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math.PR2004
Directed Polymers in Random Environment are Diffusive at Weak Disorder
Francis Comets, Nobuo Yoshida
In this paper, we consider directed polymers in random environment with discrete space and time. For transverse dimension at least equal to 3, we prove that diffusivity holds for t…
math.PR2000
The spectral gap of the 2-D stochastic Ising model with mixed boundary conditions
Kenneth S. Alexander, Nobuo Yoshida
We establish upper bounds for the spectral gap of the stochastic Ising model at low temperatures in an n-by-n box with boundary conditions which are not purely plus or minus; speci…