Contractive metrics for a Boltzmann equation for granular gases: diffusive equilibriaThe Patterson-Sullivan embedding and minimal volume entropy for outer space

We quantify the long-time behavior of a system of (partially) inelastic particles in a stochastic thermostat by means of the contractivity of a suitable metric in the set of probability measures. Existence, uniqueness, boundedness of moments and regularity of a steady state are derived from this basic property. The solutions of the kinetic model are proved to converge exponentially as t→ ∞ to this diffusive equilibrium in this distance metrizing the weak convergence of measures. Then, we prove a uniform bound in time on Sobolev norms of the solution, provided the initial data has a finite norm in the corresponding Sobolev space. These results are then combined, using interpolation inequalities, to obtain exponential convergence to the diffusive equilibrium in the strong L¹-norm, as well as various Sobolev norms.

Metrics on diagram groups and uniform embeddings in a Hilbert space

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

Contractive probability metrics and asymptotic behavior of dissipative kinetic equations

The present notes are intended to present a detailed review of the existing results in dissipative kinetic theory which make use of the contraction properties of two main families of probability metrics: optimal mass transport and Fourier-based metrics. The first part of the notes is devoted to a self-consistent summary and presentation of the properties of both probability metrics, including new aspects on the relationships between them and other metrics of wide use in probability theory. These results are of independent interest with potential use in other contexts in Partial Differential Equations and Probability Theory. The second part of the notes makes a different presentation of the asymptotic behavior of Inelastic Maxwell Models than the one presented in the literature and it shows a new example of application: particle's bath heating. We show how starting from the contraction properties in probability metrics, one can deduce the existence, uniqueness and asymptotic stability in classical spaces. A global strategy with this aim is set up and applied in two dissipative models.

The Benefits of building barrier-free: a contingent valuation of accessibilty as an attribute of housing

Estimating the social benefits of barrier-free building has always required indirect solutions, such as calculating the savings in social services, hospitalisation or adaptations made possible by the increase in accessibility. This research uses the Contingent Valuation Method to gain a direct appraisal of the benefits from barrier-free housing. When comparing two similar dwellings, with the only difference being their accessibility conditions, the 1,007 randomly chosen households that answered the direct survey would pay, on average 12.5 per cent more for being barrier-free. None of the different appraisals made on accessibility costs reaches 5 per cent. This confirms the social profitability of building without barriers and shows the potential size of the private market for those housing developers that meet the demand. Accessibility is a general concern, an economic good or attribute that most households value, irrespective of the physical conditions of their members.

Mobility and Housing Satisfaction: An Empirical Analysis for Twelve EU Countries

Using panel data for twelve EU countries, we analyze the relationship between selfreported housing satisfaction and residential mobility. Our results indicate the existence of a positive link between the two variables and that housing satisfaction exerts a mediating effect between residential characteristics and dwellers' mobility propensities. Some interesting cross-country differences regarding the effect of other variables on mobility are also observed. Our results can be used in defining, implementing and evaluating housing and neighbourhood policies. Residential satisfaction is put forward as one of the most appropriate indicators of the success or failure of such policies. Keywords: Housing satisfaction, residential mobility JEL classification: R21, D19

Disentangling the Housing Satisfaction Puzzle: Does Homeownership Really Matter?

There is a general consensus that homeownership has beneficial effects for both individuals and society in many outcomes. However, research regarding the effect of homeownership on individuals' subjective well-being remains inconclusive. In this paper, for the first time, we provide empirical evidence for the link between homeownership and housing satisfaction using panel data. We use the eight waves of the European Community Household Panel (ECHP) covering the period 1994-2001. We observe that renters who become homeowners not only experience a significant increase in housing satisfaction, but also after changing their tenure status, they obtain a different utility from the same housing context. This evidence might provide support to the hypothesis that a share of the differences in the perceived utility derived from housing can be attributed to (un)fulfilled expectations or aspirations regarding homeownership. Keywords: Housing satisfaction, subjective well-being, homeownership, fixed-effects, housing aspirations JEL classification: D1, R2.

Fading models and metrics for contemporary wireless systems

The purpose of this paper is to examine (1) some of the models commonly used to represent fading,and (2) the information-theoretic metrics most commonly used to evaluate performance over those models. We raise the question of whether these models and metrics remain adequate in light of the advances that wireless systems haveundergone over the last two decades. Weaknesses are pointedout, and ideas on possible fixes are put forth.

Immigration and housing booms: Evidence from Spain

We estimate empirically the effect of immigration on house prices and residentialconstruction activity in Spain over the period 1998-2008. This decade is characterized by both aspectacular housing market boom and a stunning immigration wave. We exploit the variation inimmigration across Spanish provinces and construct an instrument based on the historicallocation patterns of immigrants by country of origin. The evidence points to a sizeable causaleffect of immigration on both prices and quantities in the housing market. Between 1998 and2008, the average Spanish province received an immigrant inflow equal to 17% of the initialworking-age population. We estimate that this inflow increased house prices by about 52% andis responsible for 37% of the total construction of new housing units during the period. Thesefigures imply that immigration can account for roughly one third of the housing boom, both interms of prices and new construction.

