A spatial model for the abundance of species
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Publication:1307502
DOI10.1214/aop/1022855647zbMath0935.60100OpenAlexW2067548253MaRDI QIDQ1307502
J. Theodore Cox, Maury Bramson, Richard T. Durrett
Publication date: 1 February 2000
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1022855647
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25)
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Cites Work
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- Spatial models for species area curves
- Limiting point processes for rescalings of coalescing and annihilating random walks on \(Z^ n\).
- On the functional central limit theorem for the Ewens sampling formula
- Poisson process approximations for the Ewens sampling formula
- Ergodic theorems for weakly interacting infinite systems and the voter model
- Additive and cancellative interacting particle systems
- A spatial model for the abundance of species
- Population dynamic models generating the lognormal species abundance distribution
- On the Shannon-Weaver index of diversity, in relation to the distribution of species in bird censuses
- Asymptotics for interacting particle systems onZ d
- A functional central limit theorem for the Ewens sampling formula
- A limit theorem for patch sizes in a selectively-neutral migration model
- A model for spatial conflict
- Continuous Mappings and Quotient Spaces, I
