Results 11 to 20 of about 9,188 (209)

Coxeter Groups and Asynchronous Cellular Automata [PDF]

, 2010
The dynamics group of an asynchronous cellular automaton (ACA) relates properties of its long term dynamics to the structure of Coxeter groups. The key mathematical feature connecting these diverse fields is involutions.
Macauley, Matthew, Mortveit, Henning S.
core   +3 more sources

Universal Cellular Automata and Class 4 [PDF]

, 1994
Wolfram has provided a qualitative classification of cellular automata(CA) rules according to which, there exits a class of CA rules (called Class 4) which exhibit complex pattern formation and long-lived dynamical activity (long transients).
A.R. Smith III, Avinash Dhar, C.G. Langton, C.G. Langton, E. Berklamp, G. Vichniac, G.J. Klir, Gautam Mandal, J.E. Hopcroft, K. Cullik II, K. Cullik II, M. Minsky, N. Margolus, Porus Lakdawala, S. Wolfram, S. Wolfram, Spenta R. Wadia, W. Li   +17 more
core   +3 more sources

A Survey of Cellular Automata: Types, Dynamics, Non-uniformity and Applications

, 2018
Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from simple local interaction and computation. Since the inception of cellular automaton (CA) by von Neumann in 1950s, it has attracted the attention of several ...
Bhattacharjee, Kamalika, Das, Sukanta, Naskar, Nazma, Roy, Souvik   +3 more
core   +1 more source

Applying a Dynamical Systems Model and Network Theory to Major Depressive Disorder [PDF]

, 2019
Mental disorders like major depressive disorder can be seen as complex dynamical systems. In this study we investigate the dynamic behaviour of individuals to see whether or not we can expect a transition to another mood state.
Gordijn, Marijke C M, Kossakowski, Jolanda J, Riese, Harriette, Waldorp, Lourens J   +3 more
core   +3 more sources

Adjustment and social choice

, 2002
We discuss the influence of information contagion on the dynamics of choices in social networks of heterogeneous buyers. Starting from an inhomogeneous cellular automata model of buyers dynamics, we show that when agents try to adjust their reservation ...
Albert, Dietrich Stauffer, Föllmer, Galam, Galam, Goldenberg, Gérard Weisbuch, Lesourne, Levy, Orléan, Plouraboué, Solomon, Vichniac, Watts, Weisbuch, Weisbuch, Weisbuch, Weisbuch   +17 more
core   +2 more sources

Development of a Prediction Model for Progression Risk in High‐Grade Gliomas Based on Habitat Radiomics and Pathomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu, Yuxi Gong, Weilin Xu, Xingjian Sun, Gefei Jiang, Lei Qiu, Kexin Shi, Mengxing Wu, Yinjiao Fei, Jinling Yuan, Jinyan Luo, Yurong Li, Yuandong Cao, Minhong Pan, Shu Zhou   +14 more
wiley   +1 more source

Formal Languages in Dynamical Systems [PDF]

, 1993
We treat here the interrelation between formal languages and those dynamical systems that can be described by cellular automata (CA). There is a well-known injective map which identifies any CA-invariant subshift with a central formal language.
Troll, G.
core   +1 more source

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu, Yinjiao Fei, Jiaxuan Ding, Kexin Shi, Jinyan Luo, Yuchen Zhu, Xingjian Sun, Gefei Jiang, Yuandong Cao, Weilin Xu, Shu Zhou   +10 more
wiley   +1 more source

Cellular Probabilistic Automata - A Novel Method for Uncertainty Propagation

, 2013
We propose a novel density based numerical method for uncertainty propagation under certain partial differential equation dynamics. The main idea is to translate them into objects that we call cellular probabilistic automata and to evolve the latter. The
Kohler, Dominic, Müller, Johannes, Wever, Utz   +2 more
core   +1 more source

Ultimate Traces of Cellular Automata [PDF]

, 2010
A cellular automaton (CA) is a parallel synchronous computing model, which consists in a juxtaposition of finite automata (cells) whose state evolves according to that of their neighbors.
Cervelle, Julien, Formenti, Enrico, Guillon, Pierre   +2 more
core   +7 more sources