3 papers
math.SP1998
Growth and spectrum of diffusions
Lino Notarantonio
We prove an upper bound on the bottom of the essential spectrum of a diffusion in term of the growth of the volume of , generalizing a result by R. Brooks.
math.SP1998
Spectrum of compact manifolds with high genus
Lino Notarantonio
In this paper we study the behavior of the spectrum of a compact, connected Riemannian manifold of dimension , when we add an increasing number of increasingly sma…
math.SP1998
Extremal properties of the first eigenvalue of Schrödinger-type operators
Lino Notarantonio
Given a separable, locally compact Hausdorff space and a positive Radon measure on it, we study the problem of finding the potential that maximizes the fir…