Topological data analysis in information space
H. Edelsbrunner, Z. Virk, H. Wagner, Journal of Computational Geometry 11 (2020) 162–182.
LibreCat: https://research-explorer.ista.ac.at/record/9630
DOI: 10.20382/jocg.v11i2a7

Billiards in ellipses revisited
A. Akopyan, R. Schwartz, S. Tabachnikov, European Journal of Mathematics (2020).
LibreCat: https://research-explorer.ista.ac.at/record/8538
DOI: 10.1007/s40879-020-00426-9
arXiv: 2001.02934

The topological correctness of PL-approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7952
DOI: 10.4230/LIPIcs.SoCG.2020.20

Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures
A. Akopyan, R. Karasev, in:, B. Klartag, E. Milman (Eds.), Geometric Aspects of Functional Analysis, Springer Nature, 2020, pp. 1–27.
LibreCat: https://research-explorer.ista.ac.at/record/74
DOI: 10.1007/978-3-030-36020-7_1
WoS: 000557689300003
arXiv: 1808.07350

Weighted Poisson–Delaunay mosaics
H. Edelsbrunner, A. Nikitenko, Theory of Probability and Its Applications 64 (2020) 595–614.
LibreCat: https://research-explorer.ista.ac.at/record/7554
DOI: 10.1137/S0040585X97T989726
WoS: 000551393100007
arXiv: 1705.08735

Tri-partitions and bases of an ordered complex
H. Edelsbrunner, K. Ölsböck, Discrete and Computational Geometry 64 (2020) 759–775.
LibreCat: https://research-explorer.ista.ac.at/record/7666
DOI: 10.1007/s00454-020-00188-x
WoS: 000520918800001

Almost all string graphs are intersection graphs of plane convex sets
J. Pach, B. Reed, Y. Yuditsky, Discrete and Computational Geometry 63 (2020) 888–917.
LibreCat: https://research-explorer.ista.ac.at/record/7962
DOI: 10.1007/s00454-020-00213-z
WoS: 000538229000001
arXiv: 1803.06710

A farewell to Ricky Pollack
J. Pach, Discrete and Computational Geometry 64 (2020) 571–574.
LibreCat: https://research-explorer.ista.ac.at/record/8323
DOI: 10.1007/s00454-020-00237-5
WoS: 000561483500001

The application of persistent homology in the analysis of heart rate variability
G. Graff, B. Graff, G. Jablonski, K. Narkiewicz, in:, 11th Conference of the European Study Group on Cardiovascular Oscillations: Computation and Modelling in Physiology: New Challenges and Opportunities, , IEEE, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/8580
DOI: 10.1109/ESGCO49734.2020.9158054
WoS: 000621172600045

Waist of balls in hyperbolic and spherical spaces
A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020) 669–697.
LibreCat: https://research-explorer.ista.ac.at/record/10867
DOI: 10.1093/imrn/rny037
WoS: 000522852700002
arXiv: 1702.07513

The hole system of triangulated shapes
K. Ölsböck, The Hole System of Triangulated Shapes, Institute of Science and Technology Austria, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7460
DOI: 10.15479/AT:ISTA:7460

Reconfiguration problems
Z. Masárová, Reconfiguration Problems, Institute of Science and Technology Austria, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7944
DOI: 10.15479/AT:ISTA:7944

Generalizing CGAL periodic Delaunay triangulations
G.F. Osang, M. Rouxel-Labbé, M. Teillaud, in:, 28th Annual European Symposium on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/8703
DOI: 10.4230/LIPIcs.ESA.2020.75

Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes
G. Vegter, M. Wintraecken, Studia Scientiarum Mathematicarum Hungarica 57 (2020) 193–199.
LibreCat: https://research-explorer.ista.ac.at/record/8163
DOI: 10.1556/012.2020.57.2.1454
WoS: 000570978400005

The weighted mean curvature derivative of a space-filling diagram
A. Akopyan, H. Edelsbrunner, Computational and Mathematical Biophysics 8 (2020) 51–67.
LibreCat: https://research-explorer.ista.ac.at/record/9157
DOI: 10.1515/cmb-2020-0100

The weighted Gaussian curvature derivative of a space-filling diagram
A. Akopyan, H. Edelsbrunner, Computational and Mathematical Biophysics 8 (2020) 74–88.
LibreCat: https://research-explorer.ista.ac.at/record/9156
DOI: 10.1515/cmb-2020-0101
arXiv: 1908.06777

cech-Delaunay gradient flow and homology inference for self-maps
U. Bauer, H. Edelsbrunner, G. Jablonski, M. Mrozek, Journal of Applied and Computational Topology 4 (2020) 455–480.
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

Simplices modelled on spaces of constant curvature
R. Dyer, G. Vegter, M. Wintraecken, Journal of Computational Geometry  10 (2019) 223–256.
LibreCat: https://research-explorer.ista.ac.at/record/6515
DOI: 10.20382/jocg.v10i1a9

