zbMath0728.12002MaRDI QIDQ3999699
A. G. Khovanskii
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hilbert number for a family of piecewise nonautonomous equations,
Uniform distribution and Hardy fields,
Upper bounds on Betti numbers of tropical prevarieties,
Méthodes géométriques et analytiques pour étudier l'application exponentielle, la sphère et le front d'onde en géométrie sous-riemannienne dans le cas Martinet,
Wilkie's conjecture for restricted elementary functions,
Joint ergodicity of Hardy field sequences,
Deviation theorems for solutions of differential equations and applications to lower bounds on parallel complexity of sigmoids,
Comments on J.F. Ritt’s Book Integration in Finite Terms,
Turing meets Schanuel,
Constructing polynomial systems with many positive solutions using tropical geometry,
Irrational mixed decomposition and sharp fewnomial bounds for tropical polynomial systems,
Defective dual varieties for real spectra,
Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials,
Complexity of stratifications of semi-Pfaffian sets,
Computability of the additive complexity of algebraic circuits with root extracting,
Point counting and Wilkie's conjecture for non-Archimedean Pfaffian and Noetherian functions,
Enumerative geometry for the real Grassmannian of lines in projective space,
Bernstein inequalities and applications to analytic geometry and differential equations,
On the expressiveness and decidability of o-minimal hybrid systems,
Łojasiewicz inequalities for sets definable in the structure \({\mathbb R}_{\text{exp}}\),
Nonoscillating projections for trajectories of vector fields,
Complexity lower bounds for computation trees with elementary transcendental function gates,
Hilbert's problems and their sequels,
Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces,
Real Liouvillian extensions of partial differential fields,
Fluctuations of nodal sets on the 3-torus and general cancellation phenomena,
The Vapnik-Chervonenkis dimension of graph and recursive neural networks,
On fewnomials, integral points, and a toric version of Bertini’s theorem,
Multiplicity operators,
Finiteness property for generalized abelian integrals.,
On the zeros of univariate E-polynomials,
Frontière d'une hypersurface pfaffienne,
New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023,
Upper bounds for the number of isolated critical points via the Thom-Milnor theorem,
\(k\)-th Milnor numbers and \(k\)-th Tjurina numbers of weighted homogeneous singularities,
Tameness in geometry and arithmetic: beyond o-minimality,
Decision problem for a class of univariate Pfaffian functions,
Exponential sums equations and tropical geometry,
A survey on computational aspects of polynomial amoebas,
Derivations of local \(k\)-th Hessian algebras of singularities,
On irreducible components of real exponential hypersurfaces,
Optimizing \(n\)-variate \((n+k)\)-nomials for small \(k\),
Positive geometries and canonical forms,
\(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\),
Divisor function inequalities, entropy, and the chance of being below average,
Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States,
Complexity of gene circuits, Pfaffian functions and the morphogenesis problem.,
Topologie des hypersurfaces pfaffiennes,
Complexity bounds for zero-test algorithms,
Density of algebraic points on Noetherian varieties,
Pfaffian Sets and O-minimality,
Theorems of the Complement,
Computing with D-algebraic power series,
Effective Pila-Wilkie bounds for unrestricted Pfaffian surfaces,
Non-oscillating solutions of a differential equation and Hardy fields,
Polynomial bounds for VC dimension of sigmoidal and general Pfaffian neural networks,
Tractability conditions for numeric CSPs,
Continuity of the asymptotics of expected zeros of fewnomials,
Topological complexity of the relative closure of a semi-Pfaffian couple,
Sub-Riemannian sphere in Martinet flat case,
Spectral geometry of semi-algebraic sets,
Planar S-systems: global stability and the center problem,
Polynomial bounds for the oscillation of solutions of Fuchsian systems,
Intersection multiplicities of noetherian functions,
On projections of semi-algebraic sets defined by few quadratic inequalities,
On the intersection of a sparse curve and a low-degree curve: a polynomial version of the lost theorem,
Linear independence of finite Gabor systems determined by behavior at infinity,
On solving univariate sparse polynomials in logarithmic time,
Semialgebraic complexity of functions,
The density of rational points on a Pfaff curve,
Absolute irreducibility of polynomials via Newton polytopes,
Rotation rate of a trajectory of an algebraic vector field around an algebraic curve,
Finite cyclicity of finite codimension nondegenerate homoclinic loops with real eigenvalues in \(\mathbb{R}^3\),
Algorithms and complexity in biological pattern formation problems,
Complexity of cylindrical decompositions of sub-Pfaffian,
On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs,
Generic 2-parameter perturbations of parabolic singular points of vector fields in ℂ,
Redundant Picard-Fuchs system for abelian integrals,
Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry,
On the new \(k\)-th Yau algebras of isolated hypersurface singularities,
Zero counting for a class of univariate Pfaffian functions,
On the Number of Real Zeros of Random Fewnomials,
Inequality conjectures on derivations of local \(k\)-th Hessain algebras associated to isolated hypersurface singularities,
Theory of Classification: a Survey of Some Recent Advances,
Two-parameter unfolding of a parabolic point of a vector field in \(\mathbb{C}\) fixing the origin,
On the number of intersection points of the contour of an amoeba with a line,
Solving degenerate sparse polynomial systems faster,
Homology of semi-pfaffian sets,
Non-existence of negative weight derivations on positively graded Artinian algebras,
Newton polytopes and relative entropy optimization,
Phase singularities in complex arithmetic random waves,
On the Bijectivity of Families of Exponential/Generalized Polynomial Maps,
Genericity conditions for finite cyclicity of elementary graphics,
Computing combinatorial types of trajectories in Pfaffian dynamics,
Betti numbers of semi-Pfaffian sets,
Vitushkin-Type Theorems,
Some speed-ups and speed limits for real algebraic geometry,
Enumerating a subset of the integer points inside a Minkowski sum,
Tame semiflows for piecewise linear vector fields,
Bounding the length of gradient trajectories