BACKGROUND AND AIM: Ameloblastic fibro-odontoma (AFO) is a rare, mixed odontogenic tumor that usually occurs in children and young adults with no gender predominance. Posterior mandibular region is usually involved and a painless swelling is the most common clinical feature.CASE REPORT: We here report a case of AFO in a 12-year-old girl with a complaint of a painful expansive lesion in the righ...

Let (AZ, F ) be a bipermutative algebraic cellular automaton. We present conditions which force a probability measure which is invariant for the N×Z-action of F and the shift map σ to be the Haar measure on Σ, a closed shift-invariant subgroup of the Abelian compact group AZ. This generalizes simultaneously results of B. Host, A. Maass and S. Mart́ınez [7] and M. Pivato [14]. This result is appl...

Let d ≥ 1, and let α be an expansive Z-action by continuous automorphisms of a compact abelian group X with completely positive entropy. Then the group ∆α(X) of homoclinic points of α is countable and dense in X, and the restriction of α to the α-invariant subgroup ∆α(X) is a Z-action by automorphisms of ∆α(X). By duality, there exists a Z-action α∗ by automorphisms of the compact abelian group...

In this research paper, we concentrate on the existence and uniqueness of common fixed points various mappings in b2 metric space under generalized (ϕ,f)λ-expansive conditions implicit contractive conditions. Additionally, derive a progression noteworthy approaches ideas extending conclusions real to space, which advances investigation will be able advance.

We study expansive invertible onesided cellular automata (i.e., expansive automorphisms of onesided full shifts) and find severe dynamical and arithmetic constraints which provide partial answers to questions raised by M. Nasu [N2]. We employ the images and bilateral dimension groups, measure multipliers, and constructive combinatorial characterizations for two classes of cellular automata.

In this paper, we show that if a transitive set Λ is C-stably expansive, then Λ admits a dominated splitting.

We investigate striped structures of stable and unstable sets of expansive homeomorphisms and continuum-wise expansive homeomorphisms. The following theorem is proved: if f : X → X is an expansive homeomorphism of a compact metric space X with dimX > 0, then the decompositions {W (x) | x ∈ X} and {W (x) | x ∈ X} of X into stable and unstable sets of f respectively are uncountable, and moreover ...

This Article is brought to you for free and open access by the Ocean, Earth & Atmospheric Sciences at ODU Digital Commons. It has been accepted for inclusion in OEAS Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Cutter, Gregory A. and Krahforst, Christian F., "Sulfide in Surface Waters...

Let (X, d, T ) be a dynamical system, where (X, d) is a compact metric space and T : X → X a continuous map. We introduce two conditions for the set of orbits, called respectively g-almost product property and uniform separation property. The g-almost product property holds for dynamical systems with the specification property, but also for many others. For example all β-shifts have the g-almos...