We consider the application of the Multiple Point Criticality Principle to the Standard Model and its extension to the anti-grand gauge group SM G 3 ⊗ U (1) f at the Planck scale. In particular we discuss the predictions for the fine structure constants: α −1 (0) = 137 ± 9, α −1 1 (M Z) = 99 ± 5, α −1 2 (M Z) = 29 ± 6, α −1 3 (M Z) = 12 ± 6. We also present our Standard Model predictions for th...

We continue a study of Schonmann (1994), Schonmann and Shlosman(1996) and Greenwood and Sun (1997) regarding the competing influences of boundary conditions and external field for the Ising model. We find a critical point B0 in the competing influences for low temperature in dimension d ≥ 2.

This paper describes how the fast and detailed modelling and simulation methods can be used to increase the efficiency of simulation of interconnected ICT (Information and Communication Technology) and BP (Business Process) systems. The method of cooperating models using detailed, fast and contracted fast models to model the functioning of ICT and BP is presented. A new approach, the diversifie...

This paper describes a technique which allows impaired functions to be automatically determined from the faulty components and vice versa. Moreover a knowledge base containing the criticality of the fault in addition to different abstraction levels. The construction of the hierarchical structure can largely follow automatically because higher variation independent functions can be drawn from a ...

In this paper, results of investigations of the simplest mechanisms of a structure formation are presented. In frameworks of the suggested model the main attention was focused on such characteristics as wiring of the system, clusters formation, dynamics of the wiring. The idea to take into account an influence of the environment factor is employed in the proposed model. Investigations of system...

We study the off-equilibrium two-point critical response and correlation functions for the relaxational dynamics with a coupling to a conserved density (Model C) of the O(N) vector model. They are determined in an ǫ = 4 − d expansion for vanishing momentum. We briefly discuss their scaling behaviors and the associated scaling forms are determined up to first order in ǫ. The corresponding fluctu...

Juyong Song,1, 2, 3 Matteo Marsili,3, ∗ and Junghyo Jo1, 2, 4, † Asia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 37673, Korea Department of Physics, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Korea The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy School of Computational Sciences, Korea Institute for ...

We study the renormalization group flow properties of the WessZumino-Witten model in the region of couplings between g2 = 0 and g2 = 4π/k, by evaluating the two-loop Zamolodchikov’s c-function. We also discuss the region of negative couplings.

We address the problem of coordinating the activities of a team of agents in a dynamic, uncertain, nonlinear environment. Bounded rationality, bounded communication, subjectivity and distribution make it extremely challenging to find effective strategies. In these domains it is difficult to accurately predict whether potential policy modifications will lead to an increase in the value of the te...

In this paper we study several aspects of the growth of a supercritical Galton–Watson process {Zn :n ≥ 1}, and bring out some criticality phenomena determined by the Schröder constant. We develop the local limit theory of Zn, that is, the behavior of P (Zn = vn) as vn ր ∞, and use this to study conditional large deviations of {YZn :n ≥ 1}, where Yn satisfies an LDP, particularly of {Z −1 n Zn+1...