From the 1 of 4 linked papers with an AI index.
88 citations · 100 across the 2 of their papers we have counts for
4 papers
Almost all orbits of the Collatz map attain almost bounded values
Terence Tao
The paper proves that for any function f(N) that tends to infinity, the minimal value in the Collatz orbit of almost every positive integer (in logarithmic density) is at most f(N)…
Random covariance matrices: Universality of local statistics of eigenvalues
Terence Tao, Van Vu
We study the eigenvalues of the covariance matrix of a large rectangular matrix whose entries are i.i.d. rando…
An inverse theorem for the Gowers U^{s+1}[N]-norm
Ben Green, Terence Tao, Tamar Ziegler
We prove the inverse conjecture for the Gowers U^{s+1}[N]-norm for all s >= 3; this is new for s > 3, and the cases s<3 have also been previously established. More precisely, we es…
Large prime gaps and probabilistic models
William Banks, Kevin Ford, Terence Tao
We introduce a new probabilistic model of the primes consisting of integers that survive the sieving process when a random residue class is selected for every prime modulus below a…