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Disagreement percolation for marked Gibbs point processes

Where:  TU Delft, Faculty EWI, Mekelweg 4, Room D@ta.
When:  27th of June 2017
Starttime  12:45

On Tuesday (27/06/2017), we have another interesting talk in our Probability and Statistics seminar series at TU Delft.
All of you are very welcome.

Christoph Hofer-Temmel (NLDA)

When: Tuesday June 27th, 12:45
Where: TU Delft, Faculty EWI, Mekelweg 4, Room D@ta.

Disagreement percolation for marked Gibbs point processes

Disagreement percolation is a technique to control the differing boundary conditions in a Gibbs specification by a simpler percolation model. In the high temperature regime, the percolation model does not percolate and implies the uniqueness of the Gibbs measure. If the percolation has exponentially decaying connection probabilities, then exponential decay of correlations for the Gibbs measure follows, too. We extend this technique from the discrete case and bounded range interaction simple Gibbs point processes to finite range interaction marked Gibbs point process and general Boolean models. A core building block is a dependent thinning from a Poisson point process to a dominated Gibbs point process within a finite volume, where the thinning probability is related to the derivative of the free energy of the Gibbs point process.

(Joint work with Pierre Houdebert (Lille)) 

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