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The short-time limit of the Dirichlet pa...
Hatzinikitas, Agapit...
The short-time limit of the Dirichlet partition function and the image method by Hatzinikitas, Agapitos N. ( Author )
Australian National University
06-09-2023
In this paper we rigorously derive the $t\rightarrow 0^+$ asymptotics of the free partition function $Z_{\Omega}(t)$ for a diffusion process on tessellations of the d-dimensional Euclidean space $\mathbb{E}^d, \, d=1,2,3$ with an absorbing boundary. Utilising the path integral approach and the method of images for domains which are compatible with finite reflection subgroups of the orthogonal group $\mathbb{O}_d$, we solve this problem following a group theoretic method which was lacking from the literature.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1410.1631
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