Golmakani, Ali, Stefano Luzzatto, and Pawel Pilarczyk. “Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family.”https://doi.org/10.1080/10586458.2015.1048011__Experimental Mathematics. Taylor and Francis, 2016.https://doi.org/10.1080/10586458.2015.1048011 .

Held, Martin, Stefan Huber, and Peter Palfrader. “Generalized Offsetting of Planar Structures Using Skeletons.”https://doi.org/10.1080/16864360.2016.1150718__Computer-Aided Design and Applications. Taylor and Francis, 2016.https://doi.org/10.1080/16864360.2016.1150718 .

Edelsbrunner, Herbert, and Mabel Iglesias Ham. “Multiple Covers with Balls II: Weighted Averages.”https://doi.org/10.1016/j.endm.2016.09.030__Electronic Notes in Discrete Mathematics. Elsevier, 2016.https://doi.org/10.1016/j.endm.2016.09.030 .

Durst, Sebastian, Marc Kegel, and Mirko D Klukas. “Computing the Thurston–Bennequin Invariant in Open Books.”https://doi.org/10.1007/s10474-016-0648-4__Acta Mathematica Hungarica. Springer, 2016.https://doi.org/10.1007/s10474-016-0648-4 .

Akopyan, Arseniy, and Alexey Balitskiy. “Billiards in Convex Bodies with Acute Angles.”https://doi.org/10.1007/s11856-016-1429-z__Israel Journal of Mathematics. Springer, 2016.https://doi.org/10.1007/s11856-016-1429-z .

Akopyan, Arseniy, Alexey Balitskiy, Roman Karasev, and Anastasia Sharipova. “Elementary Approach to Closed Billiard Trajectories in Asymmetric Normed Spaces.”https://doi.org/10.1090/proc/13062__Proceedings of the American Mathematical Society. American Mathematical Society, 2016.https://doi.org/10.1090/proc/13062 .

Franek, Peter, and Marek Krcál. “On Computability and Triviality of Well Groups.”https://doi.org/10.1007/s00454-016-9794-2__Discrete &; Computational Geometry. Springer, 2016.https://doi.org/10.1007/s00454-016-9794-2 .

Dunaeva, Olga, Herbert Edelsbrunner, Anton Lukyanov, Michael Machin, Daria Malkova, Roman Kuvaev, and Sergey Kashin. “The Classification of Endoscopy Images with Persistent Homology.”https://doi.org/10.1016/j.patrec.2015.12.012__Pattern Recognition Letters. Elsevier, 2016.https://doi.org/10.1016/j.patrec.2015.12.012 .

Pausinger, Florian, and Stefan Steinerberger. “On the Discrepancy of Jittered Sampling.”https://doi.org/10.1016/j.jco.2015.11.003__Journal of Complexity. Academic Press, 2016.https://doi.org/10.1016/j.jco.2015.11.003 .

Biswas, Ranita, and Partha Bhowmick. “On Functionality of Quadraginta Octants of Naive Sphere with Application to Circle Drawing.”https://doi.org/10.1007/978-3-319-32360-2_20__In Discrete Geometry for Computer Imagery, 9647:256–67. Cham: Springer Nature, 2016.https://doi.org/10.1007/978-3-319-32360-2_20 .

Sen, Nabhasmita, Ranita Biswas, and Partha Bhowmick. “On Some Local Topological Properties of Naive Discrete Sphere.”https://doi.org/10.1007/978-3-319-39441-1_23__In Computational Topology in Image Context, 9667:253–64. Cham: Springer Nature, 2016.https://doi.org/10.1007/978-3-319-39441-1_23 .

Biswas, Ranita, Partha Bhowmick, and Valentin E. Brimkov. “On the Connectivity and Smoothness of Discrete Spherical Circles.”https://doi.org/10.1007/978-3-319-26145-4_7__In Combinatorial Image Analysis, 9448:86–100. Cham: Springer Nature, 2016.https://doi.org/10.1007/978-3-319-26145-4_7 .

