10 citations · 13 across the 12 of their papers we have counts for
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math.DS2019
Dynamic of generalized transvections
Guido Ahumada, Nicolas Chevallier
Given an increasing odd homeomorphism : R R, the two bijective maps h , v : R 2 R 2 dened by h (x, y) = (x + --1 (y), y) and v (…
math.NT2019
Levy-Khintchin Theorem for best simultaneous Diophantine approximations
Yitwah Cheung, Nicolas Chevallier
We extend two results about the ordinary continued fraction expansion to best simultaneous Diophantine approximations of vectors or matrices. The first is Levy-Khintchin Theorem ab…
math.GR2019
Fixating Group Actions
Guido Ahumada, Bernard Brighi, Nicolas Chevallier +1
A group of bijections G acting on a set X is said with fixed points (abbreviated as gaf from the french "groupe {à} points fixes") if any element of G has at least one fixed point…