Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point x in a decreasing sequence of neighborhoods of another point y. It is proved that these recurrence indicators are a.e. greater or equal to the local dimension at y, then these recurrence indicators can be used to have a numerical upper bound on the local dimension of an invariant measure.

Correspondence: [email protected] Future Cities Laboratory, Singapore-ETH Centre, Singapore Full list of author information is available at the end of the article Abstract As cities grow, certain neighborhoods experience a particularly high demand for housing, resulting in escalating rents. Despite far-reaching socioeconomic consequences, it remains difficult to predict when and where urba...

Neighborhood context is recognized as an important predictor of individual-level behaviors and health outcomes (Pickett and Pearl 2001; Lee and Cubbin 2002; Sampson 2003). Neighborhoods, however, are difficult to define both in theory and in practice, and are often drawn to follow existing administrative boundaries or sampling schemes, or must be set arbitrarily due to a lack of sufficient data...

abstract: one of the most important and complicated social transitions has been growth of worldwide urbanization. the rapid growth of urbanization and cities has had different consequences which is associated with much urban vulnerability. physical, installation, environmental, economical and social inequalities have been the results of such urban growth. this paper aims to study and identify t...

BACKGROUND Epidemiologic studies have linked exposure to traffic-generated air and noise pollution with a wide range of adverse health effects in children. Children spend a large portion of time at school, and both air pollution and noise are elevated in close proximity to roads, so school location may be an important determinant of exposure. No studies have yet examined the proximity of school...

We describe a method to define and use subwebs, user-defined neighborhoods of the Internet. Subwebs help improve search performance by inducing a topic-specific page relevance bias over a collection of documents. Subwebs may be automatically identified using a simple algorithm we describe, and used to provide highly-relevant topic-specific information retrieval. Using subwebs in a Help and Supp...

CONTEXT Washing hands with soap prevents diarrhea, but children at the highest risk of death from diarrhea are younger than 1 year, too young to wash their own hands. Previous studies lacked sufficient power to assess the impact of household handwashing on diarrhea in infants. OBJECTIVE To evaluate the effect of promoting household handwashing with soap among children at the highest risk of d...

In this paper, we introduce the generalized Saitoh operator Lp(a, c, η) and using this operator, the new subclasses H n,m(a, c, η), L n,m(a, c, η;μ), H n,m (a, c, η) and L n,m (a, c, η;μ) of the class of multivalent functions denoted by Ap(n) are defined. Further for functions belonging to these classes, certain properties of neighborhoods are studied.

*Correspondence: [email protected] Department of Mathematics, Faculty of Arts and Science, Uludag University, Bursa, 16059, Turkey Abstract We introduce a certain subclass of harmonic multivalent functions defined by using a Ruscheweyh derivative operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for the above class of harmonic multivalent fu...

Quantitative recurrence indicators are defined by measuring the first entrance time of the orbit of a point x in a decreasing sequence of neighborhoods of another point y. It is proved that these recurrence indicators are a.e. greater or equal to the local dimension at y, then these recurrence indicators can be used to have a numerical upper bound on the local dimension of an invariant measure.