Polar foliations and isoparametric maps

A singular Riemannian foliation F on a complete Riemannian manifold M is called a polar foliation if, for each regular point p, there is an immersed submanifold Sigma, called section, that passes through p and that meets all the leaves and always perpendicularly. A typical example of a polar foliation is the partition of M into the orbits of a polar action, i.e., an isometric action with sections. In this article we prove that the leaves of H : M -> Sigma, coincide with the level sets of a smooth map H: M -> Sigma, if M is simply connected. In particular, the orbits of a polar action on a simply connected space are level sets of an isoparametric map. This result extends previous results due to the author and Gorodski, Heintze, Liu and Olmos, Carter and West, and Terng.

Chains of Infinite Order, Chains with Memory of Variable Length, and Maps of the Interval

We show how to construct a topological Markov map of the interval whose invariant probability measure is the stationary law of a given stochastic chain of infinite order. In particular we characterize the maps corresponding to stochastic chains with memory of variable length. The problem treated here is the converse of the classical construction of the Gibbs formalism for Markov expanding maps of the interval.

Wecken type problems for self-maps of the Klein bottle

We consider various problems regarding roots and coincidence points for maps into the Klein bottle . The root problem where the target is and the domain is a compact surface with non-positive Euler characteristic is studied. Results similar to those when the target is the torus are obtained. The Wecken property for coincidences from to is established, and we also obtain the following 1-parameter result. Families which are coincidence free but any homotopy between and , , creates a coincidence with . This is done for any pair of maps such that the Nielsen coincidence number is zero. Finally, we exhibit one such family where is the constant map and if we allow for homotopies of , then we can find a coincidence free pair of homotopies.

Comparison measures of maps generated by geostatistical methods

This study uses several measures derived from the error matrix for comparing two thematic maps generated with the same sample set. The reference map was generated with all the sample elements and the map set as the model was generated without the two points detected as influential by the analysis of local influence diagnostics. The data analyzed refer to the wheat productivity in an agricultural area of 13.55 ha considering a sampling grid of 50 x 50 m comprising 50 georeferenced sample elements. The comparison measures derived from the error matrix indicated that despite some similarity on the maps, they are different. The difference between the estimated production by the reference map and the actual production was of 350 kilograms. The same difference calculated with the mode map was of 50 kilograms, indicating that the study of influential points is of fundamental importance to obtain a more reliable estimative and use of measures obtained from the error matrix is a good option to make comparisons between thematic maps.

Crea tu perfil en Google Académico

[ES] Tutorial que recoge los pasos a seguir para la creación de un perfil en Google Académico

Índice h de las revistas españolas de Historia según Google Scholar Metrics (2007-2011)

[ES] La aparición de Google Scholar Metrics en abril de 2012 como nuevo sistema de evaluación bibliométrica de revistas científicas a partir del recuento de las citas bibliográficas que estas han recibido en Google Scholar, abre nuevas posibilidades para la medición del impacto de las revistas de humanidades. El objetivo de este trabajo es comprobar el alcance de este producto, a partir del análisis de la cobertura que muestra de las revistas españolas de Historia. Las búsquedas bibliográficas se efectuaron entre el 5 y 6 de diciembre de 2012. Se han identificado 69 revistas, cifra que representa tan solo un 24% de las revistas españolas de Historia. Los valores del índice h alcanzados por las revistas son minúsculos lo que hace que el ranking carezca de poder discriminatorio. Se propone un cambio en el diseño de Google Scholar Metrics para adaptarse a los patrones de producción y citación de la Historia, en particular, y las Humanidades, en general.

Applicabilità degli idrogrammi sintetici di progetto nello studio del comportamento idraulico dei corsi d'acqua naturali

Nella protezione idraulica del territorio la previsione e il controllo delle piene sono di fondamentale importanza. I territori sono sempre più antropizzati, pertanto la riduzione dei rischi connessi a eventi idrometeorologici estremi è di notevole interesse. La previsione delle piene è resa difficile dall’innumerevole quantità di variabili che intervengono nel processo della loro formazione. Nelle attività di progettazione e nella verifica di opere idrauliche la identificazione dell’idrogramma di progetto spesso riveste un’importanza fondamentale. Un idrogramma di progetto è definito come un’onda di piena, realmente osservata o sintetica, associata ad un determinato livello di rischio, quantificato usualmente in termini di tempo di ritorno. Con il presente lavoro si cerca di verificare la possibilità di applicazione una metodologia per la stima degli idrogrammi di progetto associati ad un determinato tempo di ritorno, recentemente proposta dalla letteratura scientifica (Maione et al., 2001, Una metodologia per la stima indiretta degli idrogrammi sintetici per il progetto di opere di difesa idraulica del territorio). Il lavoro è riferito al Fiume Secchia, un affluente importante del Po che scorre tra le provincie di Modena e Reggio Emilia.