An extensive statistical survey of universal approximators shows that as the dimension of a typical dissipative dynamical system is increased, the number of positive Lyapunov exponents increases monotonically and the number of parameter windows with periodic behavior decreases. A subset of parameter space remains where noncatastrophic topological change induced by a small parameter variation be...

We study a Fourier-Mukai kernel associated to GIT wall-crossing for arbitrarily singular (not necessarily reduced or irreducible) affine varieties over any field. This is closely related derived fiber product diagram the and simple understand from viewpoint of commutative differential graded algebras. However, perspective algebraic varieties, can be quite complicated, corresponding complex with...

A metal-organic framework [Cd(dppip)]n (1) based on 5-(diphenylphosphino)isophthalic acid (H2dppip) has been synthesized hydrothermally and characterized by IR spectroscopy, elemental analysis, and X-ray crystallography. [Cd(dppip)]n shows a sheet structure owing to carboxylate bridging with windows with dimensions 10.692× 9.325 Å2. The layers are further connected through P–Cd interactions to ...