In this paper, we define a new family of q-starlike and q-convex functions related to the cardioid domain utilizing ideas subordination Sălăgean quantum differential operator. The primary contribution article is derivation sharp inequality for newly established subclasses in open unit disc U. For novel family, bounds first two Taylor–Maclaurin coefficients, Fekete–Szegö-type functional, coeffic...

A new class of point-interaction problem characterizing the time evolution of spatially localized spots for reaction-diffusion (RD) systems on the surface of the sphere is introduced and studied. This problem consists of a differential algebraic system (DAE) of ODE’s for the locations of a collection of spots on the sphere, and is derived from an asymptotic analysis in the large diffusivity rat...

Replication and load-balancing are two fundamental techniques for improving availability and performance of distributed systems. However, correct and eecient realization of these techniques is intricate when the distributed environment may partition and merge because of processor and communication failures. In this thesis, we show how a view-synchronous group communication service recently spec...

A bstract We develop a new technique for computing class of four-point correlation functions heavy half-BPS operators in planar $$ \mathcal{N} N = 4 SYM theory which admit factorization into product two octagon form factors with an arbitrary bridge length. show that the can be expressed as Fredholm determinan...

We develop the theory of twisted L-cohomology and twisted spectral invariants for flat Hilbertian bundles over compact manifolds. They can be viewed as functions on H(M, R) and they generalize the standard notions. A new feature of the twisted L-cohomology theory is that in addition to satisfying the standard L Morse inequalities, they also satisfy certain asymptotic L Morse inequalities. These...

The main purpose of our work is to provide Fekete and Lebesgue points on three basic bidimensional compact sets, the simplex, the square, and the disk, by solving numerically the corresponding large-scale nonlinear optimization problems up to degree n = 18. Our results reach and often improve those previously known [1], [3]. In the case of the simplex, due to their relevance in developing spect...

Dimension-independent Harnack inequalities are derived for a class of subordinate semigroups. In particular, for a diffusion satisfying the BakryEmery curvature condition, the subordinate semigroup with power α satisfies a dimension-free Harnack inequality provided α ∈ ` 1 2 , 1 ́ , and it satisfies the log-Harnack inequality for all α ∈ (0, 1). Some infinite-dimensional examples are also presen...

We consider planar Coulomb systems consisting of a large number $n$ repelling point charges in the low temperature regime, where inverse $\beta$ grows at least logarithmically as $n\to\infty$, i.e., $\beta\gtrsim \log n$. Under suitable conditions on an external potential, we prove results to effect that gas is with high probability uniformly separated and equidistributed respect corresponding ...