The work consists of two parts. In the first part which is concerned with random walks, we construct the conditional versions of a multidimensional random walk given that it does not leave the Weyl chambers of type C and of type D, respectively, in terms of a Doob h-transform. Furthermore, we prove functional limit theorems for the rescaled random walks. This is an extension of recent work by Eichelsbacher and Koenig who studied the analogous conditioning for the Weyl chamber of type A. Our proof follows recent work by Denisov and Wachtel who used martingale properties and a strong approximation of random walks by Brownian motion. Therefore, we are able to keep minimal moment assumptions. Finally, we present an alternate function that is amenable to an h-transform in the Weyl chamber of type C. In the second part which is concerned with Brownian motion, we examine the non-exit probability of a multidimensional Brownian motion from a growing truncated Weyl chamber. Different regimes are identified according to the growth speed, ranging from polynomial decay over stretched-exponential to exponential decay. Furthermore we derive associated large deviation principles for the empirical measure of the properly rescaled and transformed Brownian motion as the dimension grows to infinity. Our main tool is an explicit eigenvalue expansion for the transition probabilities before exiting the truncated Weyl chamber.

No description available.

The work consists of two parts. In the first part which is concerned with random walks, we construct the conditional versions of a multidimensional random walk given that it does not leave the Weyl chambers of type C and of type D, respectively, in terms of a Doob h-transform. Furthermore, we prove functional limit theorems for the rescaled random walks. This is an extension of recent work by Eichelsbacher and Koenig who studied the analogous conditioning for the Weyl chamber of type A. Our proof follows recent work by Denisov and Wachtel who used martingale properties and a strong approximation of random walks by Brownian motion. Therefore, we are able to keep minimal moment assumptions. Finally, we present an alternate function that is amenable to an h-transform in the Weyl chamber of type C. In the second part which is concerned with Brownian motion, we examine the non-exit probability of a multidimensional Brownian motion from a growing truncated Weyl chamber. Different regimes are identified according to the growth speed, ranging from polynomial decay over stretched-exponential to exponential decay. Furthermore we derive associated large deviation principles for the empirical measure of the properly rescaled and transformed Brownian motion as the dimension grows to infinity. Our main tool is an explicit eigenvalue expansion for the transition probabilities before exiting the truncated Weyl chamber.

In critical times of reawakening right-wing ideologies in Germany, the social movement OMAS GEGEN RECHTS (transl. ‘Grannies against the far right’) sets a determined, yet by many unexpected, political statement against fascism. This thesis draws on collective identity theory and symbolic interactionism to conceptualize the activists’ communicative and strategic use of the grandmother self-designation. Based on semi- structured interviews, photo elicitation method, participant observation, and song lyrics, the work explores the expressive and symbolic meaning of their collective action, communicative objects and processes. The grounded analysis points to four themes of identity negotiations – (1) loudness, (2) visibility, (3) commemoration and (4) peacefulness versus ruthlessness – to reveal how OMAS GEGEN RECHTS re-appropriate grandmotherhood. With the lens of feminist gerontology, it becomes apparent that the activists’ self-designation ‘OMA’ extends far beyond anti-fascist commitment by challenging traditional images of female ageing. / In kritischen Zeiten wiedererstarkender rechter Ideologien in Deutschland setzt die soziale Bewegung OMAS GEGEN RECHTS ein entschlossenes, wenngleich für viele unerwartetes politisches Zeichen gegen den Faschismus. Mit Theorien der kollektiven Identität und des symbolischen Interaktionismus konzeptualisiert diese Arbeit den kommunikativen und strategischen Gebrauch der Selbstbezeichnung ‚Oma‘. Deren expressive und symbolische Bedeutung in Form von kollektiver Aktion sowie kommunikativer Objekte und Prozesse wird auf Grundlage von Interviews (mit visueller Unterstützung), teilnehmenden Beobachtungen und Liedtexten untersucht. Die fundierte Analyse verweist auf vier Themen der Identitätsverhandlungen – (1) Lautstärke, (2) Sichtbarkeit, (3) Gedenken und (4) Friedfertigkeit versus Wehrhaftigkeit. Die Themen zeigen auf, wie OMAS GEGEN RECHTS den Begriff der ‚Großmutterschaft‘ neu interpretieren und ihn sich aneignen. Aus der Perspektive der feministischen Gerontologie wird deutlich, dass die Selbstbezeichnung der Aktivistinnen ‚OMA‘ weit über antifaschistisches Engagement hinausgeht, indem sie traditionelle Bilder des weiblichen Alterns in Frage stellen.

No description available.