For a (standard) Young tableau T on [k], say that a tableau T ′ on [n] contains T as a subtableau if the cells of T ′ containing the elements of [k] are arranged as in T . McKay, Morse, and Wilf recently introduced the idea of quasirandom permutations and used this to find the limiting probability (as n → ∞) that a tableau on [n] contains a given tableau on [k] as a subtableau. Stanley then use...

Abstract. We give another construction of a permutation tableau from its corresponding permutation and construct a permutation-preserving bijection between 1-hinge and 0-hinge tableaux. We also consider certain alignment and crossing statistics on permutation tableaux that are known to be equidistributed via a complicated map to permutations that translates those to occurrences of certain patte...

Let T ∗ be a standard Young tableau of k cells. We show that the probability that a Young tableau of n cells contains T ∗ as a subtableau is, in the limit n → ∞, equal to ν(π(T ∗))/k!, where π(T ∗) is the shape (= Ferrers diagram) of T ∗ and ν(π) is the number of all tableaux of shape π. In other words, the probability that a large tableau contains T ∗ is equal to the number of tableaux whose s...

Function prediction of proteins with computational sequence analysis requires the use of dozens of prediction tools with a bewildering range of input and output formats. Each of these tools focuses on a narrow aspect and researchers are having difficulty obtaining an integrated picture. ANNIE is the result of years of close interaction between computational biologists and computer scientists an...

We have studied the effect of hypothetical Cosmions on the core stability of main sequence stars (of populations I and II). Cosmions, with a mass of 4-10 Gev/c2 and a scattering cross section with nucleons of approximately 10-36 cm2 could prevail in transporting heat in the stellar cores. Raby [17] showed the existence of a local thermal instability caused by the presence of Cosmions in the sol...

For certain real analytic data, we show that the eigenvalue sequence of the associated transfer operator L is insensitive to the holomorphic function space on which L acts. Explicit bounds on this eigenvalue sequence are established.