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math.AP2025
On an Analytical Criterion for Detecting Intermittent Turbulent Behaviour of Solutions of Partial Differential Equations
Michele V Bartuccelli, Guido Gentile
A main question in the study of partial differential equations is the following: how do we understand the nature of the solutions and, in particular, how do we determine if a given…
math.NT2025
Some subsets of set F in the diluted Hofstadter problem
Jonathan H. B. Deane, Guido Gentile
We continue work started in [1] concerning integer sequences q(n), n in N, defined by q(n) = q(n-q(n-1)) + f(n), with q(1) = 1. Here, f(n), with f(1) = 0, is a given sequence. We d…