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In order to prove the existence theorem of local class field theory, it remains to prove the existence of cyclic, totally ramified class fields of degree p m (m ∈ N ).. We give
A classical result in the theory of continuous-time stationary Gaussian processes gives sufficient conditions for the equivalence of the laws of two centered processes with
Abstract : The Green function of a transient symmetric Markov process can be interpreted as the covariance of a centered Gaussian process.. This relation leads to several
In the context of ran- dom permutations, this was enough to prove the existence of a coupling of partitions with the desired fragmentation property, using the fact that the
Some types of self-similar, long-range dependence, centered Gaussian processes have been obtained from occupation time fluctuation limits of certain particle systems (they represent
The purpose of this note is to prove the existence of a non-trivial critical point for the existence of a type of open Lipschitz surface within site percolation on Z d with d ≥ 2..
Instead of continuity we will give another property which ensures the invariance of the absorbing set and the existence of a weak attractor in phase space (for a deterministic
This Gaussian concentration is derived from a Gaussian upper bound of the density of the scheme and a modification of the so-called “Herbst argument” used to prove Logarithmic