Journal of Applied and Computational Topology Short Title: J. Appl. Comput. Topol. Publisher: Springer International Publishing, Cham ISSN: 2367-1726; 2367-1734/e Online: https://link.springer.com/journal/volumesAndIssues/41468 Comments: Journal; Indexed cover-to-cover Documents Indexed: 121 Publications (since 2017) References Indexed: 119 Publications with 4,134 References. all top 5 Latest Issues 7, No. 4 (2023) 7, No. 3 (2023) 7, No. 2 (2023) 7, No. 1 (2023) 6, No. 4 (2022) 6, No. 3 (2022) 6, No. 2 (2022) 6, No. 1 (2022) 5, No. 4 (2021) 5, No. 3 (2021) 5, No. 2 (2021) 5, No. 1 (2021) 4, No. 4 (2020) 4, No. 3 (2020) 4, No. 2 (2020) 4, No. 1 (2020) 3, No. 4 (2019) 3, No. 3 (2019) 3, No. 1-2 (2019) 2, No. 3-4 (2018) 2, No. 1-2 (2018) 1, No. 3-4 (2018) 1, No. 2 (2017) 1, No. 1 (2017) all top 5 Authors 5 Bubenik, Peter 5 Mémoli, Facundo 4 Boissonnat, Jean-Daniel 4 Catanzaro, Michael J. 4 Ghrist, Robert W. 3 Adams, Henry 3 Curry, Justin Michael 3 Feichtner-Kozlov, Dimitry N. 3 Mischaikow, Konstantin 3 Rajsbaum, Sergio 3 Wang, Bei 2 Adamaszek, Michal 2 Alpert, Hannah 2 Baryshnikov, Yuliy M. 2 Bauer, Ulrich 2 Bobrowski, Omer 2 Burton, Benjamin A. 2 Chernyak, Vladimir Y. 2 Chowdhury, Samir 2 Divol, Vincent 2 Ethier, Marc 2 Farber, Michael S. 2 Fasy, Brittany Terese 2 Franek, Peter 2 Frosini, Patrizio 2 Govc, Dejan 2 Hang, Haibin 2 Harker, Shaun 2 Jacquard, Emile 2 Kahle, Matthew 2 Kerber, Michael 2 Klein, John Robert 2 Levanger, Rachel 2 Levi, Ran 2 Lupton, Gregory M. 2 Maria, Clément 2 Mio, Washington 2 Mrozek, Marian 2 Munch, Elizabeth 2 Nanda, Vidit 2 Obayashi, Ippei 2 Schapira, Pierre 2 Scoville, Nicholas A. 2 Tillmann, Ulrike 2 Tombari, Francesca 2 Wintraecken, Mathijs Hubertus Maria Johannes 1 Adler, Robert Joseph 1 Agami, Sarit 1 Aguilar-Guzmán, Jorge 1 Antia, Alice 1 Arya, Shreya 1 Beers, David 1 Bendich, Paul 1 Bergomi, Mattia Giuseppe 1 Berry, Eric A. 1 Blanc, David Abraham 1 Blaser, Nello 1 Borat, Ayşe 1 Brown, Adam 1 Brück, Benjamin 1 Brüggemann, Julian 1 Brun, Morten 1 Buchet, Mickaël 1 Burghelea, Dan 1 Cang, Zixuan 1 Carlsson, Gunnar E. 1 Carrière, Mathieu 1 Cerri, Andrea 1 Chachólski, Wojciech 1 Chacholski, Wojtek 1 Chen, Yen-Chi 1 Choudhary, Aruni 1 Cisewski-Kehe, Jessi 1 Cohen, Daniel C. 1 Corbet, René 1 Cyranka, Jacek 1 Dey, Tamal Krishna 1 Dickstein, Adi 1 Dowling, K. Alex 1 Dutta, Kunal 1 Edelsbrunner, Herbert 1 Elchesen, Alex 1 Elchesen, Alexander 1 Escolar, Emerson G. 1 Even-Zohar, Chaim 1 Ferri, Massimo 1 Filakovský, Marek 1 Fraigniaud, Pierre 1 Frick, Florian 1 Gafni, Eli M. 1 Garin, Adélie 1 Gasparovic, Ellen 1 Giusti, Chad 1 Gommel, Maria 1 Goubault, Eric 1 Grant, Mark 1 Haller, Stefan 1 Hansen, Jakob K. 1 Hass, Joel 1 Herlihy, Maurice P. ...and 99 more Authors all top 5 Fields 99 Algebraic topology (55-XX) 28 Computer science (68-XX) 27 Statistics (62-XX) 26 Manifolds and cell complexes (57-XX) 20 Combinatorics (05-XX) 11 Category theory; homological algebra (18-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Probability theory and stochastic processes (60-XX) 8 Numerical analysis (65-XX) 7 Associative rings and algebras (16-XX) 6 General topology (54-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Geometry (51-XX) 4 Biology and other natural sciences (92-XX) 3 Group theory and generalizations (20-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Convex and discrete geometry (52-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 472 times in 342 Documents Cited by ▼ Year ▼ Topology of random geometric complexes: a survey. Zbl 1402.60015 Bobrowski, Omer; Kahle, Matthew 41 2018 Ripser: efficient computation of Vietoris-Rips persistence barcodes. Zbl 1476.55012 Bauer, Ulrich 28 2021 The