Effects of differential taxation on factor accumulation and growth

In this paper we try to analyze the role of fiscal policy in fostering a higher participation of the different production factors in the human capital production sector in the long-run. Introducing a tax on physical capital and differentiating both a tax on raw labor wage and a tax on skills or human capital we also attempt to present a way to influence inequality as measured by the skill premium, thus trying to relate the increase in human capital with the decrease in income inequality. We will do that in the context of a non-scale growth model.The model here is capable to alter the shares of private factors devoted to each of the two production sectors, final output and human capital, and affect inequality in a different way according to the different tax changes. The simulation results derived in the paper show how a human capital (skills) tax cut, which could be interpreted as a reduction in progressivity, ends up increasing both the shares of labor and physical capital devoted to the production of knowledge and decreasing inequality. Moreover, a raw labor wage tax decrease, which could also be interpreted as an increase in the progressivity of the system, increases the share of labor devoted to the production of final output and increases inequality. Finally, a physical capital tax decrease reduces the share of physical capital devoted to the production of knowledge and allows for a lower inequality value. Nevertheless, none of the various types of taxes ends up changing the share of human capital in the knowledge production, which will deserve our future attention

Time of ruin in a risk model with generalized Erlang (n) interclaim times and a constant dividend barrier

In this paper we analyze the time of ruin in a risk process with the interclaim times being Erlang(n) distributed and a constant dividend barrier. We obtain an integro-differential equation for the Laplace Transform of the time of ruin. Explicit solutions for the moments of the time of ruin are presented when the individual claim amounts have a distribution with rational Laplace transform. Finally, some numerical results and a compare son with the classical risk model, with interclaim times following an exponential distribution, are given.

Effects of differential taxation on factor accumulation and growth

In this paper we try to analyze the role of fiscal policy in fostering a higher participation of the different production factors in the human capital production sector in the long-run. Introducing a tax on physical capital and differentiating both a tax on raw labor wage and a tax on skills or human capital we also attempt to present a way to influence inequality as measured by the skill premium, thus trying to relate the increase in human capital with the decrease in income inequality. We will do that in the context of a non-scale growth model.The model here is capable to alter the shares of private factors devoted to each of the two production sectors, final output and human capital, and affect inequality in a different way according to the different tax changes. The simulation results derived in the paper show how a human capital (skills) tax cut, which could be interpreted as a reduction in progressivity, ends up increasing both the shares of labor and physical capital devoted to the production of knowledge and decreasing inequality. Moreover, a raw labor wage tax decrease, which could also be interpreted as an increase in the progressivity of the system, increases the share of labor devoted to the production of final output and increases inequality. Finally, a physical capital tax decrease reduces the share of physical capital devoted to the production of knowledge and allows for a lower inequality value. Nevertheless, none of the various types of taxes ends up changing the share of human capital in the knowledge production, which will deserve our future attention

A note on the coincidence between Stackelberg and Nash equilibria in a differential game between government and firms

[cat] A Navas i Marín Solano es va demostrar la coincidència entre els equilibris de Nash i de Stackelberg per a una versi´o modificada del joc diferencial proposat por Lancaster (1973). Amb l’objectiu d’obtenir una solució interior, es van imposar restriccions importants sobre el valors dels paràmetres del model. En aquest treball estenem aquest resultat, en el límit en que la taxa de descompte és igual a zero, eliminant les restriccions i considerant totes les solucions possibles.

Model of single-electron decay from a strongly isolated quantum dot

Recent measurements of electron escape from a nonequilibrium charged quantum dot are interpreted within a two-dimensional (2D) separable model. The confining potential is derived from 3D self-consistent Poisson-Thomas-Fermi calculations. It is found that the sequence of decay lifetimes provides a sensitive test of the confining potential and its dependence on electron occupation

Diffractive J/Psi photoproduction in a dual model

J/psi photoproduction is studied in the framework of the analytic S-matrix theory. The differential and integrated elastic cross sections for J/psi photoproduction are calculated from a dual amplitude with Mandelstam analyticity. It is argued that, at low energies, the background, which is the low-energy equivalent of the high-energy diffraction, replaces the Pomeron exchange. The onset of the high-energy Pomeron dominance is estimated from the fits to the data.

Exclusive J/Psi electroproduction in a dual model

Exclusive J/Psi electroproduction is studied in the framework of the analytic S-matrix theory. The differential and integrated elastic cross sections are calculated using the modified dual amplitude with Mandelstam analyticity model. The model is applied to the description of the available experimental data and proves to be valid in a wide region of the kinematical variables s, t, and Q(2). Our amplitude can be used also as a universal background parametrization for the extraction of tiny resonance signals.

Side-branch growth in two-dimensional dendrits. Part II: Phase-field model

The development of side-branching in solidifying dendrites in a regime of large values of the Peclet number is studied by means of a phase-field model. We have compared our numerical results with experiments of the preceding paper and we obtain good qualitative agreement. The growth rate of each side branch shows a power-law behavior from the early stages of its life. From their birth, branches which finally succeed in the competition process of side-branching development have a greater growth exponent than branches which are stopped. Coarsening of branches is entirely defined by their geometrical position relative to their dominant neighbors. The winner branches escape from the diffusive field of the main dendrite and become independent dendrites.

