Among his main areas of interest are Gibbs measure of the Ising model, percolation theory, and finite Bernoulli schemes, within which he proved an approximate version of the classical Kolmogorov's zero–one law.
In the History of Science, he has reconstructed some contributions of the Hellenistic astronomer Hipparchus, through the analysis of his surviving works, and the proof of heliocentrism attributed by Plutarch to Seleucus of Seleucia and studied the history of theories of tides, from the Hellenistic to modern age.
In The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had to Be Reborn (Italian: La rivoluzione dimenticata), Russo promotes the belief that Hellenistic science in the period 320-144 BC reached heights not achieved by Classical age science, and proposes that it went further than ordinarily thought, in multiple fields not normally associated with ancient science.
Hellenistic science was focused on the city of Alexandria. The emerging scientific revolution in Alexandria was ended when Ptolemy VIII Physcon came to power. He engaged in mass purges and expulsions of all intellectuals. Other centers of Hellenistic science mentioned in Russo's book were Antioch, Pergamon, Cyzicus, Rhodes, Syracuse and Massilia.
He also concludes that the 17th-century scientific revolution in Europe was due in large part to the recovery of Hellenistic science. The Forgotten Revolution has received mixed reviews, praising Russo's enthusiasm but noting that his conclusions outreach his sources.
In L' America dimenticata, Russo suggests that the Americas were known to some European civilizations in ancient times, probably discovered by the Phoenicians or the Carthaginians, but that the knowledge was lost under Roman expansion in the 2nd century BCE.
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