Edelsbrunner, Herbert, and Florian Pausinger. “Approximation and Convergence of the Intrinsic Volume.”https://doi.org/10.1016/j.aim.2015.10.004__Advances in Mathematics. Academic Press, 2016.https://doi.org/10.1016/j.aim.2015.10.004 .

Kwitt, Roland, Stefan Huber, Marc Niethammer, Weili Lin, and Ulrich Bauer. “Statistical Topological Data Analysis-A Kernel Perspective,” 28:3070–78. Neural Information Processing Systems, 2015.

Reininghaus, Jan, Stefan Huber, Ulrich Bauer, and Roland Kwitt. “A Stable Multi-Scale Kernel for Topological Machine Learning,”https://doi.org/10.1109/CVPR.2015.7299106__4741–48. IEEE, 2015.https://doi.org/10.1109/CVPR.2015.7299106 .

Edelsbrunner, Herbert, Mabel Iglesias Ham, and Vitaliy Kurlin. “Relaxed Disk Packing.” In Proceedings of the 27th Canadian Conference on Computational Geometry, 2015–August:128–35. Queen’s University, 2015.

Franek, Peter, and Marek Krcál. “On Computability and Triviality of Well Groups,”https://doi.org/10.4230/LIPIcs.SOCG.2015.842__34:842–56. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015.https://doi.org/10.4230/LIPIcs.SOCG.2015.842 .

Zobel, Valentin, Jan Reininghaus, and Ingrid Hotz. “Visualizing Symmetric Indefinite 2D Tensor Fields Using The Heat Kernel Signature.”https://doi.org/10.1007/978-3-319-15090-1_13__In Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, edited by Ingrid Hotz and Thomas Schultz, 1st ed., 40:257–67. Springer, 2015.https://doi.org/10.1007/978-3-319-15090-1_13 .

Knipl, Diána, Pawel Pilarczyk, and Gergely Röst. “Rich Bifurcation Structure in a Two Patch Vaccination Model.”https://doi.org/10.1137/140993934__SIAM Journal on Applied Dynamical Systems. Society for Industrial and Applied Mathematics , 2015.https://doi.org/10.1137/140993934 .

Dunaeva, Olga, Herbert Edelsbrunner, Anton Lukyanov, Michael Machin, and Daria Malkova. “The Classification of Endoscopy Images with Persistent Homology.”https://doi.org/10.1109/SYNASC.2014.81__In Proceedings - 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 7034731. IEEE, 2015.https://doi.org/10.1109/SYNASC.2014.81 .

Edelsbrunner, Herbert. “Shape, Homology, Persistence, and Stability.” In 23rd International Symposium, Vol. 9411. Springer Nature, 2015.

Graff, Grzegorz, and Pawel Pilarczyk. “An Algorithmic Approach to Estimating the Minimal Number of Periodic Points for Smooth Self-Maps of Simply-Connected Manifolds.”https://doi.org/10.12775/TMNA.2015.014__Topological Methods in Nonlinear Analysis. Juliusz Schauder Center for Nonlinear Studies, 2015.https://doi.org/10.12775/TMNA.2015.014 .

Cao, Thanhtung, Herbert Edelsbrunner, and Tiowseng Tan. “Triangulations from Topologically Correct Digital Voronoi Diagrams.”https://doi.org/10.1016/j.comgeo.2015.04.001__Computational Geometry. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2015.04.001 .

Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “Reprint of: Weighted Straight Skeletons in the Plane.”https://doi.org/10.1016/j.comgeo.2015.01.004__Computational Geometry: Theory and Applications. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2015.01.004 .

Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “Weighted Straight Skeletons in the Plane.”https://doi.org/10.1016/j.comgeo.2014.08.006__Computational Geometry: Theory and Applications. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2014.08.006 .

Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “A Simple Algorithm for Computing Positively Weighted Straight Skeletons of Monotone Polygons.”https://doi.org/10.1016/j.ipl.2014.09.021__Information Processing Letters. Elsevier, 2015.https://doi.org/10.1016/j.ipl.2014.09.021 .