Slow dynamis in the 3D gonihedric model

We provide analytical evidence of stochastic resonance in polarization switching vertical-cavity surface-emitting lasers (VCSELs). We describe the VCSEL by a two-mode stochastic rate equation model and apply a multiple time-scale analysis. We were able to reduce the dynamical description to a single stochastic differential equation, which is the starting point of the analytical study of stochastic resonance. We confront our results with numerical simulations on the original rate equations, validating the use of a multiple time-scale analysis on stochastic equations as an analytical tool.

Optical-model potential for electron and positron elastic scattering by atoms

An optical-model potential for systematic calculations of elastic scattering of electrons and positrons by atoms and positive ions is proposed. The electrostatic interaction is determined from the Dirac-Hartree-Fock self-consistent atomic electron density. In the case of electron projectiles, the exchange interaction is described by means of the local-approximation of Furness and McCarthy. The correlation-polarization potential is obtained by combining the correlation potential derived from the local density approximation with a long-range polarization interaction, which is represented by means of a Buckingham potential with an empirical energy-dependent cutoff parameter. The absorption potential is obtained from the local-density approximation, using the Born-Ochkur approximation and the Lindhard dielectric function to describe the binary collisions with a free-electron gas. The strength of the absorption potential is adjusted by means of an empirical parameter, which has been determined by fitting available absolute elastic differential cross-section data for noble gases and mercury. The Dirac partial-wave analysis with this optical-model potential provides a realistic description of elastic scattering of electrons and positrons with energies in the range from ~100 eV up to ~5 keV. At higher energies, correlation-polarization and absorption corrections are small and the usual static-exchange approximation is sufficiently accurate for most practical purposes.

Differential phosphoproteomics of fragmenting yeast vacuoles

Many organelles exist in an equilibrium of fragmentation into smaller units and fusion into larger structures, which is coordinated with cell division, the increase in cell mass, and envi¬ronmental conditions. In yeast cells, organelle homeostasis can be studied using the yeast vacuole (lysosome) as a model system. Yeast vacuoles are the main compartment for degrada¬tion of cellular proteins and storage of nutrients, ions and metabolites. Fission and fusion of vacuoles can be induced by hyper- and hypotonic shock in vivo, respectively, and have also been reconstituted in vitro using isolated vacuoles. The conserved serine/threonine kinase TOR (target of rapamycin) is a central nutrient sensor and regulates cell growth and metabolism. In yeast, there are two TOR proteins, Torlp and Tor2p, which are part of larger protein complexes, TORCI and TORC2. Only TORCI is rapamycin-sensitive. Disregulation of TOR signaling is linked to a multitude of diseases in humans, e.g. cancer, neurodegenerative diseases and metabolic syndrome. It has been shown that TORCI localizes to the vacuole membrane, and recent findings of our laboratory demonstrated that TORCI positively regulates vacuole fragmentation. This suggests that the fragmentation machinery should contain target proteins phosphorylated by TORCI. I explored the rapamycin-and fission-dependent vacuolar phosphoproteome during frag¬mentation, using a label-free mass-spectrometry approach. I identified many vacuolar factors whose phosphorylation was downregulated in a TORCI- and fission-dependent manner. Among them were known protein complexes that are functionally linked to fission or fusion, like the HOPS, VTC and FAB1 complexes. Hence, TORCI-dependent phosphorylations might positively regulate vacuole fission. Several candidates were chosen for detailed microscopic analysis of in vivo vacuole frag-mentation, using deletion mutants. I was able to identify novel factors not previously linked to fission phenotypes, e.g. the SEA complex, Pib2, and several vacuolar amino acid transporters. Transport of neutral and basic amino acids across the membrane seems to control vacuole fission, possibly via TORCI. I analyzed vacuolar fluxes of amino acids in wildtype yeast cells and found evidence for a selective vacuolar export of basic amino acids upon hyperosmotic stress. This leads me to propose a model where vacuolar export of amino acids is necessary to reshape the organelle under salt stress. - Le nombre et la taille de certaines organelles peut être déterminé par un équilibre entre la fragmentation qui produit des unités plus petites et la fusion qui génère des structures plus larges. Cet équilibre est coordonné avec la division cellulaire, l'augmentation de la masse cellulaire, et les conditions environnementales. Dans des cellules de levure, l'homéostasie des organelles peut être étudié à l'aide d'un système modèle, la vacuole de levure (lysosome). Les vacuoles constituent le principal compartiment de la dégradation des protéines et de stockage des nutriments, des ions et des métabolites. La fragmentation et la fusion des vacuoles peuvent être respectivement induites par un traitement hyper- ou hypo-tonique dans les cellules vivantes. Ces processus ont également été reconstitués in vitro en utilisant des vacuoles isolées. La sérine/thréonine kinase conservée TOR (target of rapamycin/cible de la rapamycine) est un senseur de nutriments majeur qui régule la croissance cellulaire et le métabolisme. Chez la levure, il existe deux protéines TOR, Torlp et Tor2p, qui sont les constituants de plus grands complexes de protéines, TORCI et TORC2. TORCI est spécifiquement inhibé par la rapamycine. Une dysrégulation de la signalisation de TOR est liée à une multitude de maladies chez l'homme comme le cancer, les maladies neurodégénératives et le syndrome métabolique. Il a été montré que TORCI se localise à la membrane vacuolaire et les découvertes récentes de notre laboratoire ont montré que TORCI régule positivement la fragmentation de la vacuole. Ceci suggère que le mécanisme de fragmentation doit être contrôlé par la phosphorylation de certaines protéines cibles de TORCI. J'ai exploré le phosphoprotéome vacuolaire lors de la fragmentation, en présence ou absence de rapamycine et dans des conditions provoquant la fragmentation des organelles. La méthode choisie pour réaliser la première partie de ce projet a été la spectrométrie de masse différentielle sans marquage. J'ai ainsi identifié plusieurs facteurs vacuolaires dont la phosphorylation est régulée d'une manière dépendante de TORCI et de la fragmentation. Parmi ces facteurs, des complexes protéiques connus qui sont fonctionnellement liées à fragmentation ou la fusion, comme les complexes HOPS, VTC et FAB1 ont été mis en évidence. Par conséquent, la phosphorylation dépendante de TORCI peut réguler positivement la fragmentation des vacuoles. Plusieurs candidats ont été choisis pour une analyse microscopique détaillée de la fragmentation vacuolaire in vivo en utilisant des mutants de délétion. J'ai été en mesure d'identifier de nouveaux facteurs qui n'avaient pas été encore associés à des phénotypes de fragmentation tels que les complexes SEA, Pib2p, ainsi que plusieurs transporteurs vacuolaires d'acides aminés. Le transport des acides aminés à travers la membrane semble contrôler la fragmentation de la vacuole. Puisque ces transporteurs sont phosphorylés par TORCI, ces résultats semblent confirmer la

