Push sum with transmission failures

The push-sum algorithm allows distributed computing of the average on a directed graph, and is particularly relevant when one is restricted to one-way and/or asynchronous communications. We investigate its behavior in the presence of unreliable communication channels where messages can be lost. We show that exponential convergence still holds and deduce fundamental properties that implicitly describe the distribution of the final value obtained. We analyze the error of the final common value we get for the essential case of two nodes, both theoretically and numerically. We provide performance comparison with a standard consensus algorithm

An estimated DSGE model of the Hungarian economy

This paper presents and estimates a dynamic stochastic general equilibrium (DSGE) small-open-economy model for the Hungarian economy. The model features different types of frictions, real and nominal rigidities which are necessary to replicate the empirical persistence of Hungarian data. Bayesian methods are applied, and the structural break due to changing monetary regime over the studied period is explicitly taken into account in the estimation procedure. A real-time adaptive learning mechanism describes agents’ perception on underlying inflation. This creates an additional inertia in inflation. We describe the properties of the estimated model by impulse-response analysis, variance decomposition and the analysis of identified structural shocks. Our results are compared with that of estimated euro-area DSGE models, and estimated non-DSGE models of the Hungarian economy. As a robustness check, a model without real time adaptive learning is also estimated and it’s results are also compared to those of the original model.New Keynesian models, DSGE models, small open economy, Bayesian econometrics.

The three-dimensional carrier-envelope-phase map of focused few-cycle pulsed Gaussian beams

We derive an analytical expression that describes the complete three-dimensional carrier-envelope phase (CEP) distribution of in the focal volume of ultrashort pulsed Gaussian beams focused by spherical mirrors or lenses. The focal CEP map depends on the so-called factor $g$ specifying the frequency-dependence of the beam width of the source few-cycle pulse, on its chirp and on the small chromatic aberration introduced by a lens without appreciably distorting or broadening the few-cycle pulse. We show how to tailor the CEP map of mirror-focused and lens-focused few-cycle pulses in order to produce negligible transversal and axial CEP variations in specific regions of the focal volume for phase-sensitive interactions of light with matter taking place in a volume or on a surface. We propose a quasi-achromatic doublet lens that can implement in practice these tailored CEP distributions.Comment: 9 pages, 6 figure

The pseudogap phase in (TaSe_4)_2I

We have developed the mean-field theory of coexisting charge-density waves (CDW) and unconventional charge-density waves (UCDW). The double phase transition manifests itself in the thermodynamic quantities and in the magnetic response, such as spin susceptibility and spin-lattice relaxation rate. Our theory applies to quasi-one dimensional (TaSe_4)_2I, where above the CDW transition, thermal fluctuations die out rapidly, but robust pseudogap behaviour is still detected. We argue, that the fluctuations are suppressed due to UCDW, which partially gaps the Fermi surface, and causes non-Fermi-liquid (pseudogap) behaviour.Comment: 7 pages, 6 figure

Rabi Oscillations in Landau-Quantized Graphene

We investigate the relation between the canonical model of quantum optics, the Jaynes-Cummings Hamiltonian and Dirac fermions in quantizing magnetic field. We demonstrate that Rabi oscillations are observable in the optical response of graphene, providing us with a transparent picture about the structure of optical transitions. While the longitudinal conductivity reveals chaotic Rabi oscillations, the Hall component measures coherent ones. This opens up the possibility of investigating a microscopic model of a few quantum objects in a macroscopic experiment with tunable parameters.Comment: 5 pages, 4 figure

Realist Phenomenology and Philosophy of Religion. A Critical Reflection

The aim of the present paper is to show that Catholicism is not a closed segment of contemporary philosophy but rather a rich source of traditions and developments which are alive even today and can help to understand our philosophical situation and contribute to a renaissance of influential philosophy in our culture. In more detail, I shall focus on the importance of Catholic philosophy in its history and present day situation as part and parcel of our general philosophical traditions. I offer a list of models describing the possible relationships between Catholicism and philosophy. I identify the unity model as a model connected to phenomenological realism; and I will detail the important contribution of Josef Seifert to such a phenomenological realism. Phenomenological realism as an expression is offered here as a modification of realist phenomenology, a modification based on the recognition of what I term the entangled nature of reality