Matrix Whittaker processes.

We study a discrete-time Markov process on triangular arrays of matrices of size , driven by inverse Wishart random matrices. The components of the right edge evolve as multiplicative random walks on positive definite matrices with one-sided interactions and can be viewed as a -dimensional generalisation of log-gamma polymer partition functions. We establish intertwining relations to prove that, for suitable initial configurations of the triangular process, the bottom edge has an autonomous Markovian evolution with an explicit transition kernel.

New and noteworthy species of the genus (Orchidaceae, Laeliinae) from the Área de Conservación Privada La Pampa del Burro, Amazonas, Peru.

Fourteen species of the genus , recently collected in the Área de Conservación Privada La Pampa del Burro (ACPPB), five of them new to science (, , , , and ), are described and illustrated. The other species include a new record for Peru () and four for the department of Amazonas (, , , and ). is here considered a synonym of .

A new species of (Orchidaceae, Epidendroideae, Malaxidinae) from the Bosque de Protección Alto Mayo, San Martín, Peru.

is described, illustrated, and tentatively assigned to the Neotropical section Decumbentes on the basis of its branching, prostrate rhizomes and upright stems bearing several leaves. Vegetatively, the new species is distinguished by its short, upward stems bearing 3-6 leaves, these with undulate, translucent margins and reticulate, prominent veining on the upper surface. Florally, it is distinctive in the labellum with fleshy basal one-half provided with a central, rounded cavity limited on each side by a prominent, bilobulate ridge and apically by a lunate ridge, and membranaceous, trilobulate apical one-half deflexed ca.

Loop-Erased Walks and Random Matrices.

It is well known that there are close connections between non-intersecting processes in one dimension and random matrices, based on the reflection principle. There is a generalisation of the reflection principle for more general (e.g.

Outcomes in renal transplantation with expanded-criteria donors.

Background: Kidney transplantation is the treatment of choice for patients with end-stage renal disease. In recent years donor criteria have changed to increase the percentage of expanded-criteria donors (ECDs). The aim of this study was to analyze transplants from ECDs obtained at our institution from.