reach, metric distortion, geodesic convexity and the variation of tangent spaces. Zbl 1431.53043 Boissonnat, Jean-Daniel; Lieutier, André; Wintraecken, Mathijs 23 2019 Generalized persistence diagrams. Zbl 1398.18015 Patel, Amit 22 2018 Persistent homology and microlocal sheaf theory. Zbl 1423.55013 Kashiwara, Masaki; Schapira, Pierre 19 2018 Hypothesis testing for topological data analysis. Zbl 1396.62085 Robinson, Andrew; Turner, Katharine 18 2017 Topological complexity of the Klein bottle. Zbl 1400.55001 Cohen, Daniel C.; Vandembroucq, Lucile 17 2017 The fiber of the persistence map for functions on the interval. Zbl 1426.55006 Curry, Justin 15 2018 A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038 Chowdhury, Samir; Mémoli, Facundo 15 2018 Topological spaces of persistence modules and their properties. Zbl 1423.55012 Bubenik, Peter; Vergili, Tane 13 2018 Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport. Zbl 1473.62408 Divol, Vincent; Lacombe, Théo 11 2021 Generalized persistence diagrams for persistence modules over posets. Zbl 1500.55004 Kim, Woojin; Mémoli, Facundo 11 2021 Toward a spectral theory of cellular sheaves. Zbl 1439.05137 Hansen, Jakob; Ghrist, Robert 11 2019 On the choice of weight functions for linear representations of persistence diagrams. Zbl 1422.60024 Divol, Vincent; Polonik, Wolfgang 10 2019 Topology of angle valued maps, bar codes and Jordan blocks. Zbl 1404.55009 Burghelea, Dan; Haller, Stefan 10 2017 Models of random knots. Zbl 1404.57007 Even-Zohar, Chaim 9 2017 A higher Boltzmann distribution. Zbl 1397.18034 Catanzaro, Michael J.; Chernyak, Vladimir Y.; Klein, John R. 8 2017 Persistence diagrams with linear machine learning models. Zbl 1405.62250 Obayashi, Ippei; Hiraoka, Yasuaki; Kimura, Masao 8 2018 Persistent homology and Euler integral transforms. Zbl 1461.58006 Ghrist, Robert; Levanger, Rachel; Mai, Huy 8 2018 A fundamental group for digital images. Zbl 1481.55008 Lupton, Gregory; Oprea, John; Scoville, Nicholas A. 7 2021 Embeddings of persistence diagrams into Hilbert spaces. Zbl 1455.55006 Bubenik, Peter; Wagner, Alexander 7 2020 Functional summaries of persistence diagrams. Zbl 1452.62999 Berry, Eric; Chen, Yen-Chi; Cisewski-Kehe, Jessi; Fasy, Brittany Terese 7 2020 Geodesic complexity of motion planning. Zbl 1485.53050 Recio-Mitter, David 6 2021 Modelling persistence diagrams with planar point processes, and revealing topology with bagplots. Zbl 1441.62936 Adler, Robert J.; Agami, Sarit 6 2019 On homotopy types of Vietoris-Rips complexes of metric gluings. Zbl 1455.55005 Adamaszek, Michał; Adams, Henry; Gasparovic, Ellen; Gommel, Maria; Purvine, Emilie; Sazdanovic, Radmila; Wang, Bei; Wang, Yusu; Ziegelmeier, Lori 6 2020 Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces. Zbl 1516.55005 Bubenik, Peter; Elchesen, Alex 6 2022 Spaces of directed paths on pre-cubical sets II. Zbl 1436.55014 Ziemiański, Krzysztof 6 2020 A computational framework for connection matrix theory. Zbl 1487.37018 Harker, Shaun; Mischaikow, Konstantin; Spendlove, Kelly 5 2021 Čech-Delaunay gradient flow and homology inference for self-maps. Zbl 1479.55010 Bauer, U.; Edelsbrunner, H.; Jabłoński, G.; Mrozek, M. 5 2020 On the geometrical properties of the coherent matching distance in 2D persistent homology. Zbl 1440.55003 Cerri, Andrea; Ethier, Marc; Frosini, Patrizio 5 2019 Directed topological complexity. Zbl 1479.55008 Goubault, Eric; Farber, Michael; Sagnier, Aurélien 5 2020 Numeric invariants from multidimensional persistence. Zbl 1439.55007 Skryzalin, Jacek; Carlsson, Gunnar 5 2017 Sparse Dowker nerves. Zbl 1431.55004 Brun, Morten; Blaser, Nello 4 2019 A comparison framework for interleaved