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We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.. We

In this work we give definitions of the notions of superior limit and inferior limit of a real distribution of n variables at a point of its domain and study some properties of

Using the multi-scale convergence method, we derive a homogenization result whose limit problem is defined on a fixed domain and is of the same type as the problem with

In this paper, we generalize the concept of Ducci sequences to sequences of d-dimensional arrays, extend some of the basic results on Ducci sequences to this case, and point out

“Breuil-M´ezard conjecture and modularity lifting for potentially semistable deformations after

We use the monotonicity formula to show that blow up limits of the energy minimizing configurations must be cones, and thus that they are determined completely by their values on

discrete ill-posed problems, Krylov projection methods, Tikhonov regularization, Lanczos bidiago- nalization, nonsymmetric Lanczos process, Arnoldi algorithm, discrepancy

Recalling now that the equilibrium measure has full equilibrium dimension, we conclude that in many cases, like in “almost all” affine IFS’s, making a good choice for the