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Alon, Lior

  1. Morse theory for discrete magnetic operators and nodal count distribution for graphs
    2022/12/01 by Lior Alon, Mark Goresky, Alon, Lior +1 · 3 citations
    Mathematics · #05C50 #58J50 #81Q10 #81Q35 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Graph theory and applications #Mathematical Physics (math-ph) #Random Matrices and Applications #Spectral Theory in Mathematical Physics
  2. Average Nodal Count and the Nodal Count Condition for Graphs
    2024/04/04 by Lior Alon, Alon, Lior, John Urschel +1 · 2 citations
    Mathematics · #05C50 (Primary) 15A42 #15B35 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Stochastic processes and statistical mechanics
  3. Nodal count for a random signing of a graph with disjoint cycles
    2024/03/01 by Alon, Lior, Goresky, Mark · 2 citations
    #05C50 #58J50 #81Q10 #81Q35 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
  4. Higher Dimensional Fourier Quasicrystals from Lee-Yang Varieties
    2024/07/15 by Lior Alon, Alon, Lior, Mario Kummer +5 · 2 citations
    Materials Science · Mathematics · #14P05 #42A38 #42A75 #42B10 #52C23 #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Quasicrystal Structures and Properties
  5. Smooth critical points of eigenvalues on the torus of magnetic perturbations of graphs
    2025/05/22 by Alon, Lior, Berkolaiko, Gregory, Goresky, Mark · 3 citations
    #05C50 #58J50 #81Q10 #81Q35 #FOS: Physical sciences #Mathematical Physics (math-ph)