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math.NT2026
Galois groups of random polynomials of large degree
Guy Blachar, Emmanuel Breuillard, Gady Kozma
We study random polynomials of the form , where are independent, uniformly bounded integer-valued random variables, and $ω_1…
math.CO2026
Edge-regular graphs with non-negative curvature have polynomial growth
Guy Blachar, Hervé Pajot, Justin Salez
A long-standing conjecture in the emerging discrete Bakry-Émery theory asserts that bounded-degree graphs satisfying have polynomial growth. In the present…
math.GR2026
Small entropy doubling for random walks and polynomial growth
Guy Blachar
Gromov's theorem states that a finitely generated group has polynomial growth if and only if it is virtually nilpotent. A key ingredient in its proof is the small doubling property…