Lattice numerical simulations for planar closed random walks and their winding sectors are presented. The frontiers of the random walks and of their winding sectors have a Hausdorff dimension dH = 4/3. However, when properly defined by taking into account the inner 0-winding sectors, the frontiers of the random walks have a Hausdorff dimension dH ≈ 1.77.

Addressing genetics, risk modeling, molecular targets for chemoprevention, clinical prevention trials, behavioral prevention research, public policy, and more, the Fifth Annual International Conference on Frontiers in Cancer Prevention Research, held in Boston, Massachusetts, in November 2006, added an outstanding new chapter to the landmark AACR Frontiers program for advancing the science and ...

Citation: Ghanei N and Amin RH (2017) Commentary: Neutral Commentary on Frontiers Article “Cobalt Chloride Upregulates Impaired HIF-1α Expression to Restore Sevoflurane Post-conditioning-Dependent Myocardial Protection in Diabetic Rats”. Front. Physiol. 8:926. doi: 10.3389/fphys.2017.00926 Commentary: Neutral Commentary on Frontiers Article “Cobalt Chloride Upregulates Impaired HIF-1α Expressio...

Many applications require to extract the surface of an object from a discrete set of valued points, applications in which the topological soundness of the obtained surface is, in many case, of the utmost importance. In this paper, we introduce the notion of frontier order which provides a discrete framework for defining frontiers of arbitrary objects. A major result we obtained is a theorem whi...