Aichholzer, Oswin, Therese Biedl, Thomas Hackl, Martin Held, Stefan Huber, Peter Palfrader, and Birgit Vogtenhuber. “Representing Directed Trees as Straight Skeletons.”https://doi.org/10.1007/978-3-319-27261-0_28__In Graph Drawing and Network Visualization, 9411:335–47. Springer Nature, 2015.https://doi.org/10.1007/978-3-319-27261-0_28 .

Franek, Peter, and Marek Krcál. “Robust Satisfiability of Systems of Equations.”https://doi.org/10.1145/2751524__Journal of the ACM. ACM, 2015.https://doi.org/10.1145/2751524 .

Akopyan, Arseniy, and Alexander Plakhov. “Minimal Resistance of Curves under the Single Impact Assumption.”https://doi.org/10.1137/140993843__Society for Industrial and Applied Mathematics. SIAM, 2015.https://doi.org/10.1137/140993843 .

Akopyan, Arseniy, Sergey Pirogov, and Aleksandr Rybko. “Invariant Measures of Genetic Recombination Process.”https://doi.org/10.1007/s10955-015-1238-5__Journal of Statistical Physics. Springer, 2015.https://doi.org/10.1007/s10955-015-1238-5 .

Pausinger, Florian, and Stefan Steinerberger. “On the Distribution of Local Extrema in Quantum Chaos.”https://doi.org/10.1016/j.physleta.2014.12.010__Physics Letters, Section A. Elsevier, 2015.https://doi.org/10.1016/j.physleta.2014.12.010 .

Edelsbrunner, Herbert, Grzegorz Jablonski, and Marian Mrozek. “The Persistent Homology of a Self-Map.”https://doi.org/10.1007/s10208-014-9223-y__Foundations of Computational Mathematics. Springer, 2015.https://doi.org/10.1007/s10208-014-9223-y .

Attali, Dominique, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. “Homological Reconstruction and Simplification in .”https://doi.org/10.1016/j.comgeo.2014.08.010__Computational Geometry: Theory and Applications. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2014.08.010 .

Symonova, Olga, Christopher Topp, and Herbert Edelsbrunner. “DynamicRoots: A Software Platform for the Reconstruction and Analysis of Growing Plant Roots.”https://doi.org/10.1371/journal.pone.0127657__PLoS One. Public Library of Science, 2015.https://doi.org/10.1371/journal.pone.0127657 .

Symonova, Olga, Christopher Topp, and Herbert Edelsbrunner. “Root Traits Computed by DynamicRoots for the Maize Root Shown in Fig 2.”https://doi.org/10.1371/journal.pone.0127657.s001__Public Library of Science, 2015.https://doi.org/10.1371/journal.pone.0127657.s001 .

Pausinger, Florian, and Anne Svane. “A Koksma-Hlawka Inequality for General Discrepancy Systems.”https://doi.org/10.1016/j.jco.2015.06.002__Journal of Complexity. Academic Press, 2015.https://doi.org/10.1016/j.jco.2015.06.002 .

Pausinger, Florian. “On the Approximation of Intrinsic Volumes.” Institute of Science and Technology Austria, 2015.

Kasten, Jens, Jan Reininghaus, Wieland Reich, and Gerik Scheuermann. “Toward the Extraction of Saddle Periodic Orbits.”https://doi.org/10.1007/978-3-319-04099-8_4__In Topological Methods in Data Analysis and Visualization III , edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 1:55–69. Mathematics and Visualization. Cham: Springer, 2014.https://doi.org/10.1007/978-3-319-04099-8_4 .

Huber, Stefan, Martin Held, Peter Meerwald, and Roland Kwitt. “Topology-Preserving Watermarking of Vector Graphics.”https://doi.org/10.1142/S0218195914500034__International Journal of Computational Geometry and Applications. World Scientific Publishing, 2014.https://doi.org/10.1142/S0218195914500034 .