persistence modules. Zbl 1443.55001 Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin 4 2019 Moduli spaces of Morse functions for persistence. Zbl 1454.58011 Catanzaro, Michael J.; Curry, Justin M.; Fasy, Brittany Terese; Lazovskis, Jānis; Malen, Greg; Riess, Hans; Wang, Bei; Zabka, Matthew 4 2020 Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. Zbl 07716160 Lipiński, Michał; Kubica, Jacek; Mrozek, Marian; Wanner, Thomas 4 2023 Algorithms and complexity for Turaev-Viro invariants. Zbl 1470.57005 Burton, Benjamin A.; Maria, Clément; Spreer, Jonathan 4 2018 On Vietoris-Rips complexes of hypercube graphs. Zbl 1490.05279 Adamaszek, Michał; Adams, Henry 4 2022 Probabilistic convergence and stability of random mapper graphs. Zbl 1482.55006 Brown, Adam; Bobrowski, Omer; Munch, Elizabeth; Wang, Bei 3 2021 The reflection distance between zigzag persistence modules. Zbl 1435.55002 Elchesen, Alexander; Mémoli, Facundo 3 2019 Every 1D persistence module is a restriction of some indecomposable 2D persistence module. Zbl 1460.16013 Buchet, Mickaël; Escolar, Emerson G. 3 2020 Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis. Zbl 1460.55007 Cang, Zixuan; Munch, Elizabeth; Wei, Guo-Wei 3 2020 Contractibility of a persistence map preimage. Zbl 1458.37083 Cyranka, Jacek; Mischaikow, Konstantin; Weibel, Charles 3 2020 Stabilizing the unstable output of persistent homology computations. Zbl 07240584 Bendich, Paul; Bubenik, Peter; Wagner, Alexander 3 2020 Generalized persistence algorithm for decomposing multiparameter persistence modules. Zbl 1502.55005 Dey, Tamal K.; Xin, Cheng 3 2022 Directed topological complexity of spheres. Zbl 1479.55005 Borat, Ayşe; Grant, Mark 3 2020 Configuration spaces of disks in an infinite strip. Zbl 1480.55015 Alpert, Hannah; Kahle, Matthew; MacPherson, Robert 2 2021 The persistent homology of a sampled map: from a viewpoint of quiver representations. Zbl 1487.55010 Takeuchi, Hiroshi 2 2021 The Rado simplicial complex. Zbl 1473.05330 Farber, Michael; Mead, Lewis; Strauss, Lewin 2 2021 Labeled homology of higher-dimensional automata. Zbl 1423.55006 Kahl, Thomas 2 2018 Approximation of quasi-states on manifolds. Zbl 07103893 Dickstein, Adi; Zapolsky, Frol 2 2019 Distances and isomorphism between networks: stability and convergence of network invariants. Zbl 1524.68332 Chowdhury, Samir; Mémoli, Facundo 2 2023 Stratifications of real vector spaces from constructible sheaves with conical microsupport. Zbl 1527.32026 Miller, Ezra 2 2023 Discrete configuration spaces of squares and hexagons. Zbl 1454.51016 Alpert, Hannah 2 2020 Tree decomposition of Reeb graphs, parametrized complexity, and applications to phylogenetics. Zbl 1452.55007 Stefanou, Anastasios 2 2020 Twisty Takens: a geometric characterization of good observations on dense trajectories. Zbl 1435.37101 Xu, Boyan; Tralie, Christopher J.; Antia, Alice; Lin, Michael; Perea, Jose A. 2 2019 A topological study of functional data and Fréchet functions of metric measure spaces. Zbl 1435.62449 Hang, Haibin; Mémoli, Facundo; Mio, Washington 2 2019 A combinatorial method to compute explicit homology cycles using discrete Morse theory. Zbl 1441.57026 Kozlov, Dmitry N. 2 2020 Pair component categories for directed spaces. Zbl 1455.18002 Raussen, Martin 2 2020 A lower bound on the number of opinions needed for fault-tolerant decentralized run-time monitoring. Zbl 1435.68196 Fraigniaud, Pierre; Rajsbaum, Sergio; Travers, Corentin 2 2020 Collapsibility of read/write models using discrete Morse theory. Zbl 1398.68359 Benavides, Fernando; Rajsbaum, Sergio 2 2018 The representation theorem of persistence revisited and generalized. Zbl 1469.16083 Corbet, René; Kerber, Michael 