Comment on "Critical behavior of the chain-generating function of self-avoiding walks on the sierpinski gasket family: the euclidean limit"

Crossover exponent for piecewise directed walk adsorption on Sierpinski fractals

We study the problem of critical adsorption of piecewise directed random walks on a boundary of fractal lattices that belong to the Sierpinski gasket family. By applying the exact real space renormalization group method, we calculate the crossover exponent φ, associated with the number of adsorbed steps, for the complete fractal family. We demonstrate that our results are very close to the resu...

On the number of contacts of a floating polymer chain crosslinked with a surface adsorbed chain on fractal structures

We study the interaction problem of a linear polymer chain, floating in fractal containers that belong to the three-dimensional Sierpinski gasket (3D SG) family of fractals, with a surface-adsorbed linear polymer chain. Each member of the 3D SG fractal family has a fractal impenetrable 2D adsorbing surface, which appears to be 2D SG fractal. The two-polymer system is modelled by two mutually cr...

Self-interacting self-avoiding walks on the Sierpinski gasket

A family of processes interpolating the Brownian motion and the self - avoiding process on the Sierpi nski

We construct a one-parameter family of self-repelling processes on the Sierpi nski gasket, by taking scaling limits of self-repelling walks on the pre-Sierpi nski gaskets. We prove that our model interpolates between the Brownian motion and the selfavoiding process on the Sierpi nski gasket. Namely, we prove that the process is continuous in the parameter in the sense of convergence in law, and...

A Family of Processes Interpolating the Brownian Motion and the Self-avoiding Process on the Sierpi Nski Gasket and R

We construct a one-parameter family of self-repelling processes on the Sierpi nski gasket, by taking scaling limits of self-repelling walks on the pre-Sierpi nski gaskets. We prove that our model interpolates between the Brownian motion and the self-avoiding process on the Sierpi nski gasket. Namely, we prove that the process is continuous in the parameter in the sense of convergence in law, an...