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On Finiteness of B-representatoin and Semi-log Canonical Abundance
Finiteness of B-representatoin Semi-log Canonical Abundance Algebraic Geometry
2011/9/16
Abstract: We give a new proof of the finiteness of B-representations. As a consequence of the finiteness of B-representations and Koll\'ar's gluing theory on lc centers, we prove that the (relative) a...
On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics
u-Gibbs states physical measures partially hyperbolic dynamics minimal foliations
2011/1/20
We show that each strongly partially hyperbolic C2 diffeomorphism, with one-dimensional subbundles and C2 smooth andminimal strong-unstable foliation, is C2 close to a diffeomorphism having non-zero c...
Species abundance distributions in neutral models with immigration or mutation and general lifetimes
Species abundance distribution Crump–Mode–Jagers process splitting tree branching process
2010/12/15
We consider a general, neutral, dynamical model of biodiversity. Individuals have i.i.d.
lifetime durations, which are not necessarily exponentially distributed, and each individual
gives birth inde...