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Algebra & number theory

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6,818 studies

  1. On amenability of group algebras, I
    Laurent Bartholdi
    Isr. J. Math.Peer-reviewedLicence not statedFull text18 citedAlgebra & number theoryHAL
  2. Iterated Monodromy Groups of Quadratic Polynomials, I
    Laurent Bartholdi, Volodymyr V. Nekrashevych
    Groups, Geometry, and DynamicsPeer-reviewedLicence not statedFull text33 citedAlgebra & number theoryDynamical systemsHAL
  3. A Mealy machine with polynomial growth of irrational degree
    Laurent Bartholdi, Illya Reznykov
    International Journal of Algebra and ComputationPeer-reviewedLicence not statedFull text5 citedAlgebra & number theoryHAL
  4. Maximal unramified 3-extensions of imaginary quadratic fields and \textrm SL\sb 2(\mathbb Z\sb 3)
    Laurent Bartholdi, Michael R. Bush
    Journal of Number TheoryPeer-reviewedLicence not stated10 citedAlgebra & number theoryHAL
  5. Automata, groups, limit spaces and tilings
    Laurent Bartholdi, André G. Henriques, Volodymyr V. Nekrashevych
    Journal of AlgebraPeer-reviewedLicence not stated10 citedAlgebra & number theoryHAL
  6. The smallest Mealy automaton of intermediate growth
    Laurent Bartholdi, Illya I. Reznykov, Vitaly I. Sushchansky
    Journal of AlgebraPeer-reviewedLicence not stated30 citedAlgebra & number theoryHAL
  7. The automorphism tower of groups acting on rooted trees
    Laurent Bartholdi, Said N. Sidki
    Transactions of the American Mathematical SocietyPeer-reviewedPublic domainFull text10 citedAlgebra & number theoryHAL
  8. On the word and period growth of some groups of tree automorphisms
    Laurent Bartholdi, Zoran Sunik
    Communications in AlgebraPeer-reviewedLicence not statedFull text44 citedAlgebra & number theoryHAL
  9. Lie algebras and growth in branch groups
    Laurent Bartholdi
    Pacific Journal of MathematicsPeer-reviewedLicence not statedFull text18 citedAlgebra & number theoryHAL
  10. Amenability via random walks
    Laurent Bartholdi, Bálint Virág
    Duke Mathematical JournalPeer-reviewedLicence not statedFull text136 citedAlgebra & number theoryHAL
  11. Spectral computations on lamplighter groups and Diestel-Leader graphs
    Laurent Bartholdi, Wolfgang Woess
    Journal of Fourier Analysis and ApplicationsPeer-reviewedLicence not statedFull text61 citedAlgebra & number theoryAnalysis & PDEsHAL
  12. Endomorphic presentations of branch groups
    Laurent Bartholdi
    Journal of AlgebraPeer-reviewedLicence not statedFull text65 citedAlgebra & number theoryHAL
  13. A Wilson group of non-uniformly exponential growth
    Laurent Bartholdi
    Comptes Rendus. MathématiquePeer-reviewedLicence not statedFull text20 citedAlgebra & number theoryHAL
  14. Growth series and random walks on some hyperbolic graphs
    Laurent Bartholdi, Tullio G. Ceccherini-Silberstein
    Monatshefte für MathematikPeer-reviewedLicence not statedFull text10 citedAlgebra & number theoryHAL
  15. Salem numbers and growth series of some hyperbolic graphs
    Laurent Bartholdi, Tullio G. Ceccherini-Silberstein
    Geometriae DedicataPeer-reviewedLicence not statedFull text15 citedAlgebra & number theoryHAL
  16. Sous-groupes paraboliques et représentations de groupes branchés
    Rostislav I. Grigorchuk, Laurent Bartholdi
    Comptes rendus de l'Académie des sciences. Série I, Mathématique [1984-2001]Peer-reviewedLicence not statedFull text5 citedAlgebra & number theoryHAL
  17. Spectra of non-commutative dynamical systems and graphs related to fractal groups
    Laurent Bartholdi, Rostislav I. Grigorchuk
    Comptes rendus de l'Académie des sciences. Série I, Mathématique [1984-2001]Peer-reviewedLicence not statedFull text8 citedAlgebra & number theoryHAL
  18. The growth of Grigorchuk's torsion group
    Laurent Bartholdi
    International Mathematics Research NoticesPeer-reviewedLicence not statedFull text22 citedAlgebra & number theoryHAL
  19. Prescribed digit sums in residue classes and a conjecture of Murthy (OEIS A077754)
    Frédéric Gaudin
    Zenodo (CERN European Organization for Nuclear Research)PreprintCC BY6 citedAlgebra & number theoryOpenAlex
  20. A Variational Principle for the Parabolic Response Function (Part II): Lyapunov Scale-Dissipation, Energy Curvature, and the Geometric Prohibition of O-Critical Zeros
    Aziz Arbai
    HALPreprintCC BY 4.0Full textAlgebra & number theoryAnalysis & PDEsDynamical systemsHAL
  21. A normalization issue in a transmitted form of Bloch's diamond formula: anti-invariant subgroup versus regulator quotient
    Huimin Zheng
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  22. Hochschild cohomology of Temperley--Lieb algebras: a Kauffman diagram perspective
    Viktor Lopatkin
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  23. Automatic partition identities
    Laurent Bartholdi
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryCombinatorics & discrete mathematicsarXiv
  24. Some instances of modularity for residually reducible representations in the mixed case
    Luis V. Dieulefait
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  25. Binomial Artin-Schelter Regular Algebras and Twisted Monoid Algebras
    Vishal Bhatoy
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv