XMLCite \textit{J. Graczyk} et al., J. Funct. Anal. 283, No. 4, Article ID 109527, 38 p. (2022; Zbl 1515.28004) Full Text: DOI
Bishop, Christopher J. The traveling salesman theorem for Jordan curves. (English) Zbl 1492.28002 Adv. Math. 404, Part A, Article ID 108443, 27 p. (2022). Reviewer: Antoine Julia (Paris) MSC: 28A75 26B15 30L05 42C99 49Q15 PDFBibTeX XMLCite \textit{C. J. Bishop}, Adv. Math. 404, Part A, Article ID 108443, 27 p. (2022; Zbl 1492.28002) Full Text: DOI
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
Mabrouk, Anouar Ben; Farhat, Adel Mixed multifractal densities for quasi-Ahlfors vector-valued measures. (English) Zbl 1495.28012 Fractals 30, No. 1, Article ID 2240003, 12 p. (2022). MSC: 28B05 28A78 28A80 PDFBibTeX XMLCite \textit{A. B. Mabrouk} and \textit{A. Farhat}, Fractals 30, No. 1, Article ID 2240003, 12 p. (2022; Zbl 1495.28012) Full Text: DOI arXiv
Ben Mabrouk, Anouar; Farhat, Adel A mixed multifractal analysis for quasi-Ahlfors vector-valued measures. (English) Zbl 1495.28007 Fractals 30, No. 1, Article ID 2240001, 20 p. (2022). MSC: 28A80 28A78 PDFBibTeX XMLCite \textit{A. Ben Mabrouk} and \textit{A. Farhat}, Fractals 30, No. 1, Article ID 2240001, 20 p. (2022; Zbl 1495.28007) Full Text: DOI arXiv
Hyde, Matthew The restricted content and the \(d\)-dimensional Analyst’s travelling salesman theorem for general sets. (English) Zbl 1503.28006 Adv. Math. 397, Article ID 108189, 77 p. (2022). Reviewer: Władysław Wilczyński (Łódź) MSC: 28A75 28A12 28A78 PDFBibTeX XMLCite \textit{M. Hyde}, Adv. Math. 397, Article ID 108189, 77 p. (2022; Zbl 1503.28006) Full Text: DOI
Goering, Max Characterizations of countably \(n\)-rectifiable Radon measures by higher-dimensional Menger curvatures. (English) Zbl 1485.28003 Real Anal. Exch. 46, No. 1, 1-36 (2021). MSC: 28A75 49Q15 53A07 PDFBibTeX XMLCite \textit{M. Goering}, Real Anal. Exch. 46, No. 1, 1--36 (2021; Zbl 1485.28003) Full Text: DOI arXiv Link
Nguyen, Trang T. T.; Ward, Lesley A. Functions of bounded mean oscillation and quasisymmetric mappings on spaces of homogeneous type. (English) Zbl 1478.42024 J. Geom. Anal. 31, No. 12, 12182-12230 (2021). MSC: 42B35 30L10 42B25 30C65 46B22 28C15 28A20 PDFBibTeX XMLCite \textit{T. T. T. Nguyen} and \textit{L. A. Ward}, J. Geom. Anal. 31, No. 12, 12182--12230 (2021; Zbl 1478.42024) Full Text: DOI arXiv
Azzam, Jonas; Villa, Michele Quantitative comparisons of multiscale geometric properties. (English) Zbl 1484.28001 Anal. PDE 14, No. 6, 1873-1904 (2021). Reviewer: K. P. Hart (Delft) MSC: 28A12 28A75 28A78 PDFBibTeX XMLCite \textit{J. Azzam} and \textit{M. Villa}, Anal. PDE 14, No. 6, 1873--1904 (2021; Zbl 1484.28001) Full Text: DOI arXiv
Fässler, Katrin; Orponen, Tuomas Singular integrals on regular curves in the Heisenberg group. (English. French summary) Zbl 1483.43009 J. Math. Pures Appl. (9) 153, 30-113 (2021). MSC: 43A80 42B20 28A75 35R03 PDFBibTeX XMLCite \textit{K. Fässler} and \textit{T. Orponen}, J. Math. Pures Appl. (9) 153, 30--113 (2021; Zbl 1483.43009) Full Text: DOI arXiv
