Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 43)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 3)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 16)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access  
Advances in Geosciences (ADGEO)     Open Access   (Followers: 20)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 6)
Advances in Materials Science     Open Access   (Followers: 21)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 18)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal  
Advances in Pure Mathematics     Open Access   (Followers: 10)
Advances in Science and Research (ASR)     Open Access   (Followers: 9)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 2)
Air, Soil & Water Research     Open Access   (Followers: 6)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 3)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 4)
Algebra and Logic     Hybrid Journal   (Followers: 9)
Algebra Colloquium     Hybrid Journal   (Followers: 3)
Algebra Universalis     Hybrid Journal   (Followers: 3)
Algorithmic Operations Research     Open Access   (Followers: 6)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 6)
American Mathematical Monthly     Full-text available via subscription   (Followers: 3)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 12)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 7)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 15)
Annals of Functional Analysis     Hybrid Journal   (Followers: 2)
Annals of Mathematics     Full-text available via subscription   (Followers: 5)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 5)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access   (Followers: 1)
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 5)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 7)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 4)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal  
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access  
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription  
British Journal for the History of Mathematics     Hybrid Journal   (Followers: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 18)
British Journal of Mathematics & Computer Science     Full-text available via subscription   (Followers: 1)
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 2)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 3)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 4)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access  
Calculus of Variations and Partial Differential Equations     Hybrid Journal   (Followers: 1)
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access  
Catalysis in Industry     Hybrid Journal  
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 5)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access  
CODEE Journal     Open Access  
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 5)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 20)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 3)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 6)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Compositio Mathematica     Full-text available via subscription   (Followers: 2)
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 5)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 11)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 10)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access  
Contributions to Discrete Mathematics     Open Access  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 11)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal  
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access  
Demographic Research     Open Access   (Followers: 14)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access  
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Doklady Akademii Nauk     Open Access  

        1 2 3 4 | Last

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Bulletin of the Brazilian Mathematical Society, New Series
Journal Prestige (SJR): 0.406
Number of Followers: 0  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1678-7544 - ISSN (Online) 1678-7714
Published by Springer-Verlag Homepage  [2467 journals]
  • Correction to: Bounds on Signless Laplacian Eigenvalues of Hamiltonian
           Graphs

    • Free pre-print version: Loading...

      Abstract: In our original paper the incorrect labelling of the number of vertices of the line graph L(G) in the proof of Theorem 2 has led to the inequality
      PubDate: 2022-12-01
       
  • Complex Valued Multiplicative Functions with Bounded Partial Sums

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      Abstract: Abstract We present a class of multiplicative functions \(f:\mathbb {N}\rightarrow \mathbb {C}\) with bounded partial sums. The novelty here is that our functions do not need to have modulus bounded by 1. The key feature is that they pretend to be the constant function 1 and that for some prime q, \(\sum _{k=0}^\infty \frac{f(q^k)}{q^k}=0\) . These combined with other conditions guarantee that these functions are periodic and have sum equal to zero inside each period. Further, we study the class of multiplicative functions \(f=f_1*f_2\) , where each \(f_j\) is multiplicative and periodic with bounded partial sums. We show an omega bound for the partial sums \(\sum _{n\le x}f(n)\) and an upper bound that is related with the error term in the classical Dirichlet divisor problem.
      PubDate: 2022-12-01
       
  • Differentiable Invariants of Holomorphic Foliations

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      Abstract: Abstract In this paper we study differentiable equivalences of germs of singular holomorphic foliations in dimension two. We prove that the Camacho–Sad indices are invariant by such equivalences. We also prove that the Baum–Bott index is a differentiable invariant for some classes of foliations. As a corollary we show that generic degree two holomorphic foliations of \({\mathbb {P}}^2\) are differentiably rigid.
      PubDate: 2022-12-01
       
  • Topology of Stable Maps of Surfaces with Boundary into the Plane

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      Abstract: Abstract Let M be a connected compact oriented surface with one boundary component. A \(C^\infty \) map \(f:M \rightarrow {\mathbb {R}}^2\) is weakly admissible if it behaves locally like a stable map on a neighbourhood of the boundary \(\partial M\) of M. The notions of the half boundary winding number of a weakly admissible \(C^\infty \) map \(M \rightarrow {\mathbb {R}}^2\) and weakly-admissibly homotopic among weakly admissible \(C^\infty \) maps \(M \rightarrow {\mathbb {R}}^2\) are introduced. Then, we show that weakly admissible \(C^\infty \) maps \(f_0\) and \(f_1:M \rightarrow {\mathbb {R}}^2\) are weakly-admissibly homotopic if and only if the half boundary winding number of \(f_0\) coincides with that of \(f_1\) . Furthermore, we introduce a formula concerning the genus g of M for a stable map \(M \rightarrow {\mathbb {R}}^2\) .
      PubDate: 2022-12-01
       
