Bewegte Bilder
Symmetries of Homogeneous Structures
Homogenous structures exhibit a high degree of symmetry. In particular their automorphism group is transitive, and any partial isomorphism between two finite substructures extends to an automorphism of the entire structure. It is thus natural to better understand these symmetries, and one approach is by trying to break them. The distinguishing number provides an interesting tool to do so and at the same time providing structural information. Two such well known homogeneous structures are the rationals and the Rado graph. The first one is easily seen to have unbreakable symmetry in this setting, its distinguishing number is infinite. On the other hand Imrich et al. showed that the Rado graph has distinguishing number 2. We will present an overview of the distinguishing number of the homogeneous simple and directed graphs through their classification, and discuss recent results for the countable Urysohn homogenous metric spaces of given spectrum.
- Weitere Titel
-
Symmetry Breaking of Countable Homogeneous Structures
- Standort
-
Hannover TIB
- Umfang
-
200MB, 00:39:31:25 (unknown)
- Sprache
-
Englisch
- Anmerkungen
-
Audiovisuelles Material
- Erschienen in
-
Symmetry Breaking in Discrete Structures (18w5050) ; (Jan. 2018)
- Ereignis
-
Veröffentlichung
- (wer)
-
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
- (wann)
-
2018-01-01
- Beteiligte Personen und Organisationen
-
Laflamme, Claude
- DOI
-
10.5446/58696
- Letzte Aktualisierung
- 21.04.2026, 10:49 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Technische Informationsbibliothek (TIB).
Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- zweidimensionales bewegtes Bild
Beteiligte
- Laflamme, Claude
- Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Entstanden
- 2018-01-01
Ähnliche Objekte (12)
Symmetries of Homogeneous Structures
External symmetries of regular maps
Shape analysis on homogeneous spaces
Symmetries in TEM imaging of Semiconductor nanostructures with strain
Periodic orbits and symmetries in symplectic maps
Symmetries in configuration spaces for mass partition
Symmetries of holomorphic QFT and the higher dimensional Kac - Moody algebras
Topological implications of Kähler-type symmetries for Hermitian and Almost Kähler manifolds
Non-perturbative Dyson-Schwinger equations and novel symmetries of quantum field theory
Representation of homogeneous measures and tail measures of regularly varying time series
Quantum reference frame transformations as symmetries and the paradox of the third particle
Finding and breaking Lie symmetries: implications for structural identifiability and observability of dynamic models
Symmetries of Homogeneous Structures
External symmetries of regular maps
Shape analysis on homogeneous spaces
Symmetries in TEM imaging of Semiconductor nanostructures with strain
Periodic orbits and symmetries in symplectic maps
Symmetries in configuration spaces for mass partition
Symmetries of holomorphic QFT and the higher dimensional Kac - Moody algebras
Topological implications of Kähler-type symmetries for Hermitian and Almost Kähler manifolds
Non-perturbative Dyson-Schwinger equations and novel symmetries of quantum field theory
Representation of homogeneous measures and tail measures of regularly varying time series
Quantum reference frame transformations as symmetries and the paradox of the third particle
Finding and breaking Lie symmetries: implications for structural identifiability and observability of dynamic models
Symmetries of Homogeneous Structures
External symmetries of regular maps
Shape analysis on homogeneous spaces
Symmetries in TEM imaging of Semiconductor nanostructures with strain
Periodic orbits and symmetries in symplectic maps
Symmetries in configuration spaces for mass partition
Symmetries of holomorphic QFT and the higher dimensional Kac - Moody algebras
Topological implications of Kähler-type symmetries for Hermitian and Almost Kähler manifolds
Non-perturbative Dyson-Schwinger equations and novel symmetries of quantum field theory
Representation of homogeneous measures and tail measures of regularly varying time series
Quantum reference frame transformations as symmetries and the paradox of the third particle