منابع مشابه
Critical Exponents of Words over 3 Letters
For all α ≥ RT (3) (where RT (3) = 7/4 is the repetition threshold for the 3-letter alphabet), there exists an infinite word over 3 letters whose critical exponent is α.
متن کاملCritical exponents of infinite balanced words
Over an alphabet of size 3 we construct an infinite balanced word with critical exponent 2 + √ 2/2. Over an alphabet of size 4 we construct an infinite balanced word with critical exponent (5 + √ 5)/4. Over larger alphabets, we give some candidates for balanced words (found computationally) having small critical exponents. We also explore a method for proving these results using the automated t...
متن کاملCritical Exponents of the 3-d Ising Model
We present a status report on the ongoing analysis of the 3D Ising model with nearest-neighbor interactions using the Monte Carlo Renormalization Group (MCRG) and finite size scaling (FSS) methods on 64, 128, and 256 simple cubic lattices. Our MCRG estimates are K nn = 0.221655(1)(1) and ν = 0.625(1). The FSS results for K are consistent with those from MCRG but the value of ν is not. Our best ...
متن کاملCritical Exponents of Erbium
The exponent P that describes the sinusoidally modulate d * paramagnetic phase transition crosses over from a value of 0.39 near TN to a mean field value away from TN. Electrical resistivity measurements near TN are given for the c axis and the critical behaviour is discussed. Erbium orders below its NBel temperature TN= 85 K with its spins directed along the c axis of the hcp crystal and with ...
متن کاملCritical exponents , conformal invariance and planar Brownian motion 3
In this review paper, we rst discuss some open problems related to two-dimensional self-avoiding paths and critical percolation. We then review some closely related results (joint work with Greg Lawler and Oded Schramm) on critical exponents for two-dimensional simple random walks, Brownian motions and other conformally invariant random objects.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2011
ISSN: 1077-8926
DOI: 10.37236/612