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math.PR2007
A quenched CLT for super-Brownian motion with random immigration
Wenming Hong, Ofer Zeitouni
A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension . At the critical dimension , the quenched and…
math.PR2007
A quenched invariance principle for certain ballistic random walks in i.i.d. environments
Noam Berger, Ofer Zeitouni
We prove that every random walk in i.i.d. environment in dimension greater than or equal to 2 that has an almost sure positive speed in a certain direction, an annealed invariance…