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On a random entanglement problem.
- Source :
-
IMA Journal of Applied Mathematics . Dec2022, Vol. 87 Issue 6, p1090-1120. 31p. - Publication Year :
- 2022
-
Abstract
- We study a model for the entanglement of a two-dimensional reflecting Brownian motion in a bounded region divided into two halves by a wall with three or more small windows. We map the Brownian motion into a Markov Chain on the fundamental groupoid of the region. We quantify entanglement of the path with the length of the appropriate element in this groupoid. Our main results are a law of large numbers and a central limit theorem for this quantity. The constants appearing in the limit theorems are expressed in terms of a coupled system of quadratic equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02724960
- Volume :
- 87
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IMA Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 161404504
- Full Text :
- https://doi.org/10.1093/imamat/hxac031