Jaime San Martin

Quasi-stationary distributions and diffusion models in population dynamics

In this paper, we study quasi-stationarity for a large class of Kolmogorov diffusions. The main novelty here is that we allow the drift to go to

Inverse of Strictly Ultrametric Matrices are of Stieltjes Type

- \infty

A New Class of Inverse M -Matrices of Tree-Like Type

at the origin, and the diffusion to have an entrance boundary at

CURVATURE OF THE CONVEX HULL OF PLANAR BROWNIAN MOTION NEAR ITS MINIMUM POINT

+\infty

Inverse M-matrices and ultrametric matrices

. These diffusions arise as images, by a deterministic map, of generalized Feller diffusions, which themselves are obtained as limits of rescaled birth--death processes. Generalized Feller diffusions take nonnegative values and are absorbed at zero in finite time with probability

Stochastic models for a chemostat and long-time behavior

1

The λ-classification of continuous-time birth-and-death processes

. An important example is the logistic Feller diffusion. We give sufficient conditions on the drift near

Dynamics and randomness II

0

Dynamics and randomness

and near

The Class of Inverse

+ \infty