Goering, Max; Mccurdy, Sean Wild examples of countably rectifiable sets. (English) Zbl 1479.28001 Ann. Fenn. Math. 46, No. 1, 553-570 (2021). MSC: 28A75 28A78 28A80 54F50 PDFBibTeX XMLCite \textit{M. Goering} and \textit{S. Mccurdy}, Ann. Fenn. Math. 46, No. 1, 553--570 (2021; Zbl 1479.28001) Full Text: DOI arXiv
Dąbrowski, Damian Sufficient condition for rectifiability involving Wasserstein distance \(W_2\). (English) Zbl 1477.28003 J. Geom. Anal. 31, No. 8, 8539-8606 (2021). MSC: 28A75 28A78 PDFBibTeX XMLCite \textit{D. Dąbrowski}, J. Geom. Anal. 31, No. 8, 8539--8606 (2021; Zbl 1477.28003) Full Text: DOI arXiv
Prat, Laura; Puliatti, Carmelo; Tolsa, Xavier \(L^2\)-boundedness of gradients of single-layer potentials and uniform rectifiability. (English) Zbl 1473.35148 Anal. PDE 14, No. 3, 717-791 (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J15 28A75 31B15 42B37 PDFBibTeX XMLCite \textit{L. Prat} et al., Anal. PDE 14, No. 3, 717--791 (2021; Zbl 1473.35148) Full Text: DOI arXiv
David, Guy C.; Schul, Raanan A sharp necessary condition for rectifiable curves in metric spaces. (English) Zbl 1467.28002 Rev. Mat. Iberoam. 37, No. 3, 1007-1044 (2021). MSC: 28A75 28C15 PDFBibTeX XMLCite \textit{G. C. David} and \textit{R. Schul}, Rev. Mat. Iberoam. 37, No. 3, 1007--1044 (2021; Zbl 1467.28002) Full Text: DOI arXiv
Chen, Yongxin; Georgiou, Tryphon T.; Pavon, Michele Stochastic control liaisons. Richard Sinkhorn meets Gaspard Monge on a Schrödinger bridge. (English) Zbl 1465.49016 SIAM Rev. 63, No. 2, 249-313 (2021). MSC: 49J55 49Q22 60J60 49J20 35Q35 28A50 PDFBibTeX XMLCite \textit{Y. Chen} et al., SIAM Rev. 63, No. 2, 249--313 (2021; Zbl 1465.49016) Full Text: DOI arXiv
Azzam, Jonas; Tolsa, Xavier; Toro, Tatiana Characterization of rectifiable measures in terms of \(\alpha \)-numbers. (English) Zbl 1454.28001 Trans. Am. Math. Soc. 373, No. 11, 7991-8037 (2020). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28A12 28A75 28A78 PDFBibTeX XMLCite \textit{J. Azzam} et al., Trans. Am. Math. Soc. 373, No. 11, 7991--8037 (2020; Zbl 1454.28001) Full Text: DOI arXiv
Ghinassi, Silvia Sufficient conditions for \(C^{1, \alpha}\) parametrization and rectifiability. (English) Zbl 1447.28002 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1065-1094 (2020). Reviewer: Ivan Podvigin (Novosibirsk) MSC: 28A75 26A16 28A12 28A78 42B99 PDFBibTeX XMLCite \textit{S. Ghinassi}, Ann. Acad. Sci. Fenn., Math. 45, No. 2, 1065--1094 (2020; Zbl 1447.28002) Full Text: DOI arXiv
Ghinassi, Silvia; Goering, Max Menger curvatures and \(C^{1,\alpha}\) rectifiability of measures. (English) Zbl 1439.28005 Arch. Math. 114, No. 4, 419-429 (2020). Reviewer: Suman Panwar (New Delhi) MSC: 28A75 26A16 28A12 28A78 42B99 PDFBibTeX XMLCite \textit{S. Ghinassi} and \textit{M. Goering}, Arch. Math. 114, No. 4, 419--429 (2020; Zbl 1439.28005) Full Text: DOI arXiv
