Johannes Alt
- Poisson statistics and localization at the spectral edge of sparse Erdős-Rényi graphs
2021/06/23 by Johannes Alt, Alt, Johannes, Raphaël Ducatez +3 · 2 citations
Computer Science · Mathematics · #05C80 #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Point processes and geometric inequalities #Probability (math.PR) #Random Matrices and Applications #Topological and Geometric Data Analysis
- The Dyson equation with linear self-energy: spectral bands, edges and cusps
2018/04/20 by Johannes Alt, Alt, Johannes, László Erdős +3 · 1 citation
Mathematics · #45Gxx #46L10 #46Txx #60B20 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Probability (math.PR) #Spectral Theory in Mathematical Physics
- Local elliptic law
2021/02/05 by Johannes Alt, Torben Krüger, Alt, Johannes +1 · 1 citation
Mathematics · Medicine · Physics and Astronomy · #15B52 #60B20 #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Theoretical and Computational Physics
- Localized phase for the Erdős-Rényi graph
2023/05/25 by Johannes Alt, Raphaël Ducatez, Alt, Johannes +3 · 1 citation
Mathematics · Physics and Astronomy · #05C50 #05C80 #15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Theoretical and Computational Physics
- Extremal eigenvalues of critical Erdős-Rényi graphs
2019/05/08 by Johannes Alt, Alt, Johannes, Raphaël Ducatez +3 · 1 citation
Mathematics · #Stochastic processes and statistical mechanics #Graph theory and applications #Spectral Theory in Mathematical Physics