It is known that in the parameters range $-2 \leq \gamma <-2s$ spectral gap does not exist for linearized Boltzmann operator without cutoff but it Landau operator. This paper devoted to understanding of formation this through grazing limit. Precisely, we study Cauchy problems these two classical collisional kinetic equations around global Maxwellians torus and establish following results are un...

We consider truncated Toeplitz operator on nearly invariant subspaces of the Hardy space H. Of some importance in this context is the boundary behavior of the functions in these spaces which we will discuss in some detail.

Origins of CD bands in lima bean proteinase inhibitor were deduced from an acetylation-deacetylation study of the sole tyrosyl residue in the protein (Tyr 69), and by analogy with Bowman-Birk soybean proteinase inhibitor, a homologous protein with similar spectral properties. Tyr 69 is relatively inaccessible to N-acetylimidazole; 100-fold molar excess of the reagent in the presence of 6 M guan...

The renormalization group and operator product expansion are applied to the model of a passive scalar quantity advected by the Gaussian self-similar velocity field with finite, and not small, correlation time. The inertial-range energy spectrum of the velocity is chosen in the form E(k) proportional, variant k(1-2 epsilon ), and the correlation time at the wave number k scales as k(-2+eta). Ine...

The fungal extracellular flavocytochrome cellobiose dehydrogenase (CDH) participates in lignocellulose degradation. The enzyme has a cytochrome domain connected to a flavin-binding domain by a peptide linker. The cytochrome domain contains a 6-coordinate low spin b-type heme with unusual iron ligands and coordination geometry. Wild type CDH is only the second example of a b-type heme with Met-H...

We employ the axiomatic framework of Rychkov and Tan to investigate critical O$(N)$ vector model with a line defect in $(4-\epsilon)$ dimensions. assume fixed point is described by conformal field theory show that value coupling bulk uniquely without resorting diagrammatic calculations. also study various localized operators method, where analyticity correlation functions plays crucial role det...

The symmetry operators generating the hidden $\mathbb{Z}_2$ of asymmetric quantum Rabi model (AQRM) at bias $\epsilon \in \frac{1}{2}\mathbb{Z}$ have recently been constructed by V. Mangazeev et al. [J. Phys. A: Math. Theor. 54 12LT01 (2021)]. We start with this result to determine for $N$-qubit generalisation AQRM, also known as biased Dicke model, special biases. prove general $N$ that operat...

We present evidence for RNA transcripts encoding two forms of human epsilon immunoglobulin (Ig) heavy chain that differ significantly from those of other isotypes. We previously demonstrated three human epsilon mRNA species, instead of the two, corresponding to membrane and secreted proteins, seen with other heavy chain transcripts. In human genomic DNA downstream of the C epsilon gene, we iden...