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- Assaf Naor

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
50
Citations
7,840
160
World Ranking
805
National Ranking
402

Computer Science
D-index
44
Citations
6,936
146
World Ranking
4849
National Ranking
2402

2013 - Fellow of the American Mathematical Society

- Combinatorics
- Mathematical analysis
- Geometry

The scientist’s investigation covers issues in Combinatorics, Discrete mathematics, Metric space, Distortion and Metric. His Combinatorics study integrates concerns from other disciplines, such as Geometry and Semidefinite programming. His Discrete mathematics study incorporates themes from Function, Upper and lower bounds, Fourier analysis and Chromatic scale.

His Metric space research also works with subjects such as

- Banach space which intersects with area such as Algebra,
- Dimension and related Planar graph. His research in Distortion focuses on subjects like Embedding, which are connected to Probability measure. His studies deal with areas such as Ramsey's theorem, Fixed point, Cartesian product and Hilbert space as well as Metric.

- Rigorous location of phase transitions in hard optimization problems (208 citations)
- Approximating the Cut-Norm via Grothendieck's Inequality (201 citations)
- The two possible values of the chromatic number of a random graph (153 citations)

His scientific interests lie mostly in Combinatorics, Discrete mathematics, Metric space, Distortion and Banach space. The concepts of his Combinatorics study are interwoven with issues in Embedding, Upper and lower bounds and Hilbert space. His Discrete mathematics research incorporates themes from Lipschitz continuity and Constant.

His Metric space research is multidisciplinary, relying on both Ramsey's theorem and Distribution. The various areas that Assaf Naor examines in his Distortion study include Quotient, Dimension, Metric and Euclidean space. His Banach space research includes elements of Type, Unit sphere and Normed vector space.

- Combinatorics (67.51%)
- Discrete mathematics (42.19%)
- Metric space (28.27%)

- Combinatorics (67.51%)
- Banach space (21.94%)
- Discrete mathematics (42.19%)

Assaf Naor focuses on Combinatorics, Banach space, Discrete mathematics, Metric space and Normed vector space. Assaf Naor combines subjects such as Upper and lower bounds and Distortion with his study of Combinatorics. His research in Distortion intersects with topics in Word metric and Metric.

His studies in Banach space integrate themes in fields like Matrix norm, Linear subspace, Lipschitz continuity and Trace class. His research investigates the connection between Discrete mathematics and topics such as Singular value that intersect with problems in Invertible matrix, Operator norm, Rank and Inverse. His Metric space study combines topics in areas such as Embedding, Standard basis, Curvature and Hypercube.

- Vertical perimeter versus horizontal perimeter (24 citations)
- Expanders with respect to Hadamard spaces and random graphs (23 citations)
- Metric dimension reduction: A snapshot of the Ribe program (18 citations)

- Mathematical analysis
- Combinatorics
- Real number

His main research concerns Combinatorics, Metric space, Banach space, Discrete mathematics and Normed vector space. Assaf Naor has researched Combinatorics in several fields, including Ball, Distortion and Perimeter. His work carried out in the field of Ball brings together such families of science as Heisenberg group, Word metric, Lipschitz continuity and Conjecture.

His Metric space study incorporates themes from Embedding and Norm. As a part of the same scientific study, he usually deals with the Banach space, concentrating on Curvature and frequently concerns with Geometric group theory, Upper and lower bounds, Probability measure and Bounded function. His Discrete mathematics research incorporates elements of Singular value, Inequality, Invertible matrix 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.

The two possible values of the chromatic number of a random graph

Dimitris Achlioptas;Assaf Naor.

Annals of Mathematics **(2005)**

446 Citations

The two possible values of the chromatic number of a random graph

Dimitris Achlioptas;Assaf Naor.

Annals of Mathematics **(2005)**

446 Citations

On metric Ramsey-type phenomena

Yair Bartal;Nathan Linial;Manor Mendel;Assaf Naor.

Annals of Mathematics **(2005)**

365 Citations

On metric Ramsey-type phenomena

Yair Bartal;Nathan Linial;Manor Mendel;Assaf Naor.

Annals of Mathematics **(2005)**

365 Citations

Approximating the Cut-Norm via Grothendieck's Inequality

Noga Alon;Assaf Naor.

SIAM Journal on Computing **(2006)**

318 Citations

Approximating the Cut-Norm via Grothendieck's Inequality

Noga Alon;Assaf Naor.

SIAM Journal on Computing **(2006)**

318 Citations

Rigorous location of phase transitions in hard optimization problems

Dimitris Achlioptas;Assaf Naor;Yuval Peres.

Nature **(2005)**

274 Citations

Rigorous location of phase transitions in hard optimization problems

Dimitris Achlioptas;Assaf Naor;Yuval Peres.

Nature **(2005)**

274 Citations

Euclidean distortion and the sparsest cut

Sanjeev Arora;James R. Lee;Assaf Naor.

Journal of the American Mathematical Society **(2007)**

253 Citations

Euclidean distortion and the sparsest cut

Sanjeev Arora;James R. Lee;Assaf Naor.

Journal of the American Mathematical Society **(2007)**

253 Citations

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