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Wigman, Igor

  1. Nodal length fluctuations for arithmetic random waves
    2011/11/11 by Manjunath Krishnapur, Pär Kurlberg, Krishnapur, Manjunath +3 · 3 citations
    Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Number Theory (math.NT) #Probability (math.PR) #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Stochastic processes and statistical mechanics
  2. On the nodal structures of random fields -- a decade of results
    2022/06/20 by Igor Wigman, Wigman, Igor · 3 citations
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Mathematical Physics (math-ph) #Number Theory (math.NT) #Probability (math.PR)
  3. No repulsion between critical points for planar Gaussian random fields
    2019/11/07 by Beliaev, Dmitry, Cammarota, Valentina, Wigman, Igor · 2 citations
    #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
  4. The Leray measure of nodal sets for random eigenfunctions on the torus
    2006/09/26 by Ferenc Oravecz, Zeév Rudnick, Oravecz, Ferenc +3 · 1 citation
    Mathematics · Computer Science · #Geometry and complex manifolds #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering
  5. On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus
    2023/01/02 by Zeév Rudnick, Rudnick, Zeév, Igor Wigman +1 · 1 citation
    Mathematics · #30F60 #58J50 (Secondary) #81Q50 (Primary) 11F72 #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Mathematical Physics (math-ph) #Number Theory (math.NT) #Spectral Theory (math.SP) #Stochastic processes and statistical mechanics
  6. Almost sure GOE fluctuations of energy levels for hyperbolic surfaces of high genus
    2023/01/14 by Rudnick, Zeév, Wigman, Igor · 1 citation
    #11F72 #30F60 #58J50 #81Q50 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Mathematical Physics (math-ph) #Probability (math.PR) #Spectral Theory (math.SP)