677 research outputs found
The Kinetic Basis of Self-Organized Pattern Formation
In his seminal paper on morphogenesis (1952), Alan Turing demonstrated that
different spatio-temporal patterns can arise due to instability of the
homogeneous state in reaction-diffusion systems, but at least two species are
necessary to produce even the simplest stationary patterns. This paper is aimed
to propose a novel model of the analog (continuous state) kinetic automaton and
to show that stationary and dynamic patterns can arise in one-component
networks of kinetic automata. Possible applicability of kinetic networks to
modeling of real-world phenomena is also discussed.Comment: 8 pages, submitted to the 14th International Conference on the
Synthesis and Simulation of Living Systems (Alife 14) on 23.03.2014, accepted
09.05.201
On the Dynamic Qualitative Behaviour of Universal Computation
We explore the possible connections between the dynamic behaviour of a system
and Turing universality in terms of the system's ability to (effectively)
transmit and manipulate information. Some arguments will be provided using a
defined compression-based transition coefficient which quantifies the
sensitivity of a system to being programmed. In the same spirit, a list of
conjectures concerning the ability of Busy Beaver Turing machines to perform
universal computation will be formulated. The main working hypothesis is that
universality is deeply connected to the qualitative behaviour of a system,
particularly to its ability to react to external stimulus--as it needs to be
programmed--and to its capacity for transmitting this information.Comment: forthcoming in Complex Systems vol. 2
Artificial life meets computational creativity?
I review the history of work in Artificial Life on the problem of the open-ended evolutionary growth of complexity in computational worlds. This is then put into the context of evolutionary epistemology and human creativity
Computation in Economics
This is an attempt at a succinct survey, from methodological and epistemological perspectives, of the burgeoning, apparently unstructured, field of what is often ā misleadingly ā referred to as computational economics. We identify and characterise four frontier research fields, encompassing both micro and macro aspects of economic theory, where machine computation play crucial roles in formal modelling exercises: algorithmic behavioural economics, computable general equilibrium theory, agent based computational economics and computable economics. In some senses these four research frontiers raise, without resolving, many interesting methodological and epistemological issues in economic theorising in (alternative) mathematical modesClassical Behavioural Economics, Computable General Equilibrium theory, Agent Based Economics, Computable Economics, Computability, Constructivity, Numerical Analysis
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