| Publication | Date of Publication | Type |
|---|
| The persistent topology of optimal transport based metric thickenings | 2024-04-05 | Paper |
| The Four Point Condition: An Elementary Tropicalization of Ptolemy’s Inequality | 2024-03-27 | Paper |
| Computing generalized rank invariant for 2-parameter persistence modules via zigzag persistence and its applications | 2024-01-09 | Paper |
| The ultrametric Gromov-Wasserstein distance | 2023-12-21 | Paper |
| Distance distributions and inverse problems for metric measure spaces | 2023-12-15 | Paper |
| The Gromov-Hausdorff distance between spheres | 2023-12-13 | Paper |
| Orthogonal M\"obius Inversion and Grassmannian Persistence Diagrams | 2023-11-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6059962 | 2023-11-02 | Paper |
| Elder-Rule-Staircodes for Augmented Metric Spaces. | 2023-11-02 | Paper |
| Persistence Over Posets | 2023-10-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6057539 | 2023-10-05 | Paper |
| Reduced Vietoris-Rips Complexes: New methods to compute Vietoris-Rips Persistent Homology | 2023-07-30 | Paper |
| Distances and isomorphism between networks: stability and convergence of network invariants | 2023-07-24 | Paper |
| The Gromov-Wasserstein distance between spheres | 2023-06-18 | Paper |
| Characterization of Gromov-type geodesics | 2023-05-19 | Paper |
| Meta-Diagrams for 2-Parameter Persistence | 2023-03-14 | Paper |
| A generalization of the persistent Laplacian to simplicial maps | 2023-02-07 | Paper |
| Extremal spherical polytopes and Borsuk's conjecture | 2023-01-30 | Paper |
| Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes | 2022-12-31 | Paper |
| Comparison Results for Gromov-Wasserstein and Gromov-Monge Distances | 2022-12-28 | Paper |
| Persistent Cup Product Structures and Related Invariants | 2022-11-29 | Paper |
| On \(p\)-metric spaces and the \(p\)-Gromov-Hausdorff distance | 2022-09-23 | Paper |
| Homology groups of the curvature sets of $\mathbb{S}^1$ | 2022-09-10 | Paper |
| Persistent Laplacians: Properties, Algorithms and Implications | 2022-07-15 | Paper |
| Weisfeiler-Lehman meets Gromov-Wasserstein | 2022-02-05 | Paper |
| Classical Multidimensional Scaling on Metric Measure Spaces | 2022-01-23 | Paper |
| Generalized persistence diagrams for persistence modules over posets | 2022-01-10 | Paper |
| Some results about the Tight Span of spheres | 2021-12-23 | Paper |
| The Reeb graph edit distance is universal | 2021-11-26 | Paper |
| Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach | 2021-11-19 | Paper |
| Spatiotemporal persistent homology for dynamic metric spaces | 2021-09-29 | Paper |
| Elder-Rule-Staircodes for Augmented Metric Spaces | 2021-09-10 | Paper |
| The Gromov–Wasserstein distance between networks and stable network invariants | 2021-08-16 | Paper |
| Persistent Cup-Length | 2021-07-04 | Paper |
| Curvature Sets Over Persistence Diagrams | 2021-03-07 | Paper |
| Quantitative simplification of filtered simplicial complexes | 2021-02-10 | Paper |
| Analysis of Dynamic Graphs and Dynamic Metric Spaces via Zigzag Persistence | 2020-09-08 | Paper |
| New families of stable simplicial filtration functors | 2020-06-02 | Paper |
| On the notion of weak isometry for finite metric spaces | 2020-05-06 | Paper |
| A topological study of functional data and Fréchet functions of metric measure spaces | 2020-03-06 | Paper |
| Persistent Homotopy Groups of Metric Spaces | 2019-12-27 | Paper |
| Reeb posets and tree approximations | 2019-12-17 | Paper |
| Interleaving by Parts: Join Decompositions of Interleavings and Join-Assemblage of Geodesics | 2019-12-09 | Paper |
| The shape of data and probability measures | 2019-12-05 | Paper |
| Metric Representations of Networks: A Uniqueness Result | 2019-10-31 | Paper |
| Sampling random graph homomorphisms and applications to network data analysis | 2019-10-21 | Paper |
| The persistent homotopy type distance | 2019-10-07 | Paper |
| The reflection distance between zigzag persistence modules | 2019-09-11 | Paper |
| A functorial Dowker theorem and persistent homology of asymmetric networks | 2019-08-06 | Paper |
| A primer on persistent homology of finite metric spaces | 2019-07-11 | Paper |
| Hierarchical clustering of asymmetric networks | 2019-06-03 | Paper |
| Explicit geodesics in Gromov-Hausdorff space | 2018-11-02 | Paper |
| Quasimetric embeddings and their applications | 2018-10-18 | Paper |
| The Gromov-Hausdorff distance: a brief tutorial on some of its quantitative aspects | 2018-09-18 | Paper |
| Metric Graph Approximations of Geodesic Spaces | 2018-09-14 | Paper |
| Topological Analysis of Nerves, Reeb Spaces, Mappers, and Multiscale Mappers | 2018-08-13 | Paper |
| Multiscale Mapper: Topological Summarization via Codomain Covers | 2018-07-16 | Paper |
| The Metric Space of Networks | 2018-04-09 | Paper |
| Distances Between Datasets | 2018-03-27 | Paper |
| Persistent Path Homology of Directed Networks | 2018-03-15 | Paper |
| The Distortion of the Reeb Quotient Map on Riemannian Manifolds | 2018-01-04 | Paper |
| Quasimetric Embeddings and Their Applications | 2017-12-19 | Paper |
| Extracting Persistent Clusters in Dynamic Data via M\"obius inversion | 2017-12-11 | Paper |
| New families of simplicial filtration functors | 2017-12-02 | Paper |
| A Distance Between Filtered Spaces Via Tripods | 2017-04-12 | Paper |
| The Gromov-Wasserstein distance: a brief overview | 2015-05-19 | Paper |
| Multiscale Covariance Fields, Local Scales, and Shape Transforms | 2014-04-16 | Paper |
| Classifying clustering schemes | 2013-06-14 | Paper |
| Some properties of Gromov-Hausdorff distances | 2012-09-19 | Paper |
| Local scales on curves and surfaces | 2012-09-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2896083 | 2012-07-13 | Paper |
| Gromov-Wasserstein distances and the metric approach to object matching | 2011-11-23 | Paper |
| A spectral notion of Gromov-Wasserstein distance and related methods | 2011-05-03 | Paper |
| Computing with Point Cloud Data | 2009-05-20 | Paper |
| A theoretical and computational framework for isometry invariant recognition of point cloud data | 2006-09-28 | Paper |
| Distance Functions and Geodesics on Submanifolds of $\R^d$ and Point Clouds | 2005-09-16 | Paper |
| Solving variational problems and partial differential equations mapping into general target manifolds. | 2004-03-29 | Paper |
| Fast computation of weighted distance functions and geodesics on implicit hyper-surfaces | 2002-02-19 | Paper |
