1 citations · 3 across the 10 of their papers we have counts for
10 papers
Uniqueness of Flotation and Buoyancy Surfaces for Convex Polytopes
Susanna Dann, Orli Herscovici, Sergii Myroshnychenko
We prove that a convex polytope , , of uniform density floating in a liquid of density , is uniquely determined by its surface of f…
Stability and the equality case in the B-theorem
Orli Herscovici, Galyna V. Livshyts, Liran Rotem +1
In this paper, we show the stability, and characterize the equality cases in the strong B-inequality of Cordero-Erasquin, Fradelizi and Maurey \cite{B-conj}. As an application, we…
Unified generating function for set partitions
Orli Herscovici
In this work we define a unified generating functions for 9 different kinds of set partitions including cyclically ordered set partitions. Such generating function depends on 4 par…
Kohler-Jobin meets Ehrhard: the sharp lower bound for the Gaussian principal frequency while the Gaussian torsional rigidity is fixed, via rearrangements
Orli Herscovici, Galyna V. Livshyts
In this note, we provide an adaptation of the Kohler-Jobin rearrangement technique to the setting of the Gauss space. As a result, we prove the Gaussian analogue of the Kohler-Jobi…
Generalized permutations related to the degenerate Eulerian numbers
Orli Herscovici
In this work we propose a combinatorial model that generalizes the standard definition of permutation. Our model generalizes the degenerate Eulerian polynomials and numbers of Carl…
Harary polynomials
Orli Herscovici, Johann A. Makowsky, Vsevolod Rakita
Given a graph property , F. Harary introduced in 1985 -colorings, graph colorings where each colorclass induces a graph in . Let $χ_{\mathcal…
Study of the -deformed Touchard polynomials
Orli Herscovici
A two-parameter deformation of the Touchard polynomials, based on the NEXT -exponential function of Tsallis, defines two statistics on set partitions. The generating function of…
New degenerated polynomials arising from non-classical Umbral Calculus
Orli Herscovici, Toufik Mansour
We introduce new generalizations of the Bernoulli, Euler, and Genocchi polynomials and numbers based on the Carlitz-Tsallis degenerate exponential function and concepts of the Umbr…
On construction of a new interpolation tool: cubic -spline
Orli Herscovici
This work presents a new interpolation tool, namely, cubic -spline. Our new analogue generalizes a well known classical cubic spline. This analogue, based on the Jackson -der…
The best constant in the Khinchine inequality for slightly dependent random variables
Orli Herscovici, Susanna Spektor
We compute the best constant in the Khintchine inequality under assumption that the sum of Rademacher random variables is zero.