Fermion Process and Fredholm Determinant
By Tomoyuki Shirai, Yoichiro Takahashi. 2000
39 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistics and Probability
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Mathematical Physics
- Russell Lyons
- Alex Kulesza
- B. Taskar
- Tomoyuki Shirai
- Yoichiro Takahashi
- Alexei Borodin
- Rémi Bardenet
- Adrien Hardy
In Statistics and Probability
- Russell Lyons
- Alex Kulesza
- B. Taskar
- Tomoyuki Shirai
- Yoichiro Takahashi
- Alexei Borodin
- Subhro Ghosh
- Yuval Peres
Citations in the corpus
- Determinantal Point Processes for Machine Learning (2012, background): “…2003, Borodin and Rains, 2005, Borodin et al., 2010, Burton and Pemantle, 1993, Johansson, 2002, 2004, 2005a, Okounkov, 2001, Okounkov and Reshetikhin, 2003, Shirai and Takahashi, 2000], and much progress has been made in understanding their formal combinatorial and probabilistic properties.”
- Determinantal probability measures (2002, background): “The property (5.2) (in an equivalent form) appears in several places in the literature, including Theorem 3.1 of Shirai and Takahashi (2000) and Proposition A.8 of Borodin, Okounkov, and Olshanski (2000).”
- Random point fields associated with certain Fredholm determinants II: Fermion shifts and their ergodic and Gibbs properties (2003, methodology): “We continue to assume that K is symmetric as in [17, 18] although the non-symmetric case is also studied in [1].”