output
19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

Showing 2017Show all

6 papers · 1 filter

math.AP2017★ 2 cited

Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball

Rui A. C. Ferreira

In this work we extend a recent result by Dyda et. al. [B. Dyda, A. Kuznetsov, M. Kwasnicki, Eigenvalues of the fractional Laplace equation in the unit ball, J. Lond. Math. Soc. (2…

math.CO2017★ 16 cited

Toeplitz minors and specializations of skew Schur polynomials

David García-García, Miguel Tierz

We express minors of Toeplitz matrices of finite and large dimension in terms of symmetric functions. Comparing the resulting expressions with the inverses of some Toeplitz matrice…

math.PR2017★ 7 cited

An entropic interpolation problem for incompressible viscid fluids

Marc Arnaudon, Ana Bela Cruzeiro, Christian Léonard +1

In view of studying incompressible inviscid fluids, Brenier introduced in the late 80's a relaxation of a geodesic problem addressed by Arnold in 1966. Instead of inviscid fluids,…

math.AP2017★ 25 cited

On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators

Francesco Della Pietra, Nunzia Gavitone, Gianpaolo Piscitelli

Let be a bounded open set of , . In this paper we mainly study some properties of the second Dirichlet eigenvalue of the anisotropic -Lap…

math.SP2017★ 40 cited

Edge connectivity and the spectral gap of combinatorial and quantum graphs

Gregory Berkolaiko, James B. Kennedy, Pavel Kurasov +1

We derive a number of upper and lower bounds for the first nontrivial eigenvalue of a finite quantum graph in terms of the edge connectivity of the graph, i.e., the minimal number…

math.CA2017

A new look at Bernoulli's inequality

Rui A. C. Ferreira

In this work, a generalization of the well known Bernoulli inequality is obtained by using the theory of discrete fractional calculus. As far as we know our approach is novel.