We study the melting of long-range antiferromagnetic order in Hubbard model after an interaction quench, using non-equilibrium dynamical mean-field theory. From previous studies, system is known to quickly relax into a prethermal symmetry-broken state. Using convergent truncation memory integrals Kadanoff Baym equations, we unravel subsequent relaxation dynamics this state over several orders m...

We generalise our previous observation on the invariance of the Jarlskog determinant to matter effects in neutrino oscillations. Within the context of standard neutrino oscillation theory with matter effects, we present the complete set of (five) matter invariant observables for neutrino propagation in matter. We give some examples of their application. E-mail:[email protected] E-mail:w.g...

Let be a finite positive Borel measure supported on [−1, 1] and introduce the discrete Sobolev-type inner product 〈f, g〉 = ∫ 1 −1 f (x)g(x) d (x)+ K ∑ k=1 Nk ∑ i=0 Mk,if (ak)g (ak), where the mass points ak belong to [−1, 1], and Mk,i > 0(i = 0, 1, . . . , Nk). In this paper, we obtain generalized trace formula and asymptotics of the averagedTuran determinant for the Sobolev-type orthogonal pol...

In this paper, we examine the characteristics of titles (average length, proportion of titles with subtitles, proportion of interrogatory, and indicative titles) and how they changed over a substantial period of time (half a century). We consistently analyze core literature in five diverse fields, in order to probe the usage of titles as a disciplinary identity building tool. In addition, we st...

This paper is motivated by the study of a version of the so-called Schrödinger-Poisson-Slater problem: −∆u+ ωu+ λ „

We solve a number of problems posed by Hedetniemi, Hedetniemi, Laskar, Markus, and Slater concerning pairs of disjoint sets in graphs which are dominating or independent and dominating.

Within uncertain technological progress, a firm has to decide when to update its technology and select a new one among a non-decreasing range over time. Under constant return to scale, the best existing technology is implemented. Replacement is triggered not only when the firm operated technology is sufficiently obsolete but also the wedge between the latest and the state of the arts grades is ...