On Lundh's percolation diffusion

A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from some point in the ball will avoid all the obstacles and reach the boundary of the ball. The centres of the spherical obstacles are generated according to a Poisson point process while the radius of an obstacle is a deterministic function. If avoidable configurations are generated with positive probability Lundh calls this percolation diffusion. An integral condition for percolation diffusion is derived in terms of the intensity of the point process and the function that determines the radii of the obstacles.

On Lundh's percolation diffusion

A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from some point in the ball will avoid all the obstacles and reach the boundary of the ball. The centres of the spherical obstacles are generated according to a Poisson point process while the radius of an obstacle is a deterministic function. If avoidable con gurations are generated with positive probability Lundh calls this percolation di usion. An integral condition for percolation di ffusion is derived in terms of the intensity of the point process and the function that determines the radii of the obstacles.

Estudio descriptivo y comparativo de juegos de palabras en Alice in wonderland y sus traducciones al español y chino

En este trabajo analizamos los juegos de palabras en Alice´s Adventures in Wonderland y sus cuatro traducciones: dos al chino y dos al español. Averiguamos las diferencias lingüísticas y culturales, sobre todo el nivel de coincidencia de conocimiento entre el autor y distintos lectores. Elaboramos un catálogo de las traducciones al chino a fin de concretar la posición de la traducción de esta obra en chino. Contextualizamos las traducciones acerca de la situación de la lengua meta, la ideología social y la experiencia de los traductores. Después nos concentramos en analizar 22 fragmentos con juegos de palabras en el texto original y textos meta, categorizamos los juegos de palabras y las técnicas de traducción aplicadas y describimos el efecto de las traducciones de los juegos. En la conclusión relacionamos las técnicas traductoras, su efecto y el contexto socio-cultural con la intención de explicar las decisiones que toman los traductores.

Generalized canonical correlation analysis of matrices with different row and column orders

A Method is offered that makes it possible to apply generalized canonicalcorrelations analysis (CANCOR) to two or more matrices of different row and column order. The new method optimizes the generalized canonical correlationanalysis objective by considering only the observed values. This is achieved byemploying selection matrices. We present and discuss fit measures to assessthe quality of the solutions. In a simulation study we assess the performance of our new method and compare it to an existing procedure called GENCOM,proposed by Green and Carroll. We find that our new method outperforms the GENCOM algorithm both with respect to model fit and recovery of the truestructure. Moreover, as our new method does not require any type of iteration itis easier to implement and requires less computation. We illustrate the methodby means of an example concerning the relative positions of the political parties inthe Netherlands based on provincial data.

The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements

A mathematical model of the voltage drop which arises in on-chip power distribution networks is used to compare the maximum voltage drop in the case of different geometric arrangements of the pads supplying power to the chip. These include the square or Manhattan power pad arrangement, which currently predominates, as well as equilateral triangular and hexagonal arrangements. In agreement with the findings in the literature and with physical and SPICE models, the equilateral triangular power pad arrangement is found to minimize the maximum voltage drop. This headline finding is a consequence of relatively simple formulas for the voltage drop, with explicit error bounds, which are established using complex analysis techniques, and elliptic functions in particular.

Between Cratylism and Positivism: the Old Poem and What Alice Found There

En aquest article em referiré molt sumàriament a la fi lologia del dinou, mirant de relacionar-la amb tot el joc de paraules en Lewis Carrol, per tal d'establir-hi una trama correcta de (dis)continuïtats. El meu objectiu és considerar el Jabberwocky de Humpty Dumpty en el context de la feina i les descobertes de la moderna fi lologia. F. A. Wolf i J. Grimm condensen bona cosa dels experiments radicals i les troballes que tingueren lloc en aquells moments, que podríem contrastar amb les aventures textuals d'Alícia a l'altra banda de l'espill. Els llibres de l'altra banda necessiten intèrprets i cerquen la versió correcta, original, de la mateixa manera que la interpretació dels mots depèn d'un mètode fi able. Segurament Lewis Carroll com a jove fi lòleg era capaç de jugar bé amb aquelles troballes, entre un món que s'acabava i un altre que començava.

The univalent Bloch-Landau constant, harmonic symmetry and conformal glueing

By modifying a domain first suggested by Ruth Goodman in 1935 and by exploiting the explicit solution by Fedorov of the Polyá-Chebotarev problem in the case of four symmetrically placed points, an improved upper bound for the univalent Bloch-Landau constant is obtained. The domain that leads to this improved bound takes the form of a disk from which some arcs are removed in such a way that the resulting simply connected domain is harmonically symmetric in each arc with respect to the origin. The existence of domains of this type is established, using techniques from conformal welding, and some general properties of harmonically symmetric arcs in this setting are established.

A vueltas con 'Alicia en el país de las maravillas'

Tim Burton sitúa su versión de Las aventuras de Alicia en el país de las maravillas (1865), de Charles Lutwidge Dodgson, más conocido por su pseudónimo Lewis Carroll, en la Inglaterra victoriana durante la segunda mitad del siglo XIX. Presenta a una Alicia, con 19 años, que vuelve a la mansión donde había vivido de niña.

On Lundh's percolation diffusion

A collection of spherical obstacles in the unit ball in Euclidean space is said to be avoidable for Brownian motion if there is a positive probability that Brownian motion diffusing from some point in the ball will avoid all the obstacles and reach the boundary of the ball. The centres of the spherical obstacles are generated according to a Poisson point process while the radius of an obstacle is a deterministic function. If avoidable configurations are generated with positive probability, Lundh calls this percolation diffusion. An integral condition for percolation diffusion is derived in terms of the intensity of the point process and the function that determines the radii of the obstacles.

The maximum voltage drop in an on-chip power distribution network: analysis of square, triangular and hexagonal power pad arrangements

A mathematical model of the voltage drop which arises in on-chip power distribution networks is used to compare the maximum voltage drop in the case of different geometric arrangements of the pads supplying power to the chip. These include the square or Manhattan power pad arrangement, which currently predominates, as well as equilateral triangular and hexagonal arrangements. In agreement with the findings in the literature and with physical and SPICE models, the equilateral triangular power pad arrangement is found to minimize the maximum voltage drop. This headline finding is a consequence of relatively simple formulas for the voltage drop, with explicit error bounds, which are established using complex analysis techniques, and elliptic functions in particular.