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We consider solutions of the 2D Toda lattice hierarchy which are elliptic functions zeroth time t_0=x. It is known that their poles as t_1 move particles Ruijsenaars-Schneider model. The goal this paper to extend correspondence level hierarchies. show Hamiltonians govern dynamics with respect m-th hierarchical times t_m and \bar obtained from expansion spectral curve for Lax matrix model at mar...

Recently Galashin, Grinberg, and Liu introduced the refined dual stable Grothendieck polynomials, which are symmetric functions in $x=(x_1,x_2,\dots)$ with additional parameters $t=(t_1,t_2,\dots)$. The polynomials defined as a generating function for reverse plane partitions of given shape. They interpolate between Schur by Lam Pylyavskyy 2007. Flagged more version where lower upper bounds ent...

The ADAM33 gene is associated with the pathophysiology of Chronic Obstructive Pulmonary Disease (COPD) and atherosclerosis. In this study we investigated all-cause, COPD and cardiovascular mortality, in relation to single nucleotide polymorphisms (SNPs) in ADAM33 (Q_1, S_1, S_2, T_1 and T_2) that were genotyped in 1,390 subjects from the Vlagtwedde/Vlaardingen cohort. Participants were examined...

We characterize highly coherent transmon qubits fabricated with a direct-write photolithography system. Multi-layer evaporation and oxidation allows us to change the critical current density by reducing effective tunneling area increasing barrier thickness. Surface treatments before resist application again result in high coherence devices. With optimized surface we achieve energy relaxation $T...

Abstract We present new, faster pseudopolynomial time algorithms for the k - Subset Sum problem, defined as follows: given a set Z of n positive integers and targets $$t_1, \ldots , t_k$$ t 1 , … k </mml:math...

There has been considerable recent progress in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model quantum criticality. Here, we study local spin dynamical structure factor of different components disordered region TFIC. We show that low-frequency dynamics spins Ising- and directions have strikingly distinctive temperature dependencies. This leads t...

We establish an asymptotic formula for the number of lattice points in sets $$\begin{aligned} {\textbf{S}}_{h_1, h_2, h_3}(\lambda ): =\left\{ x\in {\mathbb {Z}}_+^3:\lfloor h_1(x_1)\rfloor +\lfloor h_2(x_2)\rfloor h_3(x_3)\rfloor =\lambda \right\} \quad \text {with}\quad \lambda \in {Z}}_+; \end{aligned}$$ where functions $$h_1, h_3$$ are constant multiples regularly varying form $$h(x):=x^c\e...

We introduce a two-temperature Ising model as prototype of superstatistic critical phenomena. The is described by two temperatures ($T_1,T_2$) in zero magnetic field. To predict the phase diagram and numerically estimate exponents, we develop Metropolis Swendsen-Wang Monte Carlo method. observe that there non-trivial line, separating ordered disordered phases. propose an analytic equation for l...