Oudot, Steve; Scoccola, Luis On the stability of multigraded Betti numbers and Hilbert functions. (English) Zbl 07809838 SIAM J. Appl. Algebra Geom. 8, No. 1, 54-88 (2024). MSC: 55N31 62R40 PDFBibTeX XMLCite \textit{S. Oudot} and \textit{L. Scoccola}, SIAM J. Appl. Algebra Geom. 8, No. 1, 54--88 (2024; Zbl 07809838) Full Text: DOI arXiv
Maria, Clément; Schreiber, Hannah Discrete Morse theory for computing zigzag persistence. (English) Zbl 07802607 Discrete Comput. Geom. 71, No. 2, 708-737 (2024). MSC: 55N31 PDFBibTeX XMLCite \textit{C. Maria} and \textit{H. Schreiber}, Discrete Comput. Geom. 71, No. 2, 708--737 (2024; Zbl 07802607) Full Text: DOI
Fersztand, Marc; Nanda, Vidit; Tillmann, Ulrike Harder-Narasimhan filtrations and zigzag persistence. (English) Zbl 07796448 Adv. Appl. Math. 153, Article ID 102634, 31 p. (2024). MSC: 16G20 55N30 55N31 PDFBibTeX XMLCite \textit{M. Fersztand} et al., Adv. Appl. Math. 153, Article ID 102634, 31 p. (2024; Zbl 07796448) Full Text: DOI arXiv
Dey, Tamal K.; Kim, Woojin; Mémoli, Facundo Computing generalized rank invariant for 2-parameter persistence modules via zigzag persistence and its applications. (English) Zbl 07785740 Discrete Comput. Geom. 71, No. 1, 67-94 (2024). MSC: 16G20 55N31 62R40 68U05 PDFBibTeX XMLCite \textit{T. K. Dey} et al., Discrete Comput. Geom. 71, No. 1, 67--94 (2024; Zbl 07785740) Full Text: DOI arXiv OA License
Curry, Justin; DeSha, Jordan; Garin, Adélie; Hess, Kathryn; Kanari, Lida; Mallery, Brendan From trees to barcodes and back again. II: Combinatorial and probabilistic aspects of a topological inverse problem. (English) Zbl 07738810 Comput. Geom. 116, Article ID 102031, 28 p. (2024). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 PDFBibTeX XMLCite \textit{J. Curry} et al., Comput. Geom. 116, Article ID 102031, 28 p. (2024; Zbl 07738810) Full Text: DOI arXiv
Giusti, Chad; Lee, Darrick Signatures, Lipschitz-free spaces, and paths of persistence diagrams. (English) Zbl 07789573 SIAM J. Appl. Algebra Geom. 7, No. 4, 828-866 (2023). MSC: 55N31 60L10 PDFBibTeX XMLCite \textit{C. Giusti} and \textit{D. Lee}, SIAM J. Appl. Algebra Geom. 7, No. 4, 828--866 (2023; Zbl 07789573) Full Text: DOI arXiv
Botnan, Magnus B.; Lebovici, Vadim; Oudot, Steve Local characterizations for decomposability of 2-parameter persistence modules. (English) Zbl 07787997 Algebr. Represent. Theory 26, No. 6, 3003-3046 (2023). MSC: 16G20 55N31 PDFBibTeX XMLCite \textit{M. B. Botnan} et al., Algebr. Represent. Theory 26, No. 6, 3003--3046 (2023; Zbl 07787997) Full Text: DOI arXiv
Geist, Nathan; Miller, Ezra Global dimension of real-exponent polynomial rings. (English) Zbl 07783165 Algebra Number Theory 17, No. 10, 1779-1788 (2023). MSC: 13D05 13F20 13P25 06F05 13D02 14A22 55N31 62R40 PDFBibTeX XMLCite \textit{N. Geist} and \textit{E. Miller}, Algebra Number Theory 17, No. 10, 1779--1788 (2023; Zbl 07783165) Full Text: DOI arXiv
Berkouk, Nicolas Persistence and the sheaf-function correspondence. (English) Zbl 07781653 Forum Math. Sigma 11, Paper No. e113, 20 p. (2023). MSC: 55N31 35A27 13D15 PDFBibTeX XMLCite \textit{N. Berkouk}, Forum Math. Sigma 11, Paper No. e113, 20 p. (2023; Zbl 07781653) Full Text: DOI arXiv OA License
Blumberg, Andrew J.; Lesnick, Michael Universality of the homotopy interleaving distance. (English) Zbl 07772560 Trans. Am. Math. Soc. 376, No. 12, 8269-8307 (2023). MSC: 55N31 55P99 55U99 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. Lesnick}, Trans. Am. Math. Soc. 376, No. 12, 8269--8307 (2023; Zbl 07772560) Full Text: DOI arXiv
Ethier, Marc; Frosini, Patrizio; Quercioli, Nicola; Tombari, Francesca Geometry of the matching distance for 2D filtering functions. (English) Zbl 07772365 J. Appl. Comput. Topol. 7, No. 4, 815-830 (2023). MSC: 55N31 57R19 PDFBibTeX XMLCite \textit{M. Ethier} et al., J. Appl. Comput. Topol. 7, No. 4, 815--830 (2023; Zbl 07772365) Full Text: DOI arXiv OA License
Méndez, David; Sánchez-García, Rubén J. A directed persistent homology theory for dissimilarity functions. (English) Zbl 1528.55004 J. Appl. Comput. Topol. 7, No. 4, 771-813 (2023). Reviewer: Philippe Gaucher (Paris) MSC: 55N31 55N35 55U10 16Y60 PDFBibTeX XMLCite \textit{D. Méndez} and \textit{R. J. Sánchez-García}, J. Appl. Comput. Topol. 7, No. 4, 771--813 (2023; Zbl 1528.55004) Full Text: DOI arXiv OA License
Obayashi, Ippei Stable volumes for persistent homology. (English) Zbl 07772361 J. Appl. Comput. Topol. 7, No. 4, 671-706 (2023). MSC: 55N31 62R40 55-04 55-08 PDFBibTeX XMLCite \textit{I. Obayashi}, J. Appl. Comput. Topol. 7, No. 4, 671--706 (2023; Zbl 07772361) Full Text: DOI arXiv OA License
