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Lubotzky, Alexander

  1. Locally Testable Codes with constant rate, distance, and locality
    2021/11/08 by Irit Dinur, Shai Evra, Dinur, Irit +7 · 1 voice · 12 citations
    Computer Science · Mathematics · #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Group Theory (math.GR) #Information Theory (cs.IT) #cs.CC #cs.IT #math.GR
  2. Expander Graphs in Pure and Applied Mathematics
    2011/05/12 by Alexander Lubotzky, Lubotzky, Alexander · 4 citations
    Computer Science · Mathematics · #01-02 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Limits and Structures in Graph Theory
  3. Group stability and Property (T)
    2018/09/03 by Becker, Oren, Lubotzky, Alexander · 3 citations
    #FOS: Mathematics #Group Theory (math.GR)
  4. Dynamics of Aut(Fn) Actions on Group Presentations and Representations
    2011/09/01 by Lubotzky, Alexander · 2 citations
    #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)
  5. Non p-norm approximated Groups
    2018/07/18 by Lubotzky, Alexander, Oppenheim, Izhar · 3 citations
    #Algebraic Topology (math.AT) #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR)
  6. Ramanujan Complexes and High Dimensional Expanders
    2013/01/06 by Lubotzky, Alexander · 2 citations
    #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT)
  7. Isoperimetric Inequalities for Ramanujan Complexes and Topological Expanders
    2014/09/04 by Kaufman, Tali, Kazhdan, David, Lubotzky, Alexander · 2 citations
    #Combinatorics (math.CO) #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
  8. High Dimensional Expanders
    2017/12/07 by Lubotzky, Alexander · 2 citations
    #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Representation Theory (math.RT)
  9. Stability and instability of lattices in semisimple groups
    2023/03/15 by Uri Bader, Alexander Lubotzky, Bader, Uri +5 · 4 citations
    Mathematics · #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology
  10. Explicit Lossless Vertex Expanders
    2025/04/21 by Hsieh, Jun-Ting, Lubotzky, Alexander, Mohanty, Sidhanth +2 · 7 citations
    #Combinatorics (math.CO) #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Group Theory (math.GR)
  11. Linear Representations of the Automorphism Group of a Free Group
    2006/06/08 by Grunewald, Fritz, Lubotzky, Alexander · 1 citation
    #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)
  12. Representation Growth for Linear Groups
    2006/07/16 by Larsen, Michael, Lubotzky, Alexander · 1 citation
    #11M41 #20E07 #22E35 #22E40 #FOS: Mathematics #Group Theory (math.GR)
  13. The Finitary Andrews-Curtis Conjecture
    2011/03/07 by Alexandre Borovik, Alexander Lubotzky, Borovik, Alexandre V. +3 · 1 citation
    Computer Science · Mathematics · #Advanced Graph Theory Research #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)
  14. Sieve methods in group theory I: Powers in Linear groups
    2011/07/19 by Alexander Lubotzky, Chen Meiri, Lubotzky, Alexander +1 · 1 citation
    Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Limits and Structures in Graph Theory
  15. High Dimensional Expanders and Property Testing
    2013/12/09 by Tali Kaufman, Alexander Lubotzky, Kaufman, Tali +1 · 1 citation
    Computer Science · Mathematics · #Advanced Graph Theory Research #Combinatorics (math.CO) #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Topological and Geometric Data Analysis
  16. Random methods in 3-manifold theory
    2014/05/25 by Alexander Lubotzky, Joseph Maher, Lubotzky, Alexander +3 · 1 citation
    Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Probability (math.PR)
  17. Invariable Generation of Infinite Groups
    2014/07/17 by William M. Kantor, Alexander Lubotzky, Kantor, William M. +3 · 1 citation
    Computer Science · Engineering · Mathematics · #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #semigroups and automata theory
  18. Generalized triangle groups, expanders, and a problem of Agol and Wise
    2017/02/27 by Lubotzky, Alexander, Manning, Jason Fox, Wilton, Henry · 1 citation
    #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
  19. Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom
    2024/10/03 by Michael Chapman, Chapman, Michael, Yotam Dikstein +3 · 3 citations
    Mathematics · #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Mathematical and Theoretical Analysis #advanced mathematical theories
  20. Good Locally Testable Codes
    2022/07/25 by Dinur, Irit, Evra, Shai, Livne, Ron +2 · 1 citation
    #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Group Theory (math.GR) #Information Theory (cs.IT)
  21. Ramanujan Complexes and bounded degree topological expanders
    2014/08/27 by Kaufman, Tali, Kazhdan, David, Lubotzky, Alexander · 1 citation
    #Combinatorics (math.CO) #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)
  22. Stability of Homomorphisms, Coverings and Cocycles I: Equivalence
    2023/10/26 by Chapman, Michael, Lubotzky, Alexander · 2 citations
    #FOS: Mathematics #Group Theory (math.GR)
  23. Stability of Homomorphisms, Coverings and Cocycles II: Examples, Applications and Open problems
    2023/11/12 by Chapman, Michael, Lubotzky, Alexander · 2 citations
    #FOS: Mathematics #Group Theory (math.GR)
  24. Low Acceptance Agreement Tests via Bounded-Degree Symplectic HDXs
    2024/02/02 by Yotam Dikstein, Irit Dinur, Dikstein, Yotam +3 · 1 citation
    Computer Science · Engineering · #Advanced Control Systems Optimization #Combinatorics (math.CO) #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #Fault Detection and Control Systems #Formal Methods in Verification #Group Theory (math.GR)
  25. The Aldous--Lyons Conjecture I: Subgroup Tests
    2024/07/31 by Lewis Bowen, Bowen, Lewis, Michael Chapman +5 · 2 citations
    Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #Probability (math.PR) #semigroups and automata theory
  26. On L1-approximation of groups
    2025/08/24 by Bachner, Benjamin, Dogon, Alon, Lubotzky, Alexander · 2 citations
    #19C09 #20E26 #20F69 #22E40 #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR)