Privileged Regions in Critical Strips of Non-lattice Dirichlet Polynomials

This paper shows, by means of Kronecker’s theorem, the existence of infinitely many privileged regions called r -rectangles (rectangles with two semicircles of small radius r ) in the critical strip of each function Ln(z):= 1−∑nk=2kz , n≥2 , containing exactly [Tlogn2π]+1 zeros of Ln(z) , where T is the height of the r -rectangle and [⋅] represents the integer part.

On the Complex Dimensions of Nonlattice Fractal Strings in Connection with Dirichlet Polynomials

In this paper we give a new characterization of the closure of the set of the real parts of the zeros of a particular class of Dirichlet polynomials that is associated with the set of dimensions of fractality of certain fractal strings. We show, for some representative cases of nonlattice Dirichlet polynomials, that the real parts of their zeros are dense in their associated critical intervals, confirming the conjecture and the numerical experiments made by M. Lapidus and M. van Frankenhuysen in several papers.

Series de Dirichlet

Las series de potencias constituyeron una herramienta esencial manejada por Weierstrass en el siglo XIX dentro de su programa de aritmetización del Análisis Matemático. Más tarde, a principios del siglo XX, en conexión con la función zeta de Riemann se inició un estudio intensivo de las series de Dirichlet, que constituyen el objeto fundamental de este trabajo fin de grado. En lo que a la estructura del trabajo se refiere, se empieza con una breve presentación histórica y posteriormente se procede a ilustrar el concepto de serie de Dirichlet, introduciendo sus propiedades inmediatas, como bien pueden ser la convergencia y la analiticidad de la forma más general posible, para luego centrarnos en el caso de las series de Dirichlet clásicas u ordinarias, haciendo un inciso en su estructura algebraica existente y en los productos de Euler. Finalmente y como no podía ser de otra forma, cerramos este estudio con una introducción a las características de la ya mencionada función zeta de Riemann y la archiconocida hipótesis de Riemann. Se adjuntan además tres anexos con los resultados necesarios para la correcta evolución del trabajo.

Reemigrar en España: una aproximación a sus determinantes

En este trabajo se investiga sobre las razones que inducen a los migrantes a realizar migraciones múltiples. Tras el análisis descriptivo de las características de estos inmigrantes, se especifica un logit binomial y un probit multinomial en los que la probabilidad de volver a emigrar depende de las características personales y de las cadenas migratorias de orígenes y destinos. La información utilizada procede de los microdatos de la Estadística de Variaciones Residenciales. Los resultados indican que las migraciones repetidas de españoles y extranjeros responden a motivos diferentes. El análisis sugiere que las reemigraciones de los extranjeros obedecerían a los resultados de sus experiencias laborales, mientras que en las de los españoles parecen hallarse otros motivos adicionales.

Stochastic choice analysis of tourism destinations

The analysis of tourist destination choice, defined by intra-country administrative units and by product types “coastal/inland and village/city”, permits the characterisation of tourist flow behaviour, which is fundamental for public planning and business management. In this study, we analyse the determinant factors of tourist destination choice, proposing various research hypotheses relative to the impact of destination attributes and the personal characteristics of tourists. The methodology applied estimates Nested and Random Coefficients Multinomial Logit Models, which allow control over possible correlations among different destinations. The empirical application is realised in Spain on a sample of 3,781 individuals and allows us to conclude that prices, distance to the destination and personal motivations are determinants in destination choice.

The negative effects of failed service recoveries

Research has shown that more than half of attempted recovery efforts fail, producing a ‘double deviation’ effect. Surprisingly, these double deviation effects have received little attention in marketing literature. This paper examines what happens after these critical encounters, which behavior or set of behaviors the customers are prone to follow and how customers’ perceptions of the firm’s recovery efforts influence these behaviors. For the analysis of choice of the type of response (complaining, exit, complaining and exit, and no-switching), we estimate multinomial Logit models with random coefficients (RCL). The results of our study show that magnitude of service failure, explanations, apologies, perceived justice, angry and frustration felt by the customer, and satisfaction with service recovery have a significant effect on customers’ choice of the type of response. Implications from the findings are offered.

