292,596 research outputs found
Intrinsically Universal Cellular Automata
This talk advocates intrinsic universality as a notion to identify simple
cellular automata with complex computational behavior. After an historical
introduction and proper definitions of intrinsic universality, which is
discussed with respect to Turing and circuit universality, we discuss
construction methods for small intrinsically universal cellular automata before
discussing techniques for proving non universality
Monte Carlo computation of correlation times of independent relaxation modes at criticality
We investigate aspects of universality of Glauber critical dynamics in two
dimensions. We compute the critical exponent and numerically corroborate
its universality for three different models in the static Ising universality
class and for five independent relaxation modes. We also present evidence for
universality of amplitude ratios, which shows that, as far as dynamic behavior
is concerned, each model in a given universality class is characterized by a
single non-universal metric factor which determines the overall time scale.
This paper also discusses in detail the variational and projection methods that
are used to compute relaxation times with high accuracy
Simultaneous universality
In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector. This notion is related to the well known concepts of universality and disjoint universality. Several criteria are provided, and several applications to specific operators or sequences of operators are performed, mainly in the setting of sequence spaces or spaces of holomorphic functions.Plan Andaluz de InvestigaciĂłn (Junta de AndalucĂa)Ministerio de EconomĂa y CompetitividadDeutsche Forschungsgemeinschaf
String Universality
If there is a single underlying "theory of everything" which in some limits
of its "moduli space" reduces to the five weakly coupled string theories in
10D, and 11D SUGRA, then it is possible that all six of them have some common
domain of validity and that they are in the same universality class, in the
sense that the 4D low energy physics of the different theories is the same. We
call this notion String Universality. This suggests that the true vacuum of
string theory is in a region of moduli space equally far (in some sense) from
all perturbative theories, most likely around the self-dual point with respect
to duality symmetries connecting them. We estimate stringy non-perturbative
effects from wrapped brane instantons in each perturbative theory, show how
they are related by dualities, and argue that they are likely to lead to moduli
stabilization only around the self-dual point. We argue that moduli
stabilization should occur near the string scale, and SUSY breaking should
occur at a much lower intermediate scale, and that it originates from different
sources. We discuss the problems of moduli stabilization and SUSY breaking in
currently popular scenarios, explain why these problems are generic, and
discuss how our scenario can evade them. We show that String Universality is
not inconsistent with phenomenology but that it is in conflict with some
popular versions of brane world scenarios.Comment: 48 pages, 1 figure; one reference adde
The Non-Modularity of Moral Knowledge: Implications for the Universality of Human Rights
Many contemporary human rights theorists argue that we can establish the normative universality of human rights despite extensive cultural and moral diversity by appealing to the notion of overlapping consensus. In this paper I argue that proposals to ground the universality of human rights in overlapping consensus on the list of rights are unsuccessful. I consider an example from Islamic comprehensive doctrine in order to demonstrate that apparent consensus on the list of rights may not in fact constitute meaningful agreement and may not be sufficient to ground the universality of human rights. I conclude with some general suggestions for establishing the universality of human rights. Instead of presuming the universality of human rights based on apparent overlapping consensus we need to construct universality through actual dialogue both within and between communities
Driven interfaces in disordered media: determination of universality classes from experimental data
While there have been important theoretical advances in understanding the
universality classes of interfaces moving in porous media, the developed tools
cannot be directly applied to experiments. Here we introduce a method that can
identify the universality class from snapshots of the interface profile. We
test the method on discrete models whose universality class is well known, and
use it to identify the universality class of interfaces obtained in experiments
on fluid flow in porous media.Comment: 4 pages, 5 figure
On the Renormalization Group Explanation of Universality
It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches ought to be distinguished: while the field-theoretic approach explains universality, the real-space approach fails to provide an adequate explanation
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