Badger, Matthew Generalized rectifiability of measures and the identification problem. (English) Zbl 1464.28003 Complex Anal. Synerg. 5, No. 1, Paper No. 2, 17 p. (2019). MSC: 28A75 26A16 42B99 54F50 PDFBibTeX XMLCite \textit{M. Badger}, Complex Anal. Synerg. 5, No. 1, Paper No. 2, 17 p. (2019; Zbl 1464.28003) Full Text: DOI arXiv
Menceur, Mohamed; Ben Mabrouk, Anouar A joint multifractal analysis of vector valued non Gibbs measures. (English) Zbl 1448.28005 Chaos Solitons Fractals 126, 203-217 (2019). MSC: 28A78 28A80 60B05 PDFBibTeX XMLCite \textit{M. Menceur} and \textit{A. Ben Mabrouk}, Chaos Solitons Fractals 126, 203--217 (2019; Zbl 1448.28005) Full Text: DOI
Laschos, Vaios; Mielke, Alexander Geometric properties of cones with applications on the Hellinger-Kantorovich space, and a new distance on the space of probability measures. (English) Zbl 1422.60009 J. Funct. Anal. 276, No. 11, 3529-3576 (2019). MSC: 60B05 28A33 46E30 PDFBibTeX XMLCite \textit{V. Laschos} and \textit{A. Mielke}, J. Funct. Anal. 276, No. 11, 3529--3576 (2019; Zbl 1422.60009) 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
Girela-Sarrión, Daniel; Tolsa, Xavier The Riesz transform and quantitative rectifiability for general Radon measures. (English) Zbl 1402.42015 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 16, 63 p. (2018). Reviewer: Vladimir V. Peller (East Lansing) MSC: 42B20 28A75 28A78 49Q20 PDFBibTeX XMLCite \textit{D. Girela-Sarrión} and \textit{X. Tolsa}, Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 16, 63 p. (2018; Zbl 1402.42015) Full Text: DOI arXiv
Badger, Matthew; Schul, Raanan Multiscale analysis of 1-rectifiable measures. II: Characterizations. (English) Zbl 1360.28004 Anal. Geom. Metr. Spaces 5, 1-39 (2017). MSC: 28A75 26A16 42B99 54F50 PDFBibTeX XMLCite \textit{M. Badger} and \textit{R. Schul}, Anal. Geom. Metr. Spaces 5, 1--39 (2017; Zbl 1360.28004) Full Text: DOI arXiv
Tolsa, Xavier Rectifiable measures, square functions involving densities, and the Cauchy transform. (English) Zbl 1380.28005 Mem. Am. Math. Soc. 1158, vi, 130 p. (2016). MSC: 28A75 28A78 42B20 PDFBibTeX XMLCite \textit{X. Tolsa}, Rectifiable measures, square functions involving densities, and the Cauchy transform. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1380.28005) 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
Badger, Matthew; Schul, Raanan Two sufficient conditions for rectifiable measures. (English) Zbl 1345.28004 Proc. Am. Math. Soc. 144, No. 6, 2445-2454 (2016). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 PDFBibTeX XMLCite \textit{M. Badger} and \textit{R. Schul}, Proc. Am. Math. Soc. 144, No. 6, 2445--2454 (2016; Zbl 1345.28004) 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
