We study the chaos exponent of some variants Sachdev-Ye-Kitaev (SYK) model, namely, $\Ns=1$ supersymmetry (SUSY)-SYK model and its sibling, $(N|M)$-SYK which is not supersymmetric in general, for arbitrary interaction strength. find that large $q$ these variants, as well SYK $\Ns=2$ SUSY-SYK all follow a single-parameter scaling law. By quantitative arguments we further make conjecture, i.e. fo...

‎Here‎, ‎we investigate a conjecture posed by Amiri and Ariannejad claiming‎ ‎that if every maximal subfield of a division ring $D$ has trivial normalizer‎, ‎then $D$ is commutative‎. ‎Using Amitsur classification of‎ ‎finite subgroups of division rings‎, ‎it is essentially shown that if‎ ‎$D$ is finite dimensional over its center then it contains a maximal‎ ‎subfield with non-trivial normalize...

Let (X,μ) be a non-homogeneous space in the sense that X is a metric space equipped with an upper doubling measure μ. The aim of this paper is to study the endpoint estimate of the maximal operator associated to a Calderón-Zygmund operator T and the L boundedness of the maximal commutator with RBMO functions