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Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Cosma Rohilla Shalizi , Kristina Lisa Shalizi

The stability of Earth's climate on geological timescales is enabled by the carbon-silicate cycle that acts as a negative feedback mechanism stabilizing surface temperatures via the intake and outgas of atmospheric carbon. On Earth, this…

Earth and Planetary Astrophysics · Physics 2018-05-02 Diana Valencia , Vivian Yun Yan Tan , Zachary Zajac

The understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here we introduce a new model for…

Chaotic Dynamics · Physics 2020-11-16 Gabriele Vissio , Valerio Lucarini

The cellular automata discrete dynamical system is considered as the two-stage process: the majority rule for the change in the automata state and the rule for the change in topological relations between automata. The influence of changing…

Statistical Mechanics · Physics 2007-05-23 Danuta Makowiec

Cellular Automata are discrete--time dynamical systems on a spatially extended discrete space which provide paradigmatic examples of nonlinear phenomena. Their stochastic generalizations, i.e., Probabilistic Cellular Automata, are discrete…

Statistical Mechanics · Physics 2016-07-06 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

Atmospheric and Oceanic Physics · Physics 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio

The primary ingredient of Anthropogenic Global Warming hypothesis is the assumption that atmospheric carbon dioxide variations are the cause for temperature variations. In this paper we discuss this assumption and analyze it on basis of…

Atmospheric and Oceanic Physics · Physics 2013-11-12 Peter Stallinga , Igor Khmelinskii

The searching for the stable patterns in the evolution of cellular automata is implemented using stochastic synchronization between the present structures of the system and its precedent configurations. For most of the known evolution rules…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

In our modeling of the long-term carbon cycle we find potential multiple steady-states in Phanerozoic climates. We include the effects of biotic enhancement of weathering on land, organic carbon burial, oxidation of reduced organic carbon…

Earth and Planetary Astrophysics · Physics 2013-12-24 Stephen Tennenbaum , Faina Berezovskaya , David Schwartzman

Global climate models represent small-scale processes such as clouds and convection using quasi-empirical models known as parameterizations, and these parameterizations are a leading cause of uncertainty in climate projections. A promising…

Atmospheric and Oceanic Physics · Physics 2020-08-31 Janni Yuval , Paul A. O'Gorman

A cellular automaton model is presented for random walkers with biologically motivated interactions favoring local alignment and leading to collective motion or swarming behavior. The degree of alignment is controlled by a sensitivity…

Biological Physics · Physics 2009-10-30 H. J. Bussemaker , A. Deutsch , E. Geigant

Biological functions in living cells are controlled by protein interaction and genetic networks. These molecular networks should be dynamically stable against various fluctuations which are inevitable in the living world. In this paper, we…

Molecular Networks · Quantitative Biology 2009-11-13 Yuping Zhang , Minping Qian , Qi Ouyang , Minghua Deng , Fangting Li , Chao Tang

Several complicated non-linear models exist which simulate the physical processes leading to fluctuations in global climate. Some of these more advanced models use observations to constrain various parameters involved. However, they tend to…

Atmospheric and Oceanic Physics · Physics 2017-09-27 Rajashik Tarafder , Dibyendu Nandy

Over its multibillion-year history, Earth has exhibited a wide range of climates. Its history ranges from snowball episodes where the surface was mostly or entirely covered by ice to periods much warmer than today, where the cryosphere was…

Geophysics · Physics 2022-12-07 Mark Baum , Minmin Fu

Cellular automata represent physical systems where both space and time are discrete, and the associated physical quantities assume a limited set of values. While previous research has applied cellular automata in modeling chemical,…

Cellular Automata and Lattice Gases · Physics 2024-10-30 Temitayo Adefemi

Cellular automata (CA) provide a minimal formalism for investigating how simple local interactions generate rich spatiotemporal behavior in domains as diverse as traffic flow, ecology, tissue morphogenesis and crystal growth. However,…

Machine Learning · Computer Science 2025-06-24 Jaime A. Berkovich , Noah S. David , Markus J. Buehler

We propose a dedicated model to assist with the life cycle analysis of emissions of scientific computing centres. The model takes into account both the embodied carbon and emissions from use, as well as other factors such as data centre…

High Energy Physics - Experiment · Physics 2025-10-03 Wim Vanderbauwhede , Mattias Wadenstein

The last decade has seen the success of stochastic parameterizations in short-term, medium-range and seasonal forecasts: operational weather centers now routinely use stochastic parameterization schemes to better represent model inadequacy…

Quantifying long-term historical climate is fundamental to understanding recent climate change. Most instrumentally recorded climate data are only available for the past 200 years, so proxy observations from natural archives are often…

A method for studying the qualitative dynamical properties of abstract computing machines based on the approximation of their program-size complexity using a general lossless compression algorithm is presented. It is shown that the…

Computational Complexity · Computer Science 2011-01-24 Hector Zenil