Proyecciones (Antofagasta, On line)

On the mixed multifractal formalism for vector-valued measures

2020-05-19T04:53:41+00:00

The multifractal formalism for vector-valued measures holds when-ever the existence of corresponding Gibbs-like measures, supported on the singularities sets holds. We tried through this article to improve a result developed by Menceur et al. in [29] and to suggest a new sufficient condition for a valid mixed multifractal formalism for vector-valued measures. We describe a necessary condition of validity for the formalism which is very close to the sufficient one.

Lie (Jordan) centralizers on alternative algebras

2021-03-09T21:27:21+00:00

In this article, we study Lie (Jordan) centralizers on alternative algebras and prove that every multiplicative Lie centralizer has proper form on alternative algebras under certain assumptions.

Equitable chromatic number of weak modular product of Some graphs

2022-02-20T16:21:23+00:00

An equitable coloring of a graph G is a proper coloring of the vertices of G such that the number of vertices in any two color clases differ by at most one. The equitable chromatic number χ=(G) of a graph G is the minimum number of colors needed for an equitable coloring of G. In this paper, we obtain the equitable chromatic number of weak modular product of two graphs G and H, denoted by G o H.

First, we consider the graph G o H, where G is the path graph, and H be any simple graph like the path, the cycle graph, the complete graph. Secondly, we consider G and H as the complete graph and cycle graph respectively. Finally, we consider G as the star graph and H be the complete graph and star graph.

Spectral analysis for finite rank perturbation of diagonal operator in non-archimedean Banach space of countable type

2021-06-19T15:34:25+00:00

In this paper we are concerned with the spectral analysis for the classes of finte rank perturbations of diagonal operators in the form A = D +F where D is a diagonal operator and F is an operator of finite rank in the non archimedean Banach space of countable type. Using the theory of Fredholm operators in non archimedean setting and the concept of essential spectrum for linear operators, we compute the spectrum of A.

On the cohomological equation of a linear contraction

2020-10-30T17:08:23+00:00

In this paper, we study the discrete cohomological equation of a contracting linear automorphism A of the Euclidean space R^d. More precisely, if δ is the cobord operator defined on the Fréchet space E = C^l (R^d) (0 ≤ l ≤ ∞) by: δ(h) = h − h ◦ A, we show that:

If E = C⁰(R^d), the range δ (E) of δ has infinite codimension and its closure is the hyperplane E₀ consisting of the elements of E vanishing at 0. Consequently, H¹ (A, E) is infinite dimensional non Hausdorff topological vector space and then the automorphism A is not cohomologically C⁰-stable.
If E = C^l(R^d), with 1 ≤ l ≤ ∞, the space δ (E) coincides with the closed hyperplane E₀. Consequently, the cohomology space H¹ (A, E) is of dimension 1 and the automorphism A is cohomologically C^l-stable.

I-convergent triple fuzzy normed spaces

2021-06-15T07:03:26+00:00

In this paper we introduce the lacunary ideal convergence of triple sequences in fuzzy normed spaces and the relation between lacunary convergence and lacunary ideal convergence is investigated for triple sequences in fuzzy normed spaces. Concept of limit point and cluster point for triple sequences in fuzzy normed spaces and theorems related to these concepts are also given.

Stratonovich-Henstock integral for the operator-valued stochastic process

2021-07-12T07:54:25+00:00

In this paper, we introduce the Stratonovich-Henstock integral of an operator-valued stochastic process with respect to a Q-Wiener process. We also formulate a version of Ito's formula for this integral.

Implications of Some Types of Pairwise Closed Graphs

2022-04-15T10:46:52+00:00

The main goal of this paper is to introduce and look into some of the fundamental properties of pairwise strongly closed, pairwise strongly -closed and pairwise quasi -closed graphs. Some characterizations and several properties concerning these graphs are obtained. We also investigate relationships between (i,j)-strongly alpha -closed graph G(f) and (i,j)-weakly alpha -continuous. We study relationships between (i,j) strongly alpha -closed (i,j)-quasi alpha-closed graphs with covering properties. The concepts of pairwise -closed and pairwise quasi H-closed relatively are stated.

