- Home
- Best Scientists - Mathematics
- Gregory Berkolaiko

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
2,895
126
World Ranking
2752
National Ranking
1137

- 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.

- Introduction to Quantum Graphs (527 citations)
- Quantum Graphs and Their Applications (95 citations)
- Two-point spectral correlations for star graphs (80 citations)

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.

- Quantum graph (30.50%)
- Eigenfunction (24.82%)
- Mathematical analysis (25.53%)

- Quantum graph (30.50%)
- Eigenvalues and eigenvectors (19.15%)
- Eigenfunction (24.82%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Introduction to Quantum Graphs

Gregory Berkolaiko;Peter Kuchment.

**(2012)**

732 Citations

Introduction to Quantum Graphs

Gregory Berkolaiko;Peter Kuchment.

**(2012)**

732 Citations

Quantum graphs and their applications : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah

Gregory Berkolaiko.

**(2006)**

168 Citations

Quantum graphs and their applications : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah

Gregory Berkolaiko.

**(2006)**

168 Citations

Quantum Graphs and Their Applications

Gregory Berkolaiko;Robert Carlson;Stephen A. Fulling;Peter Kuchment.

**(2006)**

156 Citations

Quantum Graphs and Their Applications

Gregory Berkolaiko;Robert Carlson;Stephen A. Fulling;Peter Kuchment.

**(2006)**

156 Citations

Two-point spectral correlations for star graphs

G Berkolaiko;Jon P Keating.

Journal of Physics A **(1999)**

87 Citations

Two-point spectral correlations for star graphs

G Berkolaiko;Jon P Keating.

Journal of Physics A **(1999)**

87 Citations

Star graphs and Seba billiards

Gregory Berkolaiko;Eugene Bogomolny;J.P. Keating;J.P. Keating.

Journal of Physics A **(2001)**

85 Citations

Star graphs and Seba billiards

Gregory Berkolaiko;Eugene Bogomolny;J.P. Keating;J.P. Keating.

Journal of Physics A **(2001)**

85 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Weizmann Institute of Science

Texas A&M University

University of Oxford

Stockholm University

Texas A&M University

McMaster University

National Institutes of Health

University of Bristol

University of Sheffield

University of Naples Federico II

Korea Institute of Science and Technology

Iowa State University

Vrije Universiteit Brussel

Sewanee: The University of the South

Centre national de la recherche scientifique, CNRS

MRC Laboratory of Molecular Biology

Heidelberg University

University of Manitoba

Sapienza University of Rome

Emory University

University of Wisconsin–Madison

University of Oxford

University of Helsinki

Something went wrong. Please try again later.