  • Metrics and Quasimetrics Induced by Point Pair Function

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      Abstract: Abstract We study the point pair function in subdomains G of \({\mathbb {R}}^n\) . We prove that, for every domain \(G\subsetneq {\mathbb {R}}^n\) , this function is a quasi-metric with the constant less than or equal to \(\sqrt{5}/2\) . Moreover, we show that it is a metric in the domain \(G={\mathbb {R}}^n{\setminus }\{0\}\) with \(n\ge 1\) . We also consider generalized versions of the point pair function, depending on a parameter \(\alpha >0\) , and show that in some domains these generalizations are metrics if and only if \(\alpha \le 12\) .
      PubDate: 2022-12-01
       
  • Nehari Manifold for Weighted Singular Fractional p-Laplace Equations

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      Abstract: Abstract In this present paper, we investigate some essential results, in particular, involving the Nehari manifold and functional coercivity. In this sense, we attack our main result, that is, the existence of at least two positive bounded solutions for weighted singular fractional p-Laplace operator via Nehari manifold in the space \(\psi \) -fractional \({\mathbb {H}}^{\alpha ,\beta ;\psi }_{p}([0,T],{\mathbb {R}})\) .
      PubDate: 2022-12-01
       
  • A 3D Non-Stationary Boussinesq System with Navier-slip Boundary Conditions

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      Abstract: Abstract In this paper we study a 3D non-stationary Boussinesq system with Navier-slip boundary conditions for the velocity field and Neumann boundary conditions for the temperature. Considering the viscosity and diffusion coefficient as explicit functions depending on the temperature, we prove the existence of weak solutions and present a regularity result that allow us obtain global-in-time strong solutions.
      PubDate: 2022-12-01
       
  • Distributions, First Integrals and Legendrian Foliations

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      Abstract: Abstract We study germs of holomorphic distributions with “separated variables”. In codimension one, a well know example of this kind of distribution is given by $$\begin{aligned} dz=(y_1dx_1-x_1dy_1)+\dots +(y_mdx_m-x_mdy_m), \end{aligned}$$ which defines the canonical contact structure on \({\mathbb {C}}{\mathbb {P}}^{2m+1}\) . Another example is the Darboux distribution $$\begin{aligned} dz=x_1dy_1+\dots +x_mdy_m, \end{aligned}$$ which gives the normal local form of any contact structure. Given a germ \({\mathcal {D}}\) of holomorphic distribution with separated variables in \(({\mathbb {C}}^n,0)\) , we show that there exists , for some \(\kappa \in {\mathbb {Z}}_{\ge 0}\) related to the Taylor coefficients of \({\mathcal {D}}\) , a holomorphic submersion $$\begin{aligned} H_{{\mathcal {D}}}:({\mathbb {C}}^n,0)\rightarrow ({\mathbb {C}}^{\kappa },0) \end{aligned}$$ such that \({\mathcal {D}}\) is completely non-integrable on each level of \(H_{{\mathcal {D}}}\) . Furthermore, we show that there exists a holomorphic vector field Z tangent to \({\mathcal {D}}\) , such that each level of \(H_{{\mathcal {D}}}\) contains a leaf of Z that is somewhere dense in the level. In particular, the field of meromorphic first integrals of Z and that of \({\mathcal {D}}\) are the same. Between several other results, we show that the canonical contact structure on \({\mathbb {C}}{\mathbb {P}}^{2m+1}\) supports a Legendrian holomorphic foliation whose generic leaves are dense in \({\mathbb {C}}{\mathbb {P}}^{2m+1}\) . So we obtain examples of injectively immersed Legendrian holomorphic open manifolds that are everywhere dense.
      PubDate: 2022-12-01
       
  • Codimension One Regular Foliations on Rationally Connected Threefolds

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      Abstract: Abstract In his work on birational classification of foliations on projective surfaces, Brunella showed that every regular foliation on a rational surface is algebraically integrable with rational leaves. This led Touzet to conjecture that every regular foliation on a rationally connected manifold is algebraically integrable with rationally connected leaves. Druel proved this conjecture for the case of weak Fano manifolds. In this paper, we extend this result showing that Touzet’s conjecture is true for codimension one foliations on threefolds with nef anti-canonical bundle.
      PubDate: 2022-12-01
       
  • Note on Lyapunov Exponent for Critical Circle Maps

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      Abstract: Abstract In this note we concern with the Lyapunov exponent for critical circle maps. We prove that for any \(C^3\) critical circle map with irrational rotation number, the Lyapunov exponent at \(x \in S^1\) equals 0 if and only if the orbit of x never hits the critical points. This implies that the Lyapunov exponent at the critical value for unicritical circle map with irrational rotation number is 0, which answers a question of de Faria and Guarino. The idea is to verify Tsujii’s slow recurrence condition.
      PubDate: 2022-12-01
       