Some characterizations of frames in ℓ²(I; H) and topological applications

2020-03-19T23:43:10+00:00

We propose in this article some characterizations of the notion of frame in ℓ^²(I; H). The first one is general, and depends on a procedure of inserting a family of vectors instead of x in the definition of a frame. This allows us to define the analysis, synthesis and frame operator on the space ℓ^²(I; H) instead of H. The second one is specific to ℓ^² (I; C^k) and relate it to the freeness of the finite set of components of the frame. The third one concerns normalised tight frames in ℓ^²(I; C^k). Afterwards, we give an example of a frame in ℓ^²(I; C^²) using another sufficient condition in dimension 2. We conclude with some topological applications of these characterizations.

Combination labelings of graphs related to several cycles and paths

2022-03-30T11:42:43+00:00

Suppose that G = (V (G), E(G)) is a graph and |V (G)| = p. If there exists a bijective function f : V (G) → {1, 2, 3, ..., p} such that an f ^c : E(G) → N defined by f ^c(uv) = (^f(u)_f(v))when f (u) > f(v) and f ^c(uv) = (^f(u)_f(v))when f (v) > f (u) is an injection function, then f is called a combination labelings and G is called a combination graph.

This article considers a suitable bijective function f and prove that G(C_n, C_m, P_k) which are graphs related to two cycles and one path containing three parameters, are combination graphs.

Orbit equivalence of linear systems on manifolds and semigroup actions on homogeneous spaces

2021-10-28T14:35:48+00:00

In this paper we introduce the notion of orbit equivalence for semi-
group actions and the concept of generalized linear control system on
smooth manifold. The main goal is to prove that, under certain condi-
tions, the semigroup system of a generalized linear control system on a
smooth manifold is orbit equivalent to the semigroup system of a linear
control system on a homogeneous space.

Fractional metric dimension of generalized prism graph

2022-02-21T18:24:32+00:00

Fractional metric dimension of connected graph $G$ was introduced by Arumugam et al. in [Discrete Math. 312, (2012), 1584-1590] as a natural extension of metric dimension which have many applications in different areas of computer sciences for example optimization, intelligent systems, networking and robot navigation. In this paper fractional metric dimension of generalized prism graph $P_{m}\times C_{n}$ is computed using combinatorial criterion devised by Liu et al. in [ Mathematics, 7(1), (2019), 100].

On even-odd meanness of super subdivision of some graphs

2022-01-18T14:57:37+00:00

Graph Labeling is a significant area of graph theory that is used in a variety of applications like coding hypothesis, x-beam crystallography, radar, cosmology, circuit design, correspondence network tending to, and database administration. This study provides a general overview of graph naming in heterogeneous fields, however it primarily focuses on graph subdivision. The even vertex odd meanness of super subdivide of various graphs is discussed in this study. The graphs generated by super subdivided of path, cycle, comb, crown, and planar grid are even-odd mean graphs, according to our proof.

Bounds for absolute values and imaginary parts of matrix eigenvalues via traces

2022-02-14T15:15:48+00:00

Let λ₁(A), λ₂(A), ..., λ_n(A) be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for |λ_j (A) − ^{trace(A)/ n} | and |Im λ_j (A) − ^{Im trace(A)/n} | (j = 1, ..., n), which refine the previously published results.

Decomposition dimension of corona product of some classes of graphs

2022-05-13T09:33:29+00:00

For an ordered k-decomposition D = {G₁, G₂,...,G_k} of a connected graph G = (V,E), the D-representation of an edge e is the k-tuple γ(e/D)=(d(e, G₁), d(e, G₂), ...,d(e, G_k)), where d(e, G_i) represents the distance from e to G_i. A decomposition D is resolving if every two distinct edges of G have distinct representations. The minimum k for which G has a resolving k-decomposition is its decomposition dimension dec(G). In this paper, the decomposition dimension of corona product of the path P_n and cycle C_n with the complete graphs K₁ and K₂ are determined.