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The dynamics is locally trivial or topological in the pure gravity case, but we can construct a dynamical field theory with a z = 2 dispersion relation by introducing a dilaton
First we note that the construction of the A -process for all time is trivial, since the A -particles by themselves merely perform independent continuous time simple random walks..
In the unbounded variation case with zero Gaussian coefficient previously excluded, excursions start negative continuously, but the excursion measures away from the right inverse
This paper discusses the situation that the rate functional has two distinct minimizers, for a simple model described by the pinned Wiener measures with certain densities involving
In the proof of this result we use an idea from [7], which consists of “shaking” the coefficients and in order to be sure that after “shaking” we get the value functions which
We conjecture that the Parisi functional in the Sherrington-Kirkpatrick model is convex in the functional order parameter.. We prove a partial result that shows the convexity
In this section, we use Corollary 2 to determine whether the Λ-coalescent comes down from infinity for particular families of measures Λ. We begin with the
We construct flip morphisms and the corresponding mapping class group transformations and find that in the bordered surfaces case we can enlarge this group allowing transformations
