Matches in SemOpenAlex for { <https://semopenalex.org/work/W3047581572> ?p ?o ?g. }
Showing items 1 to 99 of
99
with 100 items per page.
- W3047581572 abstract "We study the coarse-grained distribution of a Hamiltonian system on the space partition determined by the initial measurement inaccuracies. Using methods of coding theory, introduced by Shannon and further researchers, Kolmogorov treated the stationary case for a discretized time, when the microscopic system is initially uniformly distributed. Following his work, we consider the non-stationary mesoscopic process induced by the Hamiltonian evolution from an inhomogeneous initial distribution. In general, this process has an infinite memory, but we show that its memory fades out with time: with any finite accuracy a, it can be approximated by a process with a memory limited to the n past events, n depending only on a. As a result, under suitable hypotheses, the mesoscopic process obeys an approximate Markov equation on groups of n successive states. More roughly, one obtains an ordinary Markov system by introducing a time coarse-graining on n successive elementary time steps. So, in a generic case, the system eventually tends to equilibrium for any initial mesoscopic distribution." @default.
- W3047581572 created "2020-08-10" @default.
- W3047581572 creator A5054254113 @default.
- W3047581572 creator A5062084863 @default.
- W3047581572 date "2020-08-01" @default.
- W3047581572 modified "2023-09-30" @default.
- W3047581572 title "On the stochastic representation and Markov approximation of Hamiltonian systems" @default.
- W3047581572 cites W1559076119 @default.
- W3047581572 cites W1988388205 @default.
- W3047581572 cites W1992384697 @default.
- W3047581572 cites W1995875735 @default.
- W3047581572 cites W1998727969 @default.
- W3047581572 cites W2005471798 @default.
- W3047581572 cites W2021820673 @default.
- W3047581572 cites W2032558547 @default.
- W3047581572 cites W2033934343 @default.
- W3047581572 cites W2037103798 @default.
- W3047581572 cites W2040008731 @default.
- W3047581572 cites W2056080528 @default.
- W3047581572 cites W2077929353 @default.
- W3047581572 cites W2081612248 @default.
- W3047581572 cites W2102277728 @default.
- W3047581572 cites W2149801992 @default.
- W3047581572 cites W3099913711 @default.
- W3047581572 cites W3104288443 @default.
- W3047581572 cites W3105842054 @default.
- W3047581572 cites W3122687753 @default.
- W3047581572 cites W4246102565 @default.
- W3047581572 cites W4248799301 @default.
- W3047581572 doi "https://doi.org/10.1063/5.0001435" @default.
- W3047581572 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/32872809" @default.
- W3047581572 hasPublicationYear "2020" @default.
- W3047581572 type Work @default.
- W3047581572 sameAs 3047581572 @default.
- W3047581572 citedByCount "3" @default.
- W3047581572 countsByYear W30475815722020 @default.
- W3047581572 countsByYear W30475815722021 @default.
- W3047581572 countsByYear W30475815722023 @default.
- W3047581572 crossrefType "journal-article" @default.
- W3047581572 hasAuthorship W3047581572A5054254113 @default.
- W3047581572 hasAuthorship W3047581572A5062084863 @default.
- W3047581572 hasConcept C105795698 @default.
- W3047581572 hasConcept C121332964 @default.
- W3047581572 hasConcept C121770821 @default.
- W3047581572 hasConcept C121864883 @default.
- W3047581572 hasConcept C126255220 @default.
- W3047581572 hasConcept C130787639 @default.
- W3047581572 hasConcept C134306372 @default.
- W3047581572 hasConcept C159886148 @default.
- W3047581572 hasConcept C163836022 @default.
- W3047581572 hasConcept C177731217 @default.
- W3047581572 hasConcept C189973286 @default.
- W3047581572 hasConcept C28826006 @default.
- W3047581572 hasConcept C33923547 @default.
- W3047581572 hasConcept C62520636 @default.
- W3047581572 hasConcept C73000952 @default.
- W3047581572 hasConcept C8272713 @default.
- W3047581572 hasConcept C98735484 @default.
- W3047581572 hasConcept C98763669 @default.
- W3047581572 hasConcept C98951983 @default.
- W3047581572 hasConceptScore W3047581572C105795698 @default.
- W3047581572 hasConceptScore W3047581572C121332964 @default.
- W3047581572 hasConceptScore W3047581572C121770821 @default.
- W3047581572 hasConceptScore W3047581572C121864883 @default.
- W3047581572 hasConceptScore W3047581572C126255220 @default.
- W3047581572 hasConceptScore W3047581572C130787639 @default.
- W3047581572 hasConceptScore W3047581572C134306372 @default.
- W3047581572 hasConceptScore W3047581572C159886148 @default.
- W3047581572 hasConceptScore W3047581572C163836022 @default.
- W3047581572 hasConceptScore W3047581572C177731217 @default.
- W3047581572 hasConceptScore W3047581572C189973286 @default.
- W3047581572 hasConceptScore W3047581572C28826006 @default.
- W3047581572 hasConceptScore W3047581572C33923547 @default.
- W3047581572 hasConceptScore W3047581572C62520636 @default.
- W3047581572 hasConceptScore W3047581572C73000952 @default.
- W3047581572 hasConceptScore W3047581572C8272713 @default.
- W3047581572 hasConceptScore W3047581572C98735484 @default.
- W3047581572 hasConceptScore W3047581572C98763669 @default.
- W3047581572 hasConceptScore W3047581572C98951983 @default.
- W3047581572 hasIssue "8" @default.
- W3047581572 hasLocation W30475815721 @default.
- W3047581572 hasLocation W30475815722 @default.
- W3047581572 hasOpenAccess W3047581572 @default.
- W3047581572 hasPrimaryLocation W30475815721 @default.
- W3047581572 hasRelatedWork W1974839821 @default.
- W3047581572 hasRelatedWork W2019735591 @default.
- W3047581572 hasRelatedWork W2024318042 @default.
- W3047581572 hasRelatedWork W2050665677 @default.
- W3047581572 hasRelatedWork W2100055350 @default.
- W3047581572 hasRelatedWork W2393621008 @default.
- W3047581572 hasRelatedWork W2498238215 @default.
- W3047581572 hasRelatedWork W2938904807 @default.
- W3047581572 hasRelatedWork W3022014775 @default.
- W3047581572 hasRelatedWork W5883800 @default.
- W3047581572 hasVolume "30" @default.
- W3047581572 isParatext "false" @default.
- W3047581572 isRetracted "false" @default.
- W3047581572 magId "3047581572" @default.
- W3047581572 workType "article" @default.