When the geodesic becomes rigid in the directed landscape
نویسندگان
چکیده
When the value L of directed landscape at a point (p;q) is sufficiently large, geodesic from p to q rigid and its location fluctuates order L−1∕4 around expectation. We further show that midpoint geodesic, after appropriate scaling converge two independent Gaussians.
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ژورنال
عنوان ژورنال: Electronic Communications in Probability
سال: 2022
ISSN: ['1083-589X']
DOI: https://doi.org/10.1214/22-ecp484