The role of chromosome changes in speciation remains a debated topic, although demographic conditions associated with divergence should promote their appearance. We tested a potential relationship between chromosome changes and speciation by studying two Lake Whitefish (Coregonus clupeaformis) lineages that recently colonized postglacial lakes following allopatry. A dwarf limnetic species evolv...

In this paper, I present the calculation of the third and fourth moments of both the distribution function of the large–scale density and the large–scale divergence of the velocity field, θ. These calculations are made by the mean of perturbative calculations assuming Gaussian initial conditions and are expected to be valid in the linear or quasi linear regime. The moments are derived for a top...

Generative adversarial networks (GAN) have become popular for generating data that mimic observations by learning a suitable variable transformation from a random variable. However, empirically, GAN is known to suffer from instability. Also, the theory provided based on the minimax optimization formulation of GAN cannot explain the widely-used practical procedure that uses the so-called logd tr...

Three series of experiments were conducted on vertical clamped-clamped cylinders in order to observe experimentally the dynamical behaviour of the system, and the results are compared with theoretical predictions. In the first series of experiments, the downstream end of the clamped-clamped cylinder was free to slide axially, while in the second, the downstream end was fixed; the influence of e...

This paper studies the complexity of estimating Renyi divergences of a distribution p observed from samples, with respect to a baseline distribution q known a priori. Extending the results of Acharya et al. (SODA’15) on estimating Renyi entropy, we present improved estimation techniques together with upper and lower bounds on the sample complexity. We show that, contrarily to estimating Renyi e...

Subsequent to the ideas presented in our previous papers [J., we discuss here in detail a new analytical approach to calculating the phase-diagram for the Anderson localization in arbitrary spatial dimensions. The transition from delocalized to localized states is treated as a generalized diffusion which manifests itself in the divergence of averages of wavefunctions (correlators). This diverge...

In this paper, the commensurate fractional-order variant of an Hopfield neuronal network is analyzed. The system integrated with ABM method for equations. Beside standard stability analysis equilibria, divergence fractional order proposed to determine instability equilibria. bifurcation diagrams versus order, and one parameter, reveal a strange phenomenon suggesting that branches generated by i...