Symmetries and fixed point stability of stochastic differential equations modeling self-organized criticality

A stochastic nonlinear partial differential equation is constructed for two different models exhibiting self-organized criticality: the Bak-Tang-Wiesenfeld (BTW) sandpile model [Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988)] and the Zhang model [Phys. Rev. Lett. 63, 470 (1989)]. The dynamic renormalization group (DRG) enables one to compute the critical exponents. However, the nontrivial stable fixed point of the DRG transformation is unreachable for the original parameters of the models. We introduce an alternative regularization of the step function involved in the threshold condition, which breaks the symmetry of the BTW model. Although the symmetry properties of the two models are different, it is shown that they both belong to the same universality class. In this case the DRG procedure leads to a symmetric behavior for both models, restoring the broken symmetry, and makes accessible the nontrivial fixed point. This technique could also be applied to other problems with threshold dynamics.

Time of ruin in a risk model with generalized Erlang (n) interclaim times and a constant dividend barrier

In this paper we analyze the time of ruin in a risk process with the interclaim times being Erlang(n) distributed and a constant dividend barrier. We obtain an integro-differential equation for the Laplace Transform of the time of ruin. Explicit solutions for the moments of the time of ruin are presented when the individual claim amounts have a distribution with rational Laplace transform. Finally, some numerical results and a compare son with the classical risk model, with interclaim times following an exponential distribution, are given.

A note on the coincidence between Stackelberg and Nash equilibria in a differential game between government and firms

[cat] A Navas i Marín Solano es va demostrar la coincidència entre els equilibris de Nash i de Stackelberg per a una versi´o modificada del joc diferencial proposat por Lancaster (1973). Amb l’objectiu d’obtenir una solució interior, es van imposar restriccions importants sobre el valors dels paràmetres del model. En aquest treball estenem aquest resultat, en el límit en que la taxa de descompte és igual a zero, eliminant les restriccions i considerant totes les solucions possibles.

Nonempirical cluster-model study of the chemisorption of atomic hydrogen on the (111) surface of diamondlike crystals

The interaction of atomic hydrogen with C4H9, Si4H9, and Ge4H9 model clusters has been studied using all-electron and pseudopotential ab initio Hartree-Fock computations with basis sets of increasing flexibility. The results show that the effect of polarization functions is important in order to reproduce the experimental findings, but their inclusion only for the atoms directly involved in the chemisorption bond is usually sufficient. For the systems H-C4H9 and H-Si4H9 all-electron and pseudopotential results are in excellent agreement when basis sets of comparable quality are used. Besides, semiempirical modified-neglect-of-differential-overlap computations provide quite reliable results both for diamond and silicon and have been used to investigate larger model clusters. The results confirm the local nature of chemisorption and further justify the use of minimal X4H9 model clusters.