We survey three recent breakthroughs in algebraic combinatorics. The first is the proof by Knutson and Tao, and later Derksen and Weyman, of the saturation conjecture for Littlewood-Richardson coefficients. The second is the proof of the n! and (n + 1)n−1 conjectures by Haiman. The final breakthrough is the determination by Baik, Deift, and Johansson of the limiting behavior of the length of th...

Let u(d, n) denote the number of permuations in the symmetric group Sn with no increasing subsequence of length greater than d. u(d, n) may alternatively be interpreted as the number of closed Z-lattice walks which begin and end at the origin and take n positive steps followed by n negative steps while remaining confined to the Weyl chamber W = {(t1, t2, . . . , td) ∈ R : t1 ≥ t2 ≥ · · · ≥ td}....

Karlin and Altschul in their statistical analysis for multiple highscoring segments in molecular sequences introduced a distribution function which gives the probability there are at least r distinct and consistently ordered segment pairs all with score at least x. For long sequences this distribution can be expressed in terms of the distribution of the length of the longest increasing subseque...

The Mallows measure on the symmetric group Sn is the probability measure such that each permutation has probability proportional to q raised to the power of the number of inversions, where q is a positive parameter and the number of inversions of π is equal to the number of pairs i < j such that πi > πj . We prove a weak law of large numbers for the length of the longest increasing subsequence ...

In this paper, we introduce a system for reducing the visibility of infrequently used user interface items by increasing their transparency, thus increasing the visibility of frequently used items. We believe this system to be a superior alternative to the common method of completely removing infrequently used items from view. We discuss applications of this system to menus, toolboxes and deskt...

Beginning January 2014, Psychological Science gave authors the opportunity to signal open data and materials if they qualified for badges that accompanied published articles. Before badges, less than 3% of Psychological Science articles reported open data. After badges, 23% reported open data, with an accelerating trend; 39% reported open data in the first half of 2015, an increase of more than...

The estimation of ever larger phylogenies requires consideration of alternative inference strategies, including divide-and-conquer approaches that decompose the global inference problem to a set of smaller, more manageable component problems. A prominent locus of research in this area is the development of supertree methods, which estimate a composite tree by combining a set of partially overla...

This paper describes a design technique for simultaneously increasing the transparency bandwidth and stability robustness of a two-channel position-force bilateral teleoperation architecture. Specifically, the stability and performance enhancements are obtained by introducing a dynamic compensator into the system to shape the frequency-domain properties of the human-teleoperatorenvironment loop...

This paper intends to provide insight in current political decisions and administrative requirements for production, processing and dissemination of environmental information. It should stimulate the discussion between the demand for exchange of environmental knowledge and some leading-edge experiences of ICT applications in the Environmental Informatics network. It is demonstrated, that enviro...

Trust, along with transparency, is an important indicator of a satisfactory relationship between a government and the public. Considering transparency as the key to trust in government, the purpose of this paper is to postulate a link between transparency and trust taking into account satisfaction as a psychological factor. This paper tries to find the answer of these questions: &ldquo;Is there...