On the persistent homology of almost surely \(C^0\) stochastic processes Daniel Perez OriginalPaper 05 July 2023 Pages: 879 - 906
Geometry of the matching distance for 2D filtering functions Marc EthierPatrizio FrosiniFrancesca Tombari OriginalPaper Open access 22 June 2023 Pages: 815 - 830
Geometric characterization of the persistence of 1D maps Ranita BiswasSebastiano Cultrera di MontesanoMorteza Saghafian OriginalPaper Open access 17 June 2023
A directed persistent homology theory for dissimilarity functions David MéndezRubén J. Sánchez-García OriginalPaper Open access 02 June 2023 Pages: 771 - 813
Heat diffusion distance processes: a statistically founded method to analyze graph data sets Etienne Lasalle OriginalPaper 18 May 2023
Vietoris–Rips complexes of metric spaces near a metric graph Sushovan Majhi OriginalPaper 15 May 2023 Pages: 741 - 770
Constructible sheaves and functions up to infinity Pierre Schapira OriginalPaper 10 May 2023 Pages: 707 - 739
Symmetric configuration spaces of linkages David BlancNir Shvalb OriginalPaper 08 May 2023 Pages: 527 - 569
Stable volumes for persistent homology Ippei Obayashi OriginalPaper Open access 04 May 2023 Pages: 671 - 706
On the homology language of HDA models of transition systems Thomas Kahl OriginalPaper Open access 04 May 2023
Persistent extensions and analogous bars: data-induced relations between persistence barcodes Hee Rhang YoonRobert GhristChad Giusti OriginalPaper Open access 15 April 2023 Pages: 571 - 617
Stratifications of real vector spaces from constructible sheaves with conical microsupport Ezra Miller OriginalPaper 25 March 2023 Pages: 473 - 489
Harmonic representatives in homology over arbitrary fields Michael J. CatanzaroBrantley Vose OriginalPaper 20 March 2023 Pages: 643 - 670
The reach of subsets of manifolds Jean-Daniel BoissonnatMathijs Wintraecken OriginalPaper 17 March 2023 Pages: 619 - 641
Hochschild homology, and a persistent approach via connectivity digraphs Luigi CaputiHenri Riihimäki OriginalPaper Open access 14 March 2023
Singularities of gaussian random maps into the plane P. K. Mishal Assif OriginalPaper 03 March 2023 Pages: 491 - 525
On the symmetric group action on rigid disks in a strip Nicholas Wawrykow OriginalPaper 27 December 2022 Pages: 427 - 472
Stratifying the space of barcodes using Coxeter complexes Benjamin BrückAdélie Garin OriginalPaper Open access 26 December 2022 Pages: 369 - 395
On the consistency and asymptotic normality of multiparameter persistent Betti numbers Magnus B. BotnanChristian Hirsch OriginalPaper 22 December 2022
Dominance complexes and vertex cover numbers of graphs Takahiro Matsushita OriginalPaper 16 December 2022 Pages: 363 - 368
First Betti number of the path homology of random directed graphs Thomas Chaplin OriginalPaper Open access 04 December 2022
On merge trees and discrete Morse functions on paths and trees Julian Brüggemann OriginalPaper Open access 26 November 2022 Pages: 103 - 138
Geodesic complexity via fibered decompositions of cut loci Stephan MescherMaximilian Stegemeyer OriginalPaper Open access 23 November 2022 Pages: 397 - 425
Distances and isomorphism between networks: stability and convergence of network invariants Samir ChowdhuryFacundo Mémoli OriginalPaper 11 November 2022 Pages: 243 - 361
Vietoris thickenings and complexes have isomorphic homotopy groups Henry AdamsFlorian FrickŽiga Virk OriginalPaper 08 November 2022 Pages: 221 - 241
Exact weights, path metrics, and algebraic Wasserstein distances Peter BubenikJonathan ScottDonald Stanley OriginalPaper 19 October 2022 Pages: 185 - 219
Topological perplexity of feedback stabilization Yu. Baryshnikov OriginalPaper 17 October 2022 Pages: 75 - 87
Fiber of persistent homology on morse functions Jacob LeygonieDavid Beers OriginalPaper Open access 10 October 2022 Pages: 89 - 102
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces Michał LipińskiJacek KubicaThomas Wanner OriginalPaper Open access 05 October 2022 Pages: 139 - 184
Correction to: The space of barcode bases for persistence modules Emile JacquardVidit NandaUlrike Tillmann Correction Open access 26 September 2022 Pages: 31 - 31
Steady and ranging sets in graph persistence Mattia G. BergomiMassimo FerriAntonella Tavaglione OriginalPaper Open access 23 September 2022 Pages: 33 - 56
The space of barcode bases for persistence modules Emile JacquardVidit NandaUlrike Tillmann OriginalPaper Open access 13 July 2022 Pages: 1 - 30
Digital fundamental groups and edge groups of clique complexes Gregory LuptonNicholas A. Scoville OriginalPaper 06 July 2022 Pages: 529 - 558
Persistence Steenrod modules Umberto LupoAnibal M. Medina-MardonesGuillaume Tauzin OriginalPaper Open access 29 May 2022 Pages: 475 - 502
Frontiers of sphere recognition in practice Michael JoswigDavide LofanoMimi Tsuruga OriginalPaper Open access 19 May 2022 Pages: 503 - 527
Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces Peter BubenikAlex Elchesen OriginalPaper 21 April 2022 Pages: 429 - 474
Statistical analysis of Mapper for stochastic and multivariate filters Mathieu CarrièreBertrand Michel OriginalPaper 29 March 2022 Pages: 331 - 369
Decorated merge trees for persistent topology Justin CurryHaibin HangOsman Berat Okutan OriginalPaper 26 March 2022 Pages: 371 - 428
Generalized persistence algorithm for decomposing multiparameter persistence modules Tamal K. DeyCheng Xin OriginalPaper 05 February 2022 Pages: 271 - 322
Higher topological complexity of hyperbolic groups Sam HughesKevin Li OriginalPaper Open access 04 February 2022 Pages: 323 - 329
Persistence of Morse decompositions over grid resolution for maps and time series Jim Wiseman OriginalPaper 01 February 2022 Pages: 247 - 269
Learning orientations: a discrete geometry model Y. Dabaghian OriginalPaper 30 January 2022 Pages: 193 - 220
Parametrized topological complexity of poset-stratified spaces Kohei Tanaka OriginalPaper 18 December 2021 Pages: 221 - 246
Cosheaf representations of relations and Dowker complexes Michael Robinson OriginalPaper Open access 03 December 2021 Pages: 27 - 63
Computing persistent Stiefel–Whitney classes of line bundles Raphaël Tinarrage OriginalPaper 18 November 2021 Pages: 65 - 125
Homotopy types of random cubical complexes K. Alex DowlingErik Lundberg OriginalPaper 13 November 2021 Pages: 1 - 26
A topological approach to inferring the intrinsic dimension of convex sensing data Min-Chun WuVladimir Itskov OriginalPaper Open access 11 November 2021 Pages: 127 - 176
On Vietoris–Rips complexes of hypercube graphs Michał AdamaszekHenry Adams OriginalPaper 10 November 2021 Pages: 177 - 192
Dimensionality reduction for k-distance applied to persistent homology Shreya AryaJean-Daniel BoissonnatMartin Lotz OriginalPaper Open access 19 October 2021 Pages: 671 - 691
