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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: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 29)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 5)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, 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: 4)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
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: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
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   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
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  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
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: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
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  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Bulletin of the Brazilian Mathematical Society, New Series
  [SJR: 0.436]   [H-I: 19]   [0 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 1678-7544 - ISSN (Online) 1678-7714
   Published by Springer-Verlag Homepage  [2350 journals]
  • Automorphisms of Ideals of Polynomial Rings
    • Authors: Tiago Macedo; Thiago Castilho de Mello
      Pages: 1 - 15
      Abstract: Let R be a commutative integral domain with unit, f be a nonconstant monic polynomial in R[t], and \(I_f \subset R[t]\) be the ideal generated by f. In this paper we study the group of R-algebra automorphisms of the R-algebra without unit \(I_f\) . We show that, if f has only one root (possibly with multiplicity), then \({{\mathrm{Aut}}}(I_f) \cong R^\times \) . We also show that, under certain mild hypothesis, if f has at least two different roots in the algebraic closure of the quotient field of R, then \({{\mathrm{Aut}}}(I_f)\) is a cyclic group and its order can be completely determined by analyzing the roots of f.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0046-8
      Issue No: Vol. 49, No. 1 (2018)
  • Large Deviations for Equilibrium Measures and Selection of Subaction
    • Authors: Jairo K. Mengue
      Pages: 17 - 42
      Abstract: Given a Lipschitz function \(f:\{1,\ldots ,d\}^\mathbb {N} \rightarrow \mathbb {R}\) , for each \(\beta >0\) we denote by \(\mu _\beta \) the equilibrium measure of \(\beta f\) and by \(h_\beta \) the main eigenfunction of the Ruelle Operator \(L_{\beta f}\) . Assuming that \(\{\mu _{\beta }\}_{\beta >0}\) satisfy a large deviation principle, we prove the existence of the uniform limit \(V= \lim _{\beta \rightarrow +\infty }\frac{1}{\beta }\log (h_{\beta })\) . Furthermore, the expression of the deviation function is determined by its values at the points of the union of the supports of maximizing measures. We study a class of potentials having two ergodic maximizing measures and prove that a L.D.P. is satisfied. The deviation function is explicitly exhibited and does not coincide with the one that appears in the paper by Baraviera-Lopes-Thieullen which considers the case of potentials having a unique maximizing measure.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0044-x
      Issue No: Vol. 49, No. 1 (2018)
  • Liouville Type Results for Two-Sided Hypersurfaces in Weighted Killing
           Warped Products
    • Authors: Henrique F. de Lima; Eraldo Lima; Adriano Medeiros; Márcio S. Santos
      Pages: 43 - 55
      Abstract: We establish Liouville type results concerning two-sided hypersurfaces immersed in a weighted Killing warped product, under suitable constraints either on the Bakry-Émery-Ricci tensor of the base of the ambient space or on the height function of the hypersurface.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0043-y
      Issue No: Vol. 49, No. 1 (2018)
  • Modular Invariants of Finite Affine Linear Groups
    • Authors: Yin Chen
      Pages: 57 - 72
      Abstract: We study modular invariants of finite affine linear groups over a finite field \(\mathbb {F}_{q}\) under affine actions and linear actions. We generalize a result of Chuai (J Algebra 318:710–722, 2007, Theorem 4.2) to any m-folds affine actions. Suppose \(G\leqslant \mathrm{GL}(n,\mathbb {F}_{q})\) is a subgroup and W denotes the canonical module of \(\mathrm{GL}(n,\mathbb {F}_{q})\) . We denote by \(\mathbb {F}_{q}[W]^{G}\) the invariant ring of G acting linearly on W and denote by \(\mathbb {F}_{q}[W_{n+1}]^{AG(W^{*})}\) the invariant ring of the affine group \(AG(W^{*})\) of G acting canonically on \(W_{n+1}:=W\oplus \mathbb {F}_{q}\) . We show that if \(\mathbb {F}_{q}[W]^{G}=\mathbb {F}_{q}[f_{1},f_{2},\ldots ,f_{s}]\) , then \(\mathbb {F}_{q}[W_{n+1}]^{AG(W^{*})}=\mathbb {F}_{q}[f_{1},f_{2},\ldots ,f_{s},h_{n+1}]\) , where \(h_{n+1}\) denotes the \((n+1)\) -th Mui’s invariant of degree \(q^{n}\) . Let \(\mathrm{AGL}_{1}(\mathbb {F}_{p})\) be the 1-dimensional affine general linear groups over the prime field \(\mathbb {F}_{p}\) . We find a generating set for the ring of vector invariants \(\mathbb {F}_{p}[mW_{2}]^{\mathrm{AGL}_{1}(\mathbb {F}_{p})}\) and determine the Noether’s number \(\upbeta _{mW_{2}}(\mathrm{AGL}_{1}(\mathbb {F}_{p}))\) for any \(m\in \mathbb {N}^{+}\) .
