Lefschetz Center for Dynamical Systems Seminar
Abstract: We present some large deviation results for ergodic averages for dynamical systems which have some hyperbolicity but are not necessary uniformly hyperbolic. Examples are the Lorentz gas, some quadratic maps of the interval, Henon maps, etc. We also discuss some applications to nonequilibrium statistical mechanics. This is a joint work with L.S. Young.
Brown University Center for Statistical Sciences Seminar
Abstract: This paper considers an identification bound analysis to a selection problem where a selection mechanism can potentially depend on missing outcomes. This is a common situation in observational studies and in randomized experiments with imperfect compliance. We explore a use of instrumental variables given their statistical independence of potential outcomes and derive the tightest possible bounds of the potential outcome distributions and the associated causal effects with or without various sets of assumptions including Random Treatment Assignment and Monotonicity (Angrist, Imbens, and Rubin, 1995). In particular, this paper examines under which situation the assumptions can further tighten the sharp bounds and provides an interpretation on the known identification bounds in the literature [e.g. Manski (1990, 1994, 2003), Balke and Pearl (1997), and Heckman and Vytlacil (2001)]. We also discuss refutability of these assumptions and derive the conditions for the sharp identification bounds to be nonempty.
Brown Analysis Seminar
Thanksgiving Talk
Abstract: The speaker will describe his computational experiences when as a new BS in Mathematics, he was employed as an aerodynamicist at the NACA, Langley Field, Virginia.
Department of Mathematics Colloquium
<--- 2007 Index