Workshop: Berlin-Leipzig workshop in analysis and stochastics (day 3)
Dez 1 @ 09:00 – 12:30

More information you can find on the conference homepage:

Wolfgang Löhr, (TU Chemnitz): Continuum limits of tree-valued Markov chains and algebraic measure trees
Dez 4 @ 11:00 – 12:30

In some approaches to the reconstruction of phylogenetic trees, Markov chain Monte Carlo methods are used. These in turn use simple base-chains on the set of (binary) trees of a given size $N$. It is at least of mathematical interest (but might also help to understand properties of such Markov chains when the trees are large) to consider limit processes as $N$ tends to infinity and the time is suitably sped up. Here, we have to decide in which state space we are working, i.e., what kind of objects we want to consider as “continuum trees” in the limit, and what we mean by “limit”.
One by now almost-classical approach is to work in a space of metric measure spaces, but while it has proven successful in some situations, it seems difficult to prove convergence in others. Motivated by a particular Markov chain, the Aldous chain on cladograms, where existence of a limit process has been conjectured almost two decades ago, we introduce an alternative state space. We define the objects by a “tree structure” (formalized by a branch-point map) instead of a metric structure and call them algebraic measure trees. In this new state space, we are able to
prove convergence of the Aldous chain to a limit process with continuous paths.
(joint work with Anita Winter and Leonid Mytnik)

New Faces of the MPI present their research interests
Dez 4 @ 14:00 – 16:00

Faces of the December:
Ulrich Menne
Max Pfeffer
Andre Uschmajew

Ibrahim Nonkane, (Université Ouaga II): Discriminants of complete intersection space curves
Dez 5 @ 10:00 – 11:00

In this talk, a new approach to the theory of discriminants for complete intersection curves in the 3-dimensional projective space will be discussed.

Jeff Sommars: Algorithms and Software for Computing Tropical Prevarieties
Dez 5 @ 11:00 – 12:00
Nicolas Dirr, (Cardiff University): to be announced
Dez 5 @ 15:15 – 16:45

Vortrag in der Reihe: Oberseminar ANALYSIS – PROBABILITY

Guillaume Lévy (Laboratoire Jacques-Louis Lions, Paris): TBA
Dez 7 @ 15:15 – 16:45
Johannes Diermeier, (Universität Bonn): Korn-Poincar’e-type inequalities and energy density for a subspace of $SBD^p$
Dez 8 @ 11:00 – 12:30

Vortrag in der Reihe: Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Specialized functions of bounded deformation are established
as an setting for elasticity problems in which deformations are allowed
to jump on some $(n-1)$-dimensional set.
We are interested in a specific subspace of these functions (in 2d), in
which we fix the possible direction of the jump set for each component.
In this setting we are able to provide different Korn-Poincar’e-type
estimates, independent of the size of the jump set.
We apply these estimates to approximate such functions with functions
that are smooth up to a jump set of finitely many segments and that
satisfy the same directionally constraint.

Workshop: Open Source Computer Algebra Research (OSCAR) (day 1)
Dez 11 @ 09:45 – 18:00

More information you can find on the conference homepage:

Nihat Ay, (MPI MIS, Leipzig): Causal Inference II
Dez 11 @ 14:00 – 15:30
Letzte Änderung: 15. Mai 2013