Escolar, Emerson G.; Meehan, Killian; Yoshiwaki, Michio Interleavings and matchings as representations. (English) Zbl 07757138 Appl. Algebra Eng. Commun. Comput. 34, No. 6, 965-993 (2023). MSC: 16G20 55N99 PDFBibTeX XMLCite \textit{E. G. Escolar} et al., Appl. Algebra Eng. Commun. Comput. 34, No. 6, 965--993 (2023; Zbl 07757138) Full Text: DOI arXiv
Petit, François; Schapira, Pierre Thickening of the diagonal and interleaving distance. (English) Zbl 07746699 Sel. Math., New Ser. 29, No. 5, Paper No. 70, 42 p. (2023). MSC: 55N99 55N31 18A99 35A27 PDFBibTeX XMLCite \textit{F. Petit} and \textit{P. Schapira}, Sel. Math., New Ser. 29, No. 5, Paper No. 70, 42 p. (2023; Zbl 07746699) Full Text: DOI arXiv
Yoon, Hee Rhang; Ghrist, Robert; Giusti, Chad Persistent extensions and analogous bars: data-induced relations between persistence barcodes. (English) Zbl 07739456 J. Appl. Comput. Topol. 7, No. 3, 571-617 (2023). MSC: 55N31 68T09 PDFBibTeX XMLCite \textit{H. R. Yoon} et al., J. Appl. Comput. Topol. 7, No. 3, 571--617 (2023; Zbl 07739456) Full Text: DOI arXiv
Perea, Jose A.; Munch, Elizabeth; Khasawneh, Firas A. Approximating continuous functions on persistence diagrams using template functions. (English) Zbl 07735211 Found. Comput. Math. 23, No. 4, 1215-1272 (2023). MSC: 55N31 30L05 68T05 PDFBibTeX XMLCite \textit{J. A. Perea} et al., Found. Comput. Math. 23, No. 4, 1215--1272 (2023; Zbl 07735211) Full Text: DOI arXiv
Franc, Aleksandra; Virk, Žiga Rigidity of terminal simplices in persistent homology. (English) Zbl 07733897 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 141, 16 p. (2023). Reviewer: Shiquan Ren (Singapore) MSC: 55N31 PDFBibTeX XMLCite \textit{A. Franc} and \textit{Ž. Virk}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 4, Paper No. 141, 16 p. (2023; Zbl 07733897) Full Text: DOI arXiv
Chachólski, Wojciech; De Gregorio, Alessandro; Quercioli, Nicola; Tombari, Francesca Symmetries of data sets and functoriality of persistent homology. (English) Zbl 07731059 Theory Appl. Categ. 39, 667-686 (2023). MSC: 55N31 62R40 68T09 18D25 PDFBibTeX XMLCite \textit{W. Chachólski} et al., Theory Appl. Categ. 39, 667--686 (2023; Zbl 07731059) Full Text: arXiv Link
Corbet, René; Kerber, Michael; Lesnick, Michael; Osang, Georg Computing the multicover bifiltration. (English) Zbl 1527.55006 Discrete Comput. Geom. 70, No. 2, 376-405 (2023). Reviewer: Alvin Jin (Cambridge, MA) MSC: 55N31 PDFBibTeX XMLCite \textit{R. Corbet} et al., Discrete Comput. Geom. 70, No. 2, 376--405 (2023; Zbl 1527.55006) Full Text: DOI arXiv
Shukla, Samir On Vietoris-Rips complexes (with scale 3) of hypercube graphs. (English) Zbl 07725058 SIAM J. Discrete Math. 37, No. 3, 1472-1495 (2023). MSC: 05E45 55U10 55N31 PDFBibTeX XMLCite \textit{S. Shukla}, SIAM J. Discrete Math. 37, No. 3, 1472--1495 (2023; Zbl 07725058) Full Text: DOI arXiv
Bubenik, Peter; Scott, Jonathan; Stanley, Donald Exact weights, path metrics, and algebraic Wasserstein distances. (English) Zbl 1522.55007 J. Appl. Comput. Topol. 7, No. 2, 185-219 (2023). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 18E10 PDFBibTeX XMLCite \textit{P. Bubenik} et al., J. Appl. Comput. Topol. 7, No. 2, 185--219 (2023; Zbl 1522.55007) Full Text: DOI arXiv
Gonzalez-Diaz, R.; Soriano-Trigueros, M.; Torras-Casas, A. Partial matchings induced by morphisms between persistence modules. (English) Zbl 07701319 Comput. Geom. 112, Article ID 101985, 19 p. (2023). MSC: 55N31 55N35 16G20 68U05 16G10 PDFBibTeX XMLCite \textit{R. Gonzalez-Diaz} et al., Comput. Geom. 112, Article ID 101985, 19 p. (2023; Zbl 07701319) Full Text: DOI arXiv
Bergomi, Mattia G.; Ferri, Massimo; Tavaglione, Antonella Steady and ranging sets in graph persistence. (English) Zbl 07700997 J. Appl. Comput. Topol. 7, No. 1, 33-56 (2023). MSC: 55N31 05C10 05C22 68R10 PDFBibTeX XMLCite \textit{M. G. Bergomi} et al., J. Appl. Comput. Topol. 7, No. 1, 33--56 (2023; Zbl 07700997) Full Text: DOI arXiv
Guidolin, Andrea; Landi, Claudia Morse inequalities for the Koszul complex of multi-persistence. (English) Zbl 07663835 J. Pure Appl. Algebra 227, No. 7, Article ID 107319, 26 p. (2023). MSC: 55N31 55U15 13D02 57Q70 PDFBibTeX XMLCite \textit{A. Guidolin} and \textit{C. Landi}, J. Pure Appl. Algebra 227, No. 7, Article ID 107319, 26 p. (2023; Zbl 07663835) Full Text: DOI arXiv
Hang, Haibin; Mio, Washington Correspondence modules and persistence sheaves: a unifying perspective on one-parameter persistent homology. (English) Zbl 1518.55003 Japan J. Ind. Appl. Math. 40, No. 1, 41-93 (2023). Reviewer: Henri Riihimäki (Stockholm) MSC: 55N31 62R40 18F20 PDFBibTeX XMLCite \textit{H. Hang} and \textit{W. Mio}, Japan J. Ind. Appl. Math. 40, No. 1, 41--93 (2023; Zbl 1518.55003) Full Text: DOI arXiv
