# Sausage Volume of the Random String and Survival in a medium of Poisson Traps

@inproceedings{Athreya2022SausageVO, title={Sausage Volume of the Random String and Survival in a medium of Poisson Traps}, author={Siva Athreya and Mathew Joseph and Carl Mueller}, year={2022} }

. We provide asymptotic bounds on the survival probability of a moving polymer in an environment of Poisson traps. Our model for the polymer is the vector-valued solution of a stochastic heat equation driven by additive spacetime white noise; solutions take values in R d , d ≥ 1. We give upper and lower bounds for the survival probability in the cases of hard and soft obstacles. Our bounds decay exponentially with rate proportional to T d/ ( d +2) , the same exponent that occurs in the case of…

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