We consider the sets of quasi-regular points in the countable symbolic space. We measure the sizes of the sets by Billingsley-Hausdorff dimension defined by Gibbs measures. It is shown that the dimensions of those sets, always bounded from below by the convergence exponent of the Gibbs measure, are given by a variational principle, which generalizes Li and Ma’s result and Bowen’s result.

To the Editor: Seborrheic keratosis is one of the most common benign epidermal tumors in dermatologic clinical practice. Although the association between seborrheic keratosis and other skin tumors was first reported in 1932, its malignant transformation is very rare, with less than 20 published cases. We present the case of a patient with seborrheic keratosis that underwent transformation into ...

Eclogue:1 The logic programming language Prolog is used to provide a rapid-prototype simulator for the VERILOG Hardware Description Language (HDL). The simulator is based on an operational semantics of a significant subset of the language. Using this approach allows the exploration of sometimes subtle behaviours of parallel programs and the possibility of rapid changes or additions to the seman...

We show that assuming lower bounds on the Ricci curvature and injectivity radius absolute value of certain characteristic numbers a Riemannian manifold, including all Pontryagin Chern numbers, is bounded proportionally to volume. The proof relies Chern–Weil theory applied connection constructed from Euclidean connections charts in which metric tensor harmonic has Hölder norm. generalize this th...

could be discerned. Biopsy showed a tumor confined to the epidermis with acanthosis, a certain degree of papillomatosis, markedly atypical cells, and mitotic figures, with a completely intact basement membrane. Immunohistochemical studies using markers such as Melan-A and pancytokeratin cocktail confirmed the nature of the tumor, which was diagnosed as a case of pigmented Bowen disease. We exci...

The standard Bowen model of political competition with single-peaked preferences (Bowen, 1943) predicts party convergence to the median voter’s ideal policy, number equilibrium policies not exceeding two. This result assumes majority rule and a unidimensional policy space. We extend this static dynamic economies where voting is supermajority rule, space totally ordered. show that exact equilibr...