معرفی
Luchezar Stoyanov is a Professor at the University of Western Australia (UWA), affiliated with the School of Physics, Maths and Computing within the Department of Mathematics and Statistics. He holds an MSc from Sofia University and PhD and DSc degrees from the Bulgarian Academy of Sciences. His academic career includes roles as a Chief Investigator in research grants, such as the ARC-funded Inverse Scattering and Algorithms project (1998–1999).
Education:
- MSc in Mathematics, Sofia University
- PhD in Mathematics, Bulgarian Academy of Sciences
- DSc in Mathematics, Bulgarian Academy of Sciences
Research Interests:
His research spans Analysis, Geometry, and Topology with expertise in Dynamical Systems, Functional Analysis, and Spectral and Scattering Theory. Key topics include Gibbs measures, Ruelle transfer operators, Anosov flows, and the geometric rigidity of obstacles on Riemannian manifolds. He explores exponential mixing properties, decay of correlations, and inverse scattering methodologies, integrating theoretical mathematics with applications in chaotic systems and geometric analysis.
Article Trends:
Recent works emphasize spectral theory and dynamical systems. His 2025 preprint investigates Gibbs measures for contact Anosov flows, while 2023 contributions address spectral properties of Ruelle operators and traveling times in convex obstacle setups. Collaborations with researchers like T. Gurfinkel and L. Noakes highlight studies on billiards dynamics and inverse problems, reflecting a focus on geometric and analytical approaches to complex systems.
Scientific Awards:
- BH Neumann Award (2009)
- Excellence in Teaching Award (1995)
Advising & Grants: While no advisees are listed, he co-led the ARC grant Inverse Scattering and Algorithms, advancing methodologies in scattering theory and algorithmic inverse problem solutions. His 103+ research outputs demonstrate sustained contributions to geometric analysis and dynamical systems.
