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Browsing Doktorsritgerðir- HÍ by Subject "Stærðfræði"

Browsing Doktorsritgerðir- HÍ by Subject "Stærðfræði"

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    Lyapunov Functions for Stochastic Systems: Theory and Numerics 
    Björnsson, Hjörtur (University of Iceland, School of Engineering and Natural Sciences, Faculty of Physical Sciences, 2023-05)
    In this thesis we explore Lyapunov functions for stochastic differential equations. Lyapunov functions are a useful tool to study the stability of an equilibrium of such stochastic systems and long term behaviour of solutions around an equilibrium ...
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    Polynomial approximation on Stein manifolds and the Monge-Ampère operator 
    Snæbjarnarson, Auðunn (University of Iceland, School of Engineering and Natural Sciences, Faculty of Physical Sciences, 2019-03-29)
    The first main theme of this thesis is the approximation of holomorphic functions on Stein manifolds by polynomials. In our setting a polynomial is an entire function whose absolute value is bounded from above by $\exp(a\psi+b)$ on the complement of a ...