Green's functions of the fractional Laplacian on a square: Boundary considerations and applications to the Lévy flight narrow capture problem
For a particle undergoing a Lévy flight of index s∈(0,1) in the unit square, we analyze the first hitting time to a set of small targets of radius O(ɛ) for 0<ɛ≪1. In particular, we show how boundary interactions and the configuration of targets within the unit square impact the expected first hit...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2025-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/lzsl-pydp |
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