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Self-similar transformations of lattice-Ising models at critical temperatures
Self-similar transformations lattice-Ising models critical temperatures General Physics
2012/5/29
We classify geometric blocks that serve as spin carriers into simple blocks and compound blocks by their topologic connectivity, define their fractal dimensions and describe the relevant transformatio...
Method of oscillation and spectral problem for four-order differential operator with self-similar weight
Method of oscillation spectral problem self-similar weight
2011/9/20
Abstract: Self-adjoint boundary problems for the equation $y^{(4)}-\lambda\rho y=0$ with generalized derivative $\rho\in W_2^{-1}[0,1]$ of self-similar Cantor type function as a weight are considered....
On the Existence of a Self-Similar Coarse Graining of a Self-Similar Space
self-similar set fractals dynamical system Cantor set coarse graining
2011/9/16
Abstract: A topological space homeomorphic to a self-similar space is demonstrated to be self-similar. There exists a self-similar space $S$ whose coarse graining is homeomorphic to $S$. The coarse gr...