Assume that $${\mathbb {F}}$$ is an algebraically closed field and let q denote a nonzero scalar in not root of unity. The universal Askey–Wilson algebra $$\triangle _q$$ unital associative -algebra defined by generators relations. are A, B, C the relations state each $$\begin{aligned} A+\frac{q BC-q^{-1} CB}{q^2-q^{-2}}, \qquad B+\frac{q CA-q^{-1} AC}{q^2-q^{-2}}, C+\frac{q AB-q^{-1} BA}{q^2-q...

We study the Kardar-Parisi-Zhang equation on half-line $x \geqslant 0$ with Neumann type boundary condition. Stationary measures of KPZ dynamics were characterized in recent work: they depend two parameters, parameter $u$ dynamics, and drift $-v$ initial condition at infinity. consider fluctuations height field when is given by one these stationary processes. At large time $t$, it natural to re...

The B20-type cobalt germanide CoGe was investigated by measuring the specific heat, resistivity, and $^{59}$Co nuclear magnetic resonance (NMR). We observed a phase transition at $T_Q=13.7$ K, evidenced very narrow peak of heat sharp changes spin-spin ($T_2^{-1}$) spin-lattice ($T_1^{-1}$) relaxation rates. fact that entropy release is extremely small Knight shift almost independent temperature...

In the self-similar scenario for galaxy cluster formation and evolution, thermodynamic properties of X-ray emitting plasma can be predicted in their dependencies on halo mass redshift only. However, several departures from this simple have been observed. We show how our semi-analytic model $i(cm)z$, which modifies predictions through two temperature-dependent quantities, gas fraction $f_g=f_0 T...

In the diagnosis of myocardial infarction, magnetic resonance imaging can provide information about myocardial contractility and tissue characterization, including viability. In current clinical practice, separate scans are required for each aspect. A recently proposed method showed how the same information can be extracted from a single, short scan of 4 s, but made strong assumptions about the...

We study the bi-commutators $[T_1, [b, T_2]]$ of pointwise multiplication and Calder\'on-Zygmund operators, characterize their $L^{p_1}L^{p_2} \to L^{q_1}L^{q_2}$ boundedness for several off-diagonal regimes mixed-norm integrability exponents $(p_1,p_2)\neq(q_1,q_2)$. The strategy is based on a bi-parameter version recent approximate weak factorization method.