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- Andrei Gabrielov

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
33
Citations
3,740
146
World Ranking
2264
National Ranking
958

2016 - Fellow of the American Mathematical Society For contributions to real algebraic and analytic geometry, and the theory of singularities, and for contributions to geophysics.

- Mathematical analysis
- Algebra
- Geometry

His primary scientific interests are in Seismology, Combinatorics, Algebra, Earthquake prediction and Induced seismicity. His work deals with themes such as Lattice, Symmetric matrix and Loading rate, which intersect with Combinatorics. His research integrates issues of Class and Boundary in his study of Algebra.

His Earthquake prediction research includes themes of Earthquake simulation and Foreshock. His studies in Induced seismicity integrate themes in fields like Aftershock and Field. His biological study deals with issues like Self-similarity, which deal with fields such as Scaling.

- Clustering Analysis of Seismicity and Aftershock Identification (190 citations)
- Projections of semi-analytic sets (117 citations)
- Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry (115 citations)

The scientist’s investigation covers issues in Combinatorics, Pure mathematics, Discrete mathematics, Mathematical analysis and Statistical physics. While the research belongs to areas of Combinatorics, Andrei Gabrielov spends his time largely on the problem of Monotone polygon, intersecting his research to questions surrounding Graph. His Pure mathematics research includes elements of Gravitational singularity, Analytic continuation and Quartic function.

The study incorporates disciplines such as Pfaffian and Rational function in addition to Discrete mathematics. His Mathematical analysis study combines topics from a wide range of disciplines, such as Surface, Monodromy, Boundary and Constant curvature. His study explores the link between Statistical physics and topics such as Scaling that cross with problems in Lattice model, Particle in a one-dimensional lattice, Periodic boundary conditions and Lattice field theory.

- Combinatorics (25.45%)
- Pure mathematics (21.21%)
- Discrete mathematics (17.58%)

- Pure mathematics (21.21%)
- Combinatorics (25.45%)
- Mathematical analysis (13.33%)

His main research concerns Pure mathematics, Combinatorics, Mathematical analysis, Bounded function and Gravitational singularity. Andrei Gabrielov interconnects Discrete mathematics, Homotopy and Monotone polygon in the investigation of issues within Combinatorics. The Monomial research Andrei Gabrielov does as part of his general Discrete mathematics study is frequently linked to other disciplines of science, such as Complex valued, therefore creating a link between diverse domains of science.

His studies in Mathematical analysis integrate themes in fields like Monodromy, Boundary, Conic section and Constant curvature. Andrei Gabrielov usually deals with Bounded function and limits it to topics linked to Betti number and Symbolic computation. His Gravitational singularity research incorporates themes from Conformal map and Geometry.

- Metrics with conic singularities and spherical polygons (35 citations)
- Metrics with four conic singularities and spherical quadrilaterals (20 citations)
- Seismicity modeling and earthquake prediction: A review (20 citations)

- Mathematical analysis
- Algebra
- Geometry

His scientific interests lie mostly in Pure mathematics, Bounded function, Combinatorics, Mathematical analysis and Conic section. His Pure mathematics research is mostly focused on the topic Lipschitz continuity. His research integrates issues of Generalization, Translation and Hyperplane in his study of Bounded function.

He has researched Combinatorics in several fields, including Compact space and Monotone polygon. His Mathematical analysis study incorporates themes from Surface, Boundary and Constant curvature. His Conic section research is multidisciplinary, incorporating elements of Conformal map and Gravitational singularity.

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.

Clustering Analysis of Seismicity and Aftershock Identification

Ilya Zaliapin;Andrei Gabrielov;Vladimir Keilis-Borok;Henry Wong.

Physical Review Letters **(2008)**

290 Citations

Projections of semi-analytic sets

A. M. Gabriélov.

Functional Analysis and Its Applications **(1968)**

272 Citations

log-periodic behavior of a hierarchical failure model with applications to precursory seismic activation.

William I. Newman;Donald L. Turcotte;Andrei M. Gabrielov.

Physical Review E **(1995)**

159 Citations

Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry

Alexandre Eremenko;Andrei Gabrielov.

Annals of Mathematics **(2002)**

122 Citations

Intersection matrices for certain singularities

A. M. Gabriélov.

Functional Analysis and Its Applications **(1973)**

116 Citations

Colliding cascades model for earthquake prediction

Andrei Gabrielov;Ilya Zaliapin;William I. Newman;Vladimir I. Keilis-borok.

Geophysical Journal International **(2000)**

111 Citations

FORMAL RELATIONS BETWEEN ANALYTIC FUNCTIONS

A M Gabrièlov.

Mathematics of The Ussr-izvestiya **(1973)**

106 Citations

Reverse tracing of short-term earthquake precursors

V. Keilis-Borok;V. Keilis-Borok;P. Shebalin;A. Gabrielov;D. Turcotte.

Physics of the Earth and Planetary Interiors **(2004)**

103 Citations

Abelian avalanches and Tutte polynomials

Andrei Gabrielov;Andrei Gabrielov.

Physica A-statistical Mechanics and Its Applications **(1993)**

97 Citations

Failure of hierarchical distributions of fibre bundles. I

William I. Newman;William I. Newman;Andrei M. Gabrielov.

International Journal of Fracture **(1991)**

94 Citations

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