We show that introducing a periodic time coordinate in the models of PennerKontsevich type generalizes the corresponding constructions to the case of the moduli space S g,n of curves C with homology chains γ ∈ H1(C,Zk). We make a minimal extension of the resulting models by adding a kinetic term, and we get a new matrix model which realizes a simple dynamics of Zk-chains on surfaces. This gives...

For a set E of positive and finite length, we prove that if the Huovinen transform (the convolution operator with kernel zk/|z|k+1 for an odd number k) associated to exists in principal value, then is rectifiable.

The Zener-Klein (ZK) interband tunneling in graphene layers (GLs) with the lateral n-i-n and p-i-n junctions results nonlinear I-V characteristics that can be used for rectification detection of terahertz (THz) signals. transit time delay electrons holes depletion regions leads to phase shift between THz current voltage causing negative dynamic conductance a certain frequency range resulting so...

In this investigation, the exact solutions of variable coefficients generalized Zakharov-Kuznetsov (ZK) equation and Gardner are studied with help an extended G ′ / expansion method. The main objective study is to establish closed-for...

In this paper, we propose a class of adaptive multiresolution (also called the sparse grid) ultra-weak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispersive wave equations including Korteweg--de Vries (KdV) equation and its two-dimensional generalization, Zakharov--Kuznetsov (ZK) equation. The UWDG formulation, which relies on repeated integration by parts, was proposed Kd...

Comparative effectiveness of interventions for treating interdigital necrobacillosis in cattle: A network meta-analysis | MA Torehanov, ZK Tulemissova, AS Ibazhanova, ER Rafikova, ‪B Muzapbarov, EM Korabaev, ST Siyabekov Agricultural Journals

In this paper, we consider a strongly-repelling model of n ordered particles {eiθj}n−1 j=0 with the density p(θ0, · · · , θn−1) = 1 Zn exp { −β2 ∑ j 6=k sin −2 ( θj−θk 2 )} , β > 0. Let θj = 2πj n + xj n2 + const such that ∑n−1 j=0 xj = 0. Define ζn ( 2πj n ) = xj √ n and extend ζn piecewise linearly to [0, 2π]. We prove the functional convergence of ζn(t) to ζ(t) = √ 2 βRe (∑∞ k=1 1 ke Zk ) , ...