Probability theory for random groups arising in number theory
From MaRDI portal
Publication:6118130
DOI10.4171/icm2022/145arXiv2301.09687OpenAlexW4389817763MaRDI QIDQ6118130
Publication date: 20 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.09687
Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Probability distributions: general theory (60E05) Random matrices (algebraic aspects) (15B52) Class numbers, class groups, discriminants (11R29) Density theorems (11R45) Probabilistic methods in group theory (20P05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
- Matrices with restricted entries and \(q\)-analogues of permutations
- Cohen-Lenstra heuristic and roots of unity
- The distribution of \(p\)-torsion in degree \(p\) cyclic fields
- Finite covers of random 3-manifolds
- On the 4-rank of class groups of quadratic number fields
- Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
- Extension of conjectures of Cohen and Lenstra
- The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
- Random matrices, the Cohen-Lenstra heuristics, and roots of unity
- Moments and interpretations of the Cohen-Lenstra-Martinet heuristics
- Random integral matrices: universality of surjectivity and the cokernel
- The free group on \(n\) generators modulo \(n + u\) random relations as \(n\) goes to infinity
- Cohen-Lenstra heuristics and local conditions
- Heuristics for \(p\)-class towers of imaginary quadratic fields
- The asymptotic probability that a random biased matrix is invertible
- Singularity Probabilities for Random Matrices over Finite Fields
- Random maximal isotropic subspaces and Selmer groups
- On the probabilities of local behaviors in abelian field extensions
- The rank of sparse random matrices over finite fields
- Non-abelian Cohen–Lenstra heuristics over function fields
- HEURISTICS FOR -CLASS TOWERS OF REAL QUADRATIC FIELDS
- On class groups of random number fields
- The distribution of sandpile groups of random regular graphs
- A Note on Jacobians, Tutte Polynomials, and Two-Variable Zeta Functions of Graphs
- The distribution of sandpile groups of random graphs
- Random integral matrices and the Cohen-Lenstra heuristics
- Profinite Groups
- Algorithmic Number Theory
- Pro-finite presentations
This page was built for publication: Probability theory for random groups arising in number theory
