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math.PR2013
The super-critical contact process has a spectral gap
Florian Völlering
We consider the super-critical contact process on . It is known that measures which dominate the upper invariant measure converge exponentially fast to . Howev…
math.PR2013
Talagrand's inequality for Interacting Particle Systems satisfying a log-Sobolev inequality
Florian Völlering
Talagrand's inequality for independent Bernoulli random variables is extended to many interacting particle systems (IPS). The main assumption is that the IPS satisfies a log-Sobole…