2 2018 Computing persistent Stiefel-Whitney classes of line bundles. Zbl 1493.55004 Tinarrage, Raphaël 2 2022 Improved approximate Rips filtrations with shifted integer lattices and cubical complexes. Zbl 1487.55009 Choudhary, Aruni; Kerber, Michael; Raghvendra, Sharath 1 2021 Homotopical decompositions of simplicial and Vietoris Rips complexes. Zbl 1485.55007 Chachólski, Wojciech; Jin, Alvin; Scolamiero, Martina; Tombari, Francesca 1 2021 Complexes of tournaments, directionality filtrations and persistent homology. Zbl 1494.55022 Govc, Dejan; Levi, Ran; Smith, Jason P. 1 2021 Constructible sheaves and functions up to infinity. Zbl 07772362 Schapira, Pierre 1 2023 The space of barcode bases for persistence modules. Zbl 1518.55004 Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike 1 2023 Correction to: “The space of barcode bases for persistence modules”. Zbl 1521.55005 Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike 1 2023 Topological perplexity of feedback stabilization. Zbl 1521.37105 Baryshnikov, Yu. 1 2023 Vietoris thickenings and complexes have isomorphic homotopy groups. Zbl 1526.55005 Adams, Henry; Frick, Florian; Virk, Žiga 1 2023 Stratifying the space of barcodes using Coxeter complexes. Zbl 1522.55006 Brück, Benjamin; Garin, Adélie 1 2023 Frontiers of sphere recognition in practice. Zbl 1510.57022 Joswig, Michael; Lofano, Davide; Lutz, Frank H.; Tsuruga, Mimi 1 2022 Statistical analysis of Mapper for stochastic and multivariate filters. Zbl 1505.55010 Carrière, Mathieu; Michel, Bertrand 1 2022 Decorated merge trees for persistent topology. Zbl 1525.55006 Curry, Justin; Hang, Haibin; Mio, Washington; Needham, Tom; Okutan, Osman Berat 1 2022 On the topology of complexes of injective words. Zbl 1437.05242 Chacholski, Wojtek; Levi, Ran; Meshulam, Roy 1 2020 Structure theory of flip graphs with applications to weak symmetry breaking. Zbl 1400.68157 Kozlov, Dmitry N. 1 2017 Comparing shapes of genus-zero surfaces. Zbl 1403.30015 Hass, Joel; Koehl, Patrice 1 2017 Solving equations and optimization problems with uncertainty. Zbl 1416.65141 Franek, Peter; Krčál, Marek; Wagner, Hubert 1 2018 Inferring topology of quantum phase space. Zbl 1420.81018 Polterovich, Leonid 1 2018 Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. Zbl 07716160 Lipiński, Michał; Kubica, Jacek; Mrozek, Marian; Wanner, Thomas 4 2023 Distances and isomorphism between networks: stability and convergence of network invariants. Zbl 1524.68332 Chowdhury, Samir; Mémoli, Facundo 2 2023 Stratifications of real vector spaces from constructible sheaves with conical microsupport. Zbl 1527.32026 Miller, Ezra 2 2023 Constructible sheaves and functions up to infinity. Zbl 07772362 Schapira, Pierre 1 2023 The space of barcode bases for persistence modules. Zbl 1518.55004 Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike 1 2023 Correction to: “The space of barcode bases for persistence modules”. Zbl 1521.55005 Jacquard, Emile; Nanda, Vidit; Tillmann, Ulrike 1 2023 Topological perplexity of feedback stabilization. Zbl 1521.37105 Baryshnikov, Yu. 1 2023 Vietoris thickenings and complexes have isomorphic homotopy groups. Zbl 1526.55005 Adams, Henry; Frick, Florian; Virk, Žiga 1 2023 Stratifying the space of barcodes using Coxeter complexes. Zbl 1522.55006 Brück, Benjamin; Garin, Adélie 1 2023 Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces. Zbl 1516.55005 Bubenik, Peter; Elchesen, Alex 6 2022 On Vietoris-Rips complexes of hypercube graphs. Zbl 1490.05279 Adamaszek, Michał; Adams, Henry 4 2022 Generalized persistence algorithm for decomposing multiparameter persistence modules. Zbl 1502.55005 Dey, Tamal K.; Xin, Cheng 3 