The paper compares performance of Nonmem estimation methods—first order conditional estimation with interaction (FOCEI), iterative two stage (ITS), Monte Carlo importance sampling (IMP), importance… (More)

We discuss the possible candidates for conformally invariant random non-self-crossing curves which begin and end on the boundary of a multiply connected planar domain, and which satisfy a… (More)

A proof of concept study was conducted to investigate the safety and tolerability of a novel oral glucokinase activator, LY2599506, during multiple dose administration to healthy volunteers and… (More)

We construct radial stochastic Loewner evolution in multiply connected domains, choosing the unit disk with concentric circular slits as a family of standard domains. The natural driving function or… (More)

We study a one parameter family of discrete Löwner evolutions driven by a random walk on the real line. We show that it converges to the stochastic Löwner evolution (SLE) under rescaling. We show… (More)

We study the probability that chordal SLE8/3 in the unit disk from exp(ix) to 1 avoids the disk of radius q centered at zero. We find the initial/boundary-value problem satisfied by this probability… (More)

We give a geometric derivation of SLE(κ, ρ) in terms of con-formally invariant random growing compact subsets of polygons. The parameters ρ j are related to the exterior angles of the polygons. We… (More)

We give a direct construction of the conformally invariant measure on self-avoiding loops in Riemann surfaces (Werner measure) from chordal SLE8/3. We give a new proof of uniqueness of the measure… (More)

We study the horizontal Laplacian ∆ associated to the Hopf fibration S → S with arbitrary Chern number k. We use representation theory to calculate the spectrum, describe the heat kernel and obtain… (More)