Tolsa, Xavier Characterization of \(n\)-rectifiability in terms of Jones’ square function. I. (English) Zbl 1416.42014 Calc. Var. Partial Differ. Equ. 54, No. 4, 3643-3665 (2015); correction ibid. 58, No. 1, Paper No. 35, 11 p. (2019). MSC: 42B20 28A75 28A78 PDFBibTeX XMLCite \textit{X. Tolsa}, Calc. Var. Partial Differ. Equ. 54, No. 4, 3643--3665 (2015; Zbl 1416.42014) Full Text: DOI arXiv
Buet, Blanche Quantitative conditions of rectifiability for varifolds. (Conditions quantitative de rectifiabilité dans l’espace des varifolds.) (English. French summary) Zbl 1344.49071 Ann. Inst. Fourier 65, No. 6, 2449-2506 (2015). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q20 49Q15 28A75 PDFBibTeX XMLCite \textit{B. Buet}, Ann. Inst. Fourier 65, No. 6, 2449--2506 (2015; Zbl 1344.49071) Full Text: DOI arXiv
Azzam, Jonas; Tolsa, Xavier Characterization of \(n\)-rectifiability in terms of Jones’ square function. II. (English) Zbl 1334.28010 Geom. Funct. Anal. 25, No. 5, 1371-1412 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A78 PDFBibTeX XMLCite \textit{J. Azzam} and \textit{X. Tolsa}, Geom. Funct. Anal. 25, No. 5, 1371--1412 (2015; Zbl 1334.28010) Full Text: DOI arXiv
David, Guy C. Lusin-type theorems for Cheeger derivatives on metric measure spaces. (English) Zbl 1325.26030 Anal. Geom. Metr. Spaces 3, 296-312 (2015). MSC: 26B05 28A20 30L99 PDFBibTeX XMLCite \textit{G. C. David}, Anal. Geom. Metr. Spaces 3, 296--312 (2015; Zbl 1325.26030) Full Text: DOI arXiv
David, Guy C. Tangents and rectifiability of Ahlfors regular Lipschitz differentiability spaces. (English) Zbl 1318.28008 Geom. Funct. Anal. 25, No. 2, 553-579 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 30L99 53C23 PDFBibTeX XMLCite \textit{G. C. David}, Geom. Funct. Anal. 25, No. 2, 553--579 (2015; Zbl 1318.28008) Full Text: DOI arXiv
Badger, Matthew; Schul, Raanan Multiscale analysis of 1-rectifiable measures: necessary conditions. (English) Zbl 1314.28003 Math. Ann. 361, No. 3-4, 1055-1072 (2015). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 PDFBibTeX XMLCite \textit{M. Badger} and \textit{R. Schul}, Math. Ann. 361, No. 3--4, 1055--1072 (2015; Zbl 1314.28003) Full Text: DOI arXiv
Wang, Wen; Wen, Shengyou On quasisymmetric minimality of Cantor sets. (English) Zbl 1309.28007 Topology Appl. 178, 300-314 (2014). Reviewer: Enrico Zoli (Firenze) MSC: 28A78 28A80 37F35 PDFBibTeX XMLCite \textit{W. Wang} and \textit{S. Wen}, Topology Appl. 178, 300--314 (2014; Zbl 1309.28007) Full Text: DOI
Carrasco Piaggio, Matias Conformal dimension and canonical splittings of hyperbolic groups. (English) Zbl 1300.30100 Geom. Funct. Anal. 24, No. 3, 922-945 (2014). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 30L10 51F99 20F67 28A78 PDFBibTeX XMLCite \textit{M. Carrasco Piaggio}, Geom. Funct. Anal. 24, No. 3, 922--945 (2014; Zbl 1300.30100) Full Text: DOI arXiv