2022 Computing persistent Stiefel-Whitney classes of line bundles. Zbl 1493.55004 Tinarrage, Raphaël 2 2022 Frontiers of sphere recognition in practice. Zbl 1510.57022 Joswig, Michael; Lofano, Davide; Lutz, Frank H.; Tsuruga, Mimi 1 2022 Statistical analysis of Mapper for stochastic and multivariate filters. Zbl 1505.55010 Carrière, Mathieu; Michel, Bertrand 1 2022 Decorated merge trees for persistent topology. Zbl 1525.55006 Curry, Justin; Hang, Haibin; Mio, Washington; Needham, Tom; Okutan, Osman Berat 1 2022 Ripser: efficient computation of Vietoris-Rips persistence barcodes. Zbl 1476.55012 Bauer, Ulrich 28 2021 Understanding the topology and the geometry of the space of persistence diagrams via optimal partial transport. Zbl 1473.62408 Divol, Vincent; Lacombe, Théo 11 2021 Generalized persistence diagrams for persistence modules over posets. Zbl 1500.55004 Kim, Woojin; Mémoli, Facundo 11 2021 A fundamental group for digital images. Zbl 1481.55008 Lupton, Gregory; Oprea, John; Scoville, Nicholas A. 7 2021 Geodesic complexity of motion planning. Zbl 1485.53050 Recio-Mitter, David 6 2021 A computational framework for connection matrix theory. Zbl 1487.37018 Harker, Shaun; Mischaikow, Konstantin; Spendlove, Kelly 5 2021 Probabilistic convergence and stability of random mapper graphs. Zbl 1482.55006 Brown, Adam; Bobrowski, Omer; Munch, Elizabeth; Wang, Bei 3 2021 Configuration spaces of disks in an infinite strip. Zbl 1480.55015 Alpert, Hannah; Kahle, Matthew; MacPherson, Robert 2 2021 The persistent homology of a sampled map: from a viewpoint of quiver representations. Zbl 1487.55010 Takeuchi, Hiroshi 2 2021 The Rado simplicial complex. Zbl 1473.05330 Farber, Michael; Mead, Lewis; Strauss, Lewin 2 2021 Improved approximate Rips filtrations with shifted integer lattices and cubical complexes. Zbl 1487.55009 Choudhary, Aruni; Kerber, Michael; Raghvendra, Sharath 1 2021 Homotopical decompositions of simplicial and Vietoris Rips complexes. Zbl 1485.55007 Chachólski, Wojciech; Jin, Alvin; Scolamiero, Martina; Tombari, Francesca 1 2021 Complexes of tournaments, directionality filtrations and persistent homology. Zbl 1494.55022 Govc, Dejan; Levi, Ran; Smith, Jason P. 1 2021 Embeddings of persistence diagrams into Hilbert spaces. Zbl 1455.55006 Bubenik, Peter; Wagner, Alexander 7 2020 Functional summaries of persistence diagrams. Zbl 1452.62999 Berry, Eric; Chen, Yen-Chi; Cisewski-Kehe, Jessi; Fasy, Brittany Terese 7 2020 On homotopy types of Vietoris-Rips complexes of metric gluings. Zbl 1455.55005 Adamaszek, Michał; Adams, Henry; Gasparovic, Ellen; Gommel, Maria; Purvine, Emilie; Sazdanovic, Radmila; Wang, Bei; Wang, Yusu; Ziegelmeier, Lori 6 2020 Spaces of directed paths on pre-cubical sets II. Zbl 1436.55014 Ziemiański, Krzysztof 6 2020 Čech-Delaunay gradient flow and homology inference for self-maps. Zbl 1479.55010 Bauer, U.; Edelsbrunner, H.; Jabłoński, G.; Mrozek, M. 5 2020 Directed topological complexity. Zbl 1479.55008 Goubault, Eric; Farber, Michael; Sagnier, Aurélien 5 2020 Moduli spaces of Morse functions for persistence. Zbl 1454.58011 Catanzaro, Michael J.; Curry, Justin M.; Fasy, Brittany Terese; Lazovskis, Jānis; Malen, Greg; Riess, Hans; Wang, Bei; Zabka, Matthew 4 2020 Every 1D persistence module is a restriction of some indecomposable 2D persistence module. Zbl 1460.16013 Buchet, Mickaël; Escolar, Emerson G. 3 2020 Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis. Zbl 1460.55007 Cang, Zixuan; Munch, Elizabeth; Wei, Guo-Wei 3 2020 Contractibility of a persistence map preimage. Zbl 1458.37083 Cyranka, Jacek; Mischaikow, Konstantin; Weibel, Charles 3 2020 Stabilizing the unstable output of persistent homology