Fugacci, Ulderico; Kerber, Michael; Rolle, Alexander Compression for \(2\)-parameter persistent homology. (English) Zbl 1520.55007 Comput. Geom. 109, Article ID 101940, 28 p. (2023). Reviewer: Beatrice Bleile (Armidale) MSC: 55N31 68U05 55U15 PDFBibTeX XMLCite \textit{U. Fugacci} et al., Comput. Geom. 109, Article ID 101940, 28 p. (2023; Zbl 1520.55007) Full Text: DOI arXiv
Lawson, Austin; Hoffman, Tyler; Chung, Yu-Min; Keegan, Kaitlin; Day, Sarah A density-based approach to feature detection in persistence diagrams for firn data. (English) Zbl 07805162 Found. Data Sci. 4, No. 4, 623-639 (2022). MSC: 55N31 62R40 62H30 PDFBibTeX XMLCite \textit{A. Lawson} et al., Found. Data Sci. 4, No. 4, 623--639 (2022; Zbl 07805162) Full Text: DOI
Duchin, Moon; Needham, Tom; Weighill, Thomas The (homological) persistence of gerrymandering. (English) Zbl 07805161 Found. Data Sci. 4, No. 4, 581-622 (2022). MSC: 62R40 55N31 68T09 PDFBibTeX XMLCite \textit{M. Duchin} et al., Found. Data Sci. 4, No. 4, 581--622 (2022; Zbl 07805161) Full Text: DOI arXiv
Adams, Henry; Coskunuzer, Baris Geometric approaches to persistent homology. (English) Zbl 07673260 SIAM J. Appl. Algebra Geom. 6, No. 4, 685-710 (2022). Reviewer: Haibin Hang (Middletown) MSC: 55N31 55U10 57R19 62R40 PDFBibTeX XMLCite \textit{H. Adams} and \textit{B. Coskunuzer}, SIAM J. Appl. Algebra Geom. 6, No. 4, 685--710 (2022; Zbl 07673260) Full Text: DOI arXiv
Botnan, Magnus Bakke; Lebovici, Vadim; Oudot, Steve On rectangle-decomposable 2-parameter persistence modules. (English) Zbl 1508.55003 Discrete Comput. Geom. 68, No. 4, 1078-1101 (2022). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 68R99 PDFBibTeX XMLCite \textit{M. B. Botnan} et al., Discrete Comput. Geom. 68, No. 4, 1078--1101 (2022; Zbl 1508.55003) Full Text: DOI arXiv
Vaccarino, Francesco; Fugacci, Ulderico; Scaramuccia, Sara Persistent homology: a topological tool for higher-interaction systems. (English) Zbl 1505.55013 Battiston, Federico (ed.) et al., Higher-order systems. Cham: Springer. Underst. Complex Syst., 97-139 (2022). MSC: 55N31 55-02 PDFBibTeX XMLCite \textit{F. Vaccarino} et al., in: Higher-order systems. Cham: Springer. 97--139 (2022; Zbl 1505.55013) Full Text: DOI
Bapat, Asilata; Brooks, Robyn; Hacker, Celia; Landi, Claudia; Mahler, Barbara I. Morse-based fibering of the persistence rank invariant. (English) Zbl 1507.55006 Gasparovic, Ellen (ed.) et al., Research in computational topology 2. Proceedings of the second women in computational topology, WinCompTop, research collaboration workshop, Mathematical Sciences Institute, MSI, Australian National University, ANU, Canberra, Australia, July 1–5, 2019. Cham: Springer. Assoc. Women Math. Ser. 30, 27-62 (2022). Reviewer: Jason Hanson (Redmond) MSC: 55N31 57Q70 55-08 PDFBibTeX XMLCite \textit{A. Bapat} et al., Assoc. Women Math. Ser. 30, 27--62 (2022; Zbl 1507.55006) Full Text: DOI arXiv
Curry, Justin; Hang, Haibin; Mio, Washington; Needham, Tom; Okutan, Osman Berat Decorated merge trees for persistent topology. (English) Zbl 1525.55006 J. Appl. Comput. Topol. 6, No. 3, 371-428 (2022). Reviewer: Julian Brüggemann (Bonn) MSC: 55N31 PDFBibTeX XMLCite \textit{J. Curry} et al., J. Appl. Comput. Topol. 6, No. 3, 371--428 (2022; Zbl 1525.55006) Full Text: DOI arXiv
Dey, Tamal K.; Xin, Cheng Generalized persistence algorithm for decomposing multiparameter persistence modules. (English) Zbl 1502.55005 J. Appl. Comput. Topol. 6, No. 3, 271-322 (2022). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 55-08 PDFBibTeX XMLCite \textit{T. K. Dey} and \textit{C. Xin}, J. Appl. Comput. Topol. 6, No. 3, 271--322 (2022; Zbl 1502.55005) Full Text: DOI arXiv
Virk, Žiga Contractions in persistence and metric graphs. (English) Zbl 1518.55006 Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2003-2016 (2022). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 55U05 51F30 PDFBibTeX XMLCite \textit{Ž. Virk}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 5, 2003--2016 (2022; Zbl 1518.55006) Full Text: DOI arXiv
Leygonie, Jacob; Oudot, Steve; Tillmann, Ulrike A framework for differential calculus on persistence barcodes. (English) Zbl 1507.55008 Found. Comput. Math. 22, No. 4, 1069-1131 (2022). Reviewer: Bastian Rieck (Bern) MSC: 55N31 62R40 68T09 PDFBibTeX XMLCite \textit{J. Leygonie} et al., Found. Comput. Math. 22, No. 4, 1069--1131 (2022; Zbl 1507.55008) Full Text: DOI arXiv
Leygonie, Jacob; Tillmann, Ulrike The fiber of persistent homology for simplicial complexes. (English) Zbl 1502.55006 J. Pure Appl. Algebra 226, No. 12, Article ID 107099, 45 p. (2022). Reviewer: Jun Zhang (Hefei) MSC: 55N31 62R40 55U10 52B05 PDFBibTeX XMLCite \textit{J. Leygonie} and \textit{U. Tillmann}, J. Pure Appl. Algebra 226, No. 12, Article ID 107099, 45 p. (2022; Zbl 1502.55006) Full Text: DOI arXiv
