We advance a Bayesian concept of intrinsic asymptotic universality, taking to its final conclusions previous conceptual and numerical work based upon a concept of a reprogrammability test and an investigation of the complex qualitative behaviour of computer programs. Our method may quantify the trust and confidence of the computing capabilities of natural and classical systems, and quantify com...

Recent Monte Carlo simulation results for the contact values of polydisperse hard-sphere mixtures at a hard planar wall are considered in the light of a universality assumption made in approximate theoretical approaches. It is found that the data seem to fulfill the universality ansatz reasonably well, thus opening up the possibility of inferring properties of complicated systems from the study...

Histogram analysis of Monte-Carlo simulation results of the Ising antiferro-magnet on a stacked triangular lattice are reported. Finite-size scaling estimates for critical exponents suggest XY universality. This result supports earlier predictions based on symmetry arguments and is in contrast with a recent suggestion of a new universality class by Bunker et al.

This paper presents a 3-state asynchronous CA that requires merely two transition rules to achieve computational universality. This universality is achieved by embedding Priese’s delay-insensitive circuit elements, called the E-element and the K-element, on the cell space of a so-called Brownian CA, which is an asynchronous CA containing local configurations that conduct a random walk in the ci...

We give corrected statements of some theorems from [5] and [6] on joint value distribution of Lerch zeta-functions (limit theorems, universality, functional independence). We also present a new direct proof of a joint limit theorem in the space of analytic functions and an extension of a joint universality theorem.

The scaling form of the free–energy near a critical point allows for the definition of various universal ratios of thermodynamical amplitudes. Together with the critical exponents they characterize the universality classes and may be useful experimental quantities. We show how these universal quantities can be computed for a particular class of universality by using several Quantum Field Theory...

The shape-dependent universality of the excess percolation cluster number and cross-configuration probability on a torus is discussed. Besides the aspect ratio of the torus, the universality class depends upon the twist in the periodic boundary conditions, which for example are generally introduced when triangular lattices are used in simulations.

The one-dimensional reaction diffusion process AA → A and A∅A → AAA is exactly solvable through the empty interval method if the diffusion rate equals the coagulation rate. Independently of the particle production rate, the model is always in the universality class of diffusion-annihilation. This allows us to check analytically the universality of finite-size scaling in a non-equilibrium critic...

Spatial Coupling A General Phenomenon • General one-dimensional systems • General BMS channels Threshold Saturation and Universality • Multi-user communications and ISI channels Multi-access channels Noisy Slepian-Wolf Finite state channels Many more... • Problems beyond Communications Compressive sensing K-SAT Practical Aspects and Open Questions • Universality • Windowed decoding • Rate loss ...

A multifractal analysis is performed on the universality classes of random matrices and the transition ones. Our results indicate that the eigenvector probabi;ity distribution is a linear sum of two χ 2-distribution throughout the transition between the universality ensembles of random matrix theory and Poisson.