Research Output per year

## Personal profile

### Research

Analysis,

Geometry,

Topology

Geometry,

Topology

### Keywords

- Dynamical systems
- Functional analysis
- Geometry
- Spectral and scattering theory
- Topology

## Fingerprint Dive into the research topics where Luchezar Stoyanov is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

- 1 Similar Profiles

Ruelle Operator
Mathematics

Scattering
Mathematics

Transfer Operator
Mathematics

Billiards
Mathematics

Trapping
Mathematics

Length Spectrum
Mathematics

Axiom A
Mathematics

Estimate
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1975 2019

## Inverse scattering by obstacles and Santalo's formula

Stoyanov, L., 2019, In : Pliska Studia Mathematica. 30, p. 185-200 17 p.Research output: Contribution to journal › Conference article

Open Access

File

Inverse Scattering

Scattering

Geodesic

Scattering Operator

Sojourn Time

## Quantitative Pesin theory for Anosov diffeomorphisms and flows

Gouezel, S. & Stoyanov, L., 1 Jan 2019, In : Ergodic Theory and Dynamical Systems. 39, 1, p. 159-200 42 p.Research output: Contribution to journal › Article

Open Access

File

Cocycle

Diffeomorphisms

Dynamical systems

Anosov Flow

Measurable set

## Spectral estimates for Ruelle operators with two parameters and sharp large deviations

Petkov, V. & Stoyanov, L., Aug 2019, In : DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A. 39, 11, p. 6391-6417 27 p.Research output: Contribution to journal › Article

Ruelle Operator

Shrinking

Large Deviations

Two Parameters

Continuous Function

## Lens rigidity in scattering by non-trapping obstacles

Stoyanov, L., 2018, In : Archiv der Mathematik. 110, 4, p. 391–402 12 p.Research output: Contribution to journal › Article

Open Access

File

Rigidity

Lens

Scattering

Length Spectrum

Nondegeneracy

## On gibbs measures and spectra of ruelle transfer operators

Stoyanov, L., 1 Jun 2017, In : Canadian Mathematical Bulletin. 60, 2, p. 411-421 11 p.Research output: Contribution to journal › Article

Ruelle Operator

Transfer Operator

Gibbs Measure

Perron-Frobenius Theorem

Spectral Radius

## Projects 1998 1999

- 1 Finished