D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 63 Citations 15,007 484 World Ranking 312 National Ranking 16

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Mathematical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Statistics

Mathematical analysis, Pure mathematics, Harmonic map, Combinatorics and Curvature are his primary areas of study. His Pure mathematics research integrates issues from Information geometry, Statistical model and Metric. Jürgen Jost combines subjects such as Dirichlet L-function, Harmonic measure, Regular polygon, Hadamard space and Nonlinear system with his study of Harmonic map.

Many of his research projects under Combinatorics are closely connected to Delta set and Simplicial manifold with Delta set and Simplicial manifold, tying the diverse disciplines of science together. His Curvature study incorporates themes from Clustering coefficient and Finite graph. His Riemannian geometry research includes elements of Geometric analysis and Fundamental theorem of Riemannian geometry.

His most cited work include:

  • Riemannian geometry and geometric analysis (1317 citations)
  • Two-dimensional geometric variational problems (246 citations)
  • Spectral properties and synchronization in coupled map lattices. (243 citations)

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

Jürgen Jost mainly investigates Pure mathematics, Mathematical analysis, Harmonic map, Combinatorics and Curvature. Pure mathematics and Metric are frequently intertwined in his study. Mathematical analysis is closely attributed to Boundary in his study.

Combinatorics is closely attributed to Discrete mathematics in his research. His Curvature study improves the overall literature in Topology. His research integrates issues of Discretization and Complex network in his study of Ricci curvature.

He most often published in these fields:

  • Pure mathematics (27.27%)
  • Mathematical analysis (24.20%)
  • Harmonic map (13.57%)

What were the highlights of his more recent work (between 2018-2021)?

  • Pure mathematics (27.27%)
  • Curvature (15.10%)
  • Harmonic map (13.57%)

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

Jürgen Jost mostly deals with Pure mathematics, Curvature, Harmonic map, Combinatorics and Ricci curvature. The study incorporates disciplines such as Space, Context and Laplace transform in addition to Pure mathematics. He has researched Curvature in several fields, including Simple and Metric space.

Harmonic map is a primary field of his research addressed under Mathematical analysis. His Mathematical analysis research includes themes of Boundary, Applied mathematics and Surface. His studies deal with areas such as Riemannian manifold and Eigenvalues and eigenvectors as well as Combinatorics.

Between 2018 and 2021, his most popular works were:

  • Hypergraph Laplace operators for chemical reaction networks (32 citations)
  • Coupled dynamics on hypergraphs: Master stability of steady states and synchronization. (31 citations)
  • Discrete Ricci curvatures for directed networks (15 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Statistics

Jürgen Jost spends much of his time researching Ricci curvature, Combinatorics, Mathematical analysis, Harmonic map and Boundary. His Ricci curvature study is within the categories of Curvature and Topology. His Curvature study combines topics from a wide range of disciplines, such as Simple and Metric space.

His research integrates issues of Infinity and Energy in his study of Combinatorics. His Mathematical analysis study frequently intersects with other fields, such as Degeneracy. His Harmonic map research incorporates themes from Dirac, Mathematical physics, Riemannian manifold, Nabla symbol and Submanifold.

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.

Best Publications

Riemannian geometry and geometric analysis

Jürgen Jost.
(1995)

2542 Citations

Two-dimensional geometric variational problems

Jürgen Jost.
(1991)

405 Citations

Nonpositive Curvature: Geometric and Analytic Aspects

Jürgen Jost.
(1997)

374 Citations

Compact Riemann Surfaces: An Introduction to Contemporary Mathematics

Jürgen Jost.
(2014)

366 Citations

Delays, Connection Topology, and Synchronization of Coupled Chaotic Maps

Fatihcan M. Atay;Jürgen Jost;Andreas Wende.
Physical Review Letters (2004)

335 Citations

Spectral properties and synchronization in coupled map lattices.

Jürgen Jost;Jürgen Jost;Maliackal Poulo Joy.
Physical Review E (2001)

332 Citations

Partial Differential Equations

Jürgen Jost.
(2002)

258 Citations

Compact Riemann Surfaces

Jürgen Jost.
(1997)

236 Citations

Equilibrium maps between metric spaces

Jürgen Jost.
Calculus of Variations and Partial Differential Equations (1994)

233 Citations

Quantifying unique information

Nils Bertschinger;Johannes Rauh;Eckehard Olbrich;Jürgen Jost.
Entropy (2014)

207 Citations

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