computations. Zbl 07240584 Bendich, Paul; Bubenik, Peter; Wagner, Alexander 3 2020 Directed topological complexity of spheres. Zbl 1479.55005 Borat, Ayşe; Grant, Mark 3 2020 Discrete configuration spaces of squares and hexagons. Zbl 1454.51016 Alpert, Hannah 2 2020 Tree decomposition of Reeb graphs, parametrized complexity, and applications to phylogenetics. Zbl 1452.55007 Stefanou, Anastasios 2 2020 A combinatorial method to compute explicit homology cycles using discrete Morse theory. Zbl 1441.57026 Kozlov, Dmitry N. 2 2020 Pair component categories for directed spaces. Zbl 1455.18002 Raussen, Martin 2 2020 A lower bound on the number of opinions needed for fault-tolerant decentralized run-time monitoring. Zbl 1435.68196 Fraigniaud, Pierre; Rajsbaum, Sergio; Travers, Corentin 2 2020 On the topology of complexes of injective words. Zbl 1437.05242 Chacholski, Wojtek; Levi, Ran; Meshulam, Roy 1 2020 The reach, metric distortion, geodesic convexity and the variation of tangent spaces. Zbl 1431.53043 Boissonnat, Jean-Daniel; Lieutier, André; Wintraecken, Mathijs 23 2019 Toward a spectral theory of cellular sheaves. Zbl 1439.05137 Hansen, Jakob; Ghrist, Robert 11 2019 On the choice of weight functions for linear representations of persistence diagrams. Zbl 1422.60024 Divol, Vincent; Polonik, Wolfgang 10 2019 Modelling persistence diagrams with planar point processes, and revealing topology with bagplots. Zbl 1441.62936 Adler, Robert J.; Agami, Sarit 6 2019 On the geometrical properties of the coherent matching distance in 2D persistent homology. Zbl 1440.55003 Cerri, Andrea; Ethier, Marc; Frosini, Patrizio 5 2019 Sparse Dowker nerves. Zbl 1431.55004 Brun, Morten; Blaser, Nello 4 2019 A comparison framework for interleaved persistence modules. Zbl 1443.55001 Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin 4 2019 The reflection distance between zigzag persistence modules. Zbl 1435.55002 Elchesen, Alexander; Mémoli, Facundo 3 2019 Approximation of quasi-states on manifolds. Zbl 07103893 Dickstein, Adi; Zapolsky, Frol 2 2019 Twisty Takens: a geometric characterization of good observations on dense trajectories. Zbl 1435.37101 Xu, Boyan; Tralie, Christopher J.; Antia, Alice; Lin, Michael; Perea, Jose A. 2 2019 A topological study of functional data and Fréchet functions of metric measure spaces. Zbl 1435.62449 Hang, Haibin; Mémoli, Facundo; Mio, Washington 2 2019 Topology of random geometric complexes: a survey. Zbl 1402.60015 Bobrowski, Omer; Kahle, Matthew 41 2018 Generalized persistence diagrams. Zbl 1398.18015 Patel, Amit 22 2018 Persistent homology and microlocal sheaf theory. Zbl 1423.55013 Kashiwara, Masaki; Schapira, Pierre 19 2018 The fiber of the persistence map for functions on the interval. Zbl 1426.55006 Curry, Justin 15 2018 A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038 Chowdhury, Samir; Mémoli, Facundo 15 2018 Topological spaces of persistence modules and their properties. Zbl 1423.55012 Bubenik, Peter; Vergili, Tane 13 2018 Persistence diagrams with linear machine learning models. Zbl 1405.62250 Obayashi, Ippei; Hiraoka, Yasuaki; Kimura, Masao 8 2018 Persistent homology and Euler integral transforms. Zbl 1461.58006 Ghrist, Robert; Levanger, Rachel; Mai, Huy 8 2018 Algorithms and complexity for Turaev-Viro invariants. Zbl 1470.57005 Burton, Benjamin A.; Maria, Clément; Spreer, Jonathan 4 2018 Labeled homology of higher-dimensional automata. Zbl 1423.55006 Kahl, Thomas 2 2018 Collapsibility of read/write models using discrete Morse theory. Zbl 1398.68359 Benavides, Fernando; Rajsbaum, Sergio 2 2018 The representation theorem of persistence revisited and generalized. Zbl 1469.16083 Corbet, René; Kerber, Michael 