Our aim is to present a version of short extenders forcing which splits between cardinals above and below the critical cardinal and allows to blow up the power arbitrary higher. 1 The Main Preparation Forcing The definition of the forcing below follows the ideas of [1], [2], [3], [4]. We extend the method of [4] to gaps up to κ. The forcing adds a certain kind of a simplified morass with linear...

Our aim is to present a version of short extenders forcing which splits between cardinals above and below the critical cardinal and allows to blow up the power arbitrary higher. 1 The Main Preparation Forcing The definition of the forcing below follows the ideas of [1], [2], [3], [4]. We extend the method of [4] to gaps up to κ. The forcing adds a certain kind of a simplified morass with linear...

There are at least three distinct timescales that are relevant for the evolution of atmospheric convection. These are the timescale of the forcing mechanism, the timescale governing the response to a steady forcing and the timescale of the response to variations in the forcing. The last of these, tmem, is associated with convective lifecycles, which provide an element of memory in the system. A...

We study the preservation of the property of L(R) being a Solovay model under proper projective forcing extensions. We show that every ∼ 1 3 strongly-proper forcing notion preserves this property. This yields that the consistency strength of the absoluteness of L(R) under ∼ 1 3 strongly-proper forcing notions is that of the existence of an inaccessible cardinal. Further, the absoluteness of L(R...

We study time-periodic forcing of spatially extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances or suppresses the Turing amplitude by an amount that scales quadratically with the forcing strength, and (ii) the strongest effect is seen for forcing that ...

Abstract. We present a theoretical analysis of phase separation in the presence of a spatially periodic forcing of wavenumber q traveling with a velocity v. By an analytical and numerical study of a suitably generalized 2d-Cahn-Hilliard model we find as a function of the forcing amplitude and the velocity three different regimes of phase separation. For a sufficiently large forcing amplitude a ...

Every good introduction to set-theoretic forcing starts with basic forcing algebras like ”adding a Cohen real” or ”adding a Cohen subset of ω1”. It seems that these algebras are particularly simple mainly because they contain a dense subtree, so we might as well pretend we are forcing with a tree. Such a forcing is especially easy to visualize as the generic object will be a branch through the ...

The Teacher Forcing algorithm trains recurrent networks by supplying observed sequence values as inputs during training and using the network’s own one-stepahead predictions to do multi-step sampling. We introduce the Professor Forcing algorithm, which uses adversarial domain adaptation to encourage the dynamics of the recurrent network to be the same when training the network and when sampling...

Substantial interannual to decadal variability is observed in the properties of subtropical mode water of the North Atlantic. In this study the response of mode water to stochastic atmospheric forcing is investigated in a numerical model. In a series of experiments the response is studied to different components of stochastic atmospheric forcing, such as wind stress, freshwater flux, and heat f...

The dependence of mixing efficiency on time-varying forcing is studied by direct numerical simulation (DNS) of Kelvin–Helmholtz (KH) instability. Time-dependent forcing fields are designed to reproduce a wavelike oscillation by solving the equations of motion in a tilted coordinate frame and allowing the tilt angle to vary in time. Mixing efficiency Gc is defined as the ratio of potential energ...