Virial identity and weak dispersion for the magnetic Dirac equation (2009)
Boussaid, Nabile, D'Ancona, Piero, Fanelli, Luca
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates...
Estimation of Quasi-Rational DSGE monetary models (2009)
This paper proposes the estimation of small-scale dynamic stochastic general equilibrium (DSGE) monetary models under the quasi-rational expectations (QRE) hypothesis. The QRE-DSGE model is based on...
Counterexamples to Strichartz estimates for the magnetic Schroedinger equation (2009)
In space dimension $n\geq3$, we consider the magnetic Schr\"odinger Hamiltonian $H=-(\nabla-iA(x))^2$ and the corresponding Schr\"odinger equation i\partial_tu+Hu=0. We show some explicit examples of...
Endpoint Strichartz estimates for the magnetic Schrodinger equation (2009)
D'Ancona, Piero, Fanelli, Luca, Vega, Luis, Visciglia, Nicola
We prove Strichartz estimates for the Schroedinger equation with an electromagnetic potential, in dimension $n\geq3$. The decay and regularity assumptions on the potentials are almost critical, i.e.,...
Virial identity and weak dispersion for the magnetic Dirac equation (2009)
Boussaid, Nabile, D'Ancona, Piero, Fanelli, Luca
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates...
Virial identity and weak dispersion for the magnetic Dirac equation (2009)
Boussaid, Nabile, D'Ancona, Piero, Fanelli, Luca
We analyze the dispersive properties of a Dirac system perturbed with a magnetic field. We prove a general virial identity; as applications, we obtain smoothing and endpoint Strichartz estimates...
Non-trapping magnetic fields and Morrey-Campanato estimates for Schroedinger operators (2008)
We prove some uniform in $\epsilon$ a priori estimates for solutions of the equation $$(\nabla-iA)^2u-V(x)u+(\lambda\pm i\epsilon)u=f, \lambda\geq0, \epsilon\neq0.$$ The estimates are obtained in...
Smoothing estimates for the Schrodinger equation with unbounded potentials (2008)
D'Ancona, Piero, Fanelli, Luca
We prove a local in time smoothing estimate for a magnetic Schrodinger equation with coefficients growing polynomially at spatial infinity. The assumptions on the magnetic field are gauge invariant...
Magnetic virial identities, weak dispersion and Strichartz inequalities (2008)
We show a family of virial-type identities for the Schr\"odinger and wave equations with electromagnetic potentials. As a consequence, some weak dispersive inequalities in space dimension $n\geq3$,...
Rational Addiction, Cointegration and Tobacco and Alcohol Demand (2008)
Fanelli, Luca, Mazzocchi, Mario
In this paper we embed the Almost Ideal Demand System within a dynamic disequilibrium model, and derive a set of interrelated Euler equations which characterizes optimal consumption allocations under...
Speed of Adjustment in Cointegrated Systems (2007)
This paper considers the speed of adjustment to long-run equilibria, in the context of cointegrated Vector Autoregressive Processes (VAR). We discuss the definition of multivariate p-lives for any...
On the blow-up threshold for weakly coupled nonlinear Schroedinger equations (2007)
Fanelli, Luca, Montefusco, Eugenio
We study the Cauchy problem for a system of two coupled nonlinear focusing Schroedinger equations arising in nonlinear optics. We discuss when the solutions are global in time or blow-up in finite...
Strichartz and smoothing estimates for dispersive equations with magnetic potentials (2007)
D'Ancona, Piero, Fanelli, Luca
We prove global smoothing and Strichartz estimates for the Schroedinger, wave, Klein-Gordon equations and for the massless and massive Dirac systems, perturbed with singular electromagnetic...
The L^p-continuity of the wave operators for the three dimensional Schroedinger operator (2007)
This paper has been withdrawn, because of an error in the proof of the main Theorem
Evaluating the New Keynesian Phillips Curve under VAR-based learning (2007)
This paper proposes the evaluation of the New Keynesian Phillips Curve (NKPC) under a new learning mechanism where VAR learning dynamics is combined with the idea of testing the validity of the...
Present value relations, Granger non-causality and VAR stability (2006)
When in "exact" present value (PV) relations the decision variables do not Granger cause the explanatory variables and a VAR process is used to derive restrictions, the system embodies explosive...
In this paper we set out a test of the New Keynesian Phillips Curve (NKPC) based on Vector Autoregressive (VAR) models. The proposed technique does not rely on the Anderson and Moore (1985) method...
Risk sharing, avversione al rischio e stabilizzazione delle economie regionali in Italia. (2006)
Gardini, Attilio, Cavaliere, Giuseppe, Fanelli, Luca
In questo lavoro l'analisi del risck sharing tra le regioni italiane rispetto alle fluttuzioni economiche regionali di lungo e di breve periodo viene affrontata facendo ricorso a modelli...
International dynamic risk sharing (2006)
Cavaliere, Giuseppe, Fanelli, Luca, Gardini, Attilio
In this paper we examine the formal implications of international risk sharing among a set of countries in the presence of market frictions and forward-looking behaviour. We show that if frictions...
L^p boundedness of the wave operator for the one dimensional Schroedinger operator (2005)
D'Ancona, Piero, Fanelli, Luca
Given a one dimensional perturbed Schroedinger operator H=-(d/dx)^2+V(x) we consider the associated wave operators W_+, W_- defined as the strong L^2 limits as s-> \pm\infty of the operators e^{isH}...
Decay estimates for the wave and Dirac equations with a magnetic potential (2005)
D'Ancona, Piero, Fanelli, Luca
We study the dispersive properties of the wave equation and the massless Dirac equation in three space dimensions, perturbed with electromagnetic potentials. The potentials are assumed to be small...
This paper addresses the issue of testing the 'hybrid' New Keynesian Phillips Curve (NKPC) through Vector Autoregressive (VAR) systems and likelihood methods, giving special emphasis to the case...
This paper addresses the issue of testing the 'hybrid' New Keynesian Phillips Curve (NKPC) through Vector Autoregressive (VAR) systems and likelihood methods, giving special emphasis to the case...
Consumption risk sharing and adjustment costs (2004)
Fanelli, Luca, Cavaliere, Giuseppe, Gardini, Attilio
We show that full risk sharing may not be at odd with the idea that changes in regional consumption display error-correcting dynamics, in line with the idea that information and transaction costs...
In this paper we set out a test of the New Keynesian Phillips Curve (NKPC) based on Vector Autoregressive (VAR) models. The proposed technique does not rely on the Anderson and Moore (1985) method...
The critical case for a semilinear weakly hyperbolic equation (2004)
We prove a global existence result for the Cauchy problem, in the three-dimensional space, associated with the equation $$ u_{tt}-a_lambda(t) Delta_x u=-u|u|^{p(lambda)-1} $$ where $a_lambda(t)ge 0$...
Back to the future? Habits and rational addiction in UK tobacco and alcohol demand. (2004)
This paper develops a feasible dynamic modelling approach for the Almost Ideal Demand System, which is consistent with the rational addiction theory. The forward-looking hypothesis is combined with...
Risk sharing, avversione al rischio e stabilizzazione delle economie regionali in Italia (2003)
Gardini, Attilio, Cavaliere, Giuseppe, Fanelli, Luca
In questo lavoro l'analisi del risck sharing tra le regioni italiane rispetto alle fluttuzioni economiche regionali di lungo e di breve periodo viene affrontata facendo ricorso a modelli...
Testing the purchasing power parity through I(2) cointegration techniques
Luca Fanelli, Emanuele Bacchiocchi
This paper contributes to the empirical literature on the purchasing power parity (PPP) over the post-Bretton Woods period by providing a time-series based interpretation of the controversial...
Evaluating the New Keynesian Phillips Curve under VAR-based learning
This paper proposes the evaluation of the New Keynesian Phillips Curve (NKPC) under a new learning mechanism where VAR learning dynamics is combined with the idea of testing the validity of the...
This paper addresses the issue of testing the 'hybrid' New Keynesian Phillips Curve (NKPC) through Vector Autoregressive (VAR) systems and likelihood methods, giving special emphasis to the case...
International dynamic risk sharing
Giuseppe Cavaliere, Luca Fanelli, Attilio Gardini
In this paper we examine the implications of international risk sharing among a set of countries in the presence of market frictions which complicate the instantaneous adjustment to the first-order...
Dynamic adjustment cost models with forward-looking behaviour
In this paper we propose a new approach for dynamic decision problems where forward-looking agents choose a set of non-stationary variables subject to quadratic adjustment costs. It is assumed that...