2 2018 Solving equations and optimization problems with uncertainty. Zbl 1416.65141 Franek, Peter; Krčál, Marek; Wagner, Hubert 1 2018 Inferring topology of quantum phase space. Zbl 1420.81018 Polterovich, Leonid 1 2018 Hypothesis testing for topological data analysis. Zbl 1396.62085 Robinson, Andrew; Turner, Katharine 18 2017 Topological complexity of the Klein bottle. Zbl 1400.55001 Cohen, Daniel C.; Vandembroucq, Lucile 17 2017 Topology of angle valued maps, bar codes and Jordan blocks. Zbl 1404.55009 Burghelea, Dan; Haller, Stefan 10 2017 Models of random knots. Zbl 1404.57007 Even-Zohar, Chaim 9 2017 A higher Boltzmann distribution. Zbl 1397.18034 Catanzaro, Michael J.; Chernyak, Vladimir Y.; Klein, John R. 8 2017 Numeric invariants from multidimensional persistence. Zbl 1439.55007 Skryzalin, Jacek; Carlsson, Gunnar 5 2017 Structure theory of flip graphs with applications to weak symmetry breaking. Zbl 1400.68157 Kozlov, Dmitry N. 1 2017 Comparing shapes of genus-zero surfaces. Zbl 1403.30015 Hass, Joel; Koehl, Patrice 1 2017 all cited Publications top 5 cited Publications all top 5 Cited by 565 Authors 9 Bubenik, Peter 9 Mémoli, Facundo 8 Adams, Henry 8 Dey, Tamal Krishna 7 Oudot, Steve Yann 6 Curry, Justin Michael 6 Davis, Donald M. 6 Owada, Takashi 6 Virk, Žiga 5 Boissonnat, Jean-Daniel 5 Burghelea, Dan 5 Catanzaro, Michael J. 5 Farber, Michael S. 5 Lesnick, Michael 5 Mrozek, Marian 5 Wei, Guowei 4 Chachólski, Wojciech 4 Even-Zohar, Chaim 4 Kim, Woojin 4 Lawson, Austin 4 Leygonie, Jacob 4 Lupton, Gregory M. 4 Maroulas, Vasileios 4 Mescher, Stephan 4 Raussen, Martin 4 Scoville, Nicholas A. 4 Tillmann, Ulrike 4 Wintraecken, Mathijs Hubertus Maria Johannes 4 Yogeshwaran, Dhandapani 3 Alpert, Hannah 3 Bergomi, Mattia Giuseppe 3 Berkouk, Nicolas 3 Bobrowski, Omer 3 Brun, Morten 3 Chowdhury, Samir 3 Cohen, Daniel C. 3 de Silva, Vin 3 Fasy, Brittany Terese 3 Gaucher, Philippe 3 Ghrist, Robert W. 3 Goubault, Eric 3 Grant, Mark 3 Hansen, Jakob K. 3 Hass, Joel 3 Kališnik Verovšek, Sara 3 Kerber, Michael 3 Kook, Woong 3 Krebs, Johannes T. N. 3 Lee, Kang-Ju 3 Lipiński, Michał 3 Maria, Clément 3 Mischaikow, Konstantin 3 Mukherjee, Sayan 3 Nasrin, Farzana 3 Obayashi, Ippei 3 Oprea, John F. 3 Perea, Jose A. 3 Recio-Mitter, David 3 Schapira, Pierre 3 Scoccola, Luis Nerio 3 Trinh Khanh Duy 3 Turner, Katharine 3 Vandembroucq, Lucile 3 Vergili, Tane 3 Wang, Bei 3 Wang, Yusu 3 Wu, Jie 2 Aamari, Eddie 2 Adler, Robert Joseph 2 Agami, Sarit 2 Bauer, Ulrich 2 Beltramo, Gabriele 2 Berenfeld, Clément 2 Borat, Ayşe 2 Butler, Svetlana V. 2 Cadavid-Aguilar, Natalia 2 Carrière, Mathieu 2 Chen, Yen-Chi 2 Chernyak, Vladimir Y. 2 Chung, Yu-Min 2 Crawford, Lorin 2 Divol, Vincent 2 Dranishnikov, Alexander Nikolaevich 2 Dyer, Ramsay 2 Elchesen, Alex 2 Espinoza, Jesús F. 2 Feichtner-Kozlov, Dimitry N. 2 Ferri, Massimo 2 Frías-Armenta, Martín Eduardo 2 Frosini, Patrizio 2 Garin, Adélie 2 Ghosh, Arijit 2 Giusti, Chad 2 Gonzalez, Jesus 2 Govc, Dejan 2 Hang, Haibin 2 Hanson, Eric J. 2 Harrington, Heather A. 2 Hess, Kathryn P. 2 Hirsch, Christian ...and 465 more Authors all top 5 Cited in 133 Journals 55 Journal of Applied and Computational Topology 20 Discrete & Computational Geometry 13 Algebraic & Geometric Topology 12 Foundations of Data Science 11 SIAM Journal on Applied Algebra and Geometry 9 Topology and its Applications 9 Computational Geometry 9 Foundations of Computational Mathematics 5 Proceedings of the American Mathematical Society 5 SIAM Journal on Applied Dynamical Systems 4 Theory and Applications of Categories 4 SIAM Journal on Mathematics of Data Science 3 Discrete Mathematics 3 Journal of Statistical Physics 3 Journal of Pure and