We consider the pullback attractors for non-autonomous dynamical systems generated by stochastic lattice differential equations with non-autonomous deterministic terms. We first establish a sufficient condition for existence of pullback attractors of lattice dynamical systems with both non-autonomous deterministic and random forcing terms. As an application of the abstract theory, we prove the ...

We’ve covered a lot of ground so far. I want to remind you that we’ve essentially defined a very few things, and spent all our energy on showing that they behave well with respect to each other. In particular: proper pushforward, flat pullback, c·, s·, s·(X, Y). Gysin pullback for divisors; intersecting with pseudo-divisors. Gysin pullback for 0sections of vector bundles. We know how to calcula...

BACKGROUND Specific nutrients like L-arginine (L-Arg) ameliorate intestinal inflammation, however the exact mechanisms of this effect are unclear. We hypothesized the anti-inflammatory effects of L-Arg require active transport and metabolism by inducible nitric oxide synthase (iNOS) to generate nitric oxide (NO). To test this hypothesis we examined the effects of L-Arg, L-Arg transport activity...

It is a long-standing conjecture in 3-manifold theory that every homotopy equivalence f :M!N between closed, irreducible 3-manifolds M and N , with j 1(M)j (=j 1(N)j) = 1, is homotopic to a homeomorphism. In [Wa], Waldhausen proved that this conjecture was true, if we assume that N contains a 2-sided incompressible surface S. The proof consists of rst homotoping the map f so that the pullback s...

Let X be a projective manifold, ρ : X̃ → X its universal covering and ρ∗ : V ect(X) → V ect(X̃) the pullback map for the isomorphism classes of vector bundles. This article establishes a connection between the properties of the pullback map ρ∗ and the properties of the function theory on X̃. We prove the following pivotal result: if a universal cover of a projective variety has no nonconstant holo...

AIMS In coronary bifurcations assessment, evaluation of side-branch (SB) ostia by an optical coherence tomography (OCT) pullback performed in the main branch (MB) could speed up lesion evaluation and minimize contrast volume. Dedicated software that reconstructs the cross-sections perpendicular to the SB centreline could improve this assessment. We aimed to validate a new method for assessing t...

In this paper, the existence and uniqueness of pullback attractors for the modified Swift-Hohenberg equation defined on R driven by both deterministic non-autonomous forcing and additive white noise are established. We first define a continuous cocycle for the equation in L(R), and we prove the existence of pullback absorbing sets and the pullback asymptotic compactness of solutions when the eq...