Simulation-Based Tests of;Forward-Looking Models Under VAR Learning Dynamics
In this paper we propose simulation-based techniques to investigate the finite;sample performance of likelihood ratio (LR) tests for the nonlinear restrictions;that arise when a class of...
International dynamic risk sharing
Giuseppe Cavaliere, Luca Fanelli, Attilio Gardini
In this paper we examine the formal implications of international risk sharing among a set of countries in the presence of market frictions and forward-looking behaviour. We show that if frictions...
Risk sharing, avversione al rischio e stabilizzazione delle economie regionali in Italia.
Attilio Gardini, Giuseppe Cavaliere, Luca Fanelli
We investigate the occurrence of risk sharing among Italian regions with respect to both long run and short run income fluctuations by means of Vector Equilibrium Correction Models (VEqCMs) which...
In this paper we set out a test of the New Keynesian Phillips Curve (NKPC) based on Vector Autoregressive (VAR) models. The proposed technique does not rely on the Anderson and Moore (1985) method...
This paper addresses the issue of testing the 'hybrid' New Keynesian Phillips curve (NKPC) through vector autoregressive (VAR) systems and likelihood methods, giving special emphasis to the case...
PRESENT VALUE RELATIONS, GRANGER NONCAUSALITY, AND VAR STABILITY
When in the class of exact present value (PV) relations the decision variables do not Granger cause the explanatory variables, and a vector autoregressive (VAR) process is used to derive the...
Estimating Multi-Equational LQAC Models with I(1) Variables: a VAR Approach
This paper extends the existing literature on linear quadratic adjustment cost (LQAC) models under rational expectations to the inferential issues arising when: (i) agents optimise with respect to a...
Evaluating the New Keynesian Phillips Curve under VAR-Based Learning
This paper proposes the econometric evaluation of the New Keynesian Phillips Curve (NKPC) in the euro area, under a particular specification of the adaptive learning hypothesis. The key assumption is...
Speed of Adjustment in Cointegrated Systems
This paper considers the speed of adjustment to long-run equilibria, in the context of cointegrated Vector Autoregressive Processes (VAR). We discuss the definition of multivariate p-lives for any...
Consumption risk sharing and adjustment costs
Fanelli, Luca, Cavaliere, Giuseppe, Gardini, Attilio
We show that full risk sharing may not be at odd with the idea that changes in regional consumption display error-correcting dynamics, in line with the idea that information and transaction costs...
Present value relations, Granger non-causality and VAR stability
When in "exact" present value (PV) relations the decision variables do not Granger cause the explanatory variables and a VAR process is used to derive restrictions, the system embodies explosive...
Evaluating New Keynesian Phillips Curve under VAR-Based Learning
This paper proposes an econometric evaluation of the New Keynesian Phillips Curve (NKPC) in the euro area, under a particular specification of the adaptive learning hypothesis. The key assumption is...
PRESENT VALUE RELATIONS, GRANGER NONCAUSALITY, AND VAR STABILITY
When in the class of exact present value (PV) relations the decision variables do not Granger cause the explanatory variables, and a vector autoregressive (VAR) process is used to derive the...
Risk sharing, avversione al rischio e stabilizzazione delle economie regionali in Italia.
Attilio Gardini, Giuseppe Cavaliere, Luca Fanelli
We investigate the occurrence of risk sharing among Italian regions with respect to both long run and short run income fluctuations by means of Vector Equilibrium Correction Models (VEqCMs) which...
In this paper we set out a test of the New Keynesian Phillips Curve (NKPC) based on Vector Autoregressive (VAR) models. The proposed technique does not rely on the Anderson and Moore (1985) method...
International dynamic risk sharing
Giuseppe Cavaliere, Luca Fanelli, Attilio Gardini
In this paper we examine the formal implications of international risk sharing among a set of countries in the presence of market frictions and forward-looking behaviour. We show that if frictions...
Tests for cointegration rank and choice of the alternative
Giuseppe Cavaliere, Luca Fanelli, Paolo Paruolo
Cointegration rank, Likelihood ratio, Asymptotic power, Unit roots, Brownian motion,
Estimation of quasi-rational DSGE monetary models
This paper proposes the estimation of small-scale dynamic stochastic general equilibrium (DSGE) monetary models under the quasi-rational expectations (QRE) hypothesis. The QRE-DSGE model is based on...