Mackay, John M.; Tyson, Jeremy T.; Wildrick, Kevin Modulus and Poincaré inequalities on non-self-similar Sierpiński carpets. (English) Zbl 1271.30032 Geom. Funct. Anal. 23, No. 3, 985-1034 (2013). Reviewer: Daniel Aalto (Åbo) MSC: 30L99 31E05 28A80 PDFBibTeX XMLCite \textit{J. M. Mackay} et al., Geom. Funct. Anal. 23, No. 3, 985--1034 (2013; Zbl 1271.30032) Full Text: DOI arXiv
Chousionis, Vasilis; Mattila, Pertti Singular integrals on self-similar subsets of metric groups. (English) Zbl 1268.28004 Barral, Julien (ed.) et al., Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8399-3/hbk; 978-0-8176-8400-6/ebook). Trends in Mathematics, 47-61 (2013). MSC: 28A78 35R03 28A80 PDFBibTeX XMLCite \textit{V. Chousionis} and \textit{P. Mattila}, in: Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer. 47--61 (2013; Zbl 1268.28004) Full Text: DOI
Kolasiński, Sławomir; Szumańska, Marta Minimal Hölder regularity implying finiteness of integral Menger curvature. (English) Zbl 1263.49053 Manuscr. Math. 141, No. 1-2, 125-147 (2013). MSC: 49Q10 49Q20 28A75 PDFBibTeX XMLCite \textit{S. Kolasiński} and \textit{M. Szumańska}, Manuscr. Math. 141, No. 1--2, 125--147 (2013; Zbl 1263.49053) Full Text: DOI arXiv
Bertrand, Jérôme; Kloeckner, Benoît A geometric study of Wasserstein spaces: Hadamard spaces. (English) Zbl 1263.53026 J. Topol. Anal. 4, No. 4, 515-542 (2012). MSC: 53C20 28A33 60B05 PDFBibTeX XMLCite \textit{J. Bertrand} and \textit{B. Kloeckner}, J. Topol. Anal. 4, No. 4, 515--542 (2012; Zbl 1263.53026) Full Text: DOI arXiv
Durand-Cartagena, Estibalitz; Shanmugalingam, Nageswari; Williams, Alex \(p\)-Poincaré inequality versus \(\infty \)-Poincaré inequality: some counterexamples. (English) Zbl 1255.46015 Math. Z. 271, No. 1-2, 447-467 (2012). Reviewer: Denise Huet (Nancy) MSC: 46E35 30L10 52A01 31E05 28A80 PDFBibTeX XMLCite \textit{E. Durand-Cartagena} et al., Math. Z. 271, No. 1--2, 447--467 (2012; Zbl 1255.46015) Full Text: DOI
Piaggio, Matias Carrasco Conformal dimension and combinatorial modulus of compact metric spaces. (English. Abridged French version) Zbl 1256.30054 C. R., Math., Acad. Sci. Paris 350, No. 3-4, 141-145 (2012). Reviewer: Kevin Pilgrim (Bloomington) MSC: 30L10 20F67 28A78 37F35 PDFBibTeX XMLCite \textit{M. C. Piaggio}, C. R., Math., Acad. Sci. Paris 350, No. 3--4, 141--145 (2012; Zbl 1256.30054) Full Text: DOI
David, Guy; Toro, Tatiana Reifenberg parameterizations for sets with holes. (English. French summary) Zbl 1236.28002 Mem. Am. Math. Soc. 1012, v, 102 p. (2012). Reviewer: Andrew Bucki (Edmond) MSC: 28A75 49Q05 49Q20 49K99 PDFBibTeX XMLCite \textit{G. David} and \textit{T. Toro}, Reifenberg parameterizations for sets with holes. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1236.28002) Full Text: DOI arXiv
