Pristupačnost
BlackBox: Generalizable reconstruction of extremal values from incomplete spatio-temporal data
Oscillatory Integrals and Fractal Dimension
Fractal dimensions and two-dimensional slow-fast systems
Fractal analysis of planar nilpotent singularities and numerical applications
Fractal analysis of canard cycles with two breaking parameters and applications
Introduction to fractal analysis of orbits of dynamical systems
The box dimension of a class of degenerate foci
Fractal Properties of Oscillatory Integrals and Singularities of Differentiable Maps
Fractal Geometry of Oscillatory Integrals and Singularities of Differentiable Maps
Fractal properties of Bessel functions
Wavy spirals and their fractal connection with chirps
Fractal analysis of oscillatory solutions of a class of ordinary differential equations including the Bessel equation
Oscillatory Integrals and Fractal Dimension
Geometrical properties of systems with spiral trajectories in R^3
Fractal dimensions of oscillatory integrals
Phase dimension of oscillatory solutions of a class of ordinary differential equations with applications
Fractal properties of generalized Bessel functions
Fractal properties of oscillatory solutions of a class of ordinary differential equations
Oscillatority of Fresnel integrals and chirp-like functions
Fractal properties of Bessel equation
Generalized Fresnel integrals and fractal properties of related spirals
Box dimension and Minkowski content of generalized Euler spirals
Hidden Markov Models and Multiple Alignments of Protein Sequences
Teaching duties
University undergraduate
- Linear Algebra (Lecturer in charge)
- Linear Algebra (Lecturer in charge)
- Mathematical Analysis 3 (Lecturer in charge)
University graduate
- Project (Lectures)
Competences
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Mathematics
Machine learning algorithms Floating-point arithmetic Differential equations Nonlinear equations Bifurcation Polynomials Fractals Limit-cycles Nonlinear equations Bifurcation Nonlinear dynamical systems Spirals -
Computational and artificial intelligence
Artificial neural networks Convolutional neural networks Feedforward neural networks Multilayer perceptrons Multi-layer neural network -
Computers and information processing
Mathematics computing Scientific computing