activity
20172020
most citedSelf-referential basis of undecidable dynamics: from The Liar Paradox and The Halting Problem to The Edge of Chaos

42 citations · 80 across the 7 of their papers we have counts for

collaborators

7 papers

physics.soc-ph2020★ 13 cited

The Polycentric Dynamics of Melbourne and Sydney: Suburb attractiveness divides a city at the home ownership level

Emanuele Crosato, Mikhail Prokopenko, Michael S. Harré

Urban dynamics in large metropolitan areas result from complex interactions across social, economic, and political factors, including population distribution, flows of wealth, and…

q-fin.CP2020

Explaining herding and volatility in the cyclical price dynamics of urban housing markets using a large scale agent-based model

Kirill S. Glavatskiy, Mikhail Prokopenko, Adrian Carro +2

Urban housing markets, along with markets of other assets, universally exhibit periods of strong price increases followed by sharp corrections. The mechanisms generating such non-l…

q-fin.ST2019

Q-Gaussian diffusion in stock markets

Alonso-Marroquin Fernando, Arias-Calluari Karina, Harre Michael +2

We analyze the Standard & Poor's 500 stock market index from the last 22 years. The probability density function of price returns exhibits two well-distinguished regimes with self-…

q-fin.ST2018★ 12 cited

Entropy and Transfer Entropy: The Dow Jones and the build up to the 1997 Asian Crisis

Michael S. Harre

Entropy measures in their various incarnations play an important role in the study of stochastic time series providing important insights into both the correlative and the causativ…

physics.ed-ph2018★ 1 cited

An interview based study of pioneering experiences in teaching and learning Complex Systems in Higher Education

Joseph T. Lizier, Michael S. Harré, Melanie Mitchell +5

Due to the interdisciplinary nature of complex systems as a field, students studying complex systems at University level have diverse disciplinary backgrounds. This brings challeng…

cond-mat.stat-mech2017★ 12 cited

Closed-form solutions for the Lévy-stable distribution

Karina Arias-Calluari, Fernando Alonso-Marroquin, Michael Harre

The Lévy-stable distribution is the attractor of distributions which hold power laws with infinite variance. This distribution has been used in a variety of research areas, for exa…

cs.LO2017★ 42 cited

Self-referential basis of undecidable dynamics: from The Liar Paradox and The Halting Problem to The Edge of Chaos

Mikhail Prokopenko, Michael Harré, Joseph Lizier +3

In this paper we explore several fundamental relations between formal systems, algorithms, and dynamical systems, focussing on the roles of undecidability, universality, diagonaliz…