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.
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.
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.
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.
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)
Projections of semi-analytic sets
A. M. Gabriélov.
Functional Analysis and Its Applications (1968)
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)
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)
Intersection matrices for certain singularities
A. M. Gabriélov.
Functional Analysis and Its Applications (1973)
Colliding cascades model for earthquake prediction
Andrei Gabrielov;Ilya Zaliapin;William I. Newman;Vladimir I. Keilis-borok.
Geophysical Journal International (2000)
FORMAL RELATIONS BETWEEN ANALYTIC FUNCTIONS
A M Gabrièlov.
Mathematics of The Ussr-izvestiya (1973)
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)
Abelian avalanches and Tutte polynomials
Andrei Gabrielov;Andrei Gabrielov.
Physica A-statistical Mechanics and Its Applications (1993)
Failure of hierarchical distributions of fibre bundles. I
William I. Newman;William I. Newman;Andrei M. Gabrielov.
International Journal of Fracture (1991)
If you think any of the details on this page are incorrect, let us know.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below: