1,180 research outputs found
Specialization of strategies and herding behavior of trading firms in a financial market
The understanding of complex social or economic systems is an important
scientific challenge. Here we present a comprehensive study of the Spanish
Stock Exchange showing that most financial firms trading in that market are
characterized by a resulting strategy and can be classified in groups of firms
with different specialization. Few large firms overally act as trending firms
whereas many heterogeneous firm act as reversing firms. The herding properties
of these two groups are markedly different and consistently observed over a
four-year period of trading.Comment: 8 pages, 5 figure
Dissecting financial markets: Sectors and states
By analyzing a large data set of daily returns with data clustering
technique, we identify economic sectors as clusters of assets with a similar
economic dynamics. The sector size distribution follows Zipf's law. Secondly,
we find that patterns of daily market-wide economic activity cluster into
classes that can be identified with market states. The distribution of
frequencies of market states shows scale-free properties and the memory of the
market state process extends to long times ( days). Assets in the same
sector behave similarly across states. We characterize market efficiency by
analyzing market's predictability and find that indeed the market is close to
being efficient. We find evidence of the existence of a dynamic pattern after
market's crashes.Comment: 6 pages 4 figures. Additional information available at
http://www.sissa.it/dataclustering/fin
Anomalous diffusion and Tsallis statistics in an optical lattice
We point out a connection between anomalous quantum transport in an optical
lattice and Tsallis' generalized thermostatistics. Specifically, we show that
the momentum equation for the semiclassical Wigner function that describes
atomic motion in the optical potential, belongs to a class of transport
equations recently studied by Borland [PLA 245, 67 (1998)]. The important
property of these ordinary linear Fokker--Planck equations is that their
stationary solutions are exactly given by Tsallis distributions. Dissipative
optical lattices are therefore new systems in which Tsallis statistics can be
experimentally studied.Comment: 4 pages, 1 figur
Long-range memory model of trading activity and volatility
Earlier we proposed the stochastic point process model, which reproduces a
variety of self-affine time series exhibiting power spectral density S(f)
scaling as power of the frequency f and derived a stochastic differential
equation with the same long range memory properties. Here we present a
stochastic differential equation as a dynamical model of the observed memory in
the financial time series. The continuous stochastic process reproduces the
statistical properties of the trading activity and serves as a background model
for the modeling waiting time, return and volatility. Empirically observed
statistical properties: exponents of the power-law probability distributions
and power spectral density of the long-range memory financial variables are
reproduced with the same values of few model parameters.Comment: 12 pages, 5 figure
A new look inside Planetary Nebula LoTr 5: A long-period binary with hints of a possible third component
LoTr 5 is a planetary nebula with an unusual long-period binary central star.
As far as we know, the pair consists of a rapidly rotating G-type star and a
hot star, which is responsible for the ionization of the nebula. The rotation
period of the G-type star is 5.95 days and the orbital period of the binary is
now known to be 2700 days, one of the longest in central star of
planetary nebulae. The spectrum of the G central star shows a complex H
double-peaked profile which varies with very short time scales, also reported
in other central stars of planetary nebulae and whose origin is still unknown.
We present new radial velocity observations of the central star which allow us
to confirm the orbital period for the long-period binary and discuss the
possibility of a third component in the system at 129 days to the G star.
This is complemented with the analysis of archival light curves from SuperWASP,
ASAS and OMC. From the spectral fitting of the G-type star, we obtain a
effective temperature of = 5410250 K and surface gravity of
= 2.70.5, consistent with both giant and subgiant stars. We also
present a detailed analysis of the H double-peaked profile and conclude
that it does not present correlation with the rotation period and that the
presence of an accretion disk via Roche lobe overflow is unlikely.Comment: 12 pages, 12 figures, accepted for publication in MNRA
Edwards-Wilkinson surface over a spherical substrate: noise in the height fluctuations
We study the steady state fluctuations of an Edwards-Wilkinson type surface
with the substrate taken to be a sphere. We show that the height fluctuations
on circles at a given latitude has the effective action of a perfect Gaussian
noise, just as in the case of fixed radius circles on an infinite planar
substrate. The effective surface tension, which is the overall coefficient of
the action, does not depend on the latitude angle of the circles.Comment: 6 page
Anomalous Spreading of Power-Law Quantum Wave Packets
We introduce power-law tail quantum wave packets. We show that they can be
seen as eigenfunctions of a Hamiltonian with a physical potential. We prove
that the free evolution of these packets presents an asymptotic decay of the
maximum of the wave packets which is anomalous for an interval of the
characterizing power-law exponent. We also prove that the number of finite
moments of the wave packets is a conserved quantity during the evolution of the
wave packet in the free space.Comment: 5 pages, 3 figures, to appear in Phys. Rev. Let
Hierarchically nested factor model from multivariate data
We show how to achieve a statistical description of the hierarchical
structure of a multivariate data set. Specifically we show that the similarity
matrix resulting from a hierarchical clustering procedure is the correlation
matrix of a factor model, the hierarchically nested factor model. In this
model, factors are mutually independent and hierarchically organized. Finally,
we use a bootstrap based procedure to reduce the number of factors in the model
with the aim of retaining only those factors significantly robust with respect
to the statistical uncertainty due to the finite length of data records.Comment: 7 pages, 5 figures; accepted for publication in Europhys. Lett. ; the
Appendix corresponds to the additional material of the accepted letter
Alignment of Nonspherical Active Particles in Chaotic Flows
We study the orientation statistics of spheroidal, axisymmetric
microswimmers, with shapes ranging from disks to rods, swimming in chaotic,
moderately turbulent flows. Numerical simulations show that rod-like active
particles preferentially align with the flow velocity. To explain the
underlying mechanism we solve a statistical model via perturbation theory. We
show that such alignment is caused by correlations of fluid velocity and its
gradients along particle paths combined with fore-aft symmetry breaking due to
both swimming and particle nonsphericity. Remarkably, the discovered alignment
is found to be a robust kinematical effect, independent of the underlying flow
evolution. We discuss its possible relevance for aquatic ecology.Comment: 5 pages, 3 figures, Supplements in Ancillary directory, accepted in
Physical Review Letter
Calibration of optimal execution of financial transactions in the presence of transient market impact
Trading large volumes of a financial asset in order driven markets requires
the use of algorithmic execution dividing the volume in many transactions in
order to minimize costs due to market impact. A proper design of an optimal
execution strategy strongly depends on a careful modeling of market impact,
i.e. how the price reacts to trades. In this paper we consider a recently
introduced market impact model (Bouchaud et al., 2004), which has the property
of describing both the volume and the temporal dependence of price change due
to trading. We show how this model can be used to describe price impact also in
aggregated trade time or in real time. We then solve analytically and calibrate
with real data the optimal execution problem both for risk neutral and for risk
averse investors and we derive an efficient frontier of optimal execution. When
we include spread costs the problem must be solved numerically and we show that
the introduction of such costs regularizes the solution.Comment: 31 pages, 8 figure
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