Recently, harmonic functions and frequently universal on a tree T have been studied, taking values separable Fréchet space E over the field C or R. In present paper, we allow to take in vector rather general F. The metric of topological is translation invariant instead can also study more defined by linear combinations with coefficients We don't assume that complete therefore an argument avoidi...

A new universality of Lyapunov spectra {λi} is shown for Hamiltonian systems. The universality appears in middle energy regime and is different from another universality which can be reproduced by random matrices in the following two points. One is that the new universality appears in a limited range of large i/N rather than the whole range, where N is degrees of freedom. The other is Lyapunov ...

Universality Theorems are exciting achievements in the theories of polytopes and oriented matroids. This article surveys the main developments in that context. We explain the basic constructions that lead to Universality Theorems. In particular, we show that one can use the Universality Theorem for rank 3 oriented matroids to obtain a Universality Theorem for 6-dimensional polytopes. 1 Universa...

This paper is concerned with the universality problem for timed automata: given a timed automatonA, doesA accept all timed words? Alur and Dill have shown that the universality problem is undecidable if A has two clocks, but they left open the status of the problem when A has a single clock. In this paper we close this gap for timed automata over infinite words by showing that the one-clock uni...

One of the hallmarks of human cognition is the capacity to generalize over arbitrary constituents. Recently, Marcus (1998b, 1998a) argued that this capacity, called “universal generalization” (universality), is not supported by Connectionist models. Instead, universality is best explained by Classical symbol systems, with Connectionism as its implementation. Here it is argued that universality ...