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We present recently developed geometric methods for the analysis of finite dimensional term structure models of the interest rates. This includes an extension of the Frobenius theorem for Fr´echet spaces in particular. This approach puts new light on many ...
We consider the following integer feasibility problem: Given positive integer numbers a0, a1,&mellip;,an with gcd(a1,&mellip;,an) = 1 and a = (a1,&mellip;,an), does there exist a ...
We provide a Frobenius type existence result for finite-dimensional invariant submanifolds for stochastic equations in infinite dimension, in the spirit of Da Prato and Zabczyk [5]. We recapture and make use of the convenient calculus on Frechet spaces, as ...
Let p be an odd prime and zetap be a primitive pth root of unity over smallBbbQ. The Galois group G of K:=smallBbbQ(zetap) over smallBbbQ is a cyclic group of order p−1. The integral group ring smallBbbZ[G] contains the Stickelberger idea ...
