Robert J. Adler

Computational Theory and Mathematics · 2000–2014

A researcher in the Science corpus: 9 papers; trusts 35 researchers and is trusted by 73 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 36 citations into it; #5,964 of 12,182 by trust here, #6,463 by citations
• Mathematical Physics — 33 citations into it; #5,586 of 8,562 by trust here, #4,500 by citations
• Geometry and Topology — 21 citations into it; #1,960 of 7,422 by trust here, #2,963 by citations
• Applied Mathematics — 13 citations into it; #1,911 of 7,620 by trust here, #1,901 by citations
• Statistics and Probability — 13 citations into it; #1,234 of 12,932 by trust here, #1,523 by citations
• Computer Vision and Pattern Recognition — 10 citations into it
• Artificial Intelligence — 7 citations into it; #2,830 of 35,345 by trust here, #7,797 by citations
• Biophysics — 7 citations into it

Whom Robert J. Adler trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Michel Talagrand
2. Jonathan E. Taylor
3. George Christakos
4. Akimichi Takemura
5. Michel Ledoux
6. Shigeyuki Morita
7. Gunnar E. Carlsson
8. Robert Ghrist
9. Matthew Kahle
10. John M. Lee

Who trusts Robert J. Adler overall

1. Jonathan E. Taylor
2. Henry Lam
3. Francesco Fedele
4. Sungho Tak
5. Joshua P. French
6. Eliran Subag
7. Jean-Marc Azais Mario Wschebor
8. Peter Bubenik
9. Akimichi Takemura
10. Domenico Marinucci

Papers from Robert J. Adler's perspective

Ordered by how strongly the researchers Robert J. Adler trusts endorse each paper. Same corpus, a different order for every researcher.

1. Computing Persistent Homology (SCG '04)
2. Topology and data
3. A statistical approach to persistent homology
4. Barcodes: The persistent topology of data
5. Finding the Homology of Submanifolds with High Confidence from Random Samples (Discrete & Computational Geometry)
6. The topology of probability distributions on manifolds
7. Statistical topology via Morse theory, persistence and nonparametric estimation
8. Probability measures on the space of persistence diagrams
9. javaPlex: A Research Software Package for Persistent (Co)Homology (International Congress on Mathematical Software)
10. The Sizes of Compact Subsets of Hilbert Space and Continuity of Gaussian Processes

Their papers

• Random Fields and Geometry (2007) — 1,677 citations
• Validity of the expected Euler characteristic heuristic (2005) — 110 citations
• On the topology of random complexes built over stationary point processes. (2012) — 70 citations
• Random geometric complexes in the thermodynamic regime (2014) — 96 citations
• Topological complexity of smooth random functions (2011) — 58 citations
• Persistent homology for random fields and complexes (2010) — 126 citations
• Some new random field tools for spatial analysis (2008) — 55 citations
• Euler characteristics for Gaussian fields on manifolds (2003) — 131 citations
• On excursion sets, tube formulas and maxima of random fields (2000) — 233 citations