Cibulka, Josef, Pu Gao, Marek Krcál, Tomás Valla, and Pavel Valtr. “On the Geometric Ramsey Number of Outerplanar Graphs.”https://doi.org/10.1007/s00454-014-9646-x__Discrete &; Computational Geometry. Springer, 2014.https://doi.org/10.1007/s00454-014-9646-x .

Dolbilin, Nikolai, Herbert Edelsbrunner, Alexey Glazyrin, and Oleg Musin. “Functionals on Triangulations of Delaunay Sets.”https://doi.org/10.17323/1609-4514-2014-14-3-491-504__Moscow Mathematical Journal. Independent University of Moscow, 2014.https://doi.org/10.17323/1609-4514-2014-14-3-491-504 .

Alexeev, V V, V G Bogaevskaya, M M Preobrazhenskaya, A Y Ukhalov, Herbert Edelsbrunner, and Olga Yakimova. “An Algorithm for Cartographic Generalization That Preserves Global Topology.”https://doi.org/10.1007/s10958-014-2165-8__Journal of Mathematical Sciences. Springer, 2014.https://doi.org/10.1007/s10958-014-2165-8 .

Günther, David, Alec Jacobson, Jan Reininghaus, Hans Seidel, Olga Sorkine Hornung, and Tino Weinkauf. “Fast and Memory-Efficient Topological Denoising of 2D and 3D Scalar Fields.”https://doi.org/10.1109/TVCG.2014.2346432__IEEE Transactions on Visualization and Computer Graphics. IEEE, 2014.https://doi.org/10.1109/TVCG.2014.2346432 .

Bauer, Ulrich, Michael Kerber, and Jan Reininghaus. “Distributed Computation of Persistent Homology.”https://doi.org/10.1137/1.9781611973198.4__In Proceedings of the Workshop on Algorithm Engineering and Experiments, edited by Catherinehttps://doi.org/10.1137/1.9781611973198.4__McGeoch and Ulrich Meyer, 31–38. Society of Industrial and Applied Mathematics, 2014.https://doi.org/10.1137/1.9781611973198.4 .

Bauer, Ulrich, Michael Kerber, and Jan Reininghaus. “Clear and Compress: Computing Persistent Homology in Chunks.”https://doi.org/10.1007/978-3-319-04099-8_7__In Topological Methods in Data Analysis and Visualization III, edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 103–17. Mathematics and Visualization. Springer, 2014.https://doi.org/10.1007/978-3-319-04099-8_7 .

Bauer, Ulrich, and Michael Lesnick. “Induced Matchings of Barcodes and the Algebraic Stability of Persistence.”https://doi.org/10.1145/2582112.2582168__In Proceedings of the Annual Symposium on Computational Geometry, 355–64. ACM, 2014.https://doi.org/10.1145/2582112.2582168 .

Bauer, Ulrich, Xiaoyin Ge, and Yusu Wang. “Measuring Distance between Reeb Graphs.”https://doi.org/10.1145/2582112.2582169__In Proceedings of the Annual Symposium on Computational Geometry, 464–73. ACM, 2014.https://doi.org/10.1145/2582112.2582169 .

Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of cech and Delaunay Filtrations.”https://doi.org/10.1145/2582112.2582167__In Proceedings of the Annual Symposium on Computational Geometry, 484–90. ACM, 2014.https://doi.org/10.1145/2582112.2582167 .

Edelsbrunner, Herbert, and Salman Parsa. “On the Computational Complexity of Betti Numbers Reductions from Matrix Rank.”https://doi.org/10.1137/1.9781611973402.11__In Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, 152–60. SIAM, 2014.https://doi.org/10.1137/1.9781611973402.11 .

cadek, Martin, Marek Krcál, Jií Matousek, Francis Sergeraert, Lukás Vokínek, and Uli Wagner. “Computing All Maps into a Sphere.”https://doi.org/10.1145/2597629__Journal of the ACM. ACM, 2014.https://doi.org/10.1145/2597629 .