Integrable systems and combinatorial theory

By Percy Deift. 2000

93 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/fcc0193b9d89154f06d46d5a8ee7b3f2310615be

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Citations in the corpus

Analytic Combinatorics (2009, background): “We regretfully redirect the reader to relevant presentations of the beau tiful theory surrounding this sensational result, for instance [10, 148].”
Universality for mathematical and physical systems (2006, unknown): “ins in the theory of integrable systems, as in [DeiZho]. There is no space in this article to describe the implementation of any of the above techniques in any detail. Instead, we refer the reader to [Dei2], which is addressed to a general mathematical audience, for a description of the proof of (46”
PATTERNS IN EIGENVALUES: THE 70TH JOSIAH WILLARD GIBBS LECTURE (2003, methodology): “The work of Baik-Deift-Johansson on an integrable systems approach to largest eigenvalues and the longest increasing subsequence of a random permutation is surveyed in [27].”
On quantum statistical inference (2003, background): “able in Biane (1998a,b) and Barndorﬀ-Nielsen and Thorbjørnsen (2001). Furthermore, there are deep connectionsbetweenthe theoryofrandommatricesandthat oflongestincreasingsubsequences, see for instance Deift (2000). We also wish to draw attention to a recent paper by Biane and Speicher (2001) which in”
On the distribution of the largest eigenvalue in principal components analysis (2001, background): “Further detail may be found in the expository article Deift (1999a) .”
Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture (2003, methodology): “The work of Baik-Deift-Johansson on an integrable systems approach to largest eigenvalues and the longest increasing subsequence of a random permutation is surveyed in [27].”
Stein’s method and Plancherel measure of the symmetric group (2003, methodology): “As it is beyond the scope of this paper to survey the topic, we refer the reader to the surveys [AlD], [ De ] and the seminal papers [J], [O], [BOO] for a glimpse of the remarkable recent work on Plancherel measure.”
Moderate deviations for longest increasing subsequences: The upper tail (2001, background): “For a survey over recent developments in Ulam's problem and explanations of the cross-connections mentioned above, the reader is referred to a recent article by Deift [4].”