Testing reference dependence, loss aversion and diminishing sensitivity in Spanish tourism

Based on Tversky and Kahneman’s Prospect Theory, we test the existence of reference dependence, loss aversion and diminishing sensitivity in Spanish tourism. To do this, we incorporate the reference-dependent model into a Multinomial Logit Model with Random Parameters -which controls for heterogeneity- and apply it to a sample of vacation choices made by Spaniards. We find that the difference between reference price and actual price is considered to make decisions, confirming that reference dependence exists; that people react more strongly to price increases than to price decreases relative to their reference price, which represents evidence in favor of the loss aversion phenomenon; and that there is diminishing sensitivity for losses only, showing convexity for these negative values.

On the existence of fractal strings whose set of dimensions of fractality is not perfect

In this paper we give an example of a nonlattice self-similar fractal string such that the set of real parts of their complex dimensions has an isolated point. This proves that, in general, the set of dimensions of fractality of a fractal string is not a perfect set.

Direct versus indirect channels: Differentiated loss aversion in a high‐involvement, non‐frequently purchased hedonic product

Purpose – This article aims to investigate whether intermediaries reduce loss aversion in the context of a high-involvement non-frequently purchased hedonic product (tourism packages). Design/methodology/approach – The study incorporates the reference-dependent model into a multinomial logit model with random parameters, which controls for heterogeneity and allows representation of different correlation patterns between non-independent alternatives. Findings – Differentiated loss aversion is found: consumers buying high-involvement non-frequently purchased hedonic products are less loss averse when using an intermediary than when dealing with each provider separately and booking their services independently. This result can be taken as identifying consumer-based added value provided by the intermediaries. Practical implications – Knowing the effect of an increase in their prices is crucial for tourism collective brands (e.g. “sun and sea”, “inland”, “green destinations”, “World Heritage destinations”). This is especially applicable nowadays on account of the fact that many destinations have lowered prices to attract tourists (although, in the future, they will have to put prices back up to their normal levels). The negative effect of raising prices can be absorbed more easily via indirect channels when compared to individual providers, as the influence of loss aversion is lower for the former than the latter. The key implication is that intermediaries can – and should – add value in competition with direct e-tailing. Originality/value – Research on loss aversion in retailing has been prolific, exclusively focused on low-involvement and frequently purchased products without distinguishing the direct or indirect character of the distribution channel. However, less is known about other types of products such as high-involvement non-frequently purchased hedonic products. This article focuses on the latter and analyzes different patterns of loss aversion in direct and indirect channels.

Distortion of self-image: risk factor for obesity in children and teenagers

Introduction: Self-image is important in the behaviour and lifestyle of children and adolescents. Analysing the self-image they have and the factors that might influence their distortion, can be used to prevent problems of obesity and anorexia. The main objective of present publication was to analyse the risk factors that may contribute to self-image distortion. Material and Methods: A descriptive survey study was conducted among 659 children and adolescents in two social classes (low and medium-high), measuring height and weight, calculating BMI percentile for age and gender. Body image and self-perception were registered. Results: The percentage of overweight-obesity is higher in scholars (41.8% boys, 28.7% girls) than in adolescents (30.1% and 22.2% respectively), with no difference between socioeconomic classes. The multinomial logistic regression analysis gives a risk of believing thinner higher (p=0.000) among boys OR=2.9(95%CI:1.43-3.37), school (p=0.000) OR=2.42(95%CI:1.56-3.76) and much lower (p=0.000) between normally nourished OR=0.08(95%CI:0.05-0.13), with no differences according to socioeconomic status. The risk of believing fatter is lower (p=0.000) between boys OR=0.28(95%CI:0.14-0.57), school(p=0.072) OR=0.54(95%CI:0.27-1.6), and much higher among underweight (p=0.000) OR=9x108(95% CI:4x108-19x108). Conclusions: Are risk factors of believing thinner: males, being in a group of schoolchildren and overweight-obesity. Conversely, are risk factors of believing fatter: females, teen and above all, be thin.

