Grimmett: The Random-Cluster Model

Zitat

“The random-cluster model as studied so far is random in space but not in time. There are a variety of ways of introducing time-dynamics into the model, and some good reasons for so doing. The principal reason is that, in our 3 + 1 dimensional universe, the time-evolution of processes is fundamental. It entails the concepts of equilibrium and convergence, of metastability, and of chaos. A rigorous theory of time-evolution in statistical mechanics is one of the major achievements of modern probability theory with which the names Dobrushin, Spitzer, and Liggett are easily associated.” (p. 222) #Grimmett #Random-ClusterModel #Space #Time #ProbabilityTheory

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Grimmett, Geoffrey R., The Random-Cluster Model. With 37 Figures. Berlin/Heidelberg: Springer 2006. 377 S., ISBN 978-3-540-32890-2.

Neu :: Baudart: La religion et Michel Serres

Zitat

„Michel Serres nous est familier sous les traits du père de Petite Poucette, de l’écrivain, du conteur, du philosophe scientifique. Il l’est certainement moins sous ceux du „pèlerin de l’absolu“, comme il aimait à se définir. Pourtant, que l’on évoque ses premiers ouvrages honorant la figure d’Hermès, les voix animistes peuplant le chant du monde, la parole forte de Bioqée, les anges dont il écrivit La Légende, les accents panthéistes du Tiers-Instruit, les chants poétiques, voire les expériences mystiques, qui ont innervé ses livres jusqu’à la clé de voûte de Relire le relié, le thème du religieux émaille de part en part sa philosophie. Anne Baudart, philosophe proche de Serres, propose ici une nouvelle approche, qui revisite l’œuvre du penseur à l’aune des liens – parfois inattendus, mais toujours vivants – qu’il a tissés, de livre en livre, avec le religieux. N’aspirait-il pas, au fond, à une religion du lien, qui n’exclut rien ni personne ?“ #Baudart #Serres #Religion

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Baudart, Anne, La religion et Michel Serres. Paris: Pommier 2023, ISBN 978-2-7465-2561-0.

Newman: Networks

Zitat

“The study of networks, in the form of mathematical graph theory, is one of the fundamental pillars of discrete mathematics.” (p. 2) #Newman #networks #GraphTheory #mathematics

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Newman, Mark E. J., The Structure and Function of Complex Networks, in: SIAM Review 45 (2003), 167–256.

August: Systeme

Zitat

“Ein System ist dann ein Set an Variablen, das in einer Matrix bzw. in Matrizen erfasst werden kann, sodass sich Relationen und Transformationsregeln in Funktionen und Vektoren festhalten lassen. Diese können wiederum unmittelbar in Funktionsgraphen und Kräftediagramme übertragen werden, die dann – so Ashby – »a basic network, a diagram of immediate effects« zeigen.” (p. 142) #August #Ashby #System #Matrix

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August, Vincent, Technologisches Regieren. Der Aufstieg des Netzwerk-Denkens in der Krise der Moderne. Foucault, Luhmann und die Kybernetik. Bielefeld: Transcript 2021. 480 S., ISBN 978-3-8376-5597-1.

Lyotard: Zentrum

Zitat

“Die Dekadenz des ZENTRUMS wird vom Untergang der Idee des IMPERIUMS begleitet.” (p. 38) #Lyotard #Zentrum #Imperium

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Lyotard, Jean-François, Kleine Perspektivierung der Dekadenz und einiger minoritärer Gefechte, die hier zu führen sind (übersetzt von Clemens-Carl Härle), in: Das Patchwork der Minderheiten. Für eine herrenlose Politik. Berlin: Merve 1977, 7–51.