Let F be a genus two Siegel newform and g a classical newform, both of squarefree levels and of equal weight l. We prove a pullback formula for certain Eisenstein series — thus generalizing a construction of Shimura — and use this to derive an explicit integral representation for the degree eight L-function L(s, F × g). This integral representation involves the pullback of a simple Siegel-type ...

We prove that any smooth mapping between reduced analytic spaces induces a natural pullback operation on differential forms.

Background Pressure recovery is the variable increase in lateral pressure downstream from a stenotic orifice. The magnitude and clinical significance of pressure recovery in aortic valve stenosis are poorly defined. Methods and Results We obtained high-fidelity pressure and velocity recordings in 11 patients with isolated significant aortic valve stenosis at the time of diagnostic cardiac cathe...

The most recent test-beds for action and identity recognition have exposed the limitations of the, otherwise successful, methods which directly classify features extracted from the spatio-temporal volumes representing motions. In opposition, encoding the actions’ dynamics via generative dynamical models has a number of desirable features when it comes to unsupervised learning of plots, crowd mo...

A pointed endofunctor (and in particular a reflector) (R, r) in a category X is direct iff for each morphism f : X→ Y the pullback of Rf against rY exists and the unique fill-in morphism u from X to the pullback is such that Ru is an isomorphism. (This is close to the concept of a simple reflector introduced by Cassidy, Hébert and Kelly in 1985.) We give sufficient conditions for directness, an...

For any Thurston map with exactly four postcritical points, we present an algorithm to compute the Weil-Petersson boundary values of the corresponding Thurston pullback map. This procedure is carried out for the Thurston map f(z) = 3z 2 2z3+1 originally studied by Buff, et al. The dynamics of this boundary map are investigated and used to solve the analogue of Hubbard’s Twisted Rabbit problem f...

The purpose of this paper is to give a purely equivariant definition of orbifold Chow rings of quotient Deligne-Mumford stacks. This completes a program begun in [JKK] for quotients by finite groups. The key to our construction is the definition (Section 6.1), of a twisted pullback in equivariant K-theory, KG(X) → KG(I2G(X)) taking non-negative elements to non-negative elements. (Here I G (X) =...

The construction of a Lyapunov function characterizing the pullback attraction of a cocycle attractor of a nonautonomous discrete time dynamical system involving Lipschitz continuous mappings is presented.