Abstract
The freedom in choosing the weight function in a Niemeijer van Leeuwen real space renormalization transformation (RSRT) is analized. The analysis refers to Ising-like systems invariant with respect to the spatial group of the lattice. It is shown that the matrix of parameters that define the RSRT satisfies an eigenvalue type of equation with a specific eigenvalue related to the linear scale and with an eigenvector built with the correlation functions. From it follows a delicate relation between the RSRT and the critical exponents.
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© 1991 Springer Science+Business Media Dordrecht
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Cordero, P. (1991). Full Scaling and Real-Space Renormalization. In: Tirapegui, E., Zeller, W. (eds) Instabilities and Nonequilibrium Structures III. Mathematics and Its Applications, vol 64. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3442-2_10
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DOI: https://doi.org/10.1007/978-94-011-3442-2_10
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