Adamaszek, Michał; Adams, Henry On Vietoris-Rips complexes of hypercube graphs. (English) Zbl 1490.05279 J. Appl. Comput. Topol. 6, No. 2, 177-192 (2022). MSC: 05E45 55P10 55U10 55N31 PDFBibTeX XMLCite \textit{M. Adamaszek} and \textit{H. Adams}, J. Appl. Comput. Topol. 6, No. 2, 177--192 (2022; Zbl 1490.05279) Full Text: DOI arXiv
Xian, Lu; Adams, Henry; Topaz, Chad M.; Ziegelmeier, Lori Capturing dynamics of time-varying data via topology. (English) Zbl 1501.37084 Found. Data Sci. 4, No. 1, 1-36 (2022). MSC: 37M99 55N31 62R40 PDFBibTeX XMLCite \textit{L. Xian} et al., Found. Data Sci. 4, No. 1, 1--36 (2022; Zbl 1501.37084) Full Text: DOI arXiv
Bubenik, Peter; Elchesen, Alex Universality of persistence diagrams and the bottleneck and Wasserstein distances. (English) Zbl 1504.55004 Comput. Geom. 105-106, Article ID 101882, 18 p. (2022). Reviewer: Henri Riihimäki (Stockholm) MSC: 55N31 PDFBibTeX XMLCite \textit{P. Bubenik} and \textit{A. Elchesen}, Comput. Geom. 105--106, Article ID 101882, 18 p. (2022; Zbl 1504.55004) Full Text: DOI arXiv
Asashiba, Hideto; Buchet, Mickaël; Escolar, Emerson G.; Nakashima, Ken; Yoshiwaki, Michio On interval decomposability of \(2\)D persistence modules. (English) Zbl 1502.55004 Comput. Geom. 105-106, Article ID 101879, 33 p. (2022). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 68U03 PDFBibTeX XMLCite \textit{H. Asashiba} et al., Comput. Geom. 105--106, Article ID 101879, 33 p. (2022; Zbl 1502.55004) Full Text: DOI arXiv
Lesnick, Michael; Wright, Matthew Computing minimal presentations and bigraded Betti numbers of 2-parameter persistent homology. (English) Zbl 1498.55006 SIAM J. Appl. Algebra Geom. 6, No. 2, 267-298 (2022). Reviewer: Jason Hanson (Redmond) MSC: 55N31 13D02 PDFBibTeX XMLCite \textit{M. Lesnick} and \textit{M. Wright}, SIAM J. Appl. Algebra Geom. 6, No. 2, 267--298 (2022; Zbl 1498.55006) Full Text: DOI arXiv
Belchí, Francisco; Stefanou, Anastasios \(A_\infty\) persistent homology estimates detailed topology from pointcloud datasets. (English) Zbl 1496.55005 Discrete Comput. Geom. 68, No. 1, 274-297 (2022). Reviewer: Jelena Grbić (Southampton) MSC: 55N31 62-00 68U01 55Uxx PDFBibTeX XMLCite \textit{F. Belchí} and \textit{A. Stefanou}, Discrete Comput. Geom. 68, No. 1, 274--297 (2022; Zbl 1496.55005) Full Text: DOI
Lazovskis, Jānis Stratifications on the Ran space. (English) Zbl 1509.55003 Order 39, No. 1, 143-158 (2022). Reviewer: Najib Idrissi (Paris) MSC: 55N31 57Q15 55R80 57N80 PDFBibTeX XMLCite \textit{J. Lazovskis}, Order 39, No. 1, 143--158 (2022; Zbl 1509.55003) Full Text: DOI arXiv
Wu, Min-Chun; Itskov, Vladimir A topological approach to inferring the intrinsic dimension of convex sensing data. (English) Zbl 1484.62133 J. Appl. Comput. Topol. 6, No. 1, 127-176 (2022). MSC: 62R40 55N31 PDFBibTeX XMLCite \textit{M.-C. Wu} and \textit{V. Itskov}, J. Appl. Comput. Topol. 6, No. 1, 127--176 (2022; Zbl 1484.62133) Full Text: DOI arXiv
Berkouk, Nicolas; Ginot, Grégory A derived isometry theorem for sheaves. (English) Zbl 1487.55007 Adv. Math. 394, Article ID 108033, 39 p. (2022). Reviewer: Yuichi Ike (Tokyo) MSC: 55N31 18G80 35A27 PDFBibTeX XMLCite \textit{N. Berkouk} and \textit{G. Ginot}, Adv. Math. 394, Article ID 108033, 39 p. (2022; Zbl 1487.55007) Full Text: DOI arXiv
Kashiwara, Masaki; Schapira, Pierre Piecewise linear sheaves. (English) Zbl 1494.55010 Int. Math. Res. Not. 2021, No. 15, 11565-11584 (2021). Reviewer: Jun Zhang (Montréal) MSC: 55N31 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{P. Schapira}, Int. Math. Res. Not. 2021, No. 15, 11565--11584 (2021; Zbl 1494.55010) Full Text: DOI arXiv
Berkouk, Nicolas Algebraic homotopy interleaving distance. (English) Zbl 1486.55010 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 656-664 (2021). MSC: 55N31 55U10 PDFBibTeX XMLCite \textit{N. Berkouk}, Lect. Notes Comput. Sci. 12829, 656--664 (2021; Zbl 1486.55010) Full Text: DOI
Cerri, Andrea; Frosini, Patrizio A brief introduction to multidimensional persistent Betti numbers. (English) Zbl 1480.55004 Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 215-228 (2021). MSC: 55N31 57R19 65D18 68U05 62R40 55-02 PDFBibTeX XMLCite \textit{A. Cerri} and \textit{P. Frosini}, Springer Proc. Math. Stat. 350, 215--228 (2021; Zbl 1480.55004) Full Text: DOI
Adams, Henry; Bush, Johnathan; Mirth, Joshua Operations on metric thickenings. (English) Zbl 1487.55006 Spivak, David I. (ed.) et al., Proceedings of the 3rd annual international applied category theory conference 2020, ACT 2020, Cambridge, USA, July 6–10, 2020. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 333, 261-275 (2021). Reviewer: Ziga Virk (Ljubljana) MSC: 55N31 54E35 55P10 55U10 05E45 18F99 PDFBibTeX XMLCite \textit{H. Adams} et al., Electron. Proc. Theor. Comput. Sci. (EPTCS) 333, 261--275 (2021; Zbl 1487.55006) Full Text: arXiv Link
