1,573 research outputs found
Recurrence spectrum in smooth dynamical systems
We prove that for conformal expanding maps the return time does have constant
multifractal spectrum. This is the counterpart of the result by Feng and Wu in
the symbolic setting
Social diversity and promotion of cooperation in the spatial prisoner's dilemma game
The diversity in wealth and social status is present not only among humans,
but throughout the animal world. We account for this observation by generating
random variables that determ ine the social diversity of players engaging in
the prisoner's dilemma game. Here the term social diversity is used to address
extrinsic factors that determine the mapping of game pay offs to individual
fitness. These factors may increase or decrease the fitness of a player
depending on its location on the spatial grid. We consider different
distributions of extrin sic factors that determine the social diversity of
players, and find that the power-law distribution enables the best promotion of
cooperation. The facilitation of the cooperative str ategy relies mostly on the
inhomogeneous social state of players, resulting in the formation of
cooperative clusters which are ruled by socially high-ranking players that are
able to prevail against the defectors even when there is a large temptation to
defect. To confirm this, we also study the impact of spatially correlated
social diversity and find that coopera tion deteriorates as the spatial
correlation length increases. Our results suggest that the distribution of
wealth and social status might have played a crucial role by the evolution of
cooperation amongst egoistic individuals.Comment: 5 two-column pages, 5 figure
Equilibrium states for potentials with \sup\phi - \inf\phi < \htop(f)
In the context of smooth interval maps, we study an inducing scheme approach
to prove existence and uniqueness of equilibrium states for potentials
with he `bounded range' condition \sup \phi - \inf \phi < \htop, first used
by Hofbauer and Keller. We compare our results to Hofbauer and Keller's use of
Perron-Frobenius operators. We demonstrate that this `bounded range' condition
on the potential is important even if the potential is H\"older continuous. We
also prove analyticity of the pressure in this context.Comment: Added Lemma 6 to deal with the disparity between leading eigenvalues
and operator norms. Added extra references and corrected some typo
Comparison of personality traits among patients with psoriasis, atopic dermatitis, and stress: a pilot study
Background: Psoriasis and atopic dermatitis are chronic skin diseases that greatly affect the quality of life. Both diseases can be triggered or exacerbated by stress.
Objective: We aimed to differentiate personality traits between patients with chronic skin conditions and people treated for stress in a pilot study.
Methods: Patients participating voluntarily in educational programs in Belgium and Switzerland were recruited to complete personality trait questionnaires, including the Temperament and Character Inventory (TCI) and the Tridimensional Personality Questionnaire (TPQ). A comparison was made with patients treated for work-related stress.
Results: A total of 48 and 91 patients suffering from skin diseases and work-related stress, respectively, were included in the study. Based on the questionnaires, we found that dermatology patients were less persistent and impulsive than those with work-related stress. Dermatology patients also exhibited more rigidness and less focus on performance. Finally, patients with work-related stress seem more likely to change in response to health-promoting programs than patients with chronic dermatoses.
Conclusion: Patients with chronic skin diseases may perceive and cope with stress differently in comparison to patients with work-related stress due to inherent personality traits. Therefore, stress coping mechanisms may differ among different diseases. More research is needed into the design of educational interventions and the impact of personality traits in disease-specific groups
State Differentiation by Transient Truncation in Coupled Threshold Dynamics
Dynamics with a threshold input--output relation commonly exist in gene,
signal-transduction, and neural networks. Coupled dynamical systems of such
threshold elements are investigated, in an effort to find differentiation of
elements induced by the interaction. Through global diffusive coupling, novel
states are found to be generated that are not the original attractor of
single-element threshold dynamics, but are sustained through the interaction
with the elements located at the original attractor. This stabilization of the
novel state(s) is not related to symmetry breaking, but is explained as the
truncation of transient trajectories to the original attractor due to the
coupling. Single-element dynamics with winding transient trajectories located
at a low-dimensional manifold and having turning points are shown to be
essential to the generation of such novel state(s) in a coupled system.
Universality of this mechanism for the novel state generation and its relevance
to biological cell differentiation are briefly discussed.Comment: 8 pages. Phys. Rev. E. in pres
Dephasing of quantum dot exciton polaritons in electrically tunable nanocavities
We experimentally and theoretically investigate dephasing of zero dimensional
microcavity polaritons in electrically tunable single dot photonic crystal
nanocavities. Such devices allow us to alter the dot-cavity detuning in-situ
and to directly probe the influence on the emission spectrum of varying the
incoherent excitation level and the lattice temperature. By comparing our
results with theory we obtain the polariton dephasing rate and clarify its
dependence on optical excitation power and lattice temperature. For low
excitation levels we observe a linear temperature dependence, indicative of
phonon mediated polariton dephasing. At higher excitation levels, excitation
induced dephasing is observed due to coupling to the solid-state environment.
The results provide new information on coherence properties of quantum dot
microcavity polaritons.Comment: Figure 2, panel (b) changed to logarithmic + linear scal
Complementarity and diversity in a soluble model ecosystem
Complementarity among species with different traits is one of the basic
processes affecting biodiversity, defined as the number of species in the
ecosystem. We present here a soluble model ecosystem in which the species are
characterized by binary traits and their pairwise interactions follow a
complementarity principle. Manipulation of the species composition, and so the
study of its effects on the species diversity is achieved through the
introduction of a bias parameter favoring one of the traits. Using statistical
mechanics tools we find explicit expressions for the allowed values of the
equilibrium species concentrations in terms of the control parameters of the
model
Metastability and anomalous fixation in evolutionary games on scale-free networks
We study the influence of complex graphs on the metastability and fixation
properties of a set of evolutionary processes. In the framework of evolutionary
game theory, where the fitness and selection are frequency-dependent and vary
with the population composition, we analyze the dynamics of snowdrift games
(characterized by a metastable coexistence state) on scale-free networks. Using
an effective diffusion theory in the weak selection limit, we demonstrate how
the scale-free structure affects the system's metastable state and leads to
anomalous fixation. In particular, we analytically and numerically show that
the probability and mean time of fixation are characterized by stretched
exponential behaviors with exponents depending on the network's degree
distribution.Comment: 5 pages, 4 figures, to appear in Physical Review Letter
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