Applied Algebra 3 The Annals of Applied Probability 3 Linear Algebra and its Applications 3 Topology Proceedings 3 Communications in Nonlinear Science and Numerical Simulation 3 The Annals of Applied Statistics 3 European Journal of Mathematics 2 Advances in Applied Probability 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Chaos, Solitons and Fractals 2 Advances in Mathematics 2 Fundamenta Mathematicae 2 Mathematische Zeitschrift 2 Advances in Applied Mathematics 2 Probability Theory and Related Fields 2 Forum Mathematicum 2 MSCS. Mathematical Structures in Computer Science 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Stochastic Processes and their Applications 2 Journal of Mathematical Sciences (New York) 2 The New York Journal of Mathematics 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Journal of Machine Learning Research (JMLR) 2 Mediterranean Journal of Mathematics 2 Mathematics in Computer Science 2 Journal of Topology and Analysis 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Statistics and Computing 2 Forum of Mathematics, Sigma 2 Annales Henri Lebesgue 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Letters in Mathematical Physics 1 Physics Reports 1 Bulletin of Mathematical Biology 1 The Annals of Statistics 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Demonstratio Mathematica 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Combinatorial Theory. Series A 1 Journal of Computational and Applied Mathematics 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Physica D 1 Order 1 Statistics 1 Information and Computation 1 Journal of Theoretical Probability 1 SIAM Journal on Discrete Mathematics 1 Neural Networks 1 Random Structures & Algorithms 1 Neural Computation 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computational Geometry & Applications 1 IMRN. International Mathematics Research Notices 1 Communications in Statistics. Simulation and Computation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Expositiones Mathematicae 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Distributed Computing 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Journal of Knot Theory and its Ramifications 1 Formal Methods in System Design 1 Topological Methods in Nonlinear Analysis 1 Applied and Computational Harmonic Analysis 1 Journal of the Egyptian Mathematical Society 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Advances in Computational Mathematics 1 Electronic Communications in Probability 1 Bernoulli 1 Journal of Nonparametric Statistics 1 Journal of Mathematical Chemistry 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Geometry & Topology ...and 33 more Journals all top 5 Cited in 45 Fields 237 Algebraic topology (55-XX) 81 Computer science (68-XX) 75 Statistics (62-XX) 65 Manifolds and cell complexes (57-XX) 57 Combinatorics (05-XX) 46 Probability theory and stochastic processes (60-XX) 28 Category theory; homological algebra (18-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 General topology (54-XX) 17 Differential geometry (53-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Biology and other natural sciences (92-XX) 10 Associative rings and algebras (16-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Algebraic geometry (14-XX) 9 Functional analysis (46-XX) 8 Commutative algebra (13-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 7 Partial differential equations (35-XX) 7 Geometry (51-XX) 6 Group theory and generalizations (20-XX) 6 Operations research, mathematical programming (90-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Convex and discrete geometry (52-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year