- Home
- Best Scientists - Mathematics
- Peter Grassberger

Mathematics

Germany

2023

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
86
Citations
46,943
355
World Ranking
60
National Ranking
2

Physics
D-index
90
Citations
48,420
304
World Ranking
1578
National Ranking
132

2023 - Research.com Mathematics in Germany Leader Award

2022 - Research.com Mathematics in Germany Leader Award

- Quantum mechanics
- Statistics
- Mathematical analysis

Statistical physics, Attractor, Critical exponent, Mathematical analysis and Entropy are his primary areas of study. The study incorporates disciplines such as Particle density, Chaotic, Logarithm, Percolation and Finite volume method in addition to Statistical physics. His Attractor research includes elements of Discrete mathematics, Fractal dimension, Correlation dimension, Lyapunov exponent and Hausdorff dimension.

His Correlation dimension research is multidisciplinary, relying on both Algorithm, Correlation integral and Correlation sum. His biological study deals with issues like Monte Carlo method, which deal with fields such as Directed percolation and Percolation critical exponents. His Mathematical analysis study incorporates themes from Scattering, Correlation entropy, Plane, Hénon map and Many-body problem.

- Measuring the Strangeness of Strange Attractors (4619 citations)
- Measuring the Strangeness of Strange Attractors (4619 citations)
- Characterization of Strange Attractors (3745 citations)

Peter Grassberger mainly focuses on Statistical physics, Scaling, Monte Carlo method, Critical exponent and Phase transition. As part of the same scientific family, he usually focuses on Statistical physics, concentrating on Directed percolation and intersecting with Percolation critical exponents. He works mostly in the field of Scaling, limiting it down to topics relating to Combinatorics and, in certain cases, Discrete mathematics.

His Monte Carlo method study is mostly concerned with Dynamic Monte Carlo method, Hybrid Monte Carlo, Monte Carlo algorithm and Quantum Monte Carlo. His research in Dynamic Monte Carlo method focuses on subjects like Monte Carlo molecular modeling, which are connected to Monte Carlo method in statistical physics. His work carried out in the field of Critical exponent brings together such families of science as Square lattice, Partition and Critical point.

- Statistical physics (51.81%)
- Scaling (20.78%)
- Monte Carlo method (19.28%)

- Statistical physics (51.81%)
- Scaling (20.78%)
- Percolation (8.73%)

The scientist’s investigation covers issues in Statistical physics, Scaling, Percolation, Phase transition and Combinatorics. Peter Grassberger integrates Statistical physics with Cooperativity in his research. The Scaling study combines topics in areas such as Fractal dimension, Renormalization, Power law, Path and Line.

He has included themes like Omega, Rational number, Geometry, Roughness exponent and Stationary state in his Fractal dimension study. His Phase transition research incorporates elements of Fractal and Monomer. His work carried out in the field of Quantum mechanics brings together such families of science as Transfer matrix and Mathematical analysis.

- Percolation theory on interdependent networks based on epidemic spreading (216 citations)
- Explosive percolation is continuous, but with unusual finite size behavior. (111 citations)
- Avalanche outbreaks emerging in cooperative contagions (102 citations)

- Quantum mechanics
- Statistics
- Mathematical analysis

Statistical physics, Phase transition, Percolation, Mutual information and Probability and statistics are his primary areas of study. His Statistical physics research incorporates themes from Continuum percolation theory, Power law and Intrinsic dimension. His biological study spans a wide range of topics, including Discrete mathematics, Phase diagram, Lattice, Fractal and Monte Carlo method.

His work deals with themes such as Polymer physics, Mathematical analysis, Ising model and Weight distribution, which intersect with Lattice. His Monte Carlo method study integrates concerns from other disciplines, such as Transfer matrix, Logarithm and Entropy, Quantum mechanics. His Mutual information research is multidisciplinary, incorporating perspectives in Random variable and Metric.

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.

Measuring the Strangeness of Strange Attractors

Peter Grassberger;Peter Grassberger;Itamar Procaccia.

Physica D: Nonlinear Phenomena **(1983)**

8809 Citations

Characterization of Strange Attractors

Peter Grassberger;Itamar Procaccia.

Physical Review Letters **(1983)**

6801 Citations

Estimating mutual information.

Alexander Kraskov;Harald Stögbauer;Peter Grassberger.

Physical Review E **(2004)**

3222 Citations

Estimation of the Kolmogorov entropy from a chaotic signal

Peter Grassberger;Itamar Procaccia.

Physical Review A **(1983)**

1862 Citations

Generalized dimensions of strange attractors

Peter Grassberger.

Physics Letters A **(1983)**

1348 Citations

Reduction of the three-particle collision problem to multi-channel two-particle Lippmann-Schwinger equations

E.O. Alt;P. Grassberger;W. Sandhas.

Nuclear Physics **(1967)**

1147 Citations

Performance of different synchronization measures in real data: A case study on electroencephalographic signals

R. Quian Quiroga;A. Kraskov;T. Kreuz;T. Kreuz;P. Grassberger.

Physical Review E **(2002)**

986 Citations

Dimensions and entropies of strange attractors from a fluctuating dynamics approach

P. Grassberger;I. Procaccia.

Physica D: Nonlinear Phenomena **(1984)**

953 Citations

Toward a Quantitative Theory of Self-Generated Complexity

Peter Grassberger.

International Journal of Theoretical Physics **(1986)**

883 Citations

NONLINEAR TIME SEQUENCE ANALYSIS

Peter Grassberger;Thomas Schreiber;Carsten Schaffrath.

International Journal of Bifurcation and Chaos **(1991)**

763 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:

University of Bonn

Max Planck Institute for the Physics of Complex Systems

University of Aberdeen

University Hospital Bonn

University of Bonn

ESPCI Paris

University of Paris-Sud

Norwegian University of Science and Technology

Indian Institute of Science Education and Research Pune

Ruhr University Bochum

University of Michigan–Ann Arbor

Harvard University

University of Neuchâtel

Lawrence Berkeley National Laboratory

University of Twente

Kyoto University

Zoological Society of London

ImmunoGen (United States)

University of Burgundy

Wageningen University & Research

Tufts University

Nuvu2, Inc.

Uppsala University

Iowa State University

Cedars-Sinai Medical Center

Cancer Council Victoria

Something went wrong. Please try again later.