The Universality of Physics, Ramzi R. Khuri; James T. Liu; Feng Chen; Wenbiao G

Автор: Andrew Adamatzky
Название: Automata, Universality, Computation
ISBN: 3319363670 ISBN-13(EAN): 9783319363677
Издательство: Springer
Рейтинг:
Цена: 18284.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

The common structure of the curves having a same Gauss word.- Logical theory of the additive monoid of subsets of natural integers.- Some reflections on mathematics and its relation to computer Science.- Sampling a Two-way Finite Automaton.- Constructing reversible Turing machines by reversible logic element with memory.- The Grossone methodology perspective on Turing machines.- On Parallel Array P Systems.- Computational models based on splicing.- Linear Cellular Automata and Decidability.- Algorithms with Active Cells Modeled by Cellular Automata with Write-Access (CA-w).- Broadcasting automata and patterns on Z2.- Real-Time Prime Generators Implemented on Small-State Cellular Automata.- Phyllosilicate Automata.

Автор: Andrew Adamatzky
Название: Automata, Universality, Computation
ISBN: 3319090380 ISBN-13(EAN): 9783319090382
Издательство: Springer
Рейтинг:
Цена: 22203.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Automata, Universality, Computation

Автор: Remi Jullien; Luca Peliti; Rammal Rammal; Nino Boc
Название: Universalities in Condensed Matter
ISBN: 3642510078 ISBN-13(EAN): 9783642510076
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Universality is one of the fascinating features of condensed matter physies: it is the property whereby systems of radieally different composition and structure ex- hibit similar behavior. In the mid-1960s the word entered usage to express the fact that the equations of state of several substances could be mapped onto one another near the critical point: critieal universality. Renormalization group theory in the early 1970s provided both an explanation and a sharper definition of universality. Systems with similar behavior - universality classes - correspond to the same fixed point of a renormalization group transformation. A number of brilliant con- tributions showed how the same concepts could be applied to non-thermodynamie systems, such as the statisties of self-avoiding walks or of connected clusters on a lattice. A few years later it was realized that chaotie dynamieal systems mayaiso exhibit some degree of universality, the paradigmatic example being the period doubling cascade in the iterated maps of the unit interval into itself.

Автор: Weiss
Название: Reflected Brownian Motions in the KPZ Universality Class
ISBN: 3319494988 ISBN-13(EAN): 9783319494982
Издательство: Springer
Рейтинг:
Цена: 7685.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book presents a detailed study of a system of interacting Brownian motions in one dimension. The interaction is point-like such that the n-th Brownian motion is reflected from the Brownian motion with label n-1. This model belongs to the Kardar-Parisi-Zhang (KPZ) universality class. In fact, because of the singular interaction, many universal properties can be established with rigor. They depend on the choice of initial conditions. Discussion addresses packed and periodic initial conditions (Chapter 5), stationary initial conditions (Chapter 6), and mixtures thereof (Chapter 7). The suitably scaled spatial process will be proven to converge to an Airy process in the long time limit. A chapter on determinantal random fields and another one on Airy processes are added to have the notes self-contained. These notes serve as an introduction to the KPZ universality class, illustrating the main concepts by means of a single model only. The notes will be of interest to readers from interacting diffusion processes and non-equilibrium statistical mechanics.