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Mathematical treatment of the canonical ...

Rodriguez-Horta, E....

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Mathematical treatment of the canonical finite state machine for the Ising model: $\epsilon$-machine by Rodriguez-Horta, E. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	02-08-2023
Summary	The complete framework for the $\epsilon$-machine construction of the one dimensional Ising model is presented correcting previous mistakes on the subject. The approach follows the known treatment of the Ising model as a Markov random field, where usually the local characteristic are obtained from the stochastic matrix, the problem at hand needs the inverse relation, or how to obtain the stochastic matrix from the local characteristics, which are given via the transfer matrix treatment. The obtained expressions allow to perform complexity-entropy analysis of particular instance of the Ising model. Three examples are discussed: the 1/2-spin nearest neighbor and next nearest neighbor Ising model, and the persistent biased random walk.
ISBN	-
Item Type	Article
File Type	pdf
File Size	37.08 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1512.04270

Citation

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AMA 11th EditionReferences

Rodriguez-Horta, E.. Mathematical treatment of the canonical finite state machine for the Ising model: $\epsilon$-machine. N.A. August 02, 2023. Accessed August 19, 2025. https://online.provdatabase.com/cite/11580

APA 7th EditionReferences

Rodriguez-Horta, E.. (2023). Mathematical treatment of the canonical finite state machine for the Ising model: $\epsilon$-machine. N.A. https://online.provdatabase.com/cite/11580

Chicago 17th EditionReferences

Rodriguez-Horta, E.. Mathematical treatment of the canonical finite state machine for the Ising model: $\epsilon$-machine. N.A. 2023. https://online.provdatabase.com/cite/11580

HarvardReferences

Rodriguez-Horta, E.. (2023). Mathematical treatment of the canonical finite state machine for the Ising model: $\epsilon$-machine. [Online]. N.A. Available from: https://online.provdatabase.com/cite/11580. (Accessed 19 August 2025).

Harvard AustraliaReferences

Rodriguez-Horta, E., 2023, Mathematical treatment of the canonical finite state machine for the Ising model: $\epsilon$-machine, N.A, viewed 19 August 2025, <https://online.provdatabase.com/cite/11580>

MLA 9th EditionWorks Cited

Rodriguez-Horta, E.. Mathematical treatment of the canonical finite state machine for the Ising model: $\epsilon$-machine. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/11580.

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