H. Edelsbrunner, Z. Virk, and H. Wagner, “Topological data analysis in information space,” Journal of Computational Geometry, vol. 11, no. 2. Carleton University, pp. 162–182, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9630
DOI: 10.20382/jocg.v11i2a7

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

J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL-approximations of isomanifolds,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
LibreCat: https://research-explorer.ista.ac.at/record/7952
DOI: 10.4230/LIPIcs.SoCG.2020.20

A. Akopyan and R. Karasev, “Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures,” in Geometric Aspects of Functional Analysis, vol. 2256, B. Klartag and E. Milman, Eds. 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

H. Edelsbrunner and A. Nikitenko, “Weighted Poisson–Delaunay mosaics,” Theory of Probability and its Applications, vol. 64, no. 4. SIAM, pp. 595–614, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7554
DOI: 10.1137/S0040585X97T989726
WoS: 000551393100007
arXiv: 1705.08735

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

J. Pach, B. Reed, and Y. Yuditsky, “Almost all string graphs are intersection graphs of plane convex sets,” Discrete and Computational Geometry, vol. 63, no. 4. Springer Nature, pp. 888–917, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7962
DOI: 10.1007/s00454-020-00213-z
WoS: 000538229000001
arXiv: 1803.06710

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

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

A. Akopyan and R. Karasev, “Waist of balls in hyperbolic and spherical spaces,” International Mathematics Research Notices, vol. 2020, no. 3. Oxford University Press, pp. 669–697, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/10867
DOI: 10.1093/imrn/rny037
WoS: 000522852700002
arXiv: 1702.07513

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

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

G. F. Osang, M. Rouxel-Labbé, and M. Teillaud, “Generalizing CGAL periodic Delaunay triangulations,” in 28th Annual European Symposium on Algorithms, Virtual, Online; Pisa, Italy, 2020, vol. 173.
LibreCat: https://research-explorer.ista.ac.at/record/8703
DOI: 10.4230/LIPIcs.ESA.2020.75

G. Vegter and M. Wintraecken, “Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes,” Studia Scientiarum Mathematicarum Hungarica, vol. 57, no. 2. Akadémiai Kiadó, pp. 193–199, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/8163
DOI: 10.1556/012.2020.57.2.1454
WoS: 000570978400005

A. Akopyan and H. Edelsbrunner, “The weighted mean curvature derivative of a space-filling diagram,” Computational and Mathematical Biophysics, vol. 8, no. 1. De Gruyter, pp. 51–67, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9157
DOI: 10.1515/cmb-2020-0100

A. Akopyan and H. Edelsbrunner, “The weighted Gaussian curvature derivative of a space-filling diagram,” Computational and Mathematical Biophysics, vol. 8, no. 1. De Gruyter, pp. 74–88, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9156
DOI: 10.1515/cmb-2020-0101
arXiv: 1908.06777

U. Bauer, H. Edelsbrunner, G. Jablonski, and M. Mrozek, “cech-Delaunay gradient flow and homology inference for self-maps,” Journal of Applied and Computational Topology, vol. 4, no. 4. Springer Nature, pp. 455–480, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

R. Dyer, G. Vegter, and M. Wintraecken, “Simplices modelled on spaces of constant curvature,” Journal of Computational Geometry , vol. 10, no. 1. Carleton University, pp. 223–256, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6515
DOI: 10.20382/jocg.v10i1a9

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

H. Edelsbrunner, Z. Virk, and H. Wagner, “Topological data analysis in information space,” in 35th International Symposium on Computational Geometry, Portland, OR, United States, 2019, vol. 129, p. 31:1-31:14.
LibreCat: https://research-explorer.ista.ac.at/record/6648
DOI: 10.4230/LIPICS.SOCG.2019.31
arXiv: 1903.08510

O. Aichholzer et al., “Folding polyominoes with holes into a cube,” in Proceedings of the 31st Canadian Conference on Computational Geometry, Edmonton, Canada, 2019, pp. 164–170.
LibreCat: https://research-explorer.ista.ac.at/record/6989
arXiv: 1910.09917

J.-D. Boissonnat, A. Lieutier, and M. Wintraecken, “The reach, metric distortion, geodesic convexity and the variation of tangent spaces,” Journal of Applied and Computational Topology, vol. 3, no. 1–2. Springer Nature, pp. 29–58, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6671
DOI: 10.1007/s41468-019-00029-8

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

A. Akopyan, A. Hubard, and R. Karasev, “Lower and upper bounds for the waists of different spaces,” Topological Methods in Nonlinear Analysis, vol. 53, no. 2. Akademicka Platforma Czasopism, pp. 457–490, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6634
DOI: 10.12775/TMNA.2019.008
WoS: 000472541600004
arXiv: 1612.06926

P. Pranav et al., “Unexpected topology of the temperature fluctuations in the cosmic microwave background,” Astronomy and Astrophysics, vol. 627. EDP Sciences, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6756
DOI: 10.1051/0004-6361/201834916
WoS: 000475839300003
arXiv: 1812.07678

