# Demystifying optimal dynamic treatment regimes

Last edited by on Mon, 08/27/2007 - 14:04# The transcriptional regulator CBP has defined spatial associations within interphase nuclei

### Publication Type:

Journal Article### Source:

PLoS Computational Biology, Volume 2, Issue 10, p.e139 (2006)# On a geometric Ramsey-style problem.

08/31/2007 - 16:30

08/31/2007 - 18:00

Speaker:

Louigi Addario-Berry

Location:

McConnell 320

Abstract:

Given a point set P in R^2, the visibility graph V(P) is the graph with vertex set P and for which, given points p,q
of P, pq is an edge precisely if the line segment [p,q] contains no points aside from p and q. In 2006, Kara,
Por and Wood, conjectured that for all pairs of positive integers (k,c) there is a finite number v(k,c) such that
if |P|> v(k,c) and no k points of P are collinear, then V(P) contains a clique of size c. Despite the simplicity of this statement,
essentially no non-trivial bounds on v(k,c) are known. I will discuss some recent work on the conjecture of
Kara et.al. This is joint work with Cristina Fernandes, Yoshiharu Kohayakawa, Jos Coelho de Pina, and Yoshiko Wakabayashi.

# Concentration phenomena for singularly perturbed elliptic PDEs

09/07/2007 - 00:00

Speaker:

Andrea Malchiodi (ISAS, Trieste)

Location:

TBA

Abstract:

We consider a class of nonlinear elliptic equations with a singular perturbation parameter $\epsilon$, which arise from physical or biologial models, like the nonlinear Schroedinger equation or the Gierer-Meinhardt system. In the last twenty years, a lot of attention has been devoted to study the asymptotics of solutions, and more recently some results about concentration at sets of positive dimension have been derived. We discuss the recent progress in this direction and some open problems.