The DOI matches its Crossref record; 36 of the 37 references it cites were found in a registry or an index.
Convergence in distribution of random metric measure spaces (Λ-coalescent measure trees)
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“Greven, Pfaffelhuber and Winter (2009) defined an analogue to the Gromov-Hausdorff metric on the collection of compact metric measure spaces.”
From Topological pattern recognition for point cloud data (2014) · cites this paper as Greven, Pfaffelhuber and Winter (2009)
Citations
Cites
Metric Spaces of Non-Positive Curvature
Bridson, M. R., & Haefliger, A. (1999) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-3-662-12494-9 · Cited by 4,569
Markov Processes: Characterization and Convergence.
Abakuks, A., Ethier, S. N., & Kurtz, T. G. (1987) · Biometrics · doi:10.2307/2531839 · Cited by 4,471
Ethier, S. N., & Kurtz, T. G. (1986) · Wiley series in probability and statistics · doi:10.1002/9780470316658 · Cited by 3,662
Spin Glass Theory and Beyond: An Introduction to the Replica Method and Its Applications
Mezard, M., Parisi, G., & Virasoro, M. (1986) · World Scientific Lecture Notes in Physics · doi:10.1142/0271 · Cited by 3,653
Wooding, S. (2004) · The American Journal of Human Genetics · doi:10.1086/383584 · Cited by 3,093
Foundations of Modern Probability
Kallenberg, O. (2021) · Probability theory and stochastic modelling · doi:10.1007/978-3-030-61871-1 · Cited by 2,918
Burago, D., Burago, Y., & Ivanov, S. (2001) · Graduate Studies in Mathematics · doi:10.1090/gsm/033 · Cited by 2,598
Foundations of Modern Probability
Kallenberg, O. (2002) · Probability and its applications · doi:10.1007/978-1-4757-4015-8 · Cited by 2,472
Gene genealogies and the coalescent process.
Hudson, R. R. (1990) · Medical Entomology and Zoology · Cited by 1,838
Metric Structures for Riemannian and Non-Riemannian Spaces
Gromov, M., Lafontaine, J., & Pansu, P. (2007) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-4583-0 · Cited by 1,798
Research works printed but not linked: 1
- Evans, S.N.: Kingman’s coalescent as a random metric space. In: Gorostiza, L.G., Ivanoff, B.G. (eds.) Stochastic Models: Proceedings of the International Conference on Stochastic Models in Honour of Professor Donald A. Dawson, Ottawa, Canada, June 10–13, 1998. Canadian Mathematical Society, Ottawa (2000)
Cited by
Sorted by citations
Gromov–Wasserstein Distances and the Metric Approach to Object Matching
Mémoli, F. (2011) · Foundations of Computational Mathematics · doi:10.1007/s10208-011-9093-5 · Cited by 519
Topological pattern recognition for point cloud data
Carlsson, G. (2014) · Acta Numerica · doi:10.1017/s0962492914000051 · Cited by 230
Gigli, N., Mondino, A., & Savaré, G. (2013) · HAL · Cited by 157
A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces
Abraham, R., Delmas, J., & Hoscheit, P. (2013) · Electronic Journal of Probability · doi:10.1214/ejp.v18-2116 · Cited by 121
Liouville quantum gravity and the Brownian map III: the conformal structure is determined
Miller, J., & Sheffield⋆, S. (2021) · Probability Theory and Related Fields · doi:10.1007/s00440-021-01026-8 · Cited by 116
Metadata
- Authors
- Greven, A., Pfaffelhuber, P., & Winter, A.
- Affiliations
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- University of Freiburg (DE)
- Corresponding author
- Winter, Anita
- ORCID
- Pfaffelhuber, Peter
- Venue
- Probability Theory and Related Fields
- Published
- 2008-08-14
- Volume
- 145
- Issue
- 1-2
- Pages
- 285-322
- ISSN
- 0178-8051 (ISSN-L)
- 1432-2064
- OpenAlex
- W2063388380
- Cited by
- 157
- References
- 37
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 12 · 2023: 10 · 2022: 10 · 2021: 15 · 2020: 7 · 2019: 13 · 2018: 10 · 2017: 6 · 2016: 7 · 2015: 14 · 2014: 9 · 2013: 11 · 2012: 6
- FWCI
- 7.43
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Probability Theory and Related Fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Physical Sciences › Mathematics › Mathematical Physics › p-Adic Analysis and Mathematical Physics
- Keywords
- weak convergence, tightness, Gromov-Hausdorff convergence, ultrametric spaces
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