We pursue the study of the computational power of Piecewise Constant Derivative PCD systems started in PCD systems are dynamical systems de ned by a piecewise constant di erential equation and can be considered as computational machines working on a continuous space with a continuous time We prove that the languages recognized by rational PCD systems in dimension d k respectively d k k in nite ...

A light Higgs portal scalar could be abundantly produced in the earth's atmosphere and decay large-volume neutrino detectors. We point out that Hyper-Kamiokande detector bears a strong discovery potential of probing such particles an uncharted parameter space is actively explored by intensity frontier experiments including rare kaon decays. The signal we propose to look for electron-positron pa...

Let A be a finite-dimensional k-algebra and K/k finite separable field extension. We prove that is derived equivalent to hereditary algebra if only so ⊗kK.

We show that to cubic order double field theory is encoded in Yang-Mills theory. To this end we use algebraic structures from string as follows: The ${L}_{\ensuremath{\infty}}$-algebra of the tensor product $\mathcal{K}\ensuremath{\bigotimes}\mathfrak{g}$ Lie algebra $\mathfrak{g}$ gauge group and a ``kinematic algebra'' $\mathcal{K}$ ${C}_{\ensuremath{\infty}}$-algebra. This structure induces ...

An action of Z by automorphisms of a k-graph induces an action of Z by automorphisms of the corresponding k-graph C∗-algebra. We show how to construct a (k + l)-graph whose C∗-algebra coincides with the crossed product of the original k-graph C∗-algebra by Z. We then investigate the structure of the crossed-product C∗-algebra.

An action of Z by automorphisms of a k-graph induces an action of Z by automorphisms of the corresponding k-graph C∗-algebra. We show how to construct a (k + l)-graph whose C∗-algebra coincides with the crossed product of the original k-graph algebra by Z. We then investigate the structure of the crossed-product C∗-algebra.

The classical theorem of Weitzenböck states that the algebra of invariants K[X] of a single unipotent transformation g ∈ GLm(K) acting on the polynomial algebra K[X] = K[x1, . . . , xm] over a field K of characteristic 0 is finitely generated. This algebra coincides with the algebra of constants K[X] of a linear locally nilpotent derivation δ of K[X]. Recently the author and C. K. Gupta have st...