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In this paper, we develop further connections between the ergodic theory of dynamical systems and information theory, in the context of zero-delay coding and state estimation
A bilinear form in the spirit of Kato’s proof for the Navier-Stokes equations is used, coupled with suitable estimates in Chemin-Lerner spaces.. In the one dimensional case, we
In the second part of the work, we derive some results valid for slice regular functions over finite- dimensional division algebras, which had not been proven with the original
Meunier [25], by using his colorful theorem, generalized the Simonyi- Tardos lower bound [30] for the local chromatic number of Kneser graphs to the local chromatic number of
The paper is organized as follows. Section 2 we provide our slightly modified take on [BN14] on Twisted differential spectra for the purpose of constructing their AHSS. In
A streamlined derivation of the Kac-Ward formula for the planar Ising model’s parti- tion function is presented and applied in relating the kernel of the Kac-Ward matrices’ inverse
Our main Theorem 1.1 shows under the assumption that the product of the density and the metric factor is even- tually log-convex that, for large volumes, if the component farthest
Toro prove that a C 1,α parametrization for Reifenberg flat sets (without holes) with vanishing constants can be achieved under a pointwise condition on the β ’s (their conditions