Kim, Woojin; Mémoli, Facundo Generalized persistence diagrams for persistence modules over posets. (English) Zbl 1500.55004 J. Appl. Comput. Topol. 5, No. 4, 533-581 (2021). Reviewer: Elizabeth Munch (East Lansing) MSC: 55N31 16G20 05E10 PDFBibTeX XMLCite \textit{W. Kim} and \textit{F. Mémoli}, J. Appl. Comput. Topol. 5, No. 4, 533--581 (2021; Zbl 1500.55004) Full Text: DOI arXiv
Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo The Reeb graph edit distance is universal. (English) Zbl 1485.55006 Found. Comput. Math. 21, No. 5, 1441-1464 (2021). Reviewer: Shiquan Ren (Singapore) MSC: 55N31 05C10 54E35 PDFBibTeX XMLCite \textit{U. Bauer} et al., Found. Comput. Math. 21, No. 5, 1441--1464 (2021; Zbl 1485.55006) Full Text: DOI arXiv
Bubenik, Peter; Milićević, Nikola Homological algebra for persistence modules. (English) Zbl 1487.55008 Found. Comput. Math. 21, No. 5, 1233-1278 (2021). Reviewer: Marek Golasiński (Olsztyn) MSC: 55N31 18G05 18G15 55U25 PDFBibTeX XMLCite \textit{P. Bubenik} and \textit{N. Milićević}, Found. Comput. Math. 21, No. 5, 1233--1278 (2021; Zbl 1487.55008) Full Text: DOI arXiv
Takeuchi, Hiroshi The persistent homology of a sampled map: from a viewpoint of quiver representations. (English) Zbl 1487.55010 J. Appl. Comput. Topol. 5, No. 2, 179-213 (2021). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 16G20 37B99 18A99 55U99 PDFBibTeX XMLCite \textit{H. Takeuchi}, J. Appl. Comput. Topol. 5, No. 2, 179--213 (2021; Zbl 1487.55010) Full Text: DOI arXiv
Kim, Woojin; Mémoli, Facundo Spatiotemporal persistent homology for dynamic metric spaces. (English) Zbl 1480.55007 Discrete Comput. Geom. 66, No. 3, 831-875 (2021). Reviewer: Jason Hanson (Redmond) MSC: 55N31 55U10 PDFBibTeX XMLCite \textit{W. Kim} and \textit{F. Mémoli}, Discrete Comput. Geom. 66, No. 3, 831--875 (2021; Zbl 1480.55007) Full Text: DOI arXiv
Cai, Chen; Kim, Woojin; Mémoli, Facundo; Wang, Yusu Elder-rule-staircodes for augmented metric spaces. (English) Zbl 1477.55005 SIAM J. Appl. Algebra Geom. 5, No. 3, 417-454 (2021). Reviewer: Bastian Rieck (Bern) MSC: 55N31 PDFBibTeX XMLCite \textit{C. Cai} et al., SIAM J. Appl. Algebra Geom. 5, No. 3, 417--454 (2021; Zbl 1477.55005) Full Text: DOI arXiv
Stojisavljević, Vukašin; Zhang, Jun Persistence modules, symplectic Banach-Mazur distance and Riemannian metrics. (English) Zbl 1472.53094 Int. J. Math. 32, No. 7, Article ID 2150040, 76 p. (2021). MSC: 53D22 53D25 55U99 PDFBibTeX XMLCite \textit{V. Stojisavljević} and \textit{J. Zhang}, Int. J. Math. 32, No. 7, Article ID 2150040, 76 p. (2021; Zbl 1472.53094) Full Text: DOI arXiv
Bakke Bjerkevik, Håvard On the stability of interval decomposable persistence modules. (English) Zbl 1471.55006 Discrete Comput. Geom. 66, No. 1, 92-121 (2021). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 PDFBibTeX XMLCite \textit{H. Bakke Bjerkevik}, Discrete Comput. Geom. 66, No. 1, 92--121 (2021; Zbl 1471.55006) Full Text: DOI
Berkouk, Nicolas; Petit, François Ephemeral persistence modules and distance comparison. (English) Zbl 1472.55003 Algebr. Geom. Topol. 21, No. 1, 247-277 (2021). Reviewer: Yuichi Ike (Kawasaki) MSC: 55N31 35A27 55N99 18A99 PDFBibTeX XMLCite \textit{N. Berkouk} and \textit{F. Petit}, Algebr. Geom. Topol. 21, No. 1, 247--277 (2021; Zbl 1472.55003) Full Text: DOI arXiv
Mémoli, Facundo; Okutan, Osman Berat Quantitative simplification of filtered simplicial complexes. (English) Zbl 1460.55024 Discrete Comput. Geom. 65, No. 2, 554-583 (2021). Reviewer: Ran Levi (Aberdeen) MSC: 55U10 55N31 PDFBibTeX XMLCite \textit{F. Mémoli} and \textit{O. B. Okutan}, Discrete Comput. Geom. 65, No. 2, 554--583 (2021; Zbl 1460.55024) Full Text: DOI arXiv
Govc, Dejan; Hepworth, Richard Persistent magnitude. (English) Zbl 1457.55004 J. Pure Appl. Algebra 225, No. 3, Article ID 106517, 40 p. (2021). Reviewer: Henri Riihimäki (Aberdeen) MSC: 55N99 55N35 55N31 51F99 11A25 PDFBibTeX XMLCite \textit{D. Govc} and \textit{R. Hepworth}, J. Pure Appl. Algebra 225, No. 3, Article ID 106517, 40 p. (2021; Zbl 1457.55004) Full Text: DOI arXiv
Wright, Matthew; Zheng, Xiaojun Topological data analysis on simple English Wikipedia articles. (English) Zbl 1465.62192 PUMP J. Undergrad. Res. 3, 308-328 (2020). MSC: 62R40 55N31 PDFBibTeX XMLCite \textit{M. Wright} and \textit{X. Zheng}, PUMP J. Undergrad. Res. 3, 308--328 (2020; Zbl 1465.62192) Full Text: arXiv Link
