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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

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

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 490 times in 357 Documents Cited by Year
Topology of random geometric complexes: a survey. Zbl 1402.60015
Bobrowski, Omer; Kahle, Matthew
42
2018
Ripser: efficient computation of Vietoris-Rips persistence barcodes. Zbl 1476.55012
Bauer, Ulrich
30
2021
Generalized persistence diagrams. Zbl 1398.18015
Patel, Amit
23
2018
The reach, metric distortion, geodesic convexity and the variation of tangent spaces. Zbl 1431.53043
Boissonnat, Jean-Daniel; Lieutier, André; Wintraecken, Mathijs
23
2019
Persistent homology and microlocal sheaf theory. Zbl 1423.55013
Kashiwara, Masaki; Schapira, Pierre
20
2018
Topological complexity of the Klein bottle. Zbl 1400.55001
Cohen, Daniel C.; Vandembroucq, Lucile
18
2017
Hypothesis testing for topological data analysis. Zbl 1396.62085
Robinson, Andrew; Turner, Katharine
18
2017
A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038
Chowdhury, Samir; Mémoli, Facundo
16
2018
The fiber of the persistence map for functions on the interval. Zbl 1426.55006
Curry, Justin
16
2018
Topological spaces of persistence modules and their properties. Zbl 1423.55012
Bubenik, Peter; Vergili, Tane
14
2018
Toward a spectral theory of cellular sheaves. Zbl 1439.05137
Hansen, Jakob; Ghrist, Robert
12
2019
Generalized persistence diagrams for persistence modules over posets. Zbl 1500.55004
Kim, Woojin; Mémoli, Facundo
11
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
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
Persistent homology and Euler integral transforms. Zbl 1461.58006
Ghrist, Robert; Levanger, Rachel; Mai, Huy
8
2018
Persistence diagrams with linear machine learning models. Zbl 1405.62250
Obayashi, Ippei; Hiraoka, Yasuaki; Kimura, Masao
8
2018
A higher Boltzmann distribution. Zbl 1397.18034
Catanzaro, Michael J.; Chernyak, Vladimir Y.; Klein, John R.
8
2017
Geodesic complexity of motion planning. Zbl 1485.53050
Recio-Mitter, David
8
2021
Functional summaries of persistence diagrams. Zbl 1452.62999
Berry, Eric; Chen, Yen-Chi; Cisewski-Kehe, Jessi; Fasy, Brittany Terese
7
2020
Spaces of directed paths on pre-cubical sets II. Zbl 1436.55014
Ziemiański, Krzysztof
7
2020
Embeddings of persistence diagrams into Hilbert spaces. Zbl 1455.55006
Bubenik, Peter; Wagner, Alexander
7
2020
A fundamental group for digital images. Zbl 1481.55008
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
7
2021
Modelling persistence diagrams with planar point processes, and revealing topology with bagplots. Zbl 1441.62936
Adler, Robert J.; Agami, Sarit
6
2019
Virtual persistence diagrams, signed measures, Wasserstein distances, and Banach spaces. Zbl 1516.55005
Bubenik, Peter; Elchesen, Alex
6
2022
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
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
A comparison framework for interleaved persistence modules. Zbl 1443.55001
Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin
5
2019
A computational framework for connection matrix theory. Zbl 1487.37018
Harker, Shaun; Mischaikow, Konstantin; Spendlove, Kelly
5
2021
Algorithms and complexity for Turaev-Viro invariants. Zbl 1470.57005
Burton, Benjamin A.; Maria, Clément; Spreer, Jonathan
4
2018
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. Zbl 1530.37037
Lipiński, Michał; Kubica, Jacek; Mrozek, Marian; Wanner, Thomas
4
2023
On Vietoris-Rips complexes of hypercube graphs. Zbl 1490.05279
Adamaszek, Michał; Adams, Henry
4
2022
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
Sparse Dowker nerves. Zbl 1431.55004
Brun, Morten; Blaser, Nello
4
2019
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
Discrete configuration spaces of squares and hexagons. Zbl 1454.51016
Alpert, Hannah
3
2020
Stabilizing the unstable output of persistent homology computations. Zbl 07240584
Bendich, Paul; Bubenik, Peter; Wagner, Alexander
3
2020
The reflection distance between zigzag persistence modules. Zbl 1435.55002
Elchesen, Alexander; Mémoli, Facundo
3
2019
Directed topological complexity of spheres. Zbl 1479.55005
Borat, Ayşe; Grant, Mark
3
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
3
2020
Every 1D persistence module is a restriction of some indecomposable 2D persistence module. Zbl 1460.16013
Buchet, Mickaël; Escolar, Emerson G.
3
2020
Generalized persistence algorithm for decomposing multiparameter persistence modules. Zbl 1502.55005
Dey, Tamal K.; Xin, Cheng
3
2022
Configuration spaces of disks in an infinite strip. Zbl 1480.55015
Alpert, Hannah; Kahle, Matthew; MacPherson, Robert
3
2021
Probabilistic convergence and stability of random mapper graphs. Zbl 1482.55006
Brown, Adam; Bobrowski, Omer; Munch, Elizabeth; Wang, Bei
3
2021
Tree decomposition of Reeb graphs, parametrized complexity, and applications to phylogenetics. Zbl 1452.55007
Stefanou, Anastasios
2
2020
The representation theorem of persistence revisited and generalized. Zbl 1469.16083
Corbet, René; Kerber, Michael
2
2018
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
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
Computing persistent Stiefel-Whitney classes of line bundles. Zbl 1493.55004
Tinarrage, Raphaël
2
2022
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
Collapsibility of read/write models using discrete Morse theory. Zbl 1398.68359
Benavides, Fernando; Rajsbaum, Sergio
2
2018
Labeled homology of higher-dimensional automata. Zbl 1423.55006
Kahl, Thomas
2
2018
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
Inferring topology of quantum phase space. Zbl 1420.81018
Polterovich, Leonid
1
2018
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
On the topology of complexes of injective words. Zbl 1437.05242
Chacholski, Wojtek; Levi, Ran; Meshulam, Roy
1
2020
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
Constructible sheaves and functions up to infinity. Zbl 07772362
Schapira, Pierre
1
2023
Solving equations and optimization problems with uncertainty. Zbl 1416.65141
Franek, Peter; Krčál, Marek; Wagner, Hubert
1
2018
An algorithmic approach to the asynchronous computability theorem. Zbl 1398.68372
Saraph, Vikram; Herlihy, Maurice; Gafni, Eli
1
2018
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
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
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
Conley-Morse-Forman theory for generalized combinatorial multivector fields on finite topological spaces. Zbl 1530.37037
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
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
Constructible sheaves and functions up to infinity. Zbl 07772362
Schapira, Pierre
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
30
2021
Generalized persistence diagrams for persistence modules over posets. Zbl 1500.55004
Kim, Woojin; Mémoli, Facundo
11
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
Geodesic complexity of motion planning. Zbl 1485.53050
Recio-Mitter, David
8
2021
A fundamental group for digital images. Zbl 1481.55008
Lupton, Gregory; Oprea, John; Scoville, Nicholas A.
7
2021
A computational framework for connection matrix theory. Zbl 1487.37018
Harker, Shaun; Mischaikow, Konstantin; Spendlove, Kelly
5
2021
Configuration spaces of disks in an infinite strip. Zbl 1480.55015
Alpert, Hannah; Kahle, Matthew; MacPherson, Robert
3
2021
Probabilistic convergence and stability of random mapper graphs. Zbl 1482.55006
Brown, Adam; Bobrowski, Omer; Munch, Elizabeth; Wang, Bei
3
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
Functional summaries of persistence diagrams. Zbl 1452.62999
Berry, Eric; Chen, Yen-Chi; Cisewski-Kehe, Jessi; Fasy, Brittany Terese
7
2020
Spaces of directed paths on pre-cubical sets II. Zbl 1436.55014
Ziemiański, Krzysztof
7
2020
Embeddings of persistence diagrams into Hilbert spaces. Zbl 1455.55006
Bubenik, Peter; Wagner, Alexander
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
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
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
Discrete configuration spaces of squares and hexagons. Zbl 1454.51016
Alpert, Hannah
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
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
3
2020
Every 1D persistence module is a restriction of some indecomposable 2D persistence module. Zbl 1460.16013
Buchet, Mickaël; Escolar, Emerson G.
3
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
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
12
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
A comparison framework for interleaved persistence modules. Zbl 1443.55001
Harker, Shaun; Kramár, Miroslav; Levanger, Rachel; Mischaikow, Konstantin
5
2019
Sparse Dowker nerves. Zbl 1431.55004
Brun, Morten; Blaser, Nello
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
42
2018
Generalized persistence diagrams. Zbl 1398.18015
Patel, Amit
23
2018
Persistent homology and microlocal sheaf theory. Zbl 1423.55013
Kashiwara, Masaki; Schapira, Pierre
20
2018
A functorial Dowker theorem and persistent homology of asymmetric networks. Zbl 1423.55038
Chowdhury, Samir; Mémoli, Facundo
16
2018
The fiber of the persistence map for functions on the interval. Zbl 1426.55006
Curry, Justin
16
2018
Topological spaces of persistence modules and their properties. Zbl 1423.55012
Bubenik, Peter; Vergili, Tane
14
2018
Persistent homology and Euler integral transforms. Zbl 1461.58006
Ghrist, Robert; Levanger, Rachel; Mai, Huy
8
2018
Persistence diagrams with linear machine learning models. Zbl 1405.62250
Obayashi, Ippei; Hiraoka, Yasuaki; Kimura, Masao
8
2018
Algorithms and complexity for Turaev-Viro invariants. Zbl 1470.57005
Burton, Benjamin A.; Maria, Clément; Spreer, Jonathan
4
2018
The representation theorem of persistence revisited and generalized. Zbl 1469.16083
Corbet, René; Kerber, Michael
2
2018
Collapsibility of read/write models using discrete Morse theory. Zbl 1398.68359
Benavides, Fernando; Rajsbaum, Sergio
2
2018
Labeled homology of higher-dimensional automata. Zbl 1423.55006
Kahl, Thomas
2
2018
Inferring topology of quantum phase space. Zbl 1420.81018
Polterovich, Leonid
1
2018
Solving equations and optimization problems with uncertainty. Zbl 1416.65141
Franek, Peter; Krčál, Marek; Wagner, Hubert
1
2018
An algorithmic approach to the asynchronous computability theorem. Zbl 1398.68372
Saraph, Vikram; Herlihy, Maurice; Gafni, Eli
1
2018
Topological complexity of the Klein bottle. Zbl 1400.55001
Cohen, Daniel C.; Vandembroucq, Lucile
18
2017
Hypothesis testing for topological data analysis. Zbl 1396.62085
Robinson, Andrew; Turner, Katharine
18
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 top 5

Cited by 582 Authors

11 Mémoli, Facundo
9 Adams, Henry
9 Bubenik, Peter
8 Davis, Donald M.
8 Dey, Tamal Krishna
7 Oudot, Steve Yann
6 Curry, Justin Michael
6 Lesnick, Michael
6 Owada, Takashi
6 Virk, Žiga
5 Boissonnat, Jean-Daniel
5 Burghelea, Dan
5 Catanzaro, Michael J.
5 Farber, Michael S.
5 Mrozek, Marian
5 Wei, Guowei
4 Alpert, Hannah
4 Chachólski, Wojciech
4 Even-Zohar, Chaim
4 Gaucher, Philippe
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 Bergomi, Mattia Giuseppe
3 Berkouk, Nicolas
3 Bobrowski, Omer
3 Brun, Morten
3 Cadavid-Aguilar, Natalia
3 Chowdhury, Samir
3 Cohen, Daniel C.
3 de Silva, Vin
3 Fasy, Brittany Terese
3 Ghrist, Robert W.
3 Gonzalez, Jesus
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 MacPherson, Robert Duncan
3 Maria, Clément
3 Mischaikow, Konstantin
3 Mukherjee, Sayan
3 Nasrin, Farzana
3 Obayashi, Ippei
3 Okutan, Osman Berat
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 Blumberg, Andrew J.
2 Borat, Ayşe
2 Butler, Svetlana V.
2 Carrière, Mathieu
2 Chen, Yen-Chi
2 Chernyak, Vladimir Y.
2 Chung, Yu-Min
2 Crawford, Lorin
2 Divol, Vincent
2 Dłotko, Paweł
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 Govc, Dejan
2 Hang, Haibin
...and 482 more Authors
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Cited in 135 Journals

55 Journal of Applied and Computational Topology
21 Discrete & Computational Geometry
15 Algebraic & Geometric Topology
12 Foundations of Data Science
11 Foundations of Computational Mathematics
11 SIAM Journal on Applied Algebra and Geometry
9 Topology and its Applications
9 Computational Geometry
5 Proceedings of the American Mathematical Society
5 Theory and Applications of Categories
5 SIAM Journal on Applied Dynamical Systems
4 Linear Algebra and its Applications
4 SIAM Journal on Mathematics of Data Science
3 Discrete Mathematics
3 Journal of Statistical Physics
3 Advances in Mathematics
3 Journal of Pure and Applied Algebra
3 The Annals of Applied Probability
3 Topology Proceedings
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Communications in Nonlinear Science and Numerical Simulation
3 The Annals of Applied Statistics
3 Journal of Topology and Analysis
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 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 Geometry & Topology
2 Journal of Machine Learning Research (JMLR)
2 Mediterranean Journal of Mathematics
2 Mathematics in Computer Science
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
...and 35 more Journals
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Cited in 46 Fields

248 Algebraic topology (55-XX)
86 Computer science (68-XX)
76 Statistics (62-XX)
69 Manifolds and cell complexes (57-XX)
58 Combinatorics (05-XX)
47 Probability theory and stochastic processes (60-XX)
32 Category theory; homological algebra (18-XX)
21 Differential geometry (53-XX)
20 General topology (54-XX)
19 Dynamical systems and ergodic theory (37-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Associative rings and algebras (16-XX)
11 Biology and other natural sciences (92-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 Geometry (51-XX)
8 Numerical analysis (65-XX)
7 Partial differential equations (35-XX)
6 Group theory and generalizations (20-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Convex and discrete geometry (52-XX)
6 Operations research, mathematical programming (90-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Measure and integration (28-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
3 Mechanics of particles and systems (70-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 Integral transforms, operational calculus (44-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)

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