Random Geometric Complexes

Topology and data

Gunnar Carlsson · Bulletin of the American Mathematical Society · 2009 · 2.3K citations · Full text

Computing, Computer Science, Data Science +15

Computing Persistent Homology

Afra Zomorodian, Gunnar Carlsson · Discrete & Computational Geometry · 2004 · 1.6K citations · Full text

Natural Sciences, Computer Science, Mathematics +17

Stability of Persistence Diagrams

David Cohen‐Steiner, Herbert Edelsbrunner, John Harer · Discrete & Computational Geometry · 2006 · 1.3K citations · Full text

Natural Sciences, Mathematics, Dynamical Systems +3

Finding the Homology of Submanifolds with High Confidence from Random Samples

Partha Niyogi, Stephen T. Smale, Shmuel Weinberger · Discrete & Computational Geometry · 2008 · 539 citations · Full text

Life Sciences, Bioinformatics, Molecular Biology +14

Random walk in random groups

M. Gromov · Geometric and Functional Analysis · 2003 · 498 citations

Engineering, Mathematics, Group Processes +8