When breeding, male moor frogs Rana arvalis develop a bright blue dorsal coloration which varies in intensity between males. We tested whether this colour acts as a potential signal of a male's genetic quality to female moor frogs by artificially crossing pairs of males differing in the extent of the blue coloration to the same female. Maternalâ€¦ (More)

We prove an exact relationship between the optimal denoising function and the data distribution in the case of additive Gaussian noise, showing that denoising implicitly models the structure of data allowing it to be exploited in the unsupervised learning of representations. This result generalizes a known relationship [2], which is valid only in the limitâ€¦ (More)

The existence of a dynamo effect in a simplified magnetohydrodynamic model of turbulence is considered when the magnetic Prandtl number approaches zero or infinity. The magnetic field is interacting with an incompressible Kraichnan-Kasantzev model velocity field augmented with a viscous scale cutoff. An approximate system of equations in the differentâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2010

The steady-state existence problem for Kraichnan advected passive vector models is considered for isotropic and anisotropic initial values in arbitrary dimension. The models include the magnetohydrodynamic (MHD) equations, linear pressure model, and linearized Navier-Stokes (LNS) equations. In addition to reproducing the previously known results for the MHDâ€¦ (More)

Physical review. E, Statistical, nonlinear, andâ€¦

2009

An anisotropically forced passive vector model is analyzed at scales much smaller and larger than the forcing scale by solving exactly the equation for the pair correlation function. The model covers the cases of magnetohydrodynamic turbulence, the linear pressure model, and the linearized Navier-Stokes equations by choice of a simple parameter. Weâ€¦ (More)