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Joint Distribution of the Number of Vertices and the Area of Convex Hulls Generated by a Uniform Distribution in a Convex Polygon when the support of a distribution is a convex polygon. A central limit theorem is proved for the joint

Предельное распределение периметра выпуклой оболочки, порожденной пуассоновским точечным процессом в выпуклом многоугольнике convex polygon

A Note about Torsional Rigidity and Euclidean Moment of Inertia of Plane Domains is a simply connected domain. We prove that the conjecture is true for polygonal domains circumscribed

More on Chiral Higher Spin Gravity and convex geometry configuration space, which in our case is the space of convex polygons. The -algebra underlying Chiral Theory

Chiral higher spin gravity and convex geometry Shoikhet–Tsygan–Kontsevich formality, are given by integrals over the configuration space of convex

On Limit Theorem for the Number of Vertices of the Convex Hulls in a Unit DiskThis paper is devoted to further investigation of the property of a number of vertices of convex

On estimates for solutions of systems of convex inequalities inequalities described by convex functions is estimated. As consequences, estimates for the distance from a

A note about torsional rigidity and Euclidean moments of plane domainsConvex domain

On (h, g; m)-Convexity and the Hermite-Hadamard InequalityA new class of (h, g; m)-convex functions is presented, together with its properties, thus

On Zipf-Mandelbrot entropy and 3-convex functions and the 3-convexity of the function. Further, we define linear functionals as the nonnegative differences

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