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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
The notion of weak uniqueness requiring that the joint distribution of the solution and the stochastic inputs be uniquely determined used by Engelbert and also by Jacod (12) is
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
In section 4 we use this coupling to show the uniqueness of the stationary interface, and then finish the proof of theorem 12. Stochastic compactness for the width of
In this paper we establish a stochastic formula to calculate the symbol of a class of Markov processes which we then apply to the solutions of certain stochastic differential
An important new aspect of the results in [ 12 ] is that they enable one to obtain uniqueness of stationary distributions for stochastic delay differential equations when the
Bensoussan, Some existence results for stochastic partial differential equa- tions , in Stochastic Partial Differential Equations and Applications, G. Tubaro, eds.,
For example, in [ 3 ] the uniqueness of the stochastic linear transport equation with Hölder continuous drift was proved, through new results about stochastic flows of class C 1,
