Efforts to identify loci underlying complex traits generally assume that most genetic variance is additive. Here, we examined the genetics of Arabidopsis thaliana root length and found that the genomic narrow-sense heritability for this trait in the examined population was statistically zero. The low amount of additive genetic variance that could be captured by the genome-wide genotypes likely ...

Let R be a ring with center Z(R). We write the commutator [x, y] = xy− yx, (x, y ∈ R). The following commutator identities hold: [xy,z] = x[y,z] + [x,z]y; [x, yz] = y[x,z] + [x, y]z for all x, y,z ∈ R. We recall that R is prime if aRb = (0) implies that a= 0 or b = 0; it is semiprime if aRa = (0) implies that a = 0. A prime ring is clearly a semiprime ring. A mapping f : R→ R is called centrali...

Consider a set of single-input, single-output nonlinear systems whose input–output maps are described only in terms convergent Chen–Fliess series without any assumption that finite dimensional state space models available. It is shown additive or multiplicative interconnection such always has representation can be computed explicitly iterated formal Lie derivatives.

In this thesis, we have proposed ACTOM, a Topic Map building approach based on an automated processtaking into account multilingual documents and Topic Map evolution according to content and usage changes.To enrich the Topic Map, we are based on a domain thesaurus and we propose to explore all potentialquestions related to source documents on order to represent usage in the Topic Ma...

Let (X ,J ) denote a Markov-additive process with phase–type jumps (PH-MAP) and denote its supremum process by S. For some a > 0, let τ(a) denote the time when the reflected processY := S−X first surpasses the level a. Further, let τ−(a) denote the last time before τ(a) when X attains its current supremum. In this paper we shall derive the joint distribution of Sτ(a), τ−(a) and τ(a), where the ...

We analyze the quasi-stationary distributions of the family of Markov chains {Xε n }, ε > 0, obtained from small non-local random perturbations of iterates of a map f : I → I on a compact interval. The class of maps considered is slightly more general than the class of one-dimensional Axiom A maps. Under certain conditions on the dynamics, we show that as ε → 0 the limit quasi-stationary distri...

Health impact assessment has become important in the development of air quality policies and in finding the relationships between pollutants concentration and health effects. In our work we presented a novel index able to evaluate the effects on the human exposure caused by ambient air pollution in urban areas. The index is able to link both health risk factors and pollutants levels. The indexe...

This paper summarises recent results on bicategories of concurrent games and strategies. Nondeterministic concurrent strategies, those nondeterministic plays of a game left essentially unchanged by composition with copy-cat strategies, have recently been characterized as certain maps of event structures. This leads to a bicategory of general concurrent games in which the maps are nondeterminist...

The Markov additive process (MAP) has become an increasingly popular modeling tool in the applied probability literature. In many applications, quantities of interest are represented as functionals of MAPs and potential measures, also known as resolvent measures, have played a key role in the representations of explicit solutions to these functionals. In this paper, closed-form solutions to pot...