Hamiltonian mappings and circle packing phase spaces.

We introduce three area preserving maps with phase space structures which resemble circle packings. Each mapping is derived from a kicked Hamiltonian system with one of the three different phase space geometries (planar, hyperbolic or spherical) and exhibits an infinite number of coexisting stable periodic orbits which appear to ‘pack’ the phase space with circular resonances.

Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces

In the present paper, we establish two fixed point theorems for upper semicontinuous multivalued mappings in hyperconvex metric spaces and apply these to study coincidence point problems and minimax problems. (C) 2002 Elsevier Science (USA). All rights reserved.

Branching processes and computational collapse of discretized unimodal mappings

In computer simulations of smooth dynamical systems, the original phase space is replaced by machine arithmetic, which is a finite set. The resulting spatially discretized dynamical systems do not inherit all functional properties of the original systems, such as surjectivity and existence of absolutely continuous invariant measures. This can lead to computational collapse to fixed points or short cycles. The paper studies loss of such properties in spatial discretizations of dynamical systems induced by unimodal mappings of the unit interval. The problem reduces to studying set-valued negative semitrajectories of the discretized system. As the grid is refined, the asymptotic behavior of the cardinality structure of the semitrajectories follows probabilistic laws corresponding to a branching process. The transition probabilities of this process are explicitly calculated. These results are illustrated by the example of the discretized logistic mapping.

On continuous selection problems for multivalued mappings with the local intersection property in hyperconvex metric spaces

In the paper we present two continuous selection theorems in hyperconvex metric spaces and apply these to study xed point and coincidence point problems as well as variational inequality problems in hyperconvex metric spaces.

On mappings preserving the sharp and star orders

The present paper is devoted to the study of linear maps preserving certain relations, such as the sharp partial order and the star partial order in semisimple Banach algebras and C*-algebras.

Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings

"Vegeu el resum a l'inici del document del fitxer adjunt."

Sobolev mappings: Lipschitz density is not an isometric invariant of the target

"Vegeu el resum a l'inici del document del fitxer adjunt."

Sobolev mappings, degree, homotopy classes and rational homology spheres

"Vegeu el resum a l'inici del document del fitxer adjunt."

Distortion theorems for quasiconformal mappings

L'any 1994, Astala publicà el reconegut teorema de distorió de l'àrea per aplicacions quasiconformes, un resultat innovador que va permetre que n'apareguessin nombrosos més dins d'aquest camp de l'anàlisi durant la darrera dècada. Ens centrem en les conseqüències que té en la distorsió de la mesura de Hausdorff. Seguim la demostració de Lacey, Sawyer i Uriarte-Tuero per la distorsió del contingut de Hausdorff, clarificant-ne alguns punts i canviant l'enfocament per l'acotació de la transformada de Beurling, on prenem les idees d'Astala, Clop, Tolsa, Uriarte-Tuero i Verdera.

From Educational Segregation to Transformative Inclusion

Recent studies conducted in Europe using communicative methodology highlight that different ways of grouping students has a direct effect on their academic output. This article analyzes how said research methodology identifies and analyzes those student groupings that provide greater academic success and improve classroom coexistence at Spanish educational centers. Said methodology entails all of the research participants researchers, teachers, families, and students reflecting on the consequences of streaming, mixture, and inclusion for student academic achievement. Following this, our conclusions are compared with the policies and educational practices implemented in Spanish schools, which are not based on scientific knowledge and do not usually lead to academic success. Finally, recommendations are presented for future educational policies with the aim of providing an alternative for teachers and educational managers that would substantially improve student academic success.

Quasiconformal mappings and inequalities involving special functions

This PhD thesis in Mathematics belongs to the field of Geometric Function Theory. The thesis consists of four original papers. The topic studied deals with quasiconformal mappings and their distortion theory in Euclidean n-dimensional spaces. This theory has its roots in the pioneering papers of F. W. Gehring and J. Väisälä published in the early 1960’s and it has been studied by many mathematicians thereafter. In the first paper we refine the known bounds for the so-called Mori constant and also estimate the distortion in the hyperbolic metric. The second paper deals with radial functions which are simple examples of quasiconformal mappings. These radial functions lead us to the study of the so-called p-angular distance which has been studied recently e.g. by L. Maligranda and S. Dragomir. In the third paper we study a class of functions of a real variable studied by P. Lindqvist in an influential paper. This leads one to study parametrized analogues of classical trigonometric and hyperbolic functions which for the parameter value p = 2 coincide with the classical functions. Gaussian hypergeometric functions have an important role in the study of these special functions. Several new inequalities and identities involving p-analogues of these functions are also given. In the fourth paper we study the generalized complete elliptic integrals, modular functions and some related functions. We find the upper and lower bounds of these functions, and those bounds are given in a simple form. This theory has a long history which goes back two centuries and includes names such as A. M. Legendre, C. Jacobi, C. F. Gauss. Modular functions also occur in the study of quasiconformal mappings. Conformal invariants, such as the modulus of a curve family, are often applied in quasiconformal mapping theory. The invariants can be sometimes expressed in terms of special conformal mappings. This fact explains why special functions often occur in this theory.

