Healthcare organisations must improve their business practices and internal procedures in order to answer the increasing demand of health professionals and the general public for more and better information. Hospitals invest massively in information systems and technology (IS/IT) in the hope that these investments will improve healthcare and meet patients’ demands. The main objective of our res...

Interest in preconceptional healthcare was advanced by release of the recommendations of the Centers for Disease Control and Prevention (CDC) and its Select Panel on Preconception Care in 2006. With increasing interest, apprehension surfaced from healthcare professionals, women, and the public at large. The most common themes of concerns are that an emphasis on preconception care is pronatalist...

Demographic change and growing urbanization are essential reasons for the increasing demand for mobility in rural areas in Germany. Municipalities in sparsely populated counties are confronted with the problem of providing a basic supply of public mobility services. Especially for rural areas, established public transport means have to be complemented by additional, new, and innovative mobility...

For many years universities have been the most prominent institutions for science, research and education. One of the most important objectives is the creation of information assets. In the current situation of decreasing public funding and increasing competition from private research institutions and highcalibre corporate universities, the leading position of public universities is being threa...

We prove a formula for the number of permutations in Sn such that their first n− k entries are increasing and their longest increasing subsequence has length n− k. This formula first appeared as a consequence of character polynomial calculations in recent work of Adriano Garsia and Alain Goupil. We give two ‘elementary’ bijective proofs of this result and of its q-analogue, one proof using the ...

Let Ln be the length of the longest increasing subsequence of a random permutation of the numbers 1, . . . , n, for the uniform distribution on the set of permutations. Hammersley’s interacting particle process, implicit in Hammersley (1972), has been used in Aldous and Diaconis (1995) to provide a “soft” hydrodynamical argument for proving that limn→∞ ELn/ √ n = 2. We show in this note that th...

It is proved in [BOO], [J2] and [Ok1] that the joint distribution of suitably scaled rows of a partition with respect to the Plancherel measure of the symmetric group converges to the corresponding distribution of eigenvalues of a Hermitian matrix from the Gaussian Unitary Ensemble. We introduce a new measure on strict partitions, which is analogous to the Plancherel measure, and prove that the...

This note gives a simple proof of the existence and monotonicity of optimal debt contracts in simple models of borrowing and lending with ex−post asymmetric information, risk−averse agents and heterogeneous beliefs. Our argument is based on the concept of nondecreasing rearrangement and on a supermodular version of Hardy−Littlewood inequality. Citation: Renou, Ludovic and Guillaume Carlier, (20...

1.1. Plancherel measures. Given a finite group G, by the corresponding Plancherel measure we mean the probability measure on the set G∧ of irreducible representations of G which assigns to a representation π ∈ G∧ the weight (dim π)/|G|. For the symmetric group S(n), the set S(n)∧ is the set of partitions λ of the number n, which we shall identify with Young diagrams with n squares throughout th...

We consider scenarios in which long sequences of data are analyzed and subsequences must be traced that are monotone and maximum, according to some measure. A classical example is the online Longest Increasing Subsequence Problem for numeric and alphanumeric data. We extend the problem in two ways: (a) we allow data from any partially ordered set, and (b) we maximize subsequences using much mor...