Inverse Problem for Fractional Brownian Motion with Discrete Data

The problem of recovering information from measurement data has already been studied for a long time. In the beginning, the methods were mostly empirical, but already towards the end of the sixties Backus and Gilbert started the development of mathematical methods for the interpretation of geophysical data. The problem of recovering information about a physical phenomenon from measurement data is an inverse problem. Throughout this work, the statistical inversion method is used to obtain a solution. Assuming that the measurement vector is a realization of fractional Brownian motion, the goal is to retrieve the amplitude and the Hurst parameter. We prove that under some conditions, the solution of the discretized problem coincides with the solution of the corresponding continuous problem as the number of observations tends to infinity. The measurement data is usually noisy, and we assume the data to be the sum of two vectors: the trend and the noise. Both vectors are supposed to be realizations of fractional Brownian motions, and the goal is to retrieve their parameters using the statistical inversion method. We prove a partial uniqueness of the solution. Moreover, with the support of numerical simulations, we show that in certain cases the solution is reliable and the reconstruction of the trend vector is quite accurate.

Discursive Matrixes of Motherhood : Cultivating Decency and Emotion in Finnish and French Mother-talk

Discursive Matrixes of Motherhood examines women's discourse on their experiences of new motherhood in Finland and France. It sets out from two culturally prevalent turns of speech observed in different social forums: in conversations amongst mothers with tertiary education and in the print media. The pool of data includes: 30 interviews, 8 autobiographically inspired novels and 80 items from women's magazines. With instruments loaned from the toolbox of rhetorical analysis, the recurrence of certain expressions or clichés is analyzed with regard to the national, cultural, biographical, political and daily contexts and settings in which the speaking subjects are immersed. "Staying at home is such a short and special time", the first expression under scrutiny, caught the sociological eye because of its salience in Finland and because it appeared as contradictory with a core characteristic of the Finnish context:long family leave. The cliché was found to function as a discursive micromechanism which swept mothers' 'complaints' under the proverbial carpet. Proper emotions and decency in mother-talk thereby appear as collective achievements. An opposite phenomenon - that of the scaling up of rewards procured by children - was also discerned in the data. Indeed, the French expression "Profiter de mon enfant" ["making the most of my child"/"enjoying my child"] is interpreted as a crystallization of a hedonist ethos of motherhood in everyday language. Secondly, the recurrence of this utterance is analyzed in the light of a requisite located in child-rearing expert literature: that of pleasure that women should take in mothering. Hence, one of the rules found to structure the discursive matrixes of motherhood is the laudability and audibility of enjoyment and conversely the discretion and discouragement of 'complaints'. The cultivation of decent matches between certain categories of emotions and certain categories of individuals also appears as a characteristic of discursive matrixes. One of the methodological findings relates to the fact that such matches may be constituted as sociological objects through the identification of recurrent discursive crystallizations in a given culture. Ideal matches may crystallize in turns of speech and mismatches can be managed through clichés. Becoming a mother entails an immersion in such a particular economy of speech. Key words: mothers, motherhood, transition to parenthood, family, emotions, morality, bonds, rhetorical analysis, discourse analysis, media analysis, France, Finland, comparative sociology

Personnel Managers and Crisis Situations. Emotion-handling Strategies

This study focuses on personnel managers in crisis situations. The interviewed personnel managers referred to emotions as a central element to be dealt with in a crisis. However, until recently, the exploration of emotions in organisational life has been de-emphasised or ignored. This study aims to bring to the surface aspects of personnel work that have so far been neglected or remained invisible. It specifically examines how personnel managers handle employees’ and their own emotions in a crisis. Based on the interviews, a number of emotional episodes were constructed. They describe the type and context of the crisis and the person(s) whose emotions are handled. The main findings of the study are the five emotion-handling strategies that could be constructed from the data. The negotiation-like manner in which personnel managers handled emotions in crisis situations proved especially interesting. They were actually negotiating emotional value for their organisations. Further, they handled their own emotions within the frame of two logics of appropriateness labelled mothering and guide-following. The episodes described also enabled identification of the values enacted by the personnel managers in handling emotions. The study provides descriptive information on emotion handling, a current and relevant feature in the practice of personnel management. It seeks to offer a frame for developing practical principles that can be helpful in a crisis. It also offers the opportunity to consider a variety of difficult situations that personnel managers may confront in their work.