Results 21 to 30 of about 2,185 (265)

Wick calculus on spaces of regular generalized functions of Levy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Many objects of the Gaussian white noise analysis (spaces of test and generalized functions, stochastic integrals and derivatives, etc.) can be constructed and studied in terms of so-called chaotic decompositions, based on a chaotic representation ...
M.M. Frei
doaj   +1 more source

Regular Methods for Operator Precedence Languages [PDF]

open access: yes, 2023
The operator precedence languages (OPLs) represent the largest known subclass of the context-free languages which enjoys all desirable closure and decidability properties.
Henzinger, Thomas A.   +6 more
core   +1 more source

On Wick calculus on spaces of nonregular generalized functions of Levy white noise analysis

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
Development of a theory of test and generalized functions depending on infinitely many variables is an important and actual problem, which is stipulated by requirements of physics and mathematics.
N.A. Kachanovsky
doaj   +1 more source

From relative Rota-Baxter operators and relative averaging operators on Lie algebras to relative Rota-Baxter operators on Leibniz algebras: a uniform approach

open access: yes, 2023
In this paper, first we construct two subcategories (using symmetric representations and antisymmetric representations) of the category of relative Rota-Baxter operators on Leibniz algebras, and establish the relations with the categories of relative ...
Sheng, Yunhe   +2 more
core   +1 more source

Nijenhuis operators on Leibniz algebras

open access: yesJournal of Geometry and Physics
In this paper, we study Nijenhuis operators on Leibniz algebras. We discuss the relationship of Nijenhuis operators with Rota-Baxter operators and modified Rota-Baxter operators on Leibniz algebras. We define a representation theory of Nijenhuis Leibniz algebras and construct a cohomology theory.
Bibhash Mondal, Ripan Saha
openaire   +2 more sources

TWO METHODS OF DESCRIBING 2-LOCAL DERIVATIONS AND AUTOMORPHISMS

open access: yesUral Mathematical Journal
In the present paper, we investigate 2-local linear operators on vector spaces. Sufficient conditions are obtained for the linearity of a 2-local linear operator on a finite-dimensional vector space. To do this, families of matrices of a certain type are
Farhodjon Arzikulov   +2 more
doaj   +1 more source

A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences

open access: yesJournal of Inequalities and Applications, 2016
Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as the ( p , q ) $(
Serkan Araci   +3 more
doaj   +1 more source

A Type-Directed Operational Semantics For a Calculus with a Merge Operator [PDF]

open access: yes, 2020
Calculi with disjoint intersection types and a merge operator provide general mechanisms that can subsume various other features. Such calculi can also encode highly dynamic forms of object composition, which capture common programming patterns in ...
Oliveira, Bruno C. d. S.   +3 more
core   +1 more source

Cohomology and deformations of compatible Leibniz algebras

open access: yes, 2023
In this paper we study a cohomology theory of compatible Leibniz algebra. We construct a graded Lie algebra whose Maurer-Cartan elements characterize the structure of compatible Leibniz algebras.
Yadav, RB   +2 more
core  

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