49 citations · 161 across the 26 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.DS2022
An asymptotic for sums of Lyapunov exponents in families
Patrick Ingram, David Jaramillo-Martinez, Jorge Mello
Let f_t be a meromorphic family of endomorphisms of P^N_C of degree at least 2, and let L(f_t) be the sum of Lyapunov exponents associated to f_t. Favre showed that L(f_t)=L(f)\log…
math.NT2022
A remark on post-critically finite compositions of polynomials
Benjamin Fraser, Patrick Ingram
The second author proved that the set of post-critically finite polynomials of given degree is a set of bounded height, up to change of variables. Motivated by an observation about…
math.NT2022
Explicit canonical heights for divisors relative to endomorphisms of
Patrick Ingram
Given an endomorphism f of projective space, we exhibit explicit bounds on the difference between the naive height of a divisor and its canonical height relative to f.