On homogeneous pinning models and penalizations

Mathematics – Probability

Scientific paper

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Scientific paper

In this note, we show how the penalization method, introduced in order to
describe some non-trivial changes of the Wiener measure, can be applied to the
study of some simple polymer models such as the pinning model. The bulk of the
analysis is then focused on the study of a martingale which has to be computed
as a Markovian limit.

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