منابع مشابه
Restoration of isotropy on fractals.
We report a new type of restoration of macroscopic isotropy (homogenization) in fractals with microscopic anisotropy. The phenomenon is observed in various physical setups, including diffusions, random walks, resistor networks, and Gaussian field theories. The mechanism is unique in that it is absent in uniform media, while universal in that it is observed in a wide class of fractals. 05.40+j, ...
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Let F be an arbitrary field (of arbitrary characteristic). Let A be a central simple F -algebra endowed with a quadratic pair σ (if charF 6= 2 then σ is simply an orthogonal involution on A). We show that the Witt index of σ over the function field of the Severi-Brauer variety of A is divisible by the Schur index of the algebra A.
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An alphabet A is a finite set of letters. A word is a finite sequence of letters. Denote the set of words by A+. For a word u = u1u2 · · ·un ∈ A+, |u| is called the length of u. For each letter a, we denote by |u|a the number of occurrence of a in u. Full Shifts. Let AZ be the set of all biinfinite sequences of alphabets from A, i.e. AZ = {x = (xi)i∈Z : xi ∈ A, ∀i ∈ Z}. Consider a shifting oper...
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The scaling behavior of linear polymers in disordered media, modelled by self-avoiding walks (SAWs) on the backbone of percolation clusters in two, three and four dimensions is studied by numerical simulations. We apply the pruned-enriched Rosenbluth chain-growth method (PERM). Our numerical results yield estimates of critical exponents, governing the scaling laws of disorder averages of the co...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1995
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.75.3042