The walk laplacian transform of genetic correlation matrices is described and the network display and interpretation of ensuing haplotype relations exemplified. Pharmacogenetic epistatic interactions can be decomposed using residual projections.

We study an abstract nonlinear evolution equation governed by time-dependent operator of subdi erential type in a real Hilbert space. In this paper we discuss the convergence of solutions to our evolution equations. Also, we investigate the optimal control problems of nonlinear evolution equations. Moreover, we apply our abstract results to a quasilinear parabolic PDE with a mixed boundary cond...

This paper proposes a new abstract domain for languages on infinite alphabets, which acts as a functor taking an abstract domain for a concrete alphabet and lift it to an abstract domain for words on this alphabet. The abstract representation is based on lattice automata, which are finite automata labeled by elements of an atomic lattice. We define a normal form, standard language operations an...

In this paper there are obtained results on the finiteness of the point spectrum of some nonselfadjoint operators. In particular the operators of WienerHopf type acting in arbitrary Hilbert space, l2 and L2(R+) are considered. In the present paper there is examined the problem of finiteness of the point spectrum of some nonselfadjoint operators. The similar problems have been studied for differ...