Back to the future? Habits and rational addiction in UK tobacco and alcohol demand.

This paper develops a dynamic modeling approach for the Almost Ideal Demand System, which is consistent with the rational addiction theory. The forward-looking hypothesis is combined with that of convex adjustment costs in the presence of non-stationary cointegrated variables. Estimation is based on a two-step strategy based on cointegration and GMM techniques. Results on UK tobacco and alcohol demand support the adopted specifications and highlight the degree of complementarity between addictive goods.

Time decay of scaling invariant Schroedinger equations on the plane

We prove the sharp L^1-L^{\infty} time-decay estimate for the 2D-Schroedinger equation with a general family of scaling critical electromagnetic potentials.Comment: 26 page

ICE Second Halley radial: TDA mission support and DSN operations

The article documents the operations encompassing the International Cometary Explorer (ICE) second Halley radial experiment centered around March 28, 1986. The support was provided by the Deep Space Network (DSN) 64-meter subnetwork. Near continuous support was provided the last two weeks of March and the first two weeks of April to insure the collection of adequate background data for the Halley radial experiment. During the last week of March, plasma wave measurements indicate that ICE was within the Halley heavy ion pick-up region

Kato–Ponce estimates for fractional sublaplacians in the Heisenberg group

We give a proof of commutator estimates for fractional powers of the sublaplacian on the Heisenberg group. Our approach is based on pointwise and $L^p$ estimates involving square fractional integrals and Littlewood--Paley square functionsBERC 2022-2025 RYC2018-025477-I Ikerbasque PID2021-123034NB-I00 IT1615-2

The lack of compactness in the Sobolev–Strichartz inequalities

We provide a general method to decompose any bounded sequence in Ḣˢ into linear dispersive profiles generated by an abstract propagator, with a rest which is small in the associated Strichartz norms. The argument is quite different from the one proposed by Bahouri and Gérard and by Keraani in the cases of the wave and Schrödinger equations, and is adaptable to a large class of propagators, including those which are matrix-valued

Absence of eigenvalues of two-dimensional magnetic Schroedinger operators

By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schroedinger operator possesses no point spectrum. The settings of complex-valued electric potentials and singular magnetic potentials of Aharonov-Bohm field are also covered

Absence of eigenvalues of two-dimensional magnetic Schr ̈odinger operators

By developing the method of multipliers, we establish sufficient conditions on the electric potential and magnetic field which guarantee that the corresponding two-dimensional Schr ̈odinger operator possesses no point spectrum. The settings of complex-valued electric potentials and singular magnetic potentials of Aharonov-Bohm field are also covered