What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Algebra
Jinho Baik focuses on Combinatorics, Discrete mathematics, Distribution, Random matrix and Longest increasing subsequence.
His biological study spans a wide range of topics, including Eigenvalues and eigenvectors, Hermitian matrix and Tracy–Widom distribution.
His research on Discrete mathematics focuses in particular on Random permutation.
While the research belongs to areas of Distribution, he spends his time largely on the problem of Infinity, intersecting his research to questions surrounding Asymptotic expansion.
His research in Random matrix intersects with topics in Statistical physics, Moment-generating function and Random variate.
The concepts of his Longest increasing subsequence study are interwoven with issues in Probability distribution, Fredholm determinant, Generating function, Measure and Diagram.
His most cited work include:
- On the distribution of the length of the longest increasing subsequence of random permutations (1142 citations)
- Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices (740 citations)
- Eigenvalues of large sample covariance matrices of spiked population models (540 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Combinatorics, Random matrix, Mathematical analysis, Eigenvalues and eigenvectors and Pure mathematics.
His Combinatorics study combines topics from a wide range of disciplines, such as Discrete mathematics, Longest increasing subsequence, Measure and Matrix.
Jinho Baik works mostly in the field of Longest increasing subsequence, limiting it down to topics relating to Distribution and, in certain cases, Generating function, as a part of the same area of interest.
The Random matrix study combines topics in areas such as Statistical physics, Moment-generating function and Scaling.
His research investigates the connection between Eigenvalues and eigenvectors and topics such as Hermitian matrix that intersect with issues in Rank.
In the field of Pure mathematics, his study on Orthogonal polynomials, Discrete orthogonal polynomials and Toeplitz matrix overlaps with subjects such as Riemann–Hilbert problem.
He most often published in these fields:
- Combinatorics (31.50%)
- Random matrix (24.41%)
- Mathematical analysis (20.47%)
What were the highlights of his more recent work (between 2015-2021)?
- Statistical physics (16.54%)
- Combinatorics (31.50%)
- Asymmetric simple exclusion process (9.45%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Statistical physics, Combinatorics, Asymmetric simple exclusion process, Initial value problem and Mathematical analysis.
The various areas that he examines in his Statistical physics study include Pfaffian, Random matrix and Gaussian.
His biological study deals with issues like Partition function, which deal with fields such as Spin glass.
His study deals with a combination of Combinatorics and Limiting.
His Asymmetric simple exclusion process course of study focuses on Scale and Ring, Fredholm determinant and Multiple integral.
His Distribution research is multidisciplinary, relying on both Function, Constant and Generating function.
Between 2015 and 2021, his most popular works were:
- Fluctuations of the Free Energy of the Spherical Sherrington–Kirkpatrick Model (40 citations)
- Combinatorics and Random Matrix Theory (37 citations)
- Multipoint distribution of periodic TASEP (34 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Algebra
His primary scientific interests are in Statistical physics, Distribution, Gaussian, Asymmetric simple exclusion process and Scale.
His research in Statistical physics focuses on subjects like Pfaffian, which are connected to Percolation, Position and Boundary.
Percolation is a subfield of Combinatorics that Jinho Baik studies.
His Combinatorics research incorporates themes from Discrete mathematics and Polynomial sequence.
His Distribution study is concerned with Mathematical analysis in general.
His Asymmetric simple exclusion process study combines topics in areas such as Ring, Initial value problem, Distribution and Particle number.
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