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random vector

Overview page. Subjects: Mathematics.

An ordered set of n random variables, often representing the outcomes of a repeated experiment. For example, if I throw a die four times the outcome of the experiment could be described by...

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Renormalization procedure for random tensor networks and the canonical tensor model

Naoki Sasakura and Yuki Sato.

in Progress of Theoretical and Experimental Physics

April 2015; p ublished online April 2015 .

Journal Article. Subjects: Particles and Fields. 8911 words.

We discuss a renormalization procedure for random tensor networks, and show that the corresponding renormalization-group flow is given by the Hamiltonian vector flow of the canonical tensor...

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Ising model on random networks and the canonical tensor model

Naoki Sasakura and Yuki Sato.

in Progress of Theoretical and Experimental Physics

P ublished online May 2014 .

Journal Article. Subjects: Classical Mechanics; Particles and Fields. 6262 words.

We introduce a statistical system on random networks of trivalent vertices for the purpose of studying the canonical tensor model, which is a rank-three tensor model in the canonical...

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