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14 papers · 1 filter
Regularity And Extremality Of Quasiconformal Homeomorphisms On CR 3-Manifolds
Puqi Tang
This paper first studies the regularity of conformal homeomorphisms on smooth locally embeddable strongly pseudoconvex CR manifolds. Then moduli of curve families are used to estim…
Quasiconformal Homeomorphisms on CR 3-Manifolds With Symmetries
Puqi Tang
An extremal quasiconformal homeomorphisms in a class of homeomorphisms between two CR 3-manifolds is an one which has the least conformal distortion among this class. This paper st…
Markov chain analysis of random walks on disordered medium
Sonali Mukherjee, Hisao Nakanishi, Norman H. Fuchs
We study the dynamical exponents and for a particle diffusing in a disordered medium (modeled by a percolation cluster), from the regime of extreme disorder (i.e.,…
Statistics of self-avoiding walks on randomly diluted lattice
M. D. Rintoul, Jangnyeol Moon, Hisao Nakanishi
A comprehensive numerical study of self-avoiding walks (SAW's) on randomly diluted lattices in two and three dimensions is carried out. The critical exponents and are calcu…
A New Finite-Size Scaling Approach to Random Walks
Achille Giacometti, Hisao Nakanishi
We present a new finite-size scaling method for the random walks (RW) superseeding a previously widely used renormalization group approach, which is shown here to be inconsistent.…
Weak Non Self-Averaging Behaviour for Diffusion in a Trapping Environment
Achille Giacometti, Amos Maritan
The statistics of equally weighted random paths (ideal polymer) is studied in and dimensional percolating clusters. This is equivalent to diffusion in the presence of a tra…