  • A Family of Complex Kleinian Split Solvable Groups

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      Abstract: Abstract In this article, using techniques of Lie groups and dynamical systems, it is shown that lattices of a family of split solvable subgroups of PSL(N+1,C) are complex Kleinian. Also, it is shown that there exists a minimal limit set for the action of these lattices on the complex projective space and that there are exactly two maximal discontinuity regions.
      PubDate: 2022-12-01
       
  • Insensitizing Controls of a 1D Stefan Problem for the Semilinear Heat
           Equation

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      Abstract: Abstract This paper deals with the existence of insensitizing controls for a 1D free-boundary problem of the Stefan kind for a semilinear PDE. The insensitizing problem consists in finding a control function such that some energy functional of the system is locally insensitive to a perturbation of the initial data. As usual, this problem can be reduced to a nonstandard null controllability problem of some nonlinear coupled system governed by a semilinear parabolic equation with a free-boundary and a linear parabolic equation. Nevertheless, in order to solve the later Stefan problem by the fixed point technique, we need to establish the null controllability of the linear coupled system in a non-cylindrical domain. An observability estimate for the corresponding coupled system in a non-cylindrical domain is established, whose proof relies on a new global Carleman estimate.
      PubDate: 2022-12-01
       
  • Phase Transitions for One-Dimensional Lorenz-Like Expanding Maps

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      Abstract: Abstract Given an one-dimensional Lorenz-like expanding map we describe a class \({\mathcal {A}}\) of potentials \(\phi :[0,1]\longrightarrow {\mathbb {R}}\) admitting at most one equilibrium measure and we construct a family of continuous but not weak-Hölder continuous potentials for which we observe phase transitions. This give a certain generalization of the results proved in Pesin and Zhang (J Stat Phys 122(6):1095–1110, 2006), where the authors have proved this for a smaller class of potentials, that is, for uniformly expanding maps and weak-Hölder continuous potentials. Indeed, the class \({\mathcal {A}}\) form an open and dense subset of \(C([0,1],{\mathbb {R}})\) , with the usual \({\mathcal {C}}^0\) topology.
      PubDate: 2022-12-01
       
  • Generating the Mapping Class Group of a Nonorientable Surface by Two
           Elements or by Three Involutions

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      Abstract: Abstract We prove that, for \(g\ge 19\) the mapping class group of a nonorientable surface of genus g, \(\mathrm{Mod}(N_g)\) , can be generated by two elements, one of which is of order g. We also prove that for \(g\ge 26\) , \(\mathrm{Mod}(N_g)\) can be generated by three involutions.
      PubDate: 2022-12-01
       
  • On the Location of Roots of the Characteristic Polynomial of
           (p, q)-Distance Fibonacci Sequences

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      Abstract: Abstract Let p, q, k and \(\ell \) be positive integers. The \((p,q,k,\ell )\) -Fibonacci sequence \((F_{k,\ell ,p,q})_{n\ge 0}\) is the four-parameter sequence defined by the following recurrence $$\begin{aligned} F_{k,\ell ,p,q}(n)=kF_{k,\ell ,p,q}(n-p)+\ell F_{k,\ell ,p,q}(n-q), \end{aligned}$$ with appropriate initial conditions. In this paper, we study the geometric, algebraic, and analytic aspects of the roots of the characteristic polynomial of this sequence, namely, \(f(x)=x^q-kx^{q-p}-\ell \) .
      PubDate: 2022-12-01
       
  • On the Multiplicities of Padovan-Type Sequences

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      Abstract: Abstract The integer sequence defined by \(P_{n+3}=P_{n+1}+P_n\) with initial conditions \(P_{0}=1\) and \(P_{1}=P_{2}=0\) is known as the Padovan sequence \(\left\{ P_{n}\right\} _{n\in \mathbb {Z}}\) . A recurrence sequence \(\{u_{n}\}_{n\in {\mathbb Z}}\) is said to be of Padovan-type if it satisfies the same recurrence relation as the Padovan sequence but with arbitrary initial values \(u_{0},u_{1},u_{2}\) not all zero. The most famous Padovan-type sequence is the Perrin sequence given by \(u_{0}=3\) , \(u_{1}=0\) and \(u_{2}=2\) . We show that every Padovan-type sequence has at most 2 zeros, except for nonzero multiples of shifts of the Padovan sequence which has 0-multiplicity 5. We also show that \(\left\{ P_{n}\right\} _{n\in {\mathbb Z}}\) has total multiplicity 62, i.e., there are 62 pairs \((m,n)\in \mathbb {Z}^{2}\) with \(m<n\) for which \(P_{m}=P_{n}\) . As a consequence, we found that \(\{P_{n}\}_{n\in \mathbb {Z}}\) has multiplicity 9, being 1 the most repeated Padovan number. Finally, we prove that the Perrin sequence has exactly 1 zero, total multiplicity 23 and multiplicity 4.
      PubDate: 2022-10-18
       
  • Mixed Random-Quasiperiodic Cocycles

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      Abstract: Abstract We introduce the concept of mixed random-quasiperiodic linear cocycles. We characterize the ergodicity of the base dynamics and establish a large deviations type estimate for certain types of observables. For the fiber dynamics we prove the uniform upper semicontinuity of the maximal Lyapunov exponent. This paper is meant to introduce a model to be studied in depth in further projects.
      PubDate: 2022-09-30
       
  • A Note on the Exponential Diophantine Equation
           $$(rlm^{2}-1)^{x}+(r(r-l)m^{2}+1)^{y}=(rm)^{z}$$

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      Abstract: Abstract Let r, l, m be positive integers such that \(2\not \mid r\) , \(3\mid l\) and \(r>l\) , and let \(e(r,l,m)=\min \{rlm^{2}-1,r(r-l)m^{2}+1\}\) . In 2020, Kizildere, Le and Soydan proved if \(3\not \mid rm\) and \(e(r,l,m)>30\) , then the exponential Diophantine equation \((rlm^{2}-1)^{x}+(r(r-l)m^{2}+1)^{y}=(rm)^{z}\) \((*)\) has only the positive integer solution \((x,y,z)=(1,1,2)\) . In this paper, we improve the above result by removing the condition \(e(r,l,m)>30\) . Namely, we show that if \(3\not \mid rm\) , then the exponential Diophantine equation \((*)\) has only the positive integer solution \((x,y,z)=(1,1,2)\) . Moreover, using elementary methods and some classical results of generalized Ramanujan–Nagell equations, we prove similar result is true for analogous equation \((a(a-2r)m^{2}-1)^{x}+(2arm^{2}+1)^{y}=(am)^{z}\) under the conditions \(3\not \mid am\) and \(ar\equiv -1\pmod 3\) , where a, r, m be positive integers such that \(2\not \mid a\) and \(a\equiv 2r\pmod 3\) . We point out that our result is different from the result of Kizildere-Le-Soydan and there are infinitely many pairs (a, r) satisfying the conditions of Theorem. Some examples are also given in this paper to demonstrate the existence of pairs (a, r). In particular, when r is an odd prime and \(l=3\) , we deduce that if \(3\not \mid m\) or \(m\ge 247r\) , then the exponential Diophantine equation \((*)\) has only the positive integer solution \((x,y,z)=(1,1,2)\) . As a corollary, we derive that the exponential Diophantine equation \((21m^{2}-1)^{x}+(28m^{2}+1)^{y}=(7m)^{z}\) has only the positive integer solution \((x,y,z)=(1,1,2)\) . These extend and improve earlier results.
      PubDate: 2022-09-30
       
  • On Spectra of Distance Randić Matrix of Graphs

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      Abstract: Abstract The distance Randić matrix of a connected graph G, denoted by \( D^{R}(G) \) , was defined in Díaz and Rojo (Bull Braz Math Soc New Ser, 2021) as follows $$\begin{aligned} D^{R}(G)=Tr(G)^{-1/2}D(G)Tr(G)^{-1/2}, \end{aligned}$$ where D(G) is the distance matrix and Tr(G) is the diagonal matrix of the transmission degrees of G. The matrix \( D^{R}(G) \) is real symmetric and the set of its eigenvalues including multiplicities is the distance Randić spectrum (or \( D^{R}\) -spectrum) of G. In the present article, we find several interesting properties of the eigenvalues of the distance Randić matrix of G. We characterize the graphs with two distance Randić eigenvalues and partially characterize the graphs with three distinct distance Randić eigenvalues. We find some new upper and lower bounds for the distance Randić energy of G and characterize the graphs attaining these bounds. One of our results improve a known upper bound of Díaz and Rojo (Bull Braz Math Soc New Ser, 2021) .
      PubDate: 2022-09-30
       
  • Existence and Uniqueness for Directional Attractors of Topological
           Cocycles

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      Abstract: Abstract The purpose of this manuscript is to present a general framework of asymptotic behavior for topological cocycles by introducing the notion of directional attractor. The set-up consists of a topological cocycle conducted by a semigroup action. A directional attractor depends on a direction on the conductor semigroup, which generalizes the notions of past and future attractors. The main result assures the existence and uniqueness of a directional attractor by the preexistence of an absorbing set. Illustrating examples are presented.
      PubDate: 2022-09-24
      DOI: 10.1007/s00574-022-00311-x
       
 
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