Number of paths in oriented percolation as zero temperature limit of directed polymer
R Fukushima, S Junk - Probability Theory and Related Fields, 2022 - Springer
We prove that the free energy of directed polymer in Bernoulli environment converges to the
growth rate for the number of open paths in super-critical oriented percolation as the …
growth rate for the number of open paths in super-critical oriented percolation as the …
Comparison of partition functions in a space–time random environment
S Junk - Journal of Statistical Physics, 2020 - Springer
Abstract Let Z^ 1 Z 1 and Z^ 2 Z 2 be partition functions in the random polymer model in the
same environment but driven by different underlying random walks. We give a comparison …
same environment but driven by different underlying random walks. We give a comparison …
Random polymers in disastrous environments
S Junk - 2019 - mediatum.ub.tum.de
We study a random walk on Z^ d in a random environment of space-time disasters and
consider the decay rate of its quenched survival probability. We then study the associated …
consider the decay rate of its quenched survival probability. We then study the associated …
Directed polymers and the KPZ equation
C Cosco - 2019 - theses.hal.science
This thesis is dedicated to the study of the links between directed polymers in random
environment, the stochastic heat equation with multiplicative noise (SHE) and the Kardar …
environment, the stochastic heat equation with multiplicative noise (SHE) and the Kardar …