Alexander Lubotzky

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. Stability and instability of lattices in semisimple groups
   2023/03/15 by Uri Bader, Bader, Uri, Alexander Lubotzky +5 · 4 citations
   Mathematics · #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology
4. Presentations of finite simple groups: a computational approach
   2008/04/09 by Robert M. Guralnick, William M. Kantor, Guralnick, R. M. +5 · 1 citation
   Computer Science · Engineering · Mathematics · #20D06 #20F05 (Primary) #20J06 (Secondary) #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems
5. The Finitary Andrews-Curtis Conjecture
   2011/03/07 by Alexandre Borovik, Borovik, Alexandre V., Alexander Lubotzky +3 · 1 citation
   Computer Science · Mathematics · #Advanced Graph Theory Research #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)
6. Sieve methods in group theory I: Powers in Linear groups
   2011/07/19 by Alexander Lubotzky, Lubotzky, Alexander, Chen Meiri +1 · 1 citation
   Mathematics · #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Limits and Structures in Graph Theory
7. High Dimensional Expanders and Property Testing
   2013/12/09 by Tali Kaufman, Kaufman, Tali, Alexander Lubotzky +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
8. 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)
9. Invariable Generation of Infinite Groups
   2014/07/17 by William M. Kantor, Kantor, William M., Alexander Lubotzky +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
10. Conditional Non-Soficity of p-adic Deligne Extensions: on a Theorem of Gohla and Thom
    2024/10/03 by Michael Chapman, Yotam Dikstein, Chapman, Michael +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
11. Presentations of Finite Simple Groups: Profinite and Cohomological Approaches
    2007/11/18 by Robert M. Guralnick, Guralnick, Robert, William M. Kantor +5 · 1 citation
    Mathematics · #20D06 #20G10 #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Representation Theory (math.RT)
12. The Aldous--Lyons Conjecture I: Subgroup Tests
    2024/07/31 by Lewis Bowen, Bowen, Lewis, Michael Chapman +5 · 3 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
13. 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)
14. ℤ² is flexibly stable in the operator norm
    2026/07/20 by Alexander Lubotzky, Guy Salomon
    #math.OA #math.GR