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0050-z
      Issue No: Vol. 49, No. 1 (2018)
  • Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie
           Groups over Hyperbolic Bases
    • Authors: Mário Bessa; Jairo Bochi; Michel Cambrainha; Carlos Matheus; Paulo Varandas; Disheng Xu
      Pages: 73 - 87
      Abstract: A theorem of Viana says that almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. In this note we extend this result to cocycles on any noncompact classical semisimple Lie group.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0048-6
      Issue No: Vol. 49, No. 1 (2018)
  • On the Continuity of the Topological Entropy of Non-autonomous Dynamical
    • Authors: Jeovanny de Jesus Muentes Acevedo
      Pages: 89 - 106
      Abstract: Let M be a compact Riemannian manifold. The set \(\text {F}^{r}(M)\) consisting of sequences \((f_{i})_{i\in {\mathbb {Z}}}\) of \(C^{r}\) -diffeomorphisms on M can be endowed with the compact topology or with the strong topology. A notion of topological entropy is given for these sequences. I will prove this entropy is discontinuous at each sequence if we consider the compact topology on \(\text {F}^{r}(M)\) . On the other hand, if \( r\ge 1\) and we consider the strong topology on \(\text {F}^{r}(M)\) , this entropy is a continuous map.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0049-5
      Issue No: Vol. 49, No. 1 (2018)
  • p -Harmonic l -forms on Complete Noncompact Submanifolds in Sphere with
           Flat Normal Bundle
    • Authors: Yingbo Han
      Pages: 107 - 122
      Abstract: In this paper, we investigate a complete noncompact submanifold \(M^m\) in a sphere \(S^{m+t}\) with flat normal bundle. We prove that the dimension of the space of \(L^p\) p-harmonic l-forms (when \(m\ge 4\) , \(2\le l\le m-2\) and when \(m=3\) , \(l=2\) ) on M is finite if the total curvature of M is finite and \(m\ge 3\) . We also obtain that there are no nontrivial \(L^p\) p-harmonic l-forms on M if the total curvature is bounded from above by a constant depending only on m, p, l.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0051-y
      Issue No: Vol. 49, No. 1 (2018)
  • Problems with Mean Curvature-Like Operators and Three-Point Boundary
    • Authors: Dionicio Pastor Dallos Santos
      Pages: 123 - 136
      Abstract: In this paper we study the existence of solutions for a new class of nonlinear differential equations with three-point boundary conditions. Existence of solutions are obtained by using the Leray–Schauder degree.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0052-x
      Issue No: Vol. 49, No. 1 (2018)
  • Polynomial Differential Systems in $$\mathbb {R}^3$$ R 3 Having Invariant
           Weighted Homogeneous Surfaces
    • Authors: Thaís Maria Dalbelo; Marcelo Messias; Alisson C. Reinol
      Pages: 137 - 157
      Abstract: In this paper we give the normal form of all polynomial differential systems in \(\mathbb {R}^3\) having a weighted homogeneous surface \(f=0\) as an invariant algebraic surface and characterize among these systems those having a Darboux invariant constructed uniquely using this invariant surface. Using the obtained results we give some examples of stratified vector fields, when \(f=0\) is a singular surface. We also apply the obtained results to study the Vallis system, which is related to the so-called El Niño atmospheric phenomenon, when it has a cone as an invariant algebraic surface, performing a dynamical analysis of the flow of this system restricted to the invariant cone and providing a stratification for this singular surface.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0045-9
      Issue No: Vol. 49, No. 1 (2018)
  • A New Approach on the Energy of Elastica and Non-Elastica in Minkowski
           Space E $$_{2}^{4}$$ 2 4
    • Authors: Talat Körpinar; Rıdvan Cem Demirkol
      Pages: 159 - 177
      Abstract: In this work, we firstly describe conditions for being elastica for a moving particle corresponding to different type of space curves in Minkowski space \(\mathsf{E}_2^4\) . Then, we investigate the energy on the elastic curves corresponding to a particular particle in the space and we also exploit its relationship with energy on the same particle in the Frenet vector fields. Finally, we characterize non-elastic curves in \(\mathsf{E}_2^4\) and we compute their energy to see the distinction between energies for the curves of elastic and non-elastic case in Minkowski space \(\mathsf{E}_2^4\) .
