Examples of NeutroHyperstructures on Biological Inheritance [PDF]
In 1934, Marty introduced the concept of hyperstructures, which serves as a generalization of algebraic structures. Hyperstructures have applications in various fields, including biology, where they prove useful for analyzing the different types of ...
Fakhry Asad Agusfrianto +3 more
doaj +1 more source
Limit theorems for radial random walks on pxq-matrices as p tends to infinity [PDF]
The radial probability measures on $R^p$ are in a one-to-one correspondence with probability measures on $[0,\infty[$ by taking images of measures w.r.t. the Euclidean norm mapping. For fixed $\nu\in M^1([0,\infty[)$ and each dimension p, we consider i.i.
Rösler, Margit, Voit, Michael
core +2 more sources
A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian [PDF]
We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$.
Rösler, Margit, Voit, Michael
core +7 more sources
On soft topological hypergroups [PDF]
Hyperstructure theory, initiated by Marty, is a generalization theory of classical algebraic structures, while soft settheory is a powerful mathematical approach for modeling uncertainties and imprecision.
Gulay Oguz
doaj +1 more source
Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials [PDF]
Let $p,q$ positive integers. The groups $U_p(\b C)$ and $U_p(\b C)\times U_q(\b C) $ act on the Heisenberg group $H_{p,q}:=M_{p,q}(\b C)\times \b R$ canonically as groups of automorphisms where $M_{p,q}(\b C)$ is the vector space of all complex $p\times ...
Michael Voit, Ξq R, Ξq R
core +1 more source
Properties of n-ary hypergroups relevant for modelling trajectories in HD maps
In the paper we show that trajectories used in HD maps of autonomous vehicles can be well modelled by means of n-ary hyperoperations and hypergroups. We investigate some properties of such hypergroups.
Křehlík Štěpán +2 more
doaj +1 more source
Operational calculus and integral transforms for groups with finite propagation speed [PDF]
Let $A$ be the generator of a strongly continuous cosine family $(\cos (tA))_{t\in {\bf R}}$ on a complex Banach space $E$. The paper develops an operational calculus for integral transforms and functions of $A$ using the generalized harmonic analysis ...
Blower, Gordon, Doust, Ian
core +2 more sources
Product formulas for a two-parameter family of Heckman-Opdam hypergeometric functions of type BC [PDF]
In this paper we present explicit product formulas for a continuous two-parameter family of Heckman-Opdam hypergeometric functions of type BC on Weyl chambers $C_q\subset \mathbb R^q$ of type $B$.
Voit, Michael
core +2 more sources
Hypercompositional Algebra, Computer Science and Geometry
The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s
Gerasimos Massouros, Christos Massouros
doaj +1 more source
Hypergroups Related to a Pair of Compact Hypergroups [PDF]
The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup $H$ and a closed subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and by restricting irreducible characters of $H$ to ...
Heyer, H. +3 more
openaire +3 more sources

