9,548 research outputs found
Effective action in DSR1 quantum field theory
We present the one-loop effective action of a quantum scalar field with DSR1
space-time symmetry as a sum over field modes. The effective action has real
and imaginary parts and manifest charge conjugation asymmetry, which provides
an alternative theoretical setting to the study of the particle-antiparticle
asymmetry in nature.Comment: 8 page
Scaling laws and universality in the choice of election candidates
Nowadays there is an increasing interest of physicists in finding
regularities related to social phenomena. This interest is clearly motivated by
applications that a statistical mechanical description of the human behavior
may have in our society. By using this framework, we address this work to cover
an open question related to elections: the choice of elections candidates
(candidature process). Our analysis reveals that, apart from the social
motivations, this system displays features of traditional out-of-equilibrium
physical phenomena such as scale-free statistics and universality. Basically,
we found a non-linear (power law) mean correspondence between the number of
candidates and the size of the electorate (number of voters), and also that
this choice has a multiplicative underlying process (lognormal behavior). The
universality of our findings is supported by data from 16 elections from 5
countries. In addition, we show that aspects of network scale-free can be
connected to this universal behavior.Comment: Accepted for publication in EP
On the maximum bias functions of MM-estimates and constrained M-estimates of regression
We derive the maximum bias functions of the MM-estimates and the constrained
M-estimates or CM-estimates of regression and compare them to the maximum bias
functions of the S-estimates and the -estimates of regression. In these
comparisons, the CM-estimates tend to exhibit the most favorable
bias-robustness properties. Also, under the Gaussian model, it is shown how one
can construct a CM-estimate which has a smaller maximum bias function than a
given S-estimate, that is, the resulting CM-estimate dominates the S-estimate
in terms of maxbias and, at the same time, is considerably more efficient.Comment: Published at http://dx.doi.org/10.1214/009053606000000975 in the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Chaotic Dynamics in Optimal Monetary Policy
There is by now a large consensus in modern monetary policy. This consensus
has been built upon a dynamic general equilibrium model of optimal monetary
policy as developed by, e.g., Goodfriend and King (1997), Clarida et al.
(1999), Svensson (1999) and Woodford (2003). In this paper we extend the
standard optimal monetary policy model by introducing nonlinearity into the
Phillips curve. Under the specific form of nonlinearity proposed in our paper
(which allows for convexity and concavity and secures closed form solutions),
we show that the introduction of a nonlinear Phillips curve into the structure
of the standard model in a discrete time and deterministic framework produces
radical changes to the major conclusions regarding stability and the efficiency
of monetary policy. We emphasize the following main results: (i) instead of a
unique fixed point we end up with multiple equilibria; (ii) instead of
saddle--path stability, for different sets of parameter values we may have
saddle stability, totally unstable equilibria and chaotic attractors; (iii) for
certain degrees of convexity and/or concavity of the Phillips curve, where
endogenous fluctuations arise, one is able to encounter various results that
seem intuitively correct. Firstly, when the Central Bank pays attention
essentially to inflation targeting, the inflation rate has a lower mean and is
less volatile; secondly, when the degree of price stickiness is high, the
inflation rate displays a larger mean and higher volatility (but this is
sensitive to the values given to the parameters of the model); and thirdly, the
higher the target value of the output gap chosen by the Central Bank, the
higher is the inflation rate and its volatility.Comment: 11 page
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