Search results for "local system"
showing 8 items of 8 documents
The Fubini and Tonelli Theorems for Product Local Systems
2010
The notion of product local system and of the Kurzweil-Henstock type integral related to a product local system is introduced. The main result is a version of the Fubini and Tonelli theorems for product local systems.
Variational measures related to local systems and the Ward propery of P-adic path bases
2006
Some properties of absolutely continuous variational measures associated with local systems of sets are established. The classes of functions generating such measures are described. It is shown by constructing an example that there exists a P-adic path system that defines a differentiation basis which does not possess Ward property.
Clustering local tourism systems by threshold acceptance
2015
Despite the importance of tourism as a leading industry in the development of a country’s economy, there is a lack of criteria and methodologies for the detection, promotion and governance of local tourism systems. We propose a quantitative approach for the detection of local tourism systems that are optimal with respect to geographical, economic, and demographical criteria. To this end, we formulate the issue as an optimization problem, and we solve it by means of Threshold Acceptance, a meta-heuristic algorithm which does not require us to predefine the number of clusters and also does not require all geographic areas to belong to a cluster.
The homotopy Leray spectral sequence
2018
In this work, we build a spectral sequence in motivic homotopy that is analogous to both the Serre spectral sequence in algebraic topology and the Leray spectral sequence in algebraic geometry. Here, we focus on laying the foundations necessary to build the spectral sequence and give a convenient description of its $E_2$-page. Our description of the $E_2$-page is in terms of homology of the local system of fibers, which is given using a theory similar to Rost's cycle modules. We close by providing some sample applications of the spectral sequence and some hints at future work.
CLUSTERING TOURIST LOCAL SYSTEMS BY VERTEX PARTITIONING AND LOCAL SEARCH
2014
Nonostante l’industria del turismo venga riconosciuta come un settore trainante per l’intera economia di un Paese, a tutt’oggi si registra una mancanza di criteri e metodologie ai fini della localizzazione, promozione e gestione di un Sistema Turistico Locale (STL). A tal fine, nel presente lavoro viene proposto un approccio di tipo quantitativo al problema sia della localizzazione che del dimensionamento ottimale di un STL tenendo conto di criteri e/o vincoli di natura geografica, economica e demografica. Il problema di ottimizzazione è rappresentato su grafo ed è risolto ricorrendo all’algoritmo di ricerca locale di Threshold Accepting (TA). Despite the importance of tourism as a leading …
A methodology and algorithms for an optimal identification of Tourist Local Systems
2007
In last years, despite the emphasis on the importance of tourism as a leading industry in the development of a country’s economy, there is a lack of criteria and methodologies for the identification, the promotion and the governance of Tourism Local Systems (TLS). Moreover, nowadays an important debate is more and more emerging on the sustainable tourism development which involve three interconnected aspects: environmental, socio-cultural and economic. To this end, in this paper, a rigorous mathematical model is proposed for the optimal identification and dimensioning of TLS. The model here presented consists of a two stage methodology: at first, all the factors that characterize a geograph…
Product local system and Fubini and Tonelli theorems
2008
We present an integral, called S-integral, de ned by means of Riemann sums related to product local systems on the plane. The classical Henstock integral on the plane with respect to the Kurzweil basis is an example of integral related to a product local system. Some properties and a Fubini type theorem for the S-integral are considered. A monotone convergence theorem for the integral constructed by a local sys- tem in the real line is given and it is used to obtain a Tonelli type theorem for a product local system.
The Smart Land Paradigm in the Sicani Territorial Archipelago
2017
With the aim to identify the specific identities of the Sicani territory, to interpret them in a perspective of innovative development and to define strategies capable of intercepting programming in progress, it has been deepened the “territorial archipelago” theoretical framework , recognizing it into the Sicani territory and trying to use it as the base of a possible development of a Smart Land, as a “non-gravitational” paradigm able to recognize and to direct the new relations of the rur-urban local systems.