Kinnunen, Juha; Korte, Riikka; Shanmugalingam, Nageswari; Tuominen, Heli A characterization of Newtonian functions with zero boundary values. (English) Zbl 1238.31008 Calc. Var. Partial Differ. Equ. 43, No. 3-4, 507-528 (2012). Reviewer: Leonid Kovalev (Syracuse) MSC: 31E05 46E35 28A12 26B30 PDFBibTeX XMLCite \textit{J. Kinnunen} et al., Calc. Var. Partial Differ. Equ. 43, No. 3--4, 507--528 (2012; Zbl 1238.31008) Full Text: DOI
Lerman, Gilad; Whitehouse, J. Tyler High-dimensional Menger-type curvatures. I: Geometric multipoles and multiscale inequalities. (English) Zbl 1232.28007 Rev. Mat. Iberoam. 27, No. 2, 493-555 (2011). Reviewer: D. R. Bell (Jacksonville) MSC: 28A75 42C99 60D05 PDFBibTeX XMLCite \textit{G. Lerman} and \textit{J. T. Whitehouse}, Rev. Mat. Iberoam. 27, No. 2, 493--555 (2011; Zbl 1232.28007) Full Text: DOI arXiv Euclid
Prat, Laura Principal values for the signed Riesz kernels of non-integer dimension. (English) Zbl 1225.42007 Rocky Mt. J. Math. 41, No. 3, 869-883 (2011). Reviewer: Luc Deleaval (Paris) MSC: 42B20 28A75 PDFBibTeX XMLCite \textit{L. Prat}, Rocky Mt. J. Math. 41, No. 3, 869--883 (2011; Zbl 1225.42007) Full Text: DOI
Chousionis, Vasilis; Mattila, Pertti Singular integrals on Ahlfors-David regular subsets of the Heisenberg group. (English) Zbl 1218.42006 J. Geom. Anal. 21, No. 1, 56-77 (2011). Reviewer: Vitaly Vladimirovich Volchkov (Donetsk) MSC: 42B20 28A75 PDFBibTeX XMLCite \textit{V. Chousionis} and \textit{P. Mattila}, J. Geom. Anal. 21, No. 1, 56--77 (2011; Zbl 1218.42006) Full Text: DOI arXiv Link
Strzelecki, Paweł; von der Mosel, Heiko Integral Menger curvature for surfaces. (English) Zbl 1211.28003 Adv. Math. 226, No. 3, 2233-2304 (2011). Reviewer: D. R. Bell (Jacksonville) MSC: 28A75 49Q10 49Q20 53A05 53C21 46E35 PDFBibTeX XMLCite \textit{P. Strzelecki} and \textit{H. von der Mosel}, Adv. Math. 226, No. 3, 2233--2304 (2011; Zbl 1211.28003) Full Text: DOI arXiv
Juillet, Nicolas A counterexample for the geometric traveling salesman problem in the Heisenberg group. (English) Zbl 1206.28003 Rev. Mat. Iberoam. 26, No. 3, 1035-1056 (2010). Reviewer: George Stoica (Saint John) MSC: 28A75 PDFBibTeX XMLCite \textit{N. Juillet}, Rev. Mat. Iberoam. 26, No. 3, 1035--1056 (2010; Zbl 1206.28003) Full Text: DOI Euclid
Merenkov, Sergei A Sierpiński carpet with the co-Hopfian property. (English) Zbl 1194.37044 Invent. Math. 180, No. 2, 361-388 (2010). Reviewer: Yuang-Ling Ye (Guangzhou) MSC: 37D35 28A80 PDFBibTeX XMLCite \textit{S. Merenkov}, Invent. Math. 180, No. 2, 361--388 (2010; Zbl 1194.37044) Full Text: DOI arXiv
Järvenpää, Esa; Järvenpää, Maarit; Rogovin, Kevin; Rogovin, Sari; Shanmugalingam, Nageswari Measurability of equivalence classes and MEC\(_p\)-property. (English) Zbl 1146.28001 Rev. Mat. Iberoam. 23, No. 3, 811-830 (2007). Reviewer: Tamás Mátrai (Toronto) MSC: 28A05 28A20 54E40 54H05 03E15 PDFBibTeX XMLCite \textit{E. Järvenpää} et al., Rev. Mat. Iberoam. 23, No. 3, 811--830 (2007; Zbl 1146.28001) Full Text: DOI Euclid
