The 033(6R) structural group existence condition in real field

Characterizing the Multiplicative Group of a Real Closed Field in Terms of its Divisible Maximal Subgroup

characterizing the multiplicative group of a real closed field in terms of its divisible maximal subgroup

a structural survey of the polish posters

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Real-space renormalization group for the random-field Ising model.

We present real–space renormalization group (RG) calculations of the critical properties of the random–field Ising model on a cubic lattice in three dimensions. We calculate the RG flows in a two–parameter truncation of the Hamiltonian space. As predicted, the transition at finite randomness is controlled by a zero temperature, disordered critical fixed point, and we exhibit the universal cross...

The Unit Group of a Real Quadratic Field

While the unit group of an imaginary quadratic field is very simple, the unit group of a real quadratic field has nontrivial structure. Its study involves some geometry and analysis, but also it relates to Pell's equation and continued fractions, topics from elementary number theory.