23 research outputs found
How does the market react to your order flow?
We present an empirical study of the intertwined behaviour of members in a
financial market. Exploiting a database where the broker that initiates an
order book event can be identified, we decompose the correlation and response
functions into contributions coming from different market participants and
study how their behaviour is interconnected. We find evidence that (1) brokers
are very heterogeneous in liquidity provision -- some are consistently
liquidity providers while others are consistently liquidity takers. (2) The
behaviour of brokers is strongly conditioned on the actions of {\it other}
brokers. In contrast brokers are only weakly influenced by the impact of their
own previous orders. (3) The total impact of market orders is the result of a
subtle compensation between the same broker pushing the price in one direction
and the liquidity provision of other brokers pushing it in the opposite
direction. These results enforce the picture of market dynamics being the
result of the competition between heterogeneous participants interacting to
form a complicated market ecology.Comment: 22 pages, 5+9 figure
Comment on ``Deterministic equations of motion and phase ordering dynamics''
Zheng [Phys. Rev. E {\bf 61}, 153 (2000), cond-mat/9909324] claims that phase
ordering dynamics in the microcanonical model displays unusual scaling
laws. We show here, performing more careful numerical investigations, that
Zheng only observed transient dynamics mostly due to the corrections to scaling
introduced by lattice effects, and that Ising-like (model A) phase ordering
actually takes place at late times. Moreover, we argue that energy conservation
manifests itself in different corrections to scaling.Comment: 5 pages, 4 figure
Absorbing Phase Transitions of Branching-Annihilating Random Walks
The phase transitions to absorbing states of the branching-annihilating
reaction-diffusion processes mA --> (m+k)A, nA --> (n-l)A are studied
systematically in one space dimension within a new family of models. Four
universality classes of non-trivial critical behavior are found. This provides,
in particular, the first evidence of universal scaling laws for pair and
triplet processes.Comment: 4 pages, 4 figure
Phase-ordering and persistence: relative effects of space-discretization, chaos, and anisotropy
The peculiar phase-ordering properties of a lattice of coupled chaotic maps
studied recently (A. Lema\^\i tre & H. Chat\'e, {\em Phys. Rev. Lett.} {\bf
82}, 1140 (1999)) are revisited with the help of detailed investigations of
interface motion. It is shown that ``normal'', curvature-driven-like domain
growth is recovered at larger scales than considered before, and that the
persistence exponent seems to be universal. Using generalized persistence
spectra, the properties of interface motion in this deterministic, chaotic,
lattice system are found to ``interpolate'' between those of the two canonical
reference systems, the (probabilistic) Ising model, and the (deterministic),
space-continuous, time-dependent Ginzburg-Landau equation.Comment: 13 pages, to be published in Physica