Emil Horozov
Bulgarian mathematician
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Mathematics
Emil Horozov's Degrees
- PhD Mathematics Sofia University
- Masters Mathematics Sofia University
- Bachelors Mathematics Sofia University
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(Suggest an Edit or Addition)According to Wikipedia, Emil Horozov is a Bulgarian mathematician known for his work in dynamical systems theory and mathematical physics and work related to Hilbert's sixteenth problem. Education Horozov obtained Master's degree from Sofia University in 1972 and then got his Ph.D. from Moscow State University in 1978, where he was under the supervision of V. I. Arnold and Y. V. Egorov. His thesis was Bifurcations of symmetric vectorfields on the plane. In 1990, Horozov obtained his D.Sc. degree, this time from Sofia University, after completing his thesis, which was titled Hamiltonian systems and Abelian integrals.
Emil Horozov's Published Works
Published Works
- On the Number of Limit Cycles in Perturbations of Quadratic Hamiltonian Systems (1994) (120)
- Some functions that generalize the Krall-Laguerre polynomials (1999) (102)
- LINEAR ESTIMATE FOR THE NUMBER OF ZEROS OF ABELIAN INTEGRALS WITH CUBIC HAMILTONIANS (1998) (88)
- General methods for constructing bispectral operators (1996) (72)
- The Pfaff lattice and skew-orthogonal polynomials (1999) (70)
- Bispectral Algebras of Commuting Ordinary Differential Operators (1996) (68)
- Perturbations of the spherical pendulum and Abelian integrals. (1990) (44)
- B ¨ ACKLUND-DARBOUX TRANSFORMATIONS IN SATO'S GRASSMANNIAN (1996) (41)
- Toda Orbits of Laguerre-polynomials and Representations of the Virasoro Algebra (1993) (41)
- The full Geometry of Kowalewski's top and (1, 2)‐abelian surfaces (1989) (40)
- The solution to the q-KdV equation (1997) (38)
- On Saddle-Loop Bifurcations of Limit Cycles in Perturbations of Quadratic Hamiltonian Systems (1994) (31)
- A lax pair for Kowasevski's top (1987) (30)
- Limit cycles of perturbations of quadratic hamiltonian vector fields (1993) (22)
- Highest weight modules over the $W_{1+\infty}$ algebra and the bispectral problem (1996) (22)
- On the Krall-Hermite and the Krall-Bessel polynomials (1997) (21)
- Highest weight modules over W 1 + ∞ algebra and the bispectral problem (1996) (19)
- Darboux Transformations of Bispectral Quantum Integrable Systems (1998) (14)
- On the isoenergetical non-degeneracy of the spherical pendulum (1993) (13)
- Tau-functions as highest weight vectors for W 1 + ∞ algebra (1996) (12)
- Limit cycles and zeroes of Abelian integrals satisfying third order picard — Fuchs equations (1990) (11)
- Tau-functions as highest weight vectors for algebra (1995) (11)
- Noncommutative bispectral Darboux transformations (2015) (10)
- Highest weight modules of W_{1+infty}, Darboux transformations and the bispectral problem (1996) (9)
- Automorphisms of Algebras and Bochner's Property for Vector Orthogonal Polynomials (2015) (8)
- HIGHEST WEIGHT MODULES OF W1+∞, DARBOUX TRANSFORMATIONS AND THE BISPECTRAL PROBLEM (1996) (8)
- Perturbations of quadratic hamiltonian systems with symmetry (1996) (8)
- An improved estimate for the number of zeros of Abelian integrals for cubic Hamiltonians (2010) (8)
- Automorphisms of the Weyl algebra and bispectral operators (1997) (7)
- The real loci of Calogero-Moser spaces, representations of rational Cherednik algebras and the Shapiro conjecture (2007) (7)
- Bispectral Operators of Prime Order (2002) (7)
- Vector Orthogonal Polynomials with Bochner’s Property (2016) (7)
- d-Orthogonal Analogs of Classical Orthogonal Polynomials (2016) (7)
- On the non-integrability of Gross-Neveu models (1987) (6)
- Dual algebras of differential operators (2002) (6)
- Tau-functions and modules over the Virasoro algebra (1995) (6)
- DIRECT AND INVERSE SPECTRAL PROBLEMS FOR (2N + 1)-DIAGONAL, COMPLEX, SYMMETRIC, NON-HERMITIAN MATRICES (2010) (6)
- ANALOG OF FAVARD'S THEOREM FOR POLYNOMIALS CONNECTED WITH DIFFERENCE EQUATION OF 4-TH ORDER. (2001) (5)
- Automorphisms of algebras and Bochner`s property for discrete vector orthogonal polynomials (2016) (4)
- Fuchsian bispectral operators (2001) (4)
- Calogero-moser spaces and an adelic W-algebra (2005) (4)
- TRIGONOMETRIC DARBOUX TRANSFORMATIONS AND CALOGERO–MOSER MATRICES (2008) (4)
- Strictly nilpotent elements and bispectral operators in the Weyl algebra (2002) (3)
- The trigonometric Grassmannian and a difference W-algebra (2010) (3)
- THE WEYL ALGEBRA, BISPECTRAL OPERATORS AND DYNAMICS OF POLES IN INTEGRABLE SYSTEMS (2002) (2)
- In search of higher Bochner theorem (2018) (2)
- A Sato-Krichever Theory for Fractional Differential Operators (2021) (1)
- Generalized Gould-Hopper polynomials (2016) (1)
- The real loci of the Calogero-Moser spaces and the Shapiro-Shapiro conjecture (2007) (1)
- INTEGRAL MANIFOLDS AND PERTURBATIONS OF THE NONLINEAR PART OF SYSTEMS OF AUTONOMOUS DIFFERENTIAL EQUATIONS WITH IMPULSES AT FIXED MOMENTS (1995) (1)
- Calogero-Moser Spaces and Representation Theory (2009) (0)
- ON THE CONVERGENCE OF (0,1,2) INTERPOLATION (2010) (0)
- Vector Orthogonal Polynomials with Bochner’s Property (2017) (0)
- AN ADELIC W-ALGEBRA AND RANK ONE BISPECTRAL OPERATORS (2006) (0)
- PERTURBATIONS OF SYSTEMS DESCRIBING THE MOTION OF A PARTICLE IN CENTRAL FIELDS (1995) (0)
- d-orthogonal polynomials, Toda Lattice and Virasoro symmetries (2019) (0)
- Multiple orthogonal analogs of classical orthogonal polynomials (2016) (0)
- Darboux Transformations of Bispectral Quantum (1999) (0)
- Automorphisms of algebras and vector orthogonal polynomials with Bochner’s property (2016) (0)
- SATISFYING THIRD ORDER PICARD - FUCHS EQUATIONS (1990) (0)
- Ju n 20 02 Bispectral operators of prime order (2002) (0)
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