Self-similar solutions of the one-dimensional Landau-Lifshitz-Gilbert equation

We consider the one-dimensional Landau-Lifshitz-Gilbert (LLG) equation, a model describing the dynamics for the spin in ferromagnetic materials. Our main aim is the analytical study of the bi-parametric family of self-similar solutions of this model. In the presence of damping, our construction provides a family of global solutions of the LLG equation which are associated to a discontinuous initial data of infinite (total) energy, and which are smooth and have finite energy for all positive times. Special emphasis will be given to the behaviour of this family of solutions with respect to the Gilbert damping parameter. We would like to emphasize that our analysis also includes the study of self-similar solutions of the Schr\"odinger map and the heat flow for harmonic maps into the 2-sphere as special cases. In particular, the results presented here recover some of the previously known results in the setting of the 1d-Schr\"odinger map equation

A quantitative mirror on the Euribor market using implied probability density functions

This paper presents a set of probability density functions for Euribor outturns in three months’ time, estimated from the prices of options on Euribor futures. It is the first official and freely available dataset to span the complete history of Euribor futures options, thus comprising over ten years of daily data, from 13 January 1999 onwards. Time series of the statistical moments of these option-implied probability density functions are documented until April 2010. Particular attention is given to how these probability density functions, and their associated summary statistics, reacted to the unfolding financial crisis between 2007 and 2009. In doing so, it shows how option-implied probability density functions could be used to contribute to monetary policy and financial stability analysis. JEL Classification: C13, C14, G12, G13financial, financial market, options, probability density functions

Superovulation, in vivo Embryo Recovery and Cryopreservation for Aoudad (Ammotragus Lervia) Females Using Osmotic Pumps and Vitrification : A Preliminary Experience and its Implications for Conservation

We thank all of the administrative, veterinary and animal keeper staff of the Leon Zoological Park and the embryologists (especially to Claudia Gonzalez) of the Instituto de Ciencias en Reproducción Humana, also to J.I Castillo-Quan for critical reading of the manuscript. This work was partially supported by grants 0105961/10110/194/09 to RF, 59716 to JPRU from CONACYT and grant 107996 to JPRU from FOMIXYucatán 2008. JLS was supported by a doctoral scholarship from CONACYT (240847).Peer reviewedPublisher PD