Matches in SemOpenAlex for { <https://semopenalex.org/work/W4362685764> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W4362685764 endingPage "100" @default.
- W4362685764 startingPage "81" @default.
- W4362685764 abstract "We consider the orthogonal $$R_n$$ theta functions which are the special cases of the biorthogonal functions studied in Chap. 3 . Here we extend the real argument x of these functions to complex variable $$z=x+iy$$ and define seven types of orthonormal $$R_n$$ theta functions $${Psi ^{R_n}_j(z)}_{j=1}^n$$ in the fundamental domain $$D_{(2 pi , 2 pi |tau |)}$$ in $$mathbb {C}$$ , which is given by a $$2 pi times 2 pi |tau |$$ rectangular domain. Then seven types of DPPs are introduced so that the correlation functions are expressed by the orthonormal functions. We prove that the probability laws of the obtained DPPs exhibit double periodicity having $$D_{(2 pi , 2 pi |tau |)}$$ as the fundamental domain in $$mathbb {C}$$ . In other words, seven types of DPPs are constructed on the two-dimensional torus $$mathbb {T}^2$$ . We show that in the infinite-particle limit, the seven types of DPPs on $$mathbb {T}^2$$ are reduced to the three types of infinite DPPs on $$mathbb {C}$$ . One of them is the uniform DPP on $$mathbb {C}$$ , which is identified with the Ginibre DPP well-studied in random matrix theory. The other two DPPs are new, and are rotationally invariant but inhomogeneous in the radial direction." @default.
- W4362685764 created "2023-04-08" @default.
- W4362685764 creator A5029347100 @default.
- W4362685764 date "2023-01-01" @default.
- W4362685764 modified "2023-09-27" @default.
- W4362685764 title "Doubly Periodic Determinantal Point Processes" @default.
- W4362685764 doi "https://doi.org/10.1007/978-981-19-9527-9_6" @default.
- W4362685764 hasPublicationYear "2023" @default.
- W4362685764 type Work @default.
- W4362685764 citedByCount "0" @default.
- W4362685764 crossrefType "book-chapter" @default.
- W4362685764 hasAuthorship W4362685764A5029347100 @default.
- W4362685764 hasConcept C114614502 @default.
- W4362685764 hasConcept C121332964 @default.
- W4362685764 hasConcept C134306372 @default.
- W4362685764 hasConcept C154945302 @default.
- W4362685764 hasConcept C158453530 @default.
- W4362685764 hasConcept C158693339 @default.
- W4362685764 hasConcept C190470478 @default.
- W4362685764 hasConcept C196216189 @default.
- W4362685764 hasConcept C2524010 @default.
- W4362685764 hasConcept C33923547 @default.
- W4362685764 hasConcept C36503486 @default.
- W4362685764 hasConcept C37914503 @default.
- W4362685764 hasConcept C41008148 @default.
- W4362685764 hasConcept C47432892 @default.
- W4362685764 hasConcept C53009064 @default.
- W4362685764 hasConcept C5806529 @default.
- W4362685764 hasConcept C62520636 @default.
- W4362685764 hasConcept C64812099 @default.
- W4362685764 hasConcept C9767117 @default.
- W4362685764 hasConceptScore W4362685764C114614502 @default.
- W4362685764 hasConceptScore W4362685764C121332964 @default.
- W4362685764 hasConceptScore W4362685764C134306372 @default.
- W4362685764 hasConceptScore W4362685764C154945302 @default.
- W4362685764 hasConceptScore W4362685764C158453530 @default.
- W4362685764 hasConceptScore W4362685764C158693339 @default.
- W4362685764 hasConceptScore W4362685764C190470478 @default.
- W4362685764 hasConceptScore W4362685764C196216189 @default.
- W4362685764 hasConceptScore W4362685764C2524010 @default.
- W4362685764 hasConceptScore W4362685764C33923547 @default.
- W4362685764 hasConceptScore W4362685764C36503486 @default.
- W4362685764 hasConceptScore W4362685764C37914503 @default.
- W4362685764 hasConceptScore W4362685764C41008148 @default.
- W4362685764 hasConceptScore W4362685764C47432892 @default.
- W4362685764 hasConceptScore W4362685764C53009064 @default.
- W4362685764 hasConceptScore W4362685764C5806529 @default.
- W4362685764 hasConceptScore W4362685764C62520636 @default.
- W4362685764 hasConceptScore W4362685764C64812099 @default.
- W4362685764 hasConceptScore W4362685764C9767117 @default.
- W4362685764 hasLocation W43626857641 @default.
- W4362685764 hasOpenAccess W4362685764 @default.
- W4362685764 hasPrimaryLocation W43626857641 @default.
- W4362685764 hasRelatedWork W1567820000 @default.
- W4362685764 hasRelatedWork W1968427005 @default.
- W4362685764 hasRelatedWork W1999336620 @default.
- W4362685764 hasRelatedWork W2023544748 @default.
- W4362685764 hasRelatedWork W2087192893 @default.
- W4362685764 hasRelatedWork W2954373837 @default.
- W4362685764 hasRelatedWork W4252753289 @default.
- W4362685764 hasRelatedWork W4283008489 @default.
- W4362685764 hasRelatedWork W4288313590 @default.
- W4362685764 hasRelatedWork W2139696407 @default.
- W4362685764 isParatext "false" @default.
- W4362685764 isRetracted "false" @default.
- W4362685764 workType "book-chapter" @default.