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76 papers · 1 filter
Poisson spectra in polynomial algebras
David A. Jordan, Sei-Qwon Oh
A significant class of Poisson brackets on the polynomial algebra $\C[x_1,x_2,..., x_n]$ is studied and, for this class of Poisson brackets, the Poisson prime ideals and Poisson pr…
Poisson brackets and Poisson spectra in polynomial algebras
David A. Jordan, Sei-Qwon Oh
Poisson brackets on the polynomial algebra C[x,y,z] are studied. A description of all such brackets is given and, for a significant class of Poisson brackets, the Poisson prime ide…
Characterizations of left orders in left Artinian rings
V. V. Bavula
Small (1966), Robson (1967), Tachikawa (1971) and Hajarnavis (1972) have given different criteria for a ring to have a left Artinian left quotient ring. In this paper, three more n…
The Non-Adiabatic Pressure Perturbation and Non-Canonical Kinetic Terms in Multifield Inflation
C. van de Bruck, S. Vu
The evolution of the non-adiabatic pressure perturbation during inflation driven by two scalar fields is studied numerically for three different types of models. In the first model…
OpenCFU, a New Free and Open-Source Software to Count Cell Colonies and Other Circular Objects
Quentin Geissmann
Counting circular objects such as cell colonies is an important source of information for biologists. Although this task is often time-consuming and subjective, it is still predomi…
What is Nature-like Computation? A Behavioural Approach and a Notion of Programmability
Hector Zenil
The aim of this paper is to propose an alternative behavioural definition of computation (and of a computer) based simply on whether a system is capable of reacting to the environm…