The extrinsic nature of the Hausdorff distance of optimal triangulations of manifolds
G. Vegter, M. Wintraecken, in:, The 31st Canadian Conference in Computational Geometry, 2019, pp. 275–279.
LibreCat: https://research-explorer.ista.ac.at/record/6628

Topological data analysis in information space
H. Edelsbrunner, Z. Virk, H. Wagner, in:, 35th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 31:1-31:14.
LibreCat: https://research-explorer.ista.ac.at/record/6648
DOI: 10.4230/LIPICS.SOCG.2019.31
arXiv: 1903.08510

Folding polyominoes with holes into a cube
O. Aichholzer, H.A. Akitaya, K.C. Cheung, E.D. Demaine, M.L. Demaine, S.P. Fekete, L. Kleist, I. Kostitsyna, M. Löffler, Z. Masárová, K. Mundilova, C. Schmidt, in:, Proceedings of the 31st Canadian Conference on Computational Geometry, Canadian Conference on Computational Geometry, 2019, pp. 164–170.
LibreCat: https://research-explorer.ista.ac.at/record/6989
arXiv: 1910.09917

The reach, metric distortion, geodesic convexity and the variation of tangent spaces
J.-D. Boissonnat, A. Lieutier, M. Wintraecken, Journal of Applied and Computational Topology 3 (2019) 29–58.
LibreCat: https://research-explorer.ista.ac.at/record/6671
DOI: 10.1007/s41468-019-00029-8

Two circles and only a straightedge
A. Akopyan, R. Fedorov, Proceedings of the American Mathematical Society 147 (2019) 91–102.
LibreCat: https://research-explorer.ista.ac.at/record/6050
DOI: 10.1090/proc/14240
WoS: 000450363900008
arXiv: 1709.02562

Lower and upper bounds for the waists of different spaces
A. Akopyan, A. Hubard, R. Karasev, Topological Methods in Nonlinear Analysis 53 (2019) 457–490.
LibreCat: https://research-explorer.ista.ac.at/record/6634
DOI: 10.12775/TMNA.2019.008
WoS: 000472541600004
arXiv: 1612.06926

Unexpected topology of the temperature fluctuations in the cosmic microwave background
P. Pranav, R.J. Adler, T. Buchert, H. Edelsbrunner, B.J.T. Jones, A. Schwartzman, H. Wagner, R. Van De Weygaert, Astronomy and Astrophysics 627 (2019).
LibreCat: https://research-explorer.ista.ac.at/record/6756
DOI: 10.1051/0004-6361/201834916
WoS: 000475839300003
arXiv: 1812.07678

The Regge symmetry, confocal conics, and the Schläfli formula
A. Akopyan, I. Izmestiev, Bulletin of the London Mathematical Society 51 (2019) 765–775.
LibreCat: https://research-explorer.ista.ac.at/record/6793
DOI: 10.1112/blms.12276
WoS: 000478560200001
arXiv: 1903.04929

Arakawa-Suzuki functors for Whittaker modules
A. Brown, Journal of Algebra 538 (2019) 261–289.
LibreCat: https://research-explorer.ista.ac.at/record/6828
DOI: 10.1016/j.jalgebra.2019.07.027
WoS: 000487176300011
arXiv: 1805.04676

LiveTraVeL: Real-time matching of transit vehicle trajectories to transit routes at scale
G.F. Osang, J. Cook, A. Fabrikant, M. Gruteser, in:, 2019 IEEE Intelligent Transportation Systems Conference, IEEE, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/7216
DOI: 10.1109/ITSC.2019.8917514
WoS: 000521238102050

Poisson–Delaunay Mosaics of Order k
H. Edelsbrunner, A. Nikitenko, Discrete and Computational Geometry 62 (2019) 865–878.
LibreCat: https://research-explorer.ista.ac.at/record/5678
DOI: 10.1007/s00454-018-0049-2
WoS: 000494042900008
arXiv: 1709.09380

Holes and dependences in an ordered complex
H. Edelsbrunner, K. Ölsböck, Computer Aided Geometric Design 73 (2019) 1–15.
LibreCat: https://research-explorer.ista.ac.at/record/6608
DOI: 10.1016/j.cagd.2019.06.003
WoS: 000485207800001

Token swapping on trees
A. Biniaz, K. Jain, A. Lubiw, Z. Masárová, T. Miltzow, D. Mondal, A.M. Naredla, J. Tkadlec, A. Turcotte, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/7950
arXiv: 1903.06981

Smallest enclosing spheres and Chernoff points in Bregman geometry
H. Edelsbrunner, Z. Virk, H. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 35:1-35:13.
LibreCat: https://research-explorer.ista.ac.at/record/188
DOI: 10.4230/LIPIcs.SoCG.2018.35

Multiple covers with balls
M. Iglesias Ham, Multiple Covers with Balls, Institute of Science and Technology Austria, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/201
DOI: 10.15479/AT:ISTA:th_1026

The multi-cover persistence of Euclidean balls
H. Edelsbrunner, G.F. Osang, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/187
DOI: 10.4230/LIPIcs.SoCG.2018.34

3-Webs generated by confocal conics and circles
A. Akopyan, Geometriae Dedicata 194 (2018) 55–64.
LibreCat: https://research-explorer.ista.ac.at/record/692
DOI: 10.1007/s10711-017-0265-6
WoS: 000431418800004

Counting blanks in polygonal arrangements
A. Akopyan, E. Segal Halevi, SIAM Journal on Discrete Mathematics 32 (2018) 2242–2257.
LibreCat: https://research-explorer.ista.ac.at/record/58
DOI: 10.1137/16M110407X
WoS: 000450810500036
arXiv: 1604.00960

Incircular nets and confocal conics
A. Akopyan, A. Bobenko, Transactions of the American Mathematical Society 370 (2018) 2825–2854.
LibreCat: https://research-explorer.ista.ac.at/record/458
DOI: 10.1090/tran/7292
WoS: 000423197800019

Long geodesics on convex surfaces
A. Akopyan, A. Petrunin, Mathematical Intelligencer 40 (2018) 26–31.
LibreCat: https://research-explorer.ista.ac.at/record/106
DOI: 10.1007/s00283-018-9795-5
WoS: 000444141200005
arXiv: 1702.05172

Multiple covers with balls I: Inclusion–exclusion
H. Edelsbrunner, M. Iglesias Ham, Computational Geometry: Theory and Applications 68 (2018) 119–133.
LibreCat: https://research-explorer.ista.ac.at/record/530
DOI: 10.1016/j.comgeo.2017.06.014
WoS: 000415778300010

On the memory hardness of data independent password hashing functions
J.F. Alwen, P. Gazi, C. Kamath Hosdurg, K. Klein, G.F. Osang, K.Z. Pietrzak, L. Reyzin, M. Rolinek, M. Rybar, in:, Proceedings of the 2018 on Asia Conference on Computer and Communication Security, ACM, 2018, pp. 51–65.
LibreCat: https://research-explorer.ista.ac.at/record/193
DOI: 10.1145/3196494.3196534
WoS: 000516620100005

On the optimality of the FCC lattice for soft sphere packing
H. Edelsbrunner, M. Iglesias Ham, SIAM J Discrete Math 32 (2018) 750–782.
LibreCat: https://research-explorer.ista.ac.at/record/312
DOI: 10.1137/16M1097201
WoS: 000428958900038

On the number of non-hexagons in a planar tiling
A. Akopyan, Comptes Rendus Mathematique 356 (2018) 412–414.
LibreCat: https://research-explorer.ista.ac.at/record/409
DOI: 10.1016/j.crma.2018.03.005
WoS: 000430402700009
arXiv: 1805.01652

Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics
H. Edelsbrunner, A. Nikitenko, Annals of Applied Probability 28 (2018) 3215–3238.
LibreCat: https://research-explorer.ista.ac.at/record/87
DOI: 10.1214/18-AAP1389
WoS: 000442893500018
arXiv: 1705.02870

Any cyclic quadrilateral can be inscribed in any closed convex smooth curve
A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).
LibreCat: https://research-explorer.ista.ac.at/record/6355
DOI: 10.1017/fms.2018.7
WoS: 000433915500001
arXiv: 1712.10205

On the circle covering theorem by A.W. Goodman and R.E. Goodman
A. Akopyan, A. Balitskiy, M. Grigorev, Discrete &; Computational Geometry 59 (2018) 1001–1009.
LibreCat: https://research-explorer.ista.ac.at/record/1064
DOI: 10.1007/s00454-017-9883-x
WoS: 000432205500011

Convex fair partitions into arbitrary number of pieces
A. Akopyan, S. Avvakumov, R. Karasev, (2018).
LibreCat: https://research-explorer.ista.ac.at/record/75
DOI: 10.48550/arXiv.1804.03057
arXiv: 1804.03057

Planar matchings for weighted straight skeletons
T. Biedl, S. Huber, P. Palfrader, International Journal of Computational Geometry and Applications 26 (2017) 211–229.
LibreCat: https://research-explorer.ista.ac.at/record/481
DOI: 10.1142/S0218195916600050

Higson compactification and dimension raising
K. Austin, Z. Virk, Topology and Its Applications 215 (2017) 45–57.
LibreCat: https://research-explorer.ista.ac.at/record/521
DOI: 10.1016/j.topol.2016.10.005

Persistence of zero sets
P. Franek, M. Krcál, Homology, Homotopy and Applications 19 (2017) 313–342.
LibreCat: https://research-explorer.ista.ac.at/record/568
DOI: 10.4310/HHA.2017.v19.n2.a16

Construction of persistent Voronoi diagram on 3D digital plane
R. Biswas, P. Bhowmick, in:, Combinatorial Image Analysis, Springer Nature, Cham, 2017, pp. 93–104.
LibreCat: https://research-explorer.ista.ac.at/record/5803
DOI: 10.1007/978-3-319-59108-7_8