Blow-up, concentration phenomenon and global existence for the Keller-Segel model in high dimension

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

Mathematical description of bacterial traveling pulses

The Keller-Segel system has been widely proposed as a model for bacterial waves driven by chemotactic processes. Current experiments on E. coli have shown precise structure of traveling pulses. We present here an alternative mathematical description of traveling pulses at a macroscopic scale. This modeling task is complemented with numerical simulations in accordance with the experimental observations. Our model is derived from an accurate kinetic description of the mesoscopic run-and-tumble process performed by bacteria. This model can account for recent experimental observations with E. coli. Qualitative agreements include the asymmetry of the pulse and transition in the collective behaviour (clustered motion versus dispersion). In addition we can capture quantitatively the main characteristics of the pulse such as the speed and the relative size of tails. This work opens several experimental and theoretical perspectives. Coefficients at the macroscopic level are derived from considerations at the cellular scale. For instance the stiffness of the signal integration process turns out to have a strong effect on collective motion. Furthermore the bottom-up scaling allows to perform preliminary mathematical analysis and write efficient numerical schemes. This model is intended as a predictive tool for the investigation of bacterial collective motion.

Regional value added in Italy over the long run (1891-2001): linking indirect estimates with official figures, and implications

This paper presents value added estimates for the Italian regions, in benchmark years from 1891 until 1951, which are linked to those from official figures available from 1971 in order to offer a long-term picture. Sources and methodology are documented and discussed, whilst regional activity rates and productivity are also presented and compared. Thus some questions are briefly reconsidered: the origins and extent of the north-south divide, the role of migration and regional policy in shaping the pattern of regional inequality, the importance of social capital, and the positioning of Italy in the international debate on regional convergence, where it stands out for the long run persistence of its disparities.

Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states

Nonlinear Noisy Leaky Integrate and Fire (NNLIF) models for neurons networks can be written as Fokker-Planck-Kolmogorov equations on the probability density of neurons, the main parameters in the model being the connectivity of the network and the noise. We analyse several aspects of the NNLIF model: the number of steady states, a priori estimates, blow-up issues and convergence toward equilibrium in the linear case. In particular, for excitatory networks, blow-up always occurs for initial data concentrated close to the firing potential. These results show how critical is the balance between noise and excitatory/inhibitory interactions to the connectivity parameter.

Optimal coexistence of long-term and short-term contracts in labor Markets

We consider a market where firms hire workers to run their projects and such projects differ in profitability. At any period, each firm needs two workers to successfully run its project: a junior agent, with no specific skills, and a senior worker, whose effort is not verifiable. Senior workers differ in ability and their competence is revealed after they have worked as juniors in the market. We study the length of the contractual relationships between firms and workers in an environment where the matching between firms and workers is the result of market interaction. We show that, despite in a one-firm-one-worker set-up long-term contracts are the optimal choice for firms, market forces often induce firms to use short-term contracts. Unless the market only consists of firms with very profitable projects, firms operating highly profitable projects offer short-term contracts to ensure the service of high-ability workers and those with less lucrative projects also use short-term contracts to save on the junior workers' wage. Intermediate firms may (or may not) hire workers through long-term contracts.

Organitzem-nos : qui fa què?

L’organització educativa en una escola de música és un aspecte de l’àmbit de coneixement pedagògic que té el seu propi engranatge i un funcionament particular. Mitjançant l’estudi comparatiu entre les escoles municipals de música de Mataró, Olesa de Montserrat i “El Faristol” de Roda de Ter i Santa Maria del Corcó-L’Esquirol, aquest projecte vol donar una visió general de l’organització dels centres de règim especial d’àmbit musical, tot establint les bases teòriques per poder comprendre l’organització educativa de les escoles de música i analitzant tres grans àrees de gestió: el model educatiu, els recursos i el sistema relacional.

Intel·ligència artificial aplicada a un joc beat'em up en 2D

Creació d'un joc del tipus Arcade beat'em up en 2D utilitzant escenaris amb una certa profunditat de moviment i dotant als personatges no jugadors i altres objectes d'Intel·ligència Artificial de manera que el seu comportament no sigui sempre lineal i aprofitant-ho per afegir nivells de dificultat.

OpenSpires : Opening up Oxford like never before

Oxford University learning technologies group offer a model for effective practice in creating and using OER in research-led teaching environments where academic practice includes dissemination of research which aids/supplements teaching but is not primarily designed as a teaching resource. The University is perceived by many people to be an exclusive institution. It is certainly unique and complex, with characteristics and traditions established over 900 years. An Oxford education offers an exciting combination of privilege and open-mindedness. The role and sustainability of open education technologies in this environment is subtle. Any strategy to effectively encourage the uptake of OERs must be informed by original thinking and reflection about the culture of the organisation. The OpenSpires project was a successful initiative to establish a sustainable set of policies and workflows that would allow departments from across the University of Oxford to regularly publish high quality open content material for global reuse.

What do academic libraries have to do with Open Educational Resources? Theme : Long term sustainability of open education projects first steps to start up

This paper will discuss the possible roles of academic libraries in promoting, supporting, and sustaining institutional Open Educational Resource initiatives. It will note areas in which libraries or librarians have skills and knowledge that intersect with some of the needs of academic staff and students as they use and release OERs. It will also present the results of a brief survey of the views of some OER initiatives on the current and potential role of academic libraries.

Action Research : the first steps to start up a pilot experiment in heritage education

Peer-reviewed

Real-Time implementation of a blind authentication method using self-synchronous speech watermarking

A blind speech watermarking scheme that meets hard real-time deadlines is presented and implemented. In addition, one of the key issues in these block-oriented watermarking techniques is to preserve the synchronization. Namely, to recover the exact position of each block in the mark extract process. In fact, the presented scheme can be split up into two distinguished parts, the synchronization and the information mark methods. The former is embedded into the time domain and it is fast enough to be run meeting real-time requirements. The latter contains the authentication information and it is embedded into the wavelet domain. The synchronization and information mark techniques are both tunable in order to allow a con gurable method. Thus, capacity, transparency and robustness can be con gured depending on the needs. It makes the scheme useful for professional applications, such telephony authentication or even sending information throw radio applications.

Framing the Europeanization footprint: a follow-up of the EU renewable electricity directive and its impact in Spai

És àmpliament conegut que l'europeïtzació ha guanyat molt terreny en els estudis europeus. Des de finals de la dècada de 1990, ha gaudit d'una important expansió per tal d'avaluar l'eficàcia de les polítiques a escala europea en l'àmbit intern. En aquest procés la política energètica ha jugat un paper molt paradoxal, sent persistentment exclosos de l'agenda de recerca de la europeïtzació, encara que la seva creixent importància en l'elaboració de polítiques comunitàries. No obstant això, la realitat és que, tot i haver estat reconegut recentment com una àrea de la UE amb l'aplicació del Tractat de Lisboa, també ha estat influenciat, directament o indirectament, pels efectes de l'europeïtzació. Com a resultat d'això, la política energètica ha estat considerat com un "cas especial" de l'europeïtzació, portant fins al moment per a la construcció d'un sector caracteritzat la política energètica europea. En aquest context, el present treball pretén explicar l'europeïtzació de les polítiques energètiques nacionals en l'elaboració de l'actuació de la UE per mitjà de la seva competència ambiental. Més explícitament, aquesta investigació tracta de la naturalesa de la reglamentació comunitària en matèria d'energia renovable com un mecanisme d'europeïtzació amb especial èmfasi en el seu impacte a Espanya. Aquest treball sosté que (1) la lluita europea contra el canvi climàtic s'ha obert un camí per a la participació de la UE en matèria de política energètica, i que (2) encara que limitat aquest procés està produint alguns canvis en les polítiques energètiques nacionals. Universitat

La Gestió policial als esdeveniments públics en espais urbans a l'Àfrica: situació actual i perspectives = Policing public events in urban spaces in Africa : an analysis of the current situation and a perspective on follow-up action

L’informe que es presenta en aquest llibre és el resultat d’un nou acord de col·laboració entre el Programa de les Nacions Unides per als Assentaments Humans (ONU-Habitat) i l’Institut de Seguretat Pública de Catalunya, impulsat amb l’objectiu de millorar la seguretat en esdeveniments públics en els espais urbans a l’Àfrica. La fase pilot es va dur a terme el 2010, durant els dos seminaris de formació realitzats a Mollet del Vallès (Barcelona) com a part de la Plataforma Policia per al Desenvolupament Urbà (PPUD). En aquest informe es descriuen els orígens i l’estat de la iniciativa i resumeix els resultats. També s’inclouen algunes recomanacions per a millorar la seguretat d’esdeveniments públics. Font d'informació: http://www.onuhabitat.org.

The Cornella Health Interview Survey Follow-Up (CHIS.FU) Study: design, methods, and response rate

Background: The aim of this report is to describe the main characteristics of the design, including response rates, of the Cornella Health Interview Survey Follow-up Study. Methods: The original cohort consisted of 2,500 subjects (1,263 women and 1,237 men) interviewed as part of the 1994 Cornella Health Interview Study. A record linkage to update the address and vital status of the cohort members was carried out using, first a deterministic method, and secondly a probabilistic one, based on each subject's first name and surnames. Subsequently, we attempted to locate the cohort members to conduct the phone follow-up interviews. A pilot study was carried out to test the overall feasibility and to modify some procedures before the field work began. Results: After record linkage, 2,468 (98.7%) subjects were successfully traced. Of these, 91 (3.6%) were deceased, 259 (10.3%) had moved to other towns, and 50 (2.0%) had neither renewed their last municipal census documents nor declared having moved. After using different strategies to track and to retain cohort members, we traced 92% of the CHIS participants. From them, 1,605 subjects answered the follow-up questionnaire. Conclusion: The computerized record linkage maximized the success of the follow-up that was carried out 7 years after the baseline interview. The pilot study was useful to increase the efficiency in tracing and interviewing the respondents.

The Three Horsemen of Growth: Plague, War and Urbanization in Early Modern Europe

How did Europe overtake China? We construct a simple Malthusian model with two sectors, and use it to explain how European per capita incomes and urbanization rates could surge ahead of Chinese ones. That living standards could exceed subsistence levels at all in a Malthusian setting should be surprising. Rising fertility and falling mortality ought to have reversed any gains. We show that productivity growth in Europe can only explain a small fraction of rising living standards. Population dynamics - changes of the birth and death schedules - were far more important drivers of the longrun Malthusian equilibrium. The Black Death raised wages substantially, creating important knock-on effects. Because of Engel's Law, demand for urban products increased, raising urban wages and attracting migrants from rural areas. European cities were unhealthy, especially compared to Far Eastern ones. Urbanization pushed up aggregate death rates. This effect was reinforced by more frequent wars (fed by city wealth) and disease spread by trade. Thus, higher wages themselves reduced population pressure. Without technological change, our model can account for the sharp rise in European urbanization as well as permanently higher per capita incomes. We complement our calibration exercise with a detailed analysis of intra-European growth in the early modern period. Using a panel of European states in the period 1300-1700, we show that war frequency can explain a good share of the divergent fortunes within Europe.