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The Partition Function of the Dirichlet Operator D 2 s = ∑ i = 1 d ( - ∂ i 2 ) s on a d -Dimensional Rectangle Cavity
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We study the asymptotic behavior of the free partition function in the t → 0 + limit for a diffusion process which consists of d -independent, one-dimensional, symmetric, 2 s -stable processes in a hyperrectangular cavity K ⊂ R d with an absorbing boundary.
Each term of the partition function for this polyhedron in d -dimensions can be represented by a quermassintegral and the geometrical information conveyed by the eigenvalues of the fractional Dirichlet Laplacian for this solvable model is now transparent.
We also utilize the intriguing method of images to solve the same problem, in one and two dimensions, and recover identical results to those derived in the previous analysis.
American Psychological Association (APA)
Hatzinikitas, Agapitos N.. 2015. The Partition Function of the Dirichlet Operator D 2 s = ∑ i = 1 d ( - ∂ i 2 ) s on a d -Dimensional Rectangle Cavity. Journal of Mathematics،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068690
Modern Language Association (MLA)
Hatzinikitas, Agapitos N.. The Partition Function of the Dirichlet Operator D 2 s = ∑ i = 1 d ( - ∂ i 2 ) s on a d -Dimensional Rectangle Cavity. Journal of Mathematics No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068690
American Medical Association (AMA)
Hatzinikitas, Agapitos N.. The Partition Function of the Dirichlet Operator D 2 s = ∑ i = 1 d ( - ∂ i 2 ) s on a d -Dimensional Rectangle Cavity. Journal of Mathematics. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068690
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068690