The purpose of this paper is to push forward the theory of operator-valued Riemann–Hilbert problems and demonstrate their effectiveness in respect to the implementation of a non-linear steepest descent method á la Deift–Zhou. ...
In this paper, we study a class of Finsler metrics composed by a Riemann metric $\alpha=\sqrt{a_{ij}(x)y^i y^j}$ and a $1$-form $\beta=b_i(x)y^i$ called general ($\alpha$, $\beta$)-metrics. We classify those projectively ...
Isaev, A. P.; Kirillov, A. N.; Tarasov, Vitaly(IOP, 2016-04)
Commutative sets of Jucys–Murphy elements for affine braid groups of ${A}^{(1)},{B}^{(1)},{C}^{(1)},{D}^{(1)}$ types were defined. Construction of R-matrix representations of the affine braid group of type ${C}^{(1)}$ and ...
A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 11, except at the corners, and ...
We study the rotational behaviour on minimal sets of torus homeomorphisms and show that the associated rotation sets can be any type of line segment as well as non-convex and even plane-separating continua. This shows that ...
Feigin, B.; Jimbo, M.; Miwa, T.; Mukhin, Eugene(2013)
We construct an analog of the subalgebra Ugl(n) ⊗ Ugl(m) ⊂ Ugl(m + n) in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.
The non-slip boundary condition at solid walls cannot be accurately achieved by the conventional immersed boundary–lattice Boltzmann (IB–LB) coupling schemes due to insufficient interpolation accuracy. To solve this problem, ...
We give synthetic proofs of new results in triangle geometry, focusing especially on fixed points of certain affine maps which are defined in terms of the cevian triangles of a point P and its isotomic conjugate P′, with ...
We study the spectrum of the operator D∗D, where the operator D, introduced in Klimek et al. [e-print arXiv:1403.7263v2], is a forward derivative on the p-adic tree, a weighted rooted tree associated to ℤp via Michon’s ...
Athletes use amphetamines to improve their performance through largely unknown mechanisms. Considering that body temperature is one of the major determinants of exhaustion during exercise, we investigated the influence of ...
Aptekarev, Alexander L.; Yattselev, Maxim L.(Springer, 2015-12)
Let f be a germ of an analytic function at infinity that can be analytically continued along any path in the complex plane deprived of a finite set of points, f∈A(C¯∖A)f∈A(C¯∖A), #A<∞#A<∞. J. Nuttall has put forward the ...
A spherical nn-gon is a bordered surface homeomorphic to a closed disk, with nn distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 11, except at the corners, and such that ...
Aptekarev, Alexander I.; Toulyakov, Dmitry N.; Yattselev, Maxim L.(Springer, 2015-11)
A parametrization of a certain algebraic curve of genus 2, given by a cubic equa-tion, is obtained. This curve appears in the study of Hermite-Pade´ approximants for a pair of functions with overlapping branch points on ...
We study conformal vector fields on a Finsler manifold whose metric is defined by a Riemannian metric, a 1-form and its norm. We find PDEs characterizing conformal vector fields. Then we obtain the explicit expressions of ...
Paper-based batteries represent a new frontier in battery technology. However, low-flexibility and poor ionic conductivity of solid electrolytes have been major impediments in achieving practical mechanically flexible ...
Rubchinsky, Leonid L.; Ahn, Sungwoo; Park, Choongseok(Frontiers, 2014-06)
Intermittent synchronization is observed in a variety of different experimental settings in physics and beyond and is an established research topic in nonlinear dynamics. When coupled oscillators exhibit relatively weak, ...
The short-distance expansion of the tau function of the radial sine-Gordon/Painlevé III equation is given by a convergent series which involves irregular c=1c=1 conformal blocks and possesses certain periodicity properties ...