Emergence of nonlinear behavior in the dynamics of ultracold bosons

We study the evolution of a system of interacting ultracold bosons, which presents nonlinear, chaotic, behaviors in the limit of very large number of particles. Using the spectral entropy as an indicator of chaos and three different numerical approaches : Exact diagonalization, truncated Husimi method and mean-field (Gross-Pitaevskii) approximation, we put into evidence the destructive impact of quantum noise on the emergence of the nonlinear dynamics

Decoherence effects in the dynamics of interacting ultracold bosons in disordered lattices

We study the interplay between disorder, interactions and decoherence induced by spontaneous emission process. Interactions are included in the Anderson model via a mean-field approximation, and a simple model for spontaneous emission is introduced. Numerical simulations allow us to study the effects of decoherence on different dynamical regimes. Physical pictures for the mechanisms at play are discussed and provide simple interpretations. Finally, we discuss the validity of scaling laws on the initial state width

HEDGING CROP RISK WITH YIELD INSURANCE FUTURES AND OPTIONS

This paper analyses the optimal hedging decisions for risk-averse producers facing crop risk, assuming crop yield insurance futures and options can be used. The first-best optimal hedge requires a futures position or an option position proportionate to the individual beta depending on whether the financial markets are perceived unbiased or biased. Using yield data for a sample of wheat producers in France, the producers' hedge ratios are derived. These new hedging instruments are more effective to reduce farm yield variability than the individual yield contracts, except if the individual yield guarantee is at least equal to the individual average yield.crop insurance, hedging position, incomplete markets, Marketing, Risk and Uncertainty,

WILLINGNESS TO PAY FOR AN INCREASE IN THE QUALITY OF DRINKING WATER: AN APPLICATION TO FRANCE

In this paper a method to infer the value for consumers of the quality of supplied water is presented and applied. It uses concepts developed in the literature of environmental good valuation and the literature of equivalence scale measurement. It is applied to French data.willingness to pay, drinking water, indirect observed method, Environmental Economics and Policy,

On the Dynamics of Induced Maps on the Space of Probability Measures

For the generic continuous map and for the generic homeomorphism of the Cantor space, we study the dynamics of the induced map on the space of probability measures, with emphasis on the notions of Li-Yorke chaos, topological entropy, equicontinuity, chain continuity, chain mixing, shadowing and recurrence. We also establish some results concerning induced maps that hold on arbitrary compact metric spaces.Comment: 23 page