Singularities

Singularities is a condition in which a Jacobian matrix loses full rank, resulting in a non-invertible transformation that characterizes points where the local behavior of a differentiable map fails to be regular.

8.6K

Publications

449.4K

Citations

11.9K

Authors

2.7K

Institutions

Publications per year

2017–2026

1.3K

Parents

Jacobian Matrices

Publications

8.6K

Ordering, metastability and phase transitions in two-dimensional systems

J. M. Kosterlitz, D. J. Thouless · Journal of Physics C Solid State Physics · 1973 · 9.5K citations

Natural Sciences, Physics, Condensed Matter Physics +16

Internal deformation due to shear and tensile faults in a half-space

Yoshimitsu Okada · Bulletin of the Seismological Society of America · 1992 · 3.5K citations

Natural Sciences, Earth Sciences, Geophysics +16

A unified approach for motion and force control of robot manipulators: The operational space formulation

Oussama Khatib · IEEE Journal on Robotics and Automation · 1987 · 2.9K citations

Engineering, Mechanical Engineering, Robotics Engineering +17

Stress Singularities Resulting From Various Boundary Conditions in Angular Corners of Plates in Extension

M. L. Williams · Journal of Applied Mechanics · 1952 · 2.5K citations

Engineering, Geology, Mechanical Behavior Of Materials +16

Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I

Heisuke Hironaka · Annals of Mathematics · 1964 · 2.4K citations

Natural Sciences, Enology, Bank Resolution +7

1–5 of 8.6K

Authors

11.9K

PS
Pankaj S. Joshi
Tata Institute of Fundamental Research, India
41 publications · 3.1K citations
32
h-index
MR
Mark R. Dennis
University of Bristol, United Kingdom
22 publications · 2.8K citations
20
h-index
SS
Stephen S.‐T. Yau
University of Illinois Chicago, United States
33 publications · 895 citations
18
h-index
MB
Michael Berry
Bristol Robotics Laboratory, United Kingdom
18 publications · 2.3K citations
18
h-index
SD
Sergei D. Odintsov
Institució Catalana de Recerca i Estudis Avançats, Spain
20 publications · 2.6K citations
17
h-index

1–5 of 11.9K

Institutions

2.7K

1–8 of 2.7K

Venues

Physical Review Letters
PRL · 234 publications · 20.9K citations
80
h-index
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology
252 publications · 18.3K citations
72
h-index
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
273 publications · 21.8K citations
72
h-index
Journal of High Energy Physics
JHEP · 300 publications · 15.3K citations
69
h-index
Classical and Quantum Gravity
181 publications · 10.8K citations
55
h-index

1–5