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math.PR2018
Lyapunov exponent and variance in the CLT for products of random matrices related to random Fibonacci sequences
Rajeshwari Majumdar, Phanuel Mariano, Hugo Panzo +2
We consider three matrix models of order 2 with one random entry and the other three entries being deterministic. In the first model, we let $ε\sim\textrm{Bernoulli}\left(\frac…
math.PR2018
The subcritical phase for a homopolymer model
Iddo Ben-Ari, Hugo Panzo
We study a model of continuous-time nearest-neighbor random walk on penalized by its occupation time at the origin, also known as a homopolymer. For a fixed real par…
math.PR2018
Scaled penalization of Brownian motion with drift and the Brownian ascent
Hugo Panzo
We study a scaled version of a two-parameter Brownian penalization model introduced by Roynette-Vallois-Yor in arXiv:math/0511102. The original model penalizes Brownian motion with…