What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
His primary scientific interests are in Quantum graph, Discrete mathematics, Eigenfunction, Schrödinger's cat and Combinatorics.
His Quantum graph research incorporates elements of Mathematical challenges, Dirichlet distribution and Laplace operator.
His Discrete mathematics research includes themes of Quantum and Pure mathematics.
His Pure mathematics study integrates concerns from other disciplines, such as Quantum information, Dynamical systems theory, Graph theory and Algebra.
His studies in Schrödinger's cat integrate themes in fields like Ergodic theory, Ergodicity, Observable and Star.
The various areas that Gregory Berkolaiko examines in his Combinatorics study include Condition number, Upper and lower bounds and Eigenvalues and eigenvectors.
His most cited work include:
- Introduction to Quantum Graphs (527 citations)
- Quantum Graphs and Their Applications (95 citations)
- Two-point spectral correlations for star graphs (80 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Quantum graph, Eigenfunction, Mathematical analysis, Combinatorics and Eigenvalues and eigenvectors.
Gregory Berkolaiko combines subjects such as Vertex, Upper and lower bounds, Pure mathematics and Laplace operator with his study of Quantum graph.
His Pure mathematics study incorporates themes from Form factor, Ergodicity, Algebra and Maxima and minima.
He has included themes like Quantum, Schrödinger's cat, Mathematical physics and Bounded function in his Eigenfunction study.
His biological study spans a wide range of topics, including Recursion, Applied mathematics and Nonlinear system.
His Combinatorics research incorporates themes from Discrete mathematics and Lattice.
He most often published in these fields:
- Quantum graph (30.50%)
- Eigenfunction (24.82%)
- Mathematical analysis (25.53%)
What were the highlights of his more recent work (between 2015-2021)?
- Quantum graph (30.50%)
- Eigenvalues and eigenvectors (19.15%)
- Eigenfunction (24.82%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Quantum graph, Eigenvalues and eigenvectors, Eigenfunction, Combinatorics and Mathematical analysis.
His Quantum graph study combines topics from a wide range of disciplines, such as Continuous spectrum, Vertex, Betti number, Degenerate energy levels and Laplace operator.
The study incorporates disciplines such as Spectral line, Spectral shift and Symmetric matrix in addition to Eigenvalues and eigenvectors.
His Eigenfunction research includes themes of Random matrix, Matrix, Quantum, Fourier transform and Entropy.
Combinatorics is closely attributed to Discrete mathematics in his research.
His Domain, Symplectic geometry, Dirac delta function and Boundary value problem study in the realm of Mathematical analysis connects with subjects such as Flow.
Between 2015 and 2021, his most popular works were:
- Surgery principles for the spectral analysis of quantum graphs (39 citations)
- Edge connectivity and the spectral gap of combinatorial and quantum graphs (32 citations)
- Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph (31 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
His main research concerns Quantum graph, Eigenfunction, Combinatorics, Vertex and Laplace operator.
His work deals with themes such as Elliptic function, Mathematical analysis and Remainder, which intersect with Quantum graph.
His Eigenfunction study introduces a deeper knowledge of Algebra.
The study of Combinatorics is intertwined with the study of Eigenvalues and eigenvectors in a number of ways.
Gregory Berkolaiko interconnects Dirichlet distribution and Resolvent in the investigation of issues within Vertex.
Gregory Berkolaiko has researched Graph in several fields, including Schrödinger's cat and Connected component.
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