Exploring the role and transformative potential of human rights in development practice and food security : case study from Malawi

Avhandlingen är en analys av den roll som mänskliga rättigheter spelar i utvecklingssamarbete i allmänhet och tre matsäkerhetsprojekt i Malawi i synnerhet. Författaren undersöker huruvida mänskliga rättigheter kan bidra till samhälleliga förändringsprocesser. Undersökningen har en diskursiv syn på mänskliga rättigheter; rättigheter ses som sociala konstruktioner skapade av människor, konstruktioner som förändras i takt med att aktörerna ger dem ny mening. Människorättsbaserade utvecklingsstrategier riktar uppmärksamheten mot olika aktörers skyldigheter samt vikten av att mänskliga rättigheter inte kränks genom utvecklingspolitiska beslut. En analys som utgår från mänskliga rättigheter kan leda till att nya frågor lyfts fram: vem har skyldigheter, vem har rättigheter, och varför förverkligas inte dessa? Fokus flyttas till hur politiska, ekonomiska och juridiska strukturer kan förändras så att de främjar mänskliga rättigheter. Författaren använder empiriskt material från Malawi för att visa vilken roll mänskliga rättigheter och så kallade människorättsprinciper spelar inom tre projekt: (1) ett mathjälpsprojekt; (2) ett rättighetsbaserat projekt med fokus på att stärka strategier för livsuppehälle; (3) ett juridiskt projekt inom ramen för vilket man skapat ett lagförslag om rätten till föda. Analysen visar att det rättighetsbaserade projektet strävade efter den mest djupgående samhälleliga förändringen. Människorättsprinciperna ansvarighet och deltagande handlade inte endast om verksamheten inom projektet utan man strävade även efter att stärka dessa principer mellan medborgare och myndigheter. Rättigheter, som ett sätt att tala, tänka och handla, inte som abstrakta juridiska normer, påverkade de lokala aktörernas sätt att kräva bl.a. tjänster av lokala myndigheter. Teoretiskt kan man säga att det rättighetsbaserade projektet representerar ett aktörsperspektiv på mänskliga rättigheter där aktörernas egna uppfattningar om vad de är berättigade till samt krav på myndigheters ansvar formade vilken mening rättigheterna kom att få.

Exploring the events that engage graduate students in transformative learning /

This research explored the events that engaged graduate students in transformative learning within a graduate program in education. This context was chosen because one objective of a graduate program is to facilitate critical thinking and transformative learning. The question ofhow adult learners perceive and experience learning steered the direction ofthis study. However, the purpose ofthis research was to study critical incidents that led to profound cognitive and affective changes as perceived by the graduate students. Specifically, the questions to be answered were what critical incidents happened to graduate students while in the Master ofEducation program, how were the incidents experienced, and what transformation resulted? The research design evolved over the course of a year and was highly influenced by previous empirical studies and criticisms oftransformative learning theory. The overall design was qualitative and phenomenological. A critical and interpretive approach was made to empirical data collected through a critical incident questionnaire and in-depth interviews. Inductive analysis allowed theory to be built from the data by making comparisons. New questions emerged and attention was given to social context, the passage oftime, and sequence ofevents in order to give meaning and translation ofthe participants' experiences and to build the interpretive narratives. Deductive analysis was also used on the data and a blending ofthe two forms of analysis; this resulted in the development ofa foundational model for transformative learning to be built.The data revealed critical incidents outside ofthe graduate school program that occurred in childhood or adult life prior to graduate school. Since context of individuals' lives had been an important critique of past transformative learning models and studies, this research expanded the original boundaries of this study beyond graduate school to incorporate incidents that occurred outside of graduate school. Critical incidents were categorized into time-related, people-related, and circumstancerelated themes. It was clear that participants were influenced and molded by the stage oftheir life, personal experiences, familial and cultural conditioning, and even historic events. The model developed in this document fiom an overview ofthe fmdings identifies a four-stage process of life difficulty, disintegration, reintegration, and completion that all participants' followed. The blended analysis was revealed from the description ofhow the incidents were experienced by the participants. The final categories were what were the feelings, what was happening, and what was the enviromnent? The resulting transformation was initially only going to consider cognitive and affective changes, however, it was apparent that contextual changes also occurred for all participants, so this category was also included. The model was described with the construction metaphor of a building "foimdation" to illustrate the variety of conditions that are necessary for transformative learning to occur. Since this was an exploratory study, no prior models or processes were used in data analysis, however, it appeared that the model developed from this study incorporated existing models and provided a more encompassing life picture oftransformative learning.

Are there transformative indicators for motivation to learn?

Fourteen nursing s tudents enrolled in a community coll ege were chosen by purposeful se lection to be i nterviewed in a qualitative survey. A proposed mode l of Learner Motivation Development was examined . The mode l describes four stages of motivati on development progression across the lifespan: I Survival (infancy to childhood), I I Expl oration (childhood to adolescence), III Identification (pre- adulthood), and IV Reflection ( adulthood ). This r esearch examined the last two stages. The criteria used to categorize the students within the fr amework were bas ed on human development theories as described by Maslow (1954) and Erikson (1950). The concept of critica l thinking proposed by Brookfield (1987) and the ideas of transformative learning expressed by Mezirow (1991) were also incorporated. The researcher' s criteria , antici pated behaviours and characteri stics, were used to ana lyze the students' responses to open-ended questions. The central theme of the research was based on the assumption that motivation to learn is intrinsic and inherent in pre-adult and adult learners. Six pre-adults and two adults met the descriptors set for stage III Identification. Five adults and one pre-adult met the criteria for stage IV Reflection. The impact of life e xperiences and maturation were clearly demonstrated.