Matches in SemOpenAlex for { <https://semopenalex.org/work/W4247757984> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W4247757984 endingPage "418" @default.
- W4247757984 startingPage "411" @default.
- W4247757984 abstract "Volume 1 was on establishing terminology and review of fundamental definitions from information theory, geometry, and probability theory on Euclidiean space, Volume 2 has focused on analogous concepts in the setting of Lie groups. A survey of problems that simultaneously involve Lie groups and information theory was provided, including the encoding/decoding of spatial pose (position and orientation). The physics that govern different kinds of communication systems gives rise to SDEs and their corresponding Fokker–Planck equations. In some instances, such as laser phase noise, these can be viewed as a probability flows on a group manifold. In other instances, such as the telegraph equation, Lie groups describe the symmetries of a PDE on Euclidean space. Stochastic models of phenomena such as the conformational fluctuations of DNA and the motions of robotic systems were examined. These lead to probability densities on the group of rigid-body motions, and properties of the corresponding conformational and parts entropy were studied. Numerical tools for solving Fokker–Planck equations on Lie groups such as the rotation group and group of rigid-body motions were reviewed." @default.
- W4247757984 created "2022-05-12" @default.
- W4247757984 creator A5012775344 @default.
- W4247757984 date "2011-09-29" @default.
- W4247757984 modified "2023-09-28" @default.
- W4247757984 title "Summary" @default.
- W4247757984 cites W1530682388 @default.
- W4247757984 cites W1535456295 @default.
- W4247757984 cites W1584824895 @default.
- W4247757984 cites W1983760787 @default.
- W4247757984 cites W1997620968 @default.
- W4247757984 cites W2013798751 @default.
- W4247757984 cites W2017293193 @default.
- W4247757984 cites W2097540174 @default.
- W4247757984 cites W2143703915 @default.
- W4247757984 cites W2147733222 @default.
- W4247757984 cites W2165136113 @default.
- W4247757984 cites W219944171 @default.
- W4247757984 cites W66665927 @default.
- W4247757984 doi "https://doi.org/10.1007/978-0-8176-4944-9_13" @default.
- W4247757984 hasPublicationYear "2011" @default.
- W4247757984 type Work @default.
- W4247757984 citedByCount "0" @default.
- W4247757984 crossrefType "book-chapter" @default.
- W4247757984 hasAuthorship W4247757984A5012775344 @default.
- W4247757984 hasConcept C121332964 @default.
- W4247757984 hasConcept C121864883 @default.
- W4247757984 hasConcept C145980571 @default.
- W4247757984 hasConcept C151342819 @default.
- W4247757984 hasConcept C173110770 @default.
- W4247757984 hasConcept C186450821 @default.
- W4247757984 hasConcept C187915474 @default.
- W4247757984 hasConcept C19939924 @default.
- W4247757984 hasConcept C202444582 @default.
- W4247757984 hasConcept C207570611 @default.
- W4247757984 hasConcept C2524010 @default.
- W4247757984 hasConcept C2781311116 @default.
- W4247757984 hasConcept C33923547 @default.
- W4247757984 hasConcept C62520636 @default.
- W4247757984 hasConcept C74650414 @default.
- W4247757984 hasConcept C92757383 @default.
- W4247757984 hasConcept C96469262 @default.
- W4247757984 hasConceptScore W4247757984C121332964 @default.
- W4247757984 hasConceptScore W4247757984C121864883 @default.
- W4247757984 hasConceptScore W4247757984C145980571 @default.
- W4247757984 hasConceptScore W4247757984C151342819 @default.
- W4247757984 hasConceptScore W4247757984C173110770 @default.
- W4247757984 hasConceptScore W4247757984C186450821 @default.
- W4247757984 hasConceptScore W4247757984C187915474 @default.
- W4247757984 hasConceptScore W4247757984C19939924 @default.
- W4247757984 hasConceptScore W4247757984C202444582 @default.
- W4247757984 hasConceptScore W4247757984C207570611 @default.
- W4247757984 hasConceptScore W4247757984C2524010 @default.
- W4247757984 hasConceptScore W4247757984C2781311116 @default.
- W4247757984 hasConceptScore W4247757984C33923547 @default.
- W4247757984 hasConceptScore W4247757984C62520636 @default.
- W4247757984 hasConceptScore W4247757984C74650414 @default.
- W4247757984 hasConceptScore W4247757984C92757383 @default.
- W4247757984 hasConceptScore W4247757984C96469262 @default.
- W4247757984 hasLocation W42477579841 @default.
- W4247757984 hasOpenAccess W4247757984 @default.
- W4247757984 hasPrimaryLocation W42477579841 @default.
- W4247757984 hasRelatedWork W1991671761 @default.
- W4247757984 hasRelatedWork W2081331159 @default.
- W4247757984 hasRelatedWork W2332044635 @default.
- W4247757984 hasRelatedWork W2495179428 @default.
- W4247757984 hasRelatedWork W2519283073 @default.
- W4247757984 hasRelatedWork W3010986648 @default.
- W4247757984 hasRelatedWork W3034044512 @default.
- W4247757984 hasRelatedWork W3104790025 @default.
- W4247757984 hasRelatedWork W4247757984 @default.
- W4247757984 hasRelatedWork W4282041340 @default.
- W4247757984 isParatext "false" @default.
- W4247757984 isRetracted "false" @default.
- W4247757984 workType "book-chapter" @default.