Indicators of success in the dietary management of overweight and obesity: weight, body fat loss and quality

Concepts: %WL: Percentage of weight loss; %FL: Percentage of fat loss. Objective: evaluate which unit of measurement for weight loss could determine the success or failure of dietary treatment for overweight and obesity. Method: 4,625 consultations carried out on 616 patients in the southeast of Spain from 2006 to 2012. All of the patients were over 25 years of age and suffered from overweight or obesity. The consultations were carried out every fortnight, using the Mediterranean or low-calorie diet. The patients were divided into four groups according to their %WL and %FL. Results: most of the sample consisted of: women; participants between 25-45 years of age; attended consultations for over a month and a half; obese. 80% of the patients obtained a %FL ≥ 5% (15.5 ± 12.8). The groups with a higher %FL obtained significant differences in weight loss (22.6 vs 11.2%, p = 0.000). The multinomial analysis shows significant differences between the groups with the highest %FL and the lowest %WL and %FL: sex (p = 0.006 vs p = 0.005), BMI (p = 0.010 vs p = 0.003) and attendance (p = 0.000 vs p = 0.000). Conclusion: the patients who lost < 5% of fat had higher initial parameters (percentage of weight and fat); most of the sample lost ≥ 5% of fat. This means that the method of personalised dietary treatment results in a high fat loss; fat is an indicator of the quality loss obtained. Recommendations: use the measurement of fat as a complementary unit of measurement to weight loss; establish a limit of 5% to evaluate such loss; and increase this type of research in any method of weight loss.

Factores predictores de pérdida de peso y grasa en el tratamiento dietético: sexo, edad, índice de masa corporal y consulta de asistencia

%WL: porcentaje de pérdida de peso; %FL: porcentaje de pérdida de grasa; PNLWF: pacientes que pierden peso o grasa; PLWF: pacientes que pierden peso y grasa. Objetivo: evaluar si el %WL y el %FL en el tratamiento dietético, se vieron afectados por el género, la edad, el IMC y la asistencia a la consulta. Método: 4.700 consultas, 670 pacientes (IMC ≥ 25), en el sur-este de España (2006-12). Se utilizó la dieta equilibrada e hipocalórica. Dos tipos de pacientes: PNLWF y PLWF (91,9%). Resultados: en los PLWF, los hombres y los que asisten en mayor número de ocasiones a la consulta han mostrado una mayor pérdida, frente a las mujeres (%FL: 23,0 vs 14,3%, p = 0,000; %WL: 7,7 vs 6,6%, p = 0,020), y los que asisten con menor frecuencia (%FL: 19,1 vs 7,3%, p = 0,000; %WL: 7,8 vs 2,9%, p = 0,000). El análisis de regresión multinomial (PNLWF/ PLWF) indica que solo el asistir a más de mes y medio a la consulta es un factor que influye en la pérdida, OR 8,3 (IC 95% 4,5-15,1; p = 0,000). Conclusión: la medición de la grasa corporal proporciona una información adicional al peso perdido; la mayoría de los pacientes que asisten más de mes y medio obtienen un elevado %FL; la asistencia es un factor predictor de la pérdida; el %FL indica que el tratamiento dietético juega un papel principal en la resolución de esta patología; se recomienda diseñar esquemas prácticos del proceso de actuación de los nutricionistas en función del IMCi y el variable.

On a conjecture of Lapidus and van Frankenhuysen

In this paper it is shown that a conjecture of Lapidus and van Frankenhuysen of 2003 on the existence of a vertical line such that the density of the complex dimensions of nonlattice fractal strings with M scaling ratios off this line vanishes in the limit as M→∞, fails on the class of nonlattice self-similar fractal strings.

Detecting Free Riders in Collective Brands through a Hierarchical Choice Process

Free-riding behaviors exist in tourism and they should be analyzed from a comprehensive perspective; while the literature has mainly focused on free riders operating in a destination, the destinations themselves might also free ride when they are under the umbrella of a collective brand. The objective of this article is to detect potential free-riding destinations by estimating the contribution of the different individual destinations to their collective brands, from the point of view of consumer perception. We argue that these individual contributions can be better understood by reflecting the various stages that tourists follow to reach their final decision. A hierarchical choice process is proposed in which the following choices are nested (not independent): “whether to buy,” “what collective brand to buy,” and “what individual brand to buy.” A Mixed Logit model confirms this sequence, which permits estimation of individual contributions and detection of free riders.