Andrei Gabrielov

Q: What Schools Are Affiliated With Andrei Gabrielov

Andrei Gabrielov is affiliated with the following schools: Purdue University, Cornell University, Moscow State University

Andrei Gabrielov's AcademicInfluence.com Rankings

Andrei Gabrielov

Mathematics

#6571

World Rank

#9078

Historical Rank

Measure Theory

#3181

World Rank

#3767

Historical Rank

mathematics Degrees

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Mathematics

Why Is Andrei Gabrielov Influential?

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According to Wikipedia, Andrei Gabrielov is a mathematician who is a professor at Purdue University. He is a fellow of the American Mathematical Society since 2016, for "contributions to real algebraic and analytic geometry, and the theory of singularities, and for contributions to geophysics."

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Andrei Gabrielov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Clustering analysis of seismicity and aftershock identification. (2007) (262)
Rational functions with real critical points and the B. and M. Shapiro conjecture in real enumerative geometry (2004) (137)
Pole Placement by Static Output Feedback for Generic Linear Systems (2002) (101)
Formal relations between analytic functions (1971) (93)
Intersection matrices for certain singularities (1973) (83)
Complexity of computations with Pfaffian and Noetherian functions (2004) (79)
Projections of semi-analytic sets (1968) (77)
Complements of subanalytic sets and existential formulas for analytic functions (1996) (74)
Combinatorial computation of characteristic classes (1975) (70)
Bifurcations, Dynkin diagrams, and modality of isolated singularities (1974) (67)
Degrees of Real Wronski Maps (2001) (66)
Short-term earthquake prediction by reverse analysis of lithosphere dynamics (2006) (66)
Colliding cascades model for earthquake prediction (2000) (63)
Exactly soluble hierarchical clustering model: inverse cascades, self-similarity, and scaling. (1999) (63)
Dynkin diagrams for unimodal singularities (1974) (60)
Block model of earthquake sequence (1990) (60)
An exact renormalization model for earthquakes and material failure: statics and dynamics (1994) (57)
Geometric incompatibility in a fault system. (1996) (56)
Mystery of point charges (2004) (53)
Analytic Continuation of Eigenvalues of a Quartic Oscillator (2008) (52)
Reverse tracing of short-term earthquake precursors (2003) (51)
Betti Numbers of Semialgebraic and Sub‐Pfaffian Sets (2004) (51)
Failure of hierarchical distributions of fibre bundles. I (1991) (50)
Rational functions and real Schubert calculus (2004) (48)
Fractal Trees with Side Branching (1997) (45)
Betti Numbers of Semialgebraic Sets Defined by Quantifier-Free Formulae (2005) (45)
Approximation of definable sets by compact families, and upper bounds on homotopy and homology (2007) (44)
Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality (1995) (43)
Metrics with conic singularities and spherical polygons (2014) (41)
Complexity of stratification of semi-Pfaffian sets (1995) (39)
Nonlinear Dynamics and Predictability of Geophysical Phenomena: Newman/Nonlinear Dynamics and Predictability of Geophysical Phenomena (1994) (39)
High Energy Eigenfunctions of One-Dimensional Schrödinger Operators with Polynomial Potentials (2007) (38)
Elementary proof of the B. and M. Shapiro conjecture for rational functions (2005) (36)
Complexity of cylindrical decompositions of sub-Pfaffian sets (2001) (36)
Combinatorial calculation of characteristic classes (1975) (35)
Multiplicities of zeroes of polynomials on trajectories of polynomial vector fields and bounds on degree of nonholonomy (1995) (34)
Abelian avalanches and Tutte polynomials (1993) (33)
