To maintain a symbiotic balance, leguminous plants have a systemic regulatory system called autoregulation of nodulation (AUT). Since AUT is schematically similar to systemic resistance found in plant-pathogen interactions, we examined the effects of methyl jasmonate (MeJA) or methyl salicylate (MeSA) on nodulation in Lotus japonicus. Shoot-applied MeJA strongly suppressed nodulation in the wil...

For an affine algebraic variety X, we study the subgroup Autalg(X) of group regular automorphisms Aut(X) X generated by all connected subgroups. We prove that is nested, i.e., a direct limit subgroups Aut(X), if and only

The structure of the group Aut(Cn) of biholomorphisms of Cn is largely unknown if n > 1. In stark contrast Aut(C) is rather small, consisting of the nonconstant affine linear maps. The description of Aut(C) follows from the observation that an injective holomorphic function f : C → C satisfying f(0) = 0 and f ′(0) = 1 must be the identity. These considerations suggest that similar characterizat...

A group A acting faithfully on a set X has distinguishing number k, written D(A,X) = k, if there is a coloring of the elements of X with k colors such that no nonidentity element of A is color-preserving, and no such coloring with fewer than k colors exists. Given a map M with vertex set V and automorphism group Aut(M), let D(M) = D(Aut(M), V ). If M is orientable, let D+(M) = D(Aut+(M), V ), w...

Consider X 1 , X 2 ,. .. , X n that are independent and identically N(µ, σ 2) distributed. Suppose that we have uncertain prior information that µ = 0. We answer the question: to what extent can a frequentist 1−α confidence interval for µ utilize this prior information?

We review in this talk some aspects of the exciting field of hyperon polarization phenomena in high energy reactions, over the last twenty years or so. On the experimental side, a large amount of significant polarization data for hyperon and antihyperon inclusive production, has been accumulated in a rather broad energy range. Many theoretical attempts to explain that have been proposed and we ...