Schul, Raanan Subsets of rectifiable curves in Hilbert space-the analyst’s TSP. (English) Zbl 1152.28006 J. Anal. Math. 103, 331-375 (2007). Reviewer: D. R. Bell (Jacksonville) MSC: 28A75 49Q15 54F45 PDFBibTeX XMLCite \textit{R. Schul}, J. Anal. Math. 103, 331--375 (2007; Zbl 1152.28006) Full Text: DOI arXiv
Ferrari, Fausto; Franchi, Bruno; Pajot, Hervé The geometric traveling salesman problem in the Heisenberg group. (English) Zbl 1142.28004 Rev. Mat. Iberoam. 23, No. 2, 437-480 (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 28A75 43A80 PDFBibTeX XMLCite \textit{F. Ferrari} et al., Rev. Mat. Iberoam. 23, No. 2, 437--480 (2007; Zbl 1142.28004) Full Text: DOI Euclid EuDML
Heinonen, Juha Nonsmooth calculus. (English) Zbl 1124.28003 Bull. Am. Math. Soc., New Ser. 44, No. 2, 163-232 (2007). Reviewer: D. R. Bell (Jacksonville) MSC: 28A75 49J52 53C23 51-02 PDFBibTeX XMLCite \textit{J. Heinonen}, Bull. Am. Math. Soc., New Ser. 44, No. 2, 163--232 (2007; Zbl 1124.28003) Full Text: DOI
Kovalev, Leonid V. Conformal dimension does not assume values between zero and one. (English) Zbl 1104.28002 Duke Math. J. 134, No. 1, 1-13 (2006). Reviewer: Sergei V. Rogosin (Minsk) MSC: 28A78 PDFBibTeX XMLCite \textit{L. V. Kovalev}, Duke Math. J. 134, No. 1, 1--13 (2006; Zbl 1104.28002) Full Text: DOI
Keith, Stephen A differentiable structure for metric measure spaces. (English) Zbl 1077.46027 Adv. Math. 183, No. 2, 271-315 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 46E35 28A75 PDFBibTeX XMLCite \textit{S. Keith}, Adv. Math. 183, No. 2, 271--315 (2004; Zbl 1077.46027) Full Text: DOI
Lerman, Gilad Quantifying curvelike structures of measures by using \(L _{2}\) Jones quantities. (English) Zbl 1076.28005 Commun. Pure Appl. Math. 56, No. 9, 1294-1365 (2003). Reviewer: Vladimir Pestov (Ottawa, Ontario) MSC: 28A75 28A78 68P20 49Q15 30C85 PDFBibTeX XMLCite \textit{G. Lerman}, Commun. Pure Appl. Math. 56, No. 9, 1294--1365 (2003; Zbl 1076.28005) Full Text: DOI
Tyson, Jeremy T. Metric and geometric quasiconformality in Ahlfors regular Loewner spaces. (English) Zbl 0981.30015 Conform. Geom. Dyn. 5, 21-73 (2001). MSC: 30C65 28A78 46E35 43A85 PDFBibTeX XMLCite \textit{J. T. Tyson}, Conform. Geom. Dyn. 5, 21--73 (2001; Zbl 0981.30015) Full Text: DOI
Hanson, Bruce; Heinonen, Juha An \(n\)-dimensional space that admits a Poincaré inequality but has no manifold points. (English) Zbl 0954.43005 Proc. Am. Math. Soc. 128, No. 11, 3379-3390 (2000). Reviewer: O.Martio (Helsinki) MSC: 43A85 28A75 PDFBibTeX XMLCite \textit{B. Hanson} and \textit{J. Heinonen}, Proc. Am. Math. Soc. 128, No. 11, 3379--3390 (2000; Zbl 0954.43005) Full Text: DOI
Pajot, Hervé Quantitative conditions of rectifiability. (Conditions quantitatives de rectifiabilité.) (French) Zbl 0890.28004 Bull. Soc. Math. Fr. 125, No. 1, 15-53 (1997). Reviewer: O.Svensson (Lulea) MSC: 28A75 PDFBibTeX XMLCite \textit{H. Pajot}, Bull. Soc. Math. Fr. 125, No. 1, 15--53 (1997; Zbl 0890.28004) Full Text: DOI Numdam EuDML