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Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
forest-fires self-organized criticality forest-fire model unique adapted
2009/4/23
In a forest-fire model, each site of the square lattice is either vacant or occupied by a tree. Vacant sites get occupied according to independent rate 1 Poisson processes. Independently at each site ...
The volume fraction of a non--overlapping germ--grain model
volume fraction germ-grain model dead leaves model
2009/4/22
We discuss the volume fraction of a model of non--overlapping convex grains. It is obtained from thinning a Poisson process where each point has a weight and is the centre of a grain, by removing any ...
Uniqueness of multi-dimensional infinite volume self-organized critical forest-fire models
multi-dimensional infinite forest-fire models
2009/4/3
In a forest-fire model, each site of the square lattice is either vacant or occupied by a tree. Vacant sites get occupied according to independent rate 1 Poisson processes. Independently at each site ...
The volume fraction of a non——overlapping germ——grain model
volume fraction overlapping germ grain model
2009/4/1
We discuss the volume fraction of a model of non--overlapping convex grains. It is obtained from thinning a Poisson process where each point has a weight and is the centre of a grain, by removing any ...
A volume inequality for quantum Fisher information and the uncertainty principle
Generalized variance uncertainty principle operator monotone functions matrix means quantum Fisher information
2010/4/29
Let A1, ...,AN be complex self-adjoint matrices and let be a density matrix. The Robertson
uncertainty principle det {Cov(Ah,Aj)} ≥ det−i2Tr([Ah,Aj ])ff gives a bound for the quantu...