H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 81 Citations 53,605 257 World Ranking 59 National Ranking 3

Overview

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

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

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2010-2021)?

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

In recent papers he was focusing on the following fields of study:

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.

Between 2010 and 2021, his most popular works were:

  • 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)

In his most recent research, the most cited papers focused on:

  • 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.

Top Publications

Measuring the Strangeness of Strange Attractors

Peter Grassberger;Peter Grassberger;Itamar Procaccia.
Physica D: Nonlinear Phenomena (1983)

8825 Citations

Characterization of Strange Attractors

Peter Grassberger;Itamar Procaccia.
Physical Review Letters (1983)

6505 Citations

Estimating mutual information.

Alexander Kraskov;Harald Stögbauer;Peter Grassberger.
Physical Review E (2004)

2737 Citations

Estimation of the Kolmogorov entropy from a chaotic signal

Peter Grassberger;Itamar Procaccia.
Physical Review A (1983)

1763 Citations

Generalized dimensions of strange attractors

Peter Grassberger.
Physics Letters A (1983)

1311 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)

1126 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)

949 Citations

Dimensions and entropies of strange attractors from a fluctuating dynamics approach

P. Grassberger;I. Procaccia.
Physica D: Nonlinear Phenomena (1984)

923 Citations

Toward a Quantitative Theory of Self-Generated Complexity

Peter Grassberger.
International Journal of Theoretical Physics (1986)

830 Citations

NONLINEAR TIME SEQUENCE ANALYSIS

Peter Grassberger;Thomas Schreiber;Carsten Schaffrath.
International Journal of Bifurcation and Chaos (1991)

736 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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