The housing boom and forest fires

This paper provides evidence that the combination of land-use restrictions and anincreasing demand for housing can create incentives to induce forest fires as a means tocircumvent regulation and increase the supply of land available for residential construction.I estimate the effect of the price of housing on the incidence of forest fires using Spanishdata by region for 1991-2005. The results suggest that higher house prices led to asignificant increase in the incidence of forest fires in a region. I also find that the increasedincidence of forest fires led to a subsequent reduction in forest area and an increase in urbanland area. This evidence supports the claims often found in the media that propertyspeculators trying to build in forest land may be behind the recent increases in the incidenceof forest fires in Mediterranean countries.

Newton-Hooke algebras, nonrelativistic branes, and generalized pp-wave metrics

The Newton-Hooke algebras in d dimensions are constructed as contractions of dS(AdS) algebras. Nonrelativistic brane actions are WZ terms of these Newton-Hooke algebras. The NH algebras appear also as subalgebras of multitemporal relativistic conformal algebras, SO(d+1,p+2). We construct generalizations of pp-wave metrics from these algebras.

A family of inhomogeneous cosmological Einstein - Rosen metrics

Some generalized soliton solutions of the cosmological EinsteinRosen type defined in the space-time region t2=z2 in terms of canonical coordinates are considered. Vacuum solutions are studied and interpreted as cosmological models. Fluid solutions are also considered and are seen to represent inhomogeneous cosmological models that become homogeneous at t?8. A subset of them evolve toward isotropic FriedmannRobertsonWalker metrics.

Immigration and housing: rethinking the role of fiscal policies to manage diversity

We study the two key social issues of immigration and housing in lightof each other and analyse which housing policies work best to distributediversity (racial, economic, cultural) equally across our cities and towns. Inparticular, we compare the impact of direct government expenditure andtax incentives on the housing conditions of immigrants in four Europeancountries: France, Germany, Spain and the United Kingdom. The analysisshows that the different policies which have been adopted in these countrieshave not succeeded in preventing immigrants from being concentratedin certain neighbourhoods. The reason is that housing benefits andtax incentives are normally “spatially blind”. In our opinion, governmentsshould consider immigration indirectly in their housing policies and, forinstance, distribute social housing more evenly across different areas topromote sustainable levels of diversity.

Housing Wealth and Housing Decisions in Old Age: Sale and Reversion

Population ageing brings new challenges to long-term household economic decisions. In the event of old-age dependency, housing assets become a key self-insurance device. However, little empirical evidence has been reported regarding an individual"s expectations of having to use their housing wealth for such a purpose. This paper draws upon two complementary data sources to empirically examine: (1) the influence of housing assets on an individual"s willingness-to-sell (WTS) their dwelling for care purposes, and (2) the willingness to take out a reverse mortgage contract loan in the event of old-age dependency. The paper"s findings suggest that homeowners" WTS in old age is unaffected by their income or housing assets and is, rather, determined by socio-environmental housing characteristics and the individual"s health and personal needs. Conversely, the study finds that the uptake of home reversion loans is largely dependent on income or education, but not on a household"s housing assets.

HouSI: Heuristic for delimitation of housing submarkets and price homogeneous areas

This paper seeks to address the problem of the empirical identification of housing market segmentation,once we assume that submarkets exist. The typical difficulty in identifying housing submarkets when dealing with many locations is the vast number of potential solutions and, in such cases, the use of the Chow test for hedonic functions is not a practical solution. Here, we solve this problem by undertaking an identification process with a heuristic for spatially constrained clustering, the"Housing Submarket Identifier" (HouSI). The solution is applied to the housing market in the city of Barcelona (Spain), where we estimate a hedonic model for fifty thousand dwellings aggregated into ten groups. In order to determine the utility of the procedure we seek to verify whether the final solution provided by the heuristic is comparable with the division of the city into ten administrative districts.

Banks, Lies and Bricks: The Determinants of Home Value Inflation in Spain during the Housing Boom

During the first decade of this century, Spain experienced the most important economic and housing boom in its recent history. This situation led the lending industry to dramatically expand through the mortgage market. The high competition among lenders caused a dramatic lowering of credit standards. During this period, lenders operating in the Spanish mortgage market artificially inflated appraised home values in order to draw larger mortgages. By doing this, lenders gave financially constrained households access to mortgage credit. In this paper, we analyze this phenomenon for this first time. To do so, we resort to a unique dataset of matched mortgage-dwelling-borrower characteristics covering the period 2004–2010. Our data allow us to construct an unbiased measure of property’s over-appraisal, since transaction prices in our data also includes any potential side payment in the transactions. Our findings indicate that i) in Spain, appraised home values were inflated on average by around 30% with respect to transaction prices; ii) creditconstrained households were more likely to be involved in mortgages with inflated house values; and iii) a regional indicator of competition in the lending market suggests that inflated appraisal values were also more likely to appear in more competitive regional mortgage markets. Keywords: Housing demand, appraisal values, house prices, housing bubble, credit constraints, mortgage market. JEL Classification: R21, R31