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A strong form of Arnold diffusion for two and a half degrees of freedom.
In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees offreedom, and we prove a result of diffusion for an open and dense set of perturbations, ...
For a $K$-user interference channel with $M$ antenna at each transmitter and each receiver, the maximum total DoF of this channel has been previously determined to be $\max \sum_{k=1}^K d_k = MK/2$. H...
We study the degrees of freedom (DoF) regions of two-user multiple-input multiple-output (MIMO) Z and full interference channels in this paper. We assume that the receivers always have perfect channel...
In this paper, we show that an (n+1)-regular conditional linear space with two consecutive line degrees is a projective plane of order n less two lines and all their points, or is a linear space wit...

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