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0047-7
      Issue No: Vol. 49, No. 1 (2018)
  • Borsuk-Ulam Theorems and Their Parametrized Versions for $$\mathbb
           {F}P^m\times \mathbb {S}^3$$ F P m × S 3
    • Authors: Somorjit Konthoujam Singh; Hemant Kumar Singh; Tej Bahadur Singh
      Pages: 179 - 197
      Abstract: Let \(G=\mathbb {Z}_p,\) \(p>2\) a prime, act freely on a finitistic space X with mod p cohomology ring isomorphic to that of \(\mathbb {F}P^m\times \mathbb {S}^3\) , where \(m+1\not \equiv 0\) mod p and \(\mathbb {F}=\mathbb {C}\) or \(\mathbb {H}\) . We wish to discuss the nonexistence of G-equivariant maps \(\mathbb {S}^{2q-1}\rightarrow X\) and \( X\rightarrow \mathbb {S}^{2q-1}\) , where \(\mathbb {S}^{2q-1}\) is equipped with a free G-action. These results are analogues of the celebrated Borsuk-Ulam theorem. To establish these results first we find the cohomology algebra of orbit spaces of free G-actions on X. For a continuous map \(f\!:\! X\rightarrow \mathbb {R}^n\) , a lower bound of the cohomological dimension of the partial coincidence set of f is determined. Furthermore, we approximate the size of the zero set of a fibre preserving G-equivariant map between a fibre bundle with fibre X and a vector bundle. An estimate of the size of the G-coincidence set of a fibre preserving map is also obtained. These results are parametrized versions of the Borsuk-Ulam theorem.
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-017-0040-1
      Issue No: Vol. 49, No. 1 (2018)
  • On the Algebraic Structure and the Number of Zeros of Abelian Integral for
           a Class of Hamiltonians with Degenerate Singularities
    • Authors: Jihua Yang
      Abstract: The sixteen generators of Abelian integral \(I(h)=\oint _{\Gamma _h}g(x,y)dx-f(x,y)dy\) , which satisfy eight different Picard–Fuchs equations respectively, are obtained, where \(\Gamma _h\) is a family of closed orbits defined by \(H(x,y)=ax^4+by^4+cx^8=h\) , \(h\in \Sigma \) , \(\Sigma \) is the open intervals on which \(\Gamma _h\) is defined, and f(x, y) and g(x, y) are real polynomials in x and y of degree n. Moreover, an upper bound of the number of zeros of I(h) is obtained for a special case $$\begin{aligned} f(x,y)=\sum \limits _{0\le i\le 4k+1=n}a_ix^{4k+1-i}y^i,\ \ \ g(x,y)=\sum \limits _{0\le i\le 4k+1=n}b_ix^{4k+1-i}y^i. \end{aligned}$$
      PubDate: 2018-04-23
      DOI: 10.1007/s00574-018-0085-9
  • Equilibrium State for One-Dimensional Lorenz-Like Expanding Maps
    • Authors: M. A. Bronzi; J. G. Oler
      Abstract: Let \(L:[0,1]{\setminus }\{d\}\rightarrow [0,1]\) be a one-dimensional Lorenz-like expanding map (d is the point of discontinuity), \(\mathcal {P}=\{ (0,d),(d,1) \}\) and \(C^{\alpha }([0,1],{\mathcal {P}})\) the set of piecewise Hölder-continuous potentials of [0, 1] with the usual \(\mathcal {C}^0\) topology. In this context, applying a criteria by Buzzi and Sarig (Ergod Theory Dyn Syst 23(5):1383–1400, 2003, Th. 1.3), we prove that there exists an open and dense subset \(\mathcal {H}\) of \(C^{\alpha }([0,1],{\mathcal {P}})\) , such that each \(\phi \in \mathcal {H}\) admits exactly one equilibrium state.
      PubDate: 2018-04-06
      DOI: 10.1007/s00574-018-0084-x
  • Toeplitz Operators for Wavelet Transform Related to the Spherical Mean
    • Authors: Besma Amri
      Abstract: We define wavelets and wavelet transforms associated with spherical mean operator. We establish a Plancherel theorem, orthogonality property and inversion formula for the wavelet transform. Next, we define the Toeplitz operators \(\mathfrak {T}_{\varphi ,\psi }(\sigma )\) associated with two wavelets \(\varphi ,\psi \) and with symbol \(\sigma .\) We establish the boundedness and compactness of these operators. Last, we define the Schatten-von Neumann class \(S^p\ ;\ p\in \ [1,+\infty ],\) and we show that the Toeplitz operators belong to the class \(S^p\) and we prove a formula of trace.
      PubDate: 2018-03-23
      DOI: 10.1007/s00574-018-0083-y
  • A New Approach to Integer Partitions
    • Authors: J. P. O. Santos; M. L. Matte
      Abstract: In this work we define a new set of integer partition, based on a lattice path in \({\mathbb {Z}}^2\) connecting the line \(x+y=n\) to the origin, which is determined by the two-line matrix representation given for different sets of partitions of n. The new partitions have only distinct odd parts with some particular restrictions. This process of getting new partitions, which has been called the Path Procedure, is applied to unrestricted partitions, partitions counted by the 1st and 2nd Rogers–Ramanujan Identities, and those generated by the Mock Theta Function \(T_1^*(q)=\sum _{n=0}^{\infty }\dfrac{q^{n(n+1)}(-q^2,q^2)_n}{(q,q^2)_{n+1}}\) .
      PubDate: 2018-03-16
      DOI: 10.1007/s00574-018-0082-z
  • The Milnor Number of Plane Branches with Tame Semigroups of Values
    • Authors: A. Hefez; J. H. O. Rodrigues; R. Salomão
      Abstract: The Milnor number of an isolated hypersurface singularity, defined as the codimension \(\mu (f)\) of the ideal generated by the partial derivatives of a power series f that represents locally the hypersurface, is an important topological invariant of the singularity over the complex numbers. However it may loose its significance when the base field is arbitrary. It turns out that if the ground field is of positive characteristic, this number depends upon the equation f representing the hypersurface, hence it is not an invariant of the hypersurface. For a plane branch represented by an irreducible convergent power series f in two indeterminates over the complex numbers, it was shown by Milnor that \(\mu (f)\) always coincides with the conductor c(f) of the semigroup of values S(f) of the branch. This is not true anymore if the characteristic of the ground field is positive. In this paper we show that, over algebraically closed fields of arbitrary characteristic, this is true, provided that the semigroup S(f) is tame, that is, the characteristic of the field does not divide any of its minimal generators.
      PubDate: 2018-03-14
      DOI: 10.1007/s00574-018-0080-1
  • Complete Parallel Mean Curvature Surfaces in Two-Dimensional Complex
    • Authors: Katsuei Kenmotsu
      Abstract: The purpose of this article is to determine explicitly the complete surfaces with parallel mean curvature vector, both in the complex projective plane and the complex hyperbolic plane. The main results are as follows: when the curvature of the ambient space is positive, there exists a unique such surface up to rigid motions of the target space. On the other hand, when the curvature of the ambient space is negative, there are ‘non-trivial’ complete parallel mean curvature surfaces generated by Jacobi elliptic functions and they exhaust such surfaces.
      PubDate: 2018-03-13
      DOI: 10.1007/s00574-018-0081-0
  • $$\mathbf {Nil}$$ Nil Geodesic Triangles and Their Interior Angle Sums
    • Authors: Jenő Szirmai
      Abstract: In this paper we study the interior angle sums of geodesic triangles in \(\mathbf {Nil}\) geometry and prove that these can be larger, equal or less than \(\pi \) . We use for the computations the projective model of \(\mathbf {Nil}\) introduced by Molnár (Beitr. Algebra Geom. 38(2):261–288, 1997).
      PubDate: 2018-03-03
      DOI: 10.1007/s00574-018-0077-9
  • The Łojasiewicz Exponent at Infinity of Non-negative and
           Non-degenerate Polynomials
    • Authors: Grzegorz Oleksik; Adam Różycki
      Abstract: Let f be a real polynomial, non-negative at infinity with non-compact zero-set. Suppose that f is non-degenerate in the Kushnirenko sense at infinity. In this paper we give a formula for the Łojasiewicz exponent at infinity of f and a formula for the exponent of growth of f in terms of its Newton polyhedron.
      PubDate: 2018-03-02
      DOI: 10.1007/s00574-018-0078-8
  • On a Lemma of Varchenko and Higher Bilinear Forms Induced by Grothendieck
           Duality on the Milnor Algebra of an Isolated Hypersurface Singularity
    • Authors: M. A. Dela-Rosa
      Abstract: For an isolated hypersurface singularity \(f:(\mathbb {C}^{n+1},0)\rightarrow (\mathbb {C},0)\) with Milnor number \(\mu \) and good representative \(f:(X,0)\rightarrow (\Delta ,0)\) canonical \(\mu \) -dimensional \(\mathbb {C}\) -bilinear vector spaces are associated: the Jacobian module, \(\Omega ^{f}\) , which is isomorphic to the Milnor algebra \(A_f\) up to a choice of coordinates; and the cohomology of the canonical Milnor fiber, H. Indeed, one has defined on \(\Omega ^f\) , and hence in \(A_f\) , the non-degenerate Grothendieck pairing \(res_{f,0}\) which is a symmetric \(\mathbb {C}\) -bilinear form, and on the vanishing cohomology H it is defined a non-degenerate \(\mathbb {C}\) -bilinear form \(\mathbb {S}\) , induced by Poincaré duality, which is \((-1)^{n+1}\) -symmetric on the generalized monodromy eigenspace \(H_{1}\) and \((-1)^{n}\) -symmetric on the direct sum of generalized monodromy eigenspaces \(H_{\ne 1}:=\oplus _{\lambda \ne 1}H_{\lambda }\) . On the other hand, there are two nilpotent \(\mathbb {C}\) -linear maps defined on \(\Omega ^f\) and H, respectively; the first one is the map \(\{\mathbf {f}\}\) given by multiplication with f, which is \(res_{f,0}\) -symmetric, and the other one is the \(\mathbb {S}\) -antisymmetric endomorphism N given by the logarithm of the unipotent part of the monodromy transformation. New bilinear forms can be constructed by composing on the left (or equivalently on the right) with powers of such nilpotent maps: \(res_{f,0}(\{\mathbf {f}\}^{\ell }\bullet ,\bullet )\) and \(\mathbb {S}(N^{\ell }\bullet ,\bullet )\) for each integer \(\ell \ge 1\) . These new bilinear forms are called higher bilinear forms on \(\Omega ^f\) resp. on H. In this paper, we show a formula which relates the powers \(\{\mathbf {f}\}^{\ell }\) ,
      PubDate: 2018-03-01
      DOI: 10.1007/s00574-018-0075-y
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