A. Akopyan and I. Izmestiev, “The Regge symmetry, confocal conics, and the Schläfli formula,” Bulletin of the London Mathematical Society, vol. 51, no. 5. London Mathematical Society, pp. 765–775, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6793
DOI: 10.1112/blms.12276
WoS: 000478560200001
arXiv: 1903.04929

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

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

H. Edelsbrunner and A. Nikitenko, “Poisson–Delaunay Mosaics of Order k,” Discrete and Computational Geometry, vol. 62, no. 4. Springer, pp. 865–878, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/5678
DOI: 10.1007/s00454-018-0049-2
WoS: 000494042900008
arXiv: 1709.09380

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

A. Biniaz et al., “Token swapping on trees,” arXiv. .
LibreCat: https://research-explorer.ista.ac.at/record/7950
arXiv: 1903.06981

H. Edelsbrunner, Z. Virk, and H. Wagner, “Smallest enclosing spheres and Chernoff points in Bregman geometry,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99, p. 35:1-35:13.
LibreCat: https://research-explorer.ista.ac.at/record/188
DOI: 10.4230/LIPIcs.SoCG.2018.35

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

H. Edelsbrunner and G. F. Osang, “The multi-cover persistence of Euclidean balls,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99.
LibreCat: https://research-explorer.ista.ac.at/record/187
DOI: 10.4230/LIPIcs.SoCG.2018.34

A. Akopyan, “-Webs generated by confocal conics and circles,” Geometriae Dedicata, vol. 194, no. 1. Springer, pp. 55–64, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/692
DOI: 10.1007/s10711-017-0265-6
WoS: 000431418800004

A. Akopyan and E. Segal Halevi, “Counting blanks in polygonal arrangements,” SIAM Journal on Discrete Mathematics, vol. 32, no. 3. Society for Industrial and Applied Mathematics , pp. 2242–2257, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/58
DOI: 10.1137/16M110407X
WoS: 000450810500036
arXiv: 1604.00960

A. Akopyan and A. Bobenko, “Incircular nets and confocal conics,” Transactions of the American Mathematical Society, vol. 370, no. 4. American Mathematical Society, pp. 2825–2854, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/458
DOI: 10.1090/tran/7292
WoS: 000423197800019

A. Akopyan and A. Petrunin, “Long geodesics on convex surfaces,” Mathematical Intelligencer, vol. 40, no. 3. Springer, pp. 26–31, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/106
DOI: 10.1007/s00283-018-9795-5
WoS: 000444141200005
arXiv: 1702.05172

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

J. F. Alwen et al., “On the memory hardness of data independent password hashing functions,” in Proceedings of the 2018 on Asia Conference on Computer and Communication Security, Incheon, Republic of Korea, 2018, pp. 51–65.
LibreCat: https://research-explorer.ista.ac.at/record/193
DOI: 10.1145/3196494.3196534
WoS: 000516620100005

H. Edelsbrunner and M. Iglesias Ham, “On the optimality of the FCC lattice for soft sphere packing,” SIAM J Discrete Math, vol. 32, no. 1. Society for Industrial and Applied Mathematics , pp. 750–782, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/312
DOI: 10.1137/16M1097201
WoS: 000428958900038

A. Akopyan, “On the number of non-hexagons in a planar tiling,” Comptes Rendus Mathematique, vol. 356, no. 4. Elsevier, pp. 412–414, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/409
DOI: 10.1016/j.crma.2018.03.005
WoS: 000430402700009
arXiv: 1805.01652

H. Edelsbrunner and A. Nikitenko, “Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics,” Annals of Applied Probability, vol. 28, no. 5. Institute of Mathematical Statistics, pp. 3215–3238, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/87
DOI: 10.1214/18-AAP1389
WoS: 000442893500018
arXiv: 1705.02870

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

A. Akopyan, A. Balitskiy, and M. Grigorev, “On the circle covering theorem by A.W. Goodman and R.E. Goodman,” Discrete &; Computational Geometry, vol. 59, no. 4. Springer, pp. 1001–1009, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/1064
DOI: 10.1007/s00454-017-9883-x
WoS: 000432205500011

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

T. Biedl, S. Huber, and P. Palfrader, “Planar matchings for weighted straight skeletons,” International Journal of Computational Geometry and Applications, vol. 26, no. 3–4. World Scientific Publishing, pp. 211–229, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/481
DOI: 10.1142/S0218195916600050

K. Austin and Z. Virk, “Higson compactification and dimension raising,” Topology and its Applications, vol. 215. Elsevier, pp. 45–57, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/521
DOI: 10.1016/j.topol.2016.10.005

P. Franek and M. Krcál, “Persistence of zero sets,” Homology, Homotopy and Applications, vol. 19, no. 2. International Press, pp. 313–342, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/568
DOI: 10.4310/HHA.2017.v19.n2.a16

R. Biswas and P. Bhowmick, “Construction of persistent Voronoi diagram on 3D digital plane,” in Combinatorial image analysis, vol. 10256, Cham: Springer Nature, 2017, pp. 93–104.
LibreCat: https://research-explorer.ista.ac.at/record/5803
DOI: 10.1007/978-3-319-59108-7_8