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The Self-repelling Burglar
Abstract
In this paper, we study the conditional location of XT given the local time profile LT(·) for two non-Markovian self-interacting processes: the polynomially self-repelling motion (PSRM) and the true self-repelling motion (TSRM). For TSRM, our novel approach yields a new proof of Dumaz's clever burglar result [Dumaz 2012].
Related
BibTeX
@misc{yu2026selfrepelling,
title = {{The Self-repelling Burglar}},
author = {Yaolin Yu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00854},
eprint = {2611.00854},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00854},
}
RIS
TY - UNPB
TI - The Self-repelling Burglar
AU - Yaolin Yu
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00854
UR - https://arxiv.org/abs/2611.00854
AB - In this paper, we study the conditional location of X_T given the local time profile L_T(·) for two non-Markovian self-interacting processes: the polynomially self-repelling motion (PSRM) and the true self-repelling motion (TSRM). For TSRM, our novel approach yields a new proof of Dumaz's clever burglar result [Dumaz 2012].
ER -