Exit times in non-Markovian drifting continuous-time random-walk processes

By appealing to renewal theory we determine the equations that the mean exit time of a continuous-time random walk with drift satisfies both when the present coincides with a jump instant or when it does not. Particular attention is paid to the corrections ensuing from the non-Markovian nature of the process. We show that when drift and jumps have the same sign the relevant integral equations can be solved in closed form. The case when holding times have the classical Erlang distribution is considered in detail.

Monotonic continuous-time random walks with drift and stochastic reset events

In this paper we consider a stochastic process that may experience random reset events which suddenly bring the system to the starting value and analyze the relevant statistical magnitudes. We focus our attention on monotonic continuous-time random walks with a constant drift: The process increases between the reset events, either by the effect of the random jumps, or by the action of the deterministic drift. As a result of all these combined factors interesting properties emerge, like the existence (for any drift strength) of a stationary transition probability density function, or the faculty of the model to reproduce power-law-like behavior. General formulas for two extreme statistics, the survival probability, and the mean exit time, are also derived. To corroborate in an independent way the results of the paper, Monte Carlo methods were used. These numerical estimations are in full agreement with the analytical predictions.

When Langmuir is too simple: H2 dissociation on Pd(111) at high coverage

Recent experiments of H2 adsorption on Pd(111) [T. Mitsui et al., Nature (London) 422, 705 (2003)] have questioned the classical Langmuir picture of second order adsorption kinetics at high surface coverage requiring pairs of empty sites for the dissociative chemisorption. Experiments find that at least three empty sites are needed. Through density functional theory, we find that H2 dissociation is favored on ensembles of sites that involve a Pd atom with no direct interaction with adsorbed hydrogen. Such active sites are formed by aggregation of at least 3 H-free sites revealing the complex structure of the "active sites."

A survey on coverage path planning for robotics

Coverage Path Planning (CPP) is the task of determining a path that passes over all points of an area or volume of interest while avoiding obstacles. This task is integral to many robotic applications, such as vacuum cleaning robots, painter robots, autonomous underwater vehicles creating image mosaics, demining robots, lawn mowers, automated harvesters, window cleaners and inspection of complex structures, just to name a few. A considerable body of research has addressed the CPP problem. However, no updated surveys on CPP reflecting recent advances in the field have been presented in the past ten years. In this paper, we present a review of the most successful CPP methods, focusing on the achievements made in the past decade. Furthermore, we discuss reported field applications of the described CPP methods. This work aims to become a starting point for researchers who are initiating their endeavors in CPP. Likewise, this work aims to present a comprehensive review of the recent breakthroughs in the field, providing links to the most interesting and successful works

Nonlinear principal and canonical directions from continuous extensions of multidimensional scaling

A continuous random variable is expanded as a sum of a sequence of uncorrelated random variables. These variables are principal dimensions in continuous scaling on a distance function, as an extension of classic scaling on a distance matrix. For a particular distance, these dimensions are principal components. Then some properties are studied and an inequality is obtained. Diagonal expansions are considered from the same continuous scaling point of view, by means of the chi-square distance. The geometric dimension of a bivariate distribution is defined and illustrated with copulas. It is shown that the dimension can have the power of continuum.

Fronts with continuous waiting-time distributions: Theory and application to virus infections

We generalize to arbitrary waiting-time distributions some results which were previously derived for discrete distributions. We show that for any two waiting-time distributions with the same mean delay time, that with higher dispersion will lead to a faster front. Experimental data on the speed of virus infections in a plaque are correctly explained by the theoretical predictions using a Gaussian delay-time distribution, which is more realistic for this system than the Dirac delta distribution considered previously [J. Fort and V. Méndez, Phys. Rev. Lett.89, 178101 (2002)]

Calculation of radio electrical coverage in Medium-Wave Frequencies

The aim of this project is to accomplish an application software based on Matlab to calculate the radioelectrical coverage by surface wave of broadcast radiostations in the band of Medium Wave (WM) all around the world. Also, given the location of a transmitting and a receiving station, the software should be able to calculate the electric field that the receiver should receive at that specific site. In case of several transmitters, the program should search for the existence of Inter-Symbol Interference, and calculate the field strenght accordingly. The application should ask for the configuration parameters of the transmitter radiostation within a Graphical User Interface (GUI), and bring back the resulting coverage above a map of the area under study. For the development of this project, it has been used several conductivity databases of different countries, and a high-resolution elevation database (GLOBE). Also, to calculate the field strenght due to groundwave propagation, it has been used ITU GRWAVE program, which must be integrated into a Matlab interface to be used by the application developed.

Construcció d'un refugi situat al terme municipal de Vallfogona de Ripollès, pensat com a final d'etapa per a rutes a cavall

Els negocis relacionats amb les activitats de lleure i els esports d’aventura actualment es troben en expansió, buscant majoritàriament el contacte amb la natura. Les rutes a cavall formen part del gran ventall d’opcions, per aquesta qüestió s’ha pensat en construir un refugi utilitzat com a final d’etapa per a rutes a cavall. En la major part del territori, la presència de població humana es manifesta en pobles, viles i ciutats, les quals disposes d’aigua sanitària, corrent elèctric i sistema de clavegueram. Per altra banda en les urbanitzacions o cases aïllades poder gaudir d’aquests serveis suposa una inversió econòmica elevada, que implica la utilització de sistemes alternatius. En el present projecte s’ha triat un emplaçament on portar a terme el final d’etapa amb una sèrie de requisits a complir : bosc a les proximitats, disposar d’un o varis accessos per a vehicles (transport del material d’intendència), tranquil•litat, bones vistes, i cobertura de telèfon mòbil. S’han acceptat les següents limitacions : no disposar de xarxa pública d’electricitat ni d’aigua. I s’han dimensionat les instal•lacions per a un màxim de dotze persones i els seus respectius cavalls. El principal objectiu del projecte és el dimensionament de les necessitats elèctriques, d’aigua i d’aiguacalenta sanitària en condicions autònomes, i utilitzant energies renovables. La valoració de les possibles solucions per condicionar les instal•lacions, i oferir una resposta eficient per la demanda. No és un objectiu específic del treball la potabilització de l’aigua ni el tractament dels residus produïts. S’han aprofitat els diferents desnivells que presenta l’emplaçament triat a l’hora de distribuir les instal•lacions, i s’ha utilitzat un antic cobert de dos pisos ja existent. Com a residència s’ha triat un model de casa prefabricada de muntanya. Com a sistema de subministrament elèctric, s’instal•laran plaques solars fotovoltaiques i un generador de corrent com a sistema auxiliar. La captació d’aigua s’efectuarà a partir d’un pou que es troba en el terreny i de la recollida d el’aigua pluvial, instal•lant dipòsits d’emmagatzemament d’aigua segons les necessitats. S’utilitzarà un equip de cloració per potabilitzar l’aigua de consum utilitzada a la residència. En la producció d’aigua calenta sanitària s’utilitzaran plaques solars tèrmiques i una caldera instantània de gas propà com a suport. Per cuinar s’ha triat una cuina de gas propà i una barbacoa que s’instal•larà a l’exterior. S’instal•larà una llar de foc amb recuperador d’aire a la residència i una fosa sèptica amb un sistema d’infiltració per poder abocar les aigües provinents de la residència. Els fems dels cavalls podran ser utilitzats com adob pel terreny.