Nonreciprocal responses of noncentrosymmetric quantum materials attract recent intensive interests, which is essential for the rectification function in diodes. A breakthrough discovery superconducting diode effect. The principle to enlarge effect highly desired guide design diode. Here, we study theoretically Josephson junction S/FI/S (S: $d$-wave superconductor, FI: ferromagnetic insulator) o...

We consider a skew product $F_{A} = (\sigma_{\omega}, A)$ over irrational rotation $\sigma_{\omega}(x) x + \omega$ of circle $\mathbb{T}^{1}$. It is supposed that the transformation $A: \mathbb{T}^{1} \to SL(2, \mathbb{R})$ being $C^{1}$-map has form $A(x) R(\varphi(x)) Z(\lambda(x))$, where $R(\varphi)$ in $\mathbb{R}^{2}$ angle $\varphi$ and $Z(\lambda)= diag\{\lambda, \lambda^{-1}\}$ diagona...

Let $\varphi=\{\varphi_k\}_{k=-\infty}^\infty$ denote the extended Takenaka--Malmquist system on unit circle $\mathbb T$ and let $\sigma_{n,\varphi}(f),$ $f\in L^1(\mathbb T)$, be Fej\'er-type operator based $\varphi$, introduced by V. N. Rusak. We give convergence criteria for $\sigma_{n,\varphi}(f)$ in Banach space $X(\mathbb T):=L^p(\mathbb T)\vee C(\mathbb $p\ge 1$. Also we prove Voronovska...

Abstract In this paper, we apply relating semantics to the widely discussed problem of free choice between permitted actions or situations in normative systems. Leaving aside contexts which principle is obviously unacceptable (weak permission understood as an absence prohibition) uncontroversially valid (strong within systems with a closed repertoire situations), concentrate on for explicit per...

We prove theorems on boundedness of operators weak type $(\varphi_0, \psi_0, \varphi_1, \psi_1)$ from Lorentz space $\Lambda_{\varphi,a}(\mathbb{R}^n)$ to $\Lambda_{\varphi,b}(\mathbb{R}^n)$ in “limit” cases, when one functions $\varphi(t) / \varphi_0(t)$, \varphi_1(t)$ slowly changes at zero and infinity.

Abstract The Jánossy density for a determinantal point process is the probability that an interval $I$ contains exactly $p$ points except those at $k$ designated loci. associated with integrable kernel $\mathbf{K}\doteq (\varphi(x)\psi(y)-\psi(x)\varphi(y))/(x-y)$ shown to be expressed as Fredholm determinant $\mathrm{Det}(\mathbb{I}-\tilde{\mathbf{K}}|_I)$ of transformed $\tilde{\mathbf{K}}\do...

Light-assisted micro-nanoscale temperature control in complex nanoparticle network attracts lots of research interests. Many efforts have been put on the optical properties networks and only a few investigations its light-induced thermal behavior was reported. We consider two-dimensional (2D) square-lattice ensemble made typical metal Ag with radius 5 nm. The effect coupling accumulation plasmo...

Let $$\Omega \subset {\mathbb {C}}^n$$ be a smooth bounded pseudoconvex domain and $$A^2 (\Omega )$$ denote its Bergman space. $$P:L^2(\Omega )\longrightarrow A^2(\Omega the projection. For measurable $$\varphi :\Omega \longrightarrow \Omega $$ , projected composition operator is defined by $$(K_\varphi f)(z) = P(f \circ \varphi )(z), z \in f\in A^2 ).$$ In 1994, Rochberg studied boundedness of...