# Department of Mathematical Sciences Articles

## Recent Submissions

• (Cambridge, 2017)
For non-invertible maps, subshifts that are mainly of finite type and piecewise monotone interval maps, we investigate what happens if we follow backward trajectories, which are random in the sense that, at each step, every ...
• (APS, 2017-01)
We investigate the dynamical role of inhibitory and highly connected nodes (hub) in synchronization and input processing of leaky-integrate-and-fire neural networks with short term synaptic plasticity. We take advantage ...
• (AMS, 2017)
We study finite-dimensional representations of quantum affine algebras of type $B_N$. We show that a module is tame if and only if it is thin. In other words, the Cartan currents are diagonalizable if and only if all joint ...
• (AMS, 2016)
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 1, except at the corners, and ...
• (Frontiers Media SA, 2016)
The quality of life of organ transplant recipients is compromised by complications associated with life-long immunosuppression, such as hypertension, diabetes, opportunistic infections, and cancer. Moreover, the absence ...
• (Wiley, 2017-03)
Hermite-Padé approximants of type II are vectors of rational functions with a common denominator that interpolate a given vector of power series at infinity with maximal order. We are interested in the situation when the ...
• (2016)
We study the Tracy-Widom distribution function for Dyson's ββ-ensemble with β=6β=6. The starting point of our analysis is the recent work of I. Rumanov where he produces a Lax-pair representation for the Bloemendal-Virág ...
• (Elsevier, 2016-09)
A Hilbert space operator is called universal (in the sense of Rota) if every operator on the Hilbert space is similar to a multiple of the restriction of the universal operator to one of its invariant subspaces. We exhibit ...
• (Springer, 2017-08)
We introduce and study a category OfinbObfin of modules of the Borel subalgebra UqbUqb of a quantum affine algebra UqgUqg, where the commutative algebra of Drinfeld generators hi,rhi,r, corresponding to Cartan currents, ...
• (Springer, 2017-03)
It has long been known to mathematicians and physicists that while a full rotation in three-dimensional Euclidean space causes tangling, two rotations can be untangled. Formally, an untangling is a based nullhomotopy of ...
• (American Psychological Society, 2015-12-15)
The importance of exercise is increasingly emphasized for maintaining health. However, exercise itself can pose threats to health such as the development of exertional heat shock in warm environments. Therefore, it is ...
• (Hindawi, 2016)
• (Elsevier, 2017-05)
In a classical work of the 1950's, Lee and Yang proved that the zeros of the partition functions of a ferromagnetic Ising model always lie on the unit circle. Distribution of these zeros is physically important as it ...
• (AIP, 2016-10)
We derive explicit formulas for solutions of the Bethe ansatz equations of the Gaudin model associated to the tensor product of one arbitrary finite-dimensional irreducible module and one vector representation for all ...
• (Springer, 2017-01)
We use a Killing form on a Riemannian manifold to construct a class of Finsler metrics. We find equations that characterize Einstein metrics among this class. In particular, we construct a family of Einstein metrics on S3 ...
• (De Gruyter, 2015)
The K-theoretic analog of Spanier–Whitehead duality for noncommutative C*-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previously been proved only for shifts of finite ...
• (Duke, 2016)
We study the asymptotic behavior of the discrete analogue of the holomorphic map zaza. The analysis is based on the use of the Riemann–Hilbert approach. Specifically, using the Deift–Zhou nonlinear steepest descent method ...
• (IOP, 2016)
We study the family of Lozi maps ${{L}_{a,b}}:{{\mathbb{R}}^{2}}\to {{\mathbb{R}}^{2}}$ , ${{L}_{a,b}}(x,y)=(1+y-a|x|,bx)$ , and their strange attractors ${{ \Lambda }_{a,b}}$ . We introduce the set of kneading sequences ...
• (Taylor & Francis, 2014-10-30)
Fatal hyperthermia after administration of various amphetamines is well-known clinical phenomenon, however, there is no consistent theory explaining its etiology and/or pathogenesis. Dose-dependence of temperature responses ...
• (BioMed Central, 2016-08-18)