Sommersemester 2017

Dienstag, 16. Mai 2017, Raum NG 1.741a, Campus Westend, 18.15 - 20.00 Uhr

Prof. Dr. Sylvie Roelly (Potsdam), Die Renaissance des Werkes des Mathematikers Vincent Doeblin

Gemeinsame Kolloquiumsveranstaltung der AG Wissenschaftsgeschichte und des Instituts für Mathematik der Goethe-Universität sowie des Fritz Bauer Instituts Frankfurt:

Inhalt: Wolfgang Döblin (1915-1940), zweitältester Sohn des Schriftstellers Alfred Döblin, schuf in seinem sehr kurzen Leben ein geniales mathematisches Werk im Bereich der Wahrscheinlichkeitstheorie. Im Hintergrund stehen die gespannte Beziehung zwischen Vater und Sohn, die Emigration von Berlin nach Paris, Krieg und tragischer Tod. In diesem allgemeinverständlichen Vortrag werden wir insbesondere besprechen, wie ein versiegelter Brief die Wiedergeburt seiner bahnbrechenden Ideen sicherte und zur Quelle neuer wissenschaftlicher Inspiration wurde. 

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Wintersemester 2016/17

Freitag, 16.12.16, 16 Uhr c.t.

Thomas Bruss (Université Libre de Bruxelles)

Vortragstitel: "Immigration and Integration, and what we can learn from Resource-Dependent Branching Processes"

Abstract: The objective of this talk is to present a framework to tackle questions of equilibria in human populations with immigration. The model we examine is based on sequences of resource-dependent branching processes, for which the influence of policies to distribute resources within a society is well understood through the so-called theorem of envelopment of societies (2015). So far however, these models allow for emigration only whereas large-scale immigration could not be integrated in a convincing way. A recent paper by J. M. Steele (2016) opens, as we shall show, a new access, and we derive necessary conditions for the existence of long-term equilibria between the effectives of the home-population and immigrants. Under independence assumptions these become also sufficient. As far as the speaker is aware these results are new. He is much looking forward to the occasion of hearing criticism and suggestions for improvements from the Frankfurt school of probabilists. Keywords: Probabilistic modelling, Random environment, Theorem of Envelopment, Weakest-first society, Extinction criteria, Theorem of envelopment, Equilibrium equations.

References: F. T. Bruss and J. B. Robertson (1991), „Wald's Lemma“ for the sum of order statistics of i.i.d random variables, Adv. in Appl. Prob. , Vol. 23, No 3: 612-623. F. T. Bruss and M. Duerinckx, (2015), “Resource–dependent branching processes and the envelope of societies" <http://www.e-publications.org/ims/submission/AAP/user/submissionFile/14420?confirm=b66fa8d4> , Annals of Applied Probability, Vol. 25: 324–372. P. Jagers and F.C. Klebaner, „Population-size-dependent and age-dependent branching processes". Stochastic Processes and Their Applications. Vol. 87 :235–254. J. M. Steele, (2016), „The Bruss-Robertson Inequality: Elaborations, Extensions, and Applications“, MathematicaApplicanda, Vol. 44 , No 1: 3-16.


Anfahrt mit ÖPNV

- Haltestelle Bockenheimer Warte für U4/U6/U7
- Haltestelle Westbahnhof für S3-S6
- Haltestelle Varrentrappstraße für Straßenbahn Linie 16/17