ZEROS OF EIGENFUNCTIONS OF SOME ANHARMONIC OSCILLATORS (2006) (33)
An inverse cascade model for self-organized complexity and natural hazards (2005) (31)
The Wronski map and Grassmannians of Real Codimension 2 Subspaces (2001) (29)
A Statistical Physics Approach to Earthquakes (2013) (29)
Algorithms of long - term earthquakes'prediction (1986) (28)
Long-term premonitory seismicity patterns in Italy (1983) (27)
Metrics with four conic singularities and spherical quadrilaterals (2014) (27)
The Gauss-Bonnet theorem and the Atiyah-Patodi-Singer functionals for the characteristic classes of foliations (1976) (26)
Multiplicity of a zero of an analytic function on a trajectory of a vector field (1997) (26)
Spherical quadrilaterals with three non-integer angles (2015) (24)
On metrics of curvature 1 with four conic singularities on tori and on the sphere (2015) (23)
MULTIPLICITY OF A NOETHERIAN INTERSECTION (2009) (23)
Counterexamples to pole placement by static output feedback (2002) (21)
Multiscale Trend Analysis (2003) (20)
Polar curves and intersection matrices of singularities (1979) (19)
Semi-monotone sets (2010) (17)
Description of deformations with constant milnor number for homogeneous functions (1975) (17)
Statistical properties of the cluster dynamics of the systems of statistical mechanics (2008) (17)
Frontier and Closure of a Semi-Pfaffian Set (1998) (17)
Seismicity modeling and earthquake prediction: A review (2013) (16)
Patterns of stress corrosion: Geometry of the principal stresses (1983) (16)
Lipschitz contact equivalence of function germs in R^2 (2017) (15)
On the statistical mechanics of distributed seismicity (1997) (15)
Inverse cascade in a percolation model: hierarchical description of time-dependent scaling. (2004) (14)
Combinatorial calculus of characteristic classes (1975) (14)
Spherical Rectangles (2016) (13)
Quasi-exactly solvable quartic: elementary integrals and asymptotics (2011) (13)
A local combinatorial formula for the first class of Pontryagin (1976) (13)
Monotone functions and maps (2012) (12)
ORDRE DE CONTACT DE COURBES INTEGRALES DU PLAN (1994) (12)
SINGULAR PERTURBATION OF POLYNOMIAL POTENTIALS WITH APPLICATIONS TO PT-SYMMETRIC FAMILIES (2010) (11)
Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families (2010) (11)
Irreducibility of some spectral determinants (2009) (11)
Geo-complexity and Earthquake Prediction (2009) (10)
Asymmetric Abelian Avalanches and Sandpiles (1994) (10)
On Eigenvalues of the Schrödinger Operator with a Complex-Valued Polynomial Potential (2010) (10)
Multiplicity of polynomials on trajectories of polynomial vector fields in $C^3$ (1998) (10)
Relative Closure and the Complexity of Pfaffian Elimination (2003) (10)
Ambient Lipschitz equivalence of real surface singularities (2017) (9)
Hierarchical aggregation in percolation model (2006) (9)
Exceptional solutions to the Painlevé VI equation (2016) (7)
Application of pattern recognition algorithm in the seismic belts of Indian convergent plate margins — M8 algorithm (1992) (7)
Complexity of Stratications of Semi-Pfaan Sets (1994) (7)
Triangulations of monotone families I: two‐dimensional families (2014) (7)
Avalanches, Sandpiles and Tutte Decomposition (1993) (7)
On Topological Lower Bounds for Algebraic Computation Trees (2015) (7)
Combinatorial formulas for Pontryagin classes and GL-invariant chains (1978) (6)
Fluids migration and dynamics of a blocks-and-faults system (2007) (6)
On the Number of Connected Components of the Relative Closure of a Semi-Pfaffian Family (2001) (6)
Predictability of extreme events in a branching diffusion model (2007) (5)
Quasi-exactly solvable quartic: real algebraic spectral locus (2011) (4)
Atiyah — Patodi — Singer functionals for characteristic functionals for tangent bundles (1976) (4)