Bergomi, Mattia G.; Ferri, Massimo; Zuffi, Lorenzo Topological graph persistence. (English) Zbl 1479.55011 Commun. Appl. Ind. Math. 11, No. 1, 72-87 (2020). Reviewer: Elizabeth Munch (East Lansing) MSC: 55N31 05C10 68R10 PDFBibTeX XMLCite \textit{M. G. Bergomi} et al., Commun. Appl. Ind. Math. 11, No. 1, 72--87 (2020; Zbl 1479.55011) Full Text: DOI arXiv
Bjerkevik, Håvard Bakke; Botnan, Magnus Bakke; Kerber, Michael Computing the interleaving distance is NP-hard. (English) Zbl 1460.55006 Found. Comput. Math. 20, No. 5, 1237-1271 (2020). Reviewer: Yuichi Ike (Kawasaki) MSC: 55N31 15A83 68Q17 PDFBibTeX XMLCite \textit{H. B. Bjerkevik} et al., Found. Comput. Math. 20, No. 5, 1237--1271 (2020; Zbl 1460.55006) Full Text: DOI arXiv
Adamaszek, Michał; Adams, Henry; Gasparovic, Ellen; Gommel, Maria; Purvine, Emilie; Sazdanovic, Radmila; Wang, Bei; Wang, Yusu; Ziegelmeier, Lori On homotopy types of Vietoris-Rips complexes of metric gluings. (English) Zbl 1455.55005 J. Appl. Comput. Topol. 4, No. 3, 425-454 (2020). Reviewer: Yuichi Ike (Kawasaki) MSC: 55N31 55U10 68T09 55P15 05E45 PDFBibTeX XMLCite \textit{M. Adamaszek} et al., J. Appl. Comput. Topol. 4, No. 3, 425--454 (2020; Zbl 1455.55005) Full Text: DOI arXiv
Catanzaro, Michael J.; Curry, Justin M.; Fasy, Brittany Terese; Lazovskis, Jānis; Malen, Greg; Riess, Hans; Wang, Bei; Zabka, Matthew Moduli spaces of Morse functions for persistence. (English) Zbl 1454.58011 J. Appl. Comput. Topol. 4, No. 3, 353-385 (2020). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58D29 55N31 37D15 57M15 05C22 PDFBibTeX XMLCite \textit{M. J. Catanzaro} et al., J. Appl. Comput. Topol. 4, No. 3, 353--385 (2020; Zbl 1454.58011) Full Text: DOI arXiv
Dey, Tamal K.; Slechta, Ryan Filtration simplification for persistent homology via edge contraction. (English) Zbl 1494.55008 J. Math. Imaging Vis. 62, No. 5, 704-717 (2020). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 PDFBibTeX XMLCite \textit{T. K. Dey} and \textit{R. Slechta}, J. Math. Imaging Vis. 62, No. 5, 704--717 (2020; Zbl 1494.55008) Full Text: DOI arXiv
Vipond, Oliver Multiparameter persistence landscapes. (English) Zbl 1505.55015 J. Mach. Learn. Res. 21, Paper No. 61, 38 p. (2020). Reviewer: Bastian Rieck (Bern) MSC: 55N31 68U03 68T05 62R40 68T07 PDFBibTeX XMLCite \textit{O. Vipond}, J. Mach. Learn. Res. 21, Paper No. 61, 38 p. (2020; Zbl 1505.55015) Full Text: arXiv Link
Oudot, Steve; Solomon, Elchanan Inverse problems in topological persistence. (English) Zbl 1447.55006 Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 405-433 (2020). MSC: 55N31 55-02 68T09 62R07 PDFBibTeX XMLCite \textit{S. Oudot} and \textit{E. Solomon}, Abel Symp. 15, 405--433 (2020; Zbl 1447.55006) Full Text: DOI arXiv
Kim, Woojin; Mémoli, Facundo; Smith, Zane Analysis of dynamic graphs and dynamic metric spaces via zigzag persistence. (English) Zbl 1448.55008 Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 371-389 (2020). MSC: 55N31 62R40 PDFBibTeX XMLCite \textit{W. Kim} et al., Abel Symp. 15, 371--389 (2020; Zbl 1448.55008) Full Text: DOI
Bubenik, Peter The persistence landscape and some of its properties. (English) Zbl 1453.62807 Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 97-117 (2020). MSC: 62R40 62G07 55N31 68Q32 PDFBibTeX XMLCite \textit{P. Bubenik}, Abel Symp. 15, 97--117 (2020; Zbl 1453.62807) Full Text: DOI arXiv
Bauer, Ulrich; Lesnick, Michael Persistence diagrams as diagrams: a categorification of the stability theorem. (English) Zbl 1453.55004 Baas, Nils (ed.) et al., Topological data analysis. Proceedings of the Abel symposium 2018, Geiranger, Norway, June 4–8, 2018. Cham: Springer. Abel Symp. 15, 67-96 (2020). Reviewer: My Ismail Mamouni (Témara) MSC: 55N31 PDFBibTeX XMLCite \textit{U. Bauer} and \textit{M. Lesnick}, Abel Symp. 15, 67--96 (2020; Zbl 1453.55004) Full Text: DOI arXiv
Botnan, Magnus Bakke; Crawley-Boevey, William Decomposition of persistence modules. (English) Zbl 1461.16013 Proc. Am. Math. Soc. 148, No. 11, 4581-4596 (2020). Reviewer: Eric Hanson (Waltham) MSC: 16G20 55N31 PDFBibTeX XMLCite \textit{M. B. Botnan} and \textit{W. Crawley-Boevey}, Proc. Am. Math. Soc. 148, No. 11, 4581--4596 (2020; Zbl 1461.16013) Full Text: DOI arXiv
Chowdhury, Samir; Clause, Nathaniel; Mémoli, Facundo; Sánchez, Jose Ángel; Wellner, Zoe New families of stable simplicial filtration functors. (English) Zbl 1508.55005 Topology Appl. 279, Article ID 107254, 31 p. (2020). MSC: 55N31 PDFBibTeX XMLCite \textit{S. Chowdhury} et al., Topology Appl. 279, Article ID 107254, 31 p. (2020; Zbl 1508.55005) Full Text: DOI
Lesnick, Michael; Rabadán, Raúl; Rosenbloom, Daniel I. S. Quantifying genetic innovation: mathematical foundations for the topological study of reticulate evolution. (English) Zbl 1433.92030 SIAM J. Appl. Algebra Geom. 4, No. 1, 141-184 (2020). MSC: 92D15 55N31 PDFBibTeX XMLCite \textit{M. Lesnick} et al., SIAM J. Appl. Algebra Geom. 4, No. 1, 141--184 (2020; Zbl 1433.92030) Full Text: DOI arXiv
Cochoy, Jérémy; Oudot, Steve Decomposition of exact pfd persistence bimodules. (English) Zbl 1435.62453 Discrete Comput. Geom. 63, No. 2, 255-293 (2020). MSC: 62R40 55N31 PDFBibTeX XMLCite \textit{J. Cochoy} and \textit{S. Oudot}, Discrete Comput. Geom. 63, No. 2, 255--293 (2020; Zbl 1435.62453) Full Text: DOI arXiv
Kerber, Michael; Lesnick, Michael; Oudot, Steve Exact computation of the matching distance on 2-parameter persistence modules. (English) Zbl 07559246 Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 46, 15 p. (2019). Reviewer: Haibin Hang (Middletown) MSC: 55N31 68U03 PDFBibTeX XMLCite \textit{M. Kerber} et al., LIPIcs -- Leibniz Int. Proc. Inform. 129, Article 46, 15 p. (2019; Zbl 07559246) Full Text: DOI
Cerri, Andrea; Ethier, Marc; Frosini, Patrizio On the geometrical properties of the coherent matching distance in 2D persistent homology. (English) Zbl 1440.55003 J. Appl. Comput. Topol. 3, No. 4, 381-422 (2019). Reviewer: Henry Adams (Fort Collins) MSC: 55N31 57R19 65D18 68U05 PDFBibTeX XMLCite \textit{A. Cerri} et al., J. Appl. Comput. Topol. 3, No. 4, 381--422 (2019; Zbl 1440.55003) Full Text: DOI arXiv
Hang, Haibin; Mémoli, Facundo; Mio, Washington A topological study of functional data and Fréchet functions of metric measure spaces. (English) Zbl 1435.62449 J. Appl. Comput. Topol. 3, No. 4, 359-380 (2019). MSC: 62R10 55N31 60B05 35K08 PDFBibTeX XMLCite \textit{H. Hang} et al., J. Appl. Comput. Topol. 3, No. 4, 359--380 (2019; Zbl 1435.62449) Full Text: DOI arXiv
Dey, Tamal K.; Slechta, Ryan Filtration simplification for persistent homology via edge contraction. (English) Zbl 1486.55012 Couprie, Michel (ed.) et al., Discrete geometry for computer imagery. 21st IAPR international conference, DGCI 2019, Marne-la-Vallée, France, March 26–28, 2019, Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11414, 89-100 (2019). MSC: 55N31 PDFBibTeX XMLCite \textit{T. K. Dey} and \textit{R. Slechta}, Lect. Notes Comput. Sci. 11414, 89--100 (2019; Zbl 1486.55012) Full Text: DOI arXiv
Elchesen, Alexander; Mémoli, Facundo The reflection distance between zigzag persistence modules. (English) Zbl 1435.55002 J. Appl. Comput. Topol. 3, No. 3, 185-219 (2019). Reviewer: My Ismail Mamouni (Témara) MSC: 55N31 55N35 PDFBibTeX XMLCite \textit{A. Elchesen} and \textit{F. Mémoli}, J. Appl. Comput. Topol. 3, No. 3, 185--219 (2019; Zbl 1435.55002) Full Text: DOI arXiv
Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin A comparison framework for interleaved persistence modules. (English) Zbl 1443.55001 J. Appl. Comput. Topol. 3, No. 1-2, 85-118 (2019). Reviewer: My Ismail Mamouni (Témara) MSC: 55N31 55U10 65G99 PDFBibTeX XMLCite \textit{S. Harker} et al., J. Appl. Comput. Topol. 3, No. 1--2, 85--118 (2019; Zbl 1443.55001) Full Text: DOI arXiv Link
Polterovich, Iosif; Polterovich, Leonid; Stojisavljević, Vukašin Persistence barcodes and Laplace eigenfunctions on surfaces. (English) Zbl 1420.58012 Geom. Dedicata 201, 111-138 (2019). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J50 55U99 PDFBibTeX XMLCite \textit{I. Polterovich} et al., Geom. Dedicata 201, 111--138 (2019; Zbl 1420.58012) Full Text: DOI arXiv
Mémoli, Facundo; Singhal, Kritika A primer on persistent homology of finite metric spaces. (English) Zbl 1417.62013 Bull. Math. Biol. 81, No. 7, 2074-2116 (2019). MSC: 62-07 62H30 62P10 92C20 55N35 PDFBibTeX XMLCite \textit{F. Mémoli} and \textit{K. Singhal}, Bull. Math. Biol. 81, No. 7, 2074--2116 (2019; Zbl 1417.62013) Full Text: DOI arXiv
Carlsson, Gunnar; de Silva, Vin; Kališnik, Sara; Morozov, Dmitriy Parametrized homology via zigzag persistence. (English) Zbl 1427.55005 Algebr. Geom. Topol. 19, No. 2, 657-700 (2019). Reviewer: Henry Adams (Fort Collins) MSC: 55N31 55N99 PDFBibTeX XMLCite \textit{G. Carlsson} et al., Algebr. Geom. Topol. 19, No. 2, 657--700 (2019; Zbl 1427.55005) Full Text: DOI arXiv
Cole, Alex; Shiu, Gary Topological data analysis for the string landscape. (English) Zbl 1414.83083 J. High Energy Phys. 2019, No. 3, Paper No. 54, 31 p. (2019). MSC: 83E30 81T30 14J32 55R40 81T45 PDFBibTeX XMLCite \textit{A. Cole} and \textit{G. Shiu}, J. High Energy Phys. 2019, No. 3, Paper No. 54, 31 p. (2019; Zbl 1414.83083) Full Text: DOI arXiv
Edelsbrunner, Herbert; Osang, Georg The multi-cover persistence of Euclidean balls. (English) Zbl 1493.55003 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 34, 14 p. (2018). MSC: 55N31 52C35 68U03 68U05 57Q70 PDFBibTeX XMLCite \textit{H. Edelsbrunner} and \textit{G. Osang}, LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 34, 14 p. (2018; Zbl 1493.55003) Full Text: DOI
Dey, Tamal K.; Xin, Cheng Computing bottleneck distance for 2-D interval decomposable modules. (English) Zbl 1492.55005 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 32, 15 p. (2018). MSC: 55N31 PDFBibTeX XMLCite \textit{T. K. Dey} and \textit{C. Xin}, LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 32, 15 p. (2018; Zbl 1492.55005) Full Text: DOI arXiv
Buchet, Mickaël; Escolar, Emerson G. Realizations of indecomposable persistence modules of arbitrarily large dimension. (English) Zbl 1493.55002 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 15, 13 p. (2018). MSC: 55N31 PDFBibTeX XMLCite \textit{M. Buchet} and \textit{E. G. Escolar}, LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 15, 13 p. (2018; Zbl 1493.55002) Full Text: DOI arXiv
Bjerkevik, Håvard Bakke; Botnan, Magnus Bakke Computational complexity of the interleaving distance. (English) Zbl 1489.68103 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 13, 15 p. (2018). MSC: 68Q25 55N31 68Q17 PDFBibTeX XMLCite \textit{H. B. Bjerkevik} and \textit{M. B. Botnan}, LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 13, 15 p. (2018; Zbl 1489.68103) Full Text: DOI arXiv
Adamaszek, Michał; Adams, Henry; Gasparovic, Ellen; Gommel, Maria; Purvine, Emilie; Sazdanovic, Radmila; Wang, Bei; Wang, Yusu; Ziegelmeier, Lori Vietoris-Rips and Čech complexes of metric gluings. (English) Zbl 1489.68330 Speckmann, Bettina (ed.) et al., 34th international symposium on computational geometry, SoCG 2018, June 11–14, 2018, Budapest, Hungary. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 99, Article 3, 15 p. (2018). MSC: 68U03 55N31 PDFBibTeX XMLCite \textit{M. Adamaszek} et al., LIPIcs -- Leibniz Int. Proc. Inform. 99, Article 3, 15 p. (2018; Zbl 1489.68330) Full Text: DOI
Curry, Justin The fiber of the persistence map for functions on the interval. (English) Zbl 1426.55006 J. Appl. Comput. Topol. 2, No. 3-4, 301-321 (2018). MSC: 55N31 PDFBibTeX XMLCite \textit{J. Curry}, J. Appl. Comput. Topol. 2, No. 3--4, 301--321 (2018; Zbl 1426.55006) Full Text: DOI arXiv
Bubenik, Peter; Vergili, Tane Topological spaces of persistence modules and their properties. (English) Zbl 1423.55012 J. Appl. Comput. Topol. 2, No. 3-4, 233-269 (2018). MSC: 55N99 54D99 54E99 18A25 PDFBibTeX XMLCite \textit{P. Bubenik} and \textit{T. Vergili}, J. Appl. Comput. Topol. 2, No. 3--4, 233--269 (2018; Zbl 1423.55012) Full Text: DOI arXiv
Chowdhury, Samir; Mémoli, Facundo A functorial Dowker theorem and persistent homology of asymmetric networks. (English) Zbl 1423.55038 J. Appl. Comput. Topol. 2, No. 1-2, 115-175 (2018). MSC: 55U99 68U05 55N35 PDFBibTeX XMLCite \textit{S. Chowdhury} and \textit{F. Mémoli}, J. Appl. Comput. Topol. 2, No. 1--2, 115--175 (2018; Zbl 1423.55038) Full Text: DOI arXiv
Kashiwara, Masaki; Schapira, Pierre Persistent homology and microlocal sheaf theory. (English) Zbl 1423.55013 J. Appl. Comput. Topol. 2, No. 1-2, 83-113 (2018). MSC: 55N99 18A99 35A27 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{P. Schapira}, J. Appl. Comput. Topol. 2, No. 1--2, 83--113 (2018; Zbl 1423.55013) Full Text: DOI arXiv
Feragen, Aasa (ed.); Hotz, Thomas (ed.); Huckemann, Stephan (ed.); Miller, Ezra (ed.) Statistics for data with geometric structure. Abstracts from the workshop held January 21–27, 2018. (English) Zbl 1409.00087 Oberwolfach Rep. 15, No. 1, 125-186 (2018). MSC: 00B05 00B25 62-06 62-07 62Hxx 53-06 55N35 65Cxx 60D05 14T05 PDFBibTeX XMLCite \textit{A. Feragen} (ed.) et al., Oberwolfach Rep. 15, No. 1, 125--186 (2018; Zbl 1409.00087) Full Text: DOI
Botnan, Magnus Bakke; Lesnick, Michael Algebraic stability of zigzag persistence modules. (English) Zbl 1432.55011 Algebr. Geom. Topol. 18, No. 6, 3133-3204 (2018). MSC: 55N31 55U99 PDFBibTeX XMLCite \textit{M. B. Botnan} and \textit{M. Lesnick}, Algebr. Geom. Topol. 18, No. 6, 3133--3204 (2018; Zbl 1432.55011) Full Text: DOI arXiv
Govc, Dejan; Skraba, Primoz An approximate nerve theorem. (English) Zbl 1400.55003 Found. Comput. Math. 18, No. 5, 1245-1297 (2018). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55N99 55T99 PDFBibTeX XMLCite \textit{D. Govc} and \textit{P. Skraba}, Found. Comput. Math. 18, No. 5, 1245--1297 (2018; Zbl 1400.55003) Full Text: DOI arXiv
De Silva, V.; Munch, E.; Stefanou, A. Theory of interleavings on categories with a flow. (English) Zbl 1433.18002 Theory Appl. Categ. 33, 583-607 (2018). Reviewer: Augusto Stoffel (Greifswald) MSC: 18C10 18M05 18N10 18D20 18D25 55N10 PDFBibTeX XMLCite \textit{V. De Silva} et al., Theory Appl. Categ. 33, 583--607 (2018; Zbl 1433.18002) Full Text: arXiv Link