COUNTER-EXAMPLES TO QUANTIFIER ELIMINATION FOR FEWNOMIAL AND EXPONENTIAL EXPRESSIONS (2007) (4)
Circular Pentagons and Real Solutions of Painlevé VI Equations (2016) (4)
Some Lower Bounds in the B. and M. Shapiro Conjecture for Flag Varieties (2010) (4)
Moduli spaces for Lamé functions and Abelian differentials of the second kind (2020) (4)
Lipschitz contact equivalence of function germs in $\mathbb{R}^2$ (2014) (4)
PT-symmetric eigenvalues for homogeneous potentials (2017) (3)
Degrees of real Grassmann varieties (2001) (3)
CHANGE OF SCALING BEFORE EXTREME EVENTS IN COMPLEX SYSTEMS (2008) (2)
LIPSCHITZ GEOMETRY OF SURFACE GERMS IN R4: METRIC KNOTS (2020) (2)
Spectral loci of Sturm--Liouville operators with polynomial potentials (2013) (2)
Lipschitz geometry and combinatorics of abnormal surface germs (2021) (2)
Two-parametric PT-symmetric quartic family (2011) (1)
Frontier and Closure of a Semi-Pfa an Set (1998) (1)
The space of Schwarz-Klein spherical triangles (2020) (1)
Coxeter-Dynkin diagrams and singularities (1)
The space of Schwarz-Klein triangles (2020) (1)
On A theorem of Hormander (1970) (1)
Spherical polygons and differential equations (2015) (1)
Lipschitz geometry of pairs of normally embedded Hölder triangles (2022) (1)
Management of Advanced Special Economic Zones (ASEZ) Programs from the Position of Sustainable Development Concept (2019) (1)
A Helly-Type Theorem for Semi-monotone Sets and Monotone Maps (2012) (1)
Surface singularities in $R^4$: first steps towards Lipschitz knot theory (2019) (1)
Monotone functions and maps (2012) (0)
Tangencies between holomorphic maps and holomorphic laminations (2008) (0)
ge oph ] 8 D ec 2 00 7 Aftershock identification (2008) (0)
Aftershock identification problem via the nearest-neighbor analysis for marked point processes (2007) (0)
Spherical Rectangles (2016) (0)
ON A THEOREM O F H ORMANDER (1970) (0)
A Helly-Type Theorem for Semi-monotone Sets and Monotone Maps (2013) (0)
Andrei Gabrielov interview May 3, 1999 (1999) (0)
Lipschitz Geometry of Real Semialgebraic Surfaces (2022) (0)
AVALANCHES , SANDPILES AND TUTTE DECOMPOSITION Andrei GABRIELOV (1992) (0)
Classification of Generic Spherical Quadrilaterals (2020) (0)
Quasi-exactly solvable quartic : real QES locus (2011) (0)
On Predictive Understanding of Extreme Events (2015) (0)
Characteristic Pontryagin cycles in a Cech complex (1979) (0)
Topological lower bounds for arithmetic networks (2016) (0)
Circular Pentagons and Real Solutions of Painlevé VI Equations (2017) (0)
Topological lower bounds for arithmetic networks (2015) (0)
Surface Singularities in $${\mathbb R}^4$$ : First Steps Towards Lipschitz Knot Theory (2020) (0)
11 Classification of spherical quadrilaterals with two adjacent non-integer corners (2015) (0)
Failure of hierarchically structured materials: Statics and dynamics (1993) (0)
On the short-term earthquake prediction: renormalization algorithm and observational evidence in S. California, E. Mediterranean, and Japan (2002) (0)
Lipschitz geometry of surface germs in $\mathbb{R}^4$: metric knots (2020) (0)
Hierarchical Description of Evolution of an Inverse Cascade in Percolation Model (2004) (0)
On Topological Lower Bounds for Algebraic Computation Trees (2015) (0)
Lipschitz Classification of definable Surface SingularitiesÂ (2018) (0)
P ONTRYAGIN C YCLES IN A CECH C OMPLEX (1979) (0)
Toric cubes are closed balls (2012) (0)
Cummings Geo-complexity and Earthquake Prediction (0)
a n ] 2 0 M ay 2 00 3 Multiscale Trend Analysis (2003) (0)

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Other Resources About Andrei Gabrielov

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What Schools Are Affiliated With Andrei Gabrielov?

Andrei Gabrielov is affiliated with the following schools: