| dbo:abstract |
Die freie Faltung ist eine binäre Operation auf Wahrscheinlichkeitsmaßen auf , welche der Addition von freien Zufallsvariablen entspricht. (de) Free convolution is the free probability analog of the classical notion of convolution of probability measures. Due to the non-commutative nature of free probability theory, one has to talk separately about additive and multiplicative free convolution, which arise from addition and multiplication of free random variables (see below; in the classical case, what would be the analog of free multiplicative convolution can be reduced to additive convolution by passing to logarithms of random variables). These operations have some interpretations in terms of empirical spectral measures of random matrices. The notion of free convolution was introduced by Voiculescu. (en) |
| dbo:wikiPageExternalLink |
http://www.cmapx.polytechnique.fr/~benaych https://www.math.uni-sb.de/ag/speicher/speicher_publikationenE.html http://www.springer.com/us/book/9781493969418 http://folk.uio.no/oyvindry http://www.ems-ph.org/books/book.php%3Fproj_nr=208 http://www.supelec.fr/d2ri/flexibleradio/Welcome.html |
| dbo:wikiPageID |
20269925 (xsd:integer) |
| dbo:wikiPageLength |
7759 (xsd:nonNegativeInteger) |
| dbo:wikiPageRevisionID |
794325313 (xsd:integer) |
| dbo:wikiPageWikiLink |
dbr:Biology dbr:Convolution dbc:Free_algebraic_structures dbc:Free_probability_theory dbc:Signal_processing dbc:Combinatorics dbc:Functional_analysis dbr:Finance dbr:Free_independence dbr:Free_probability dbr:Empirical_singular_values_distribution dbr:Empirical_spectral_measures dbr:Random_matrices dbr:Random_walk dbr:Random_matrix dbr:Wireless_communication |
| dbp:wikiPageUsesTemplate |
dbt:Reflist |
| dct:subject |
dbc:Free_algebraic_structures dbc:Free_probability_theory dbc:Signal_processing dbc:Combinatorics dbc:Functional_analysis |
| gold:hypernym |
dbr:Analog |
| rdf:type |
yago:Artifact100021939 yago:Object100002684 yago:PhysicalEntity100001930 yago:YagoGeoEntity yago:YagoPermanentlyLocatedEntity dbo:Drug yago:Structure104341686 yago:Whole100003553 yago:WikicatFreeAlgebraicStructures |
| rdfs:comment |
Die freie Faltung ist eine binäre Operation auf Wahrscheinlichkeitsmaßen auf , welche der Addition von freien Zufallsvariablen entspricht. (de) Free convolution is the free probability analog of the classical notion of convolution of probability measures. Due to the non-commutative nature of free probability theory, one has to talk separately about additive and multiplicative free convolution, which arise from addition and multiplication of free random variables (see below; in the classical case, what would be the analog of free multiplicative convolution can be reduced to additive convolution by passing to logarithms of random variables). These operations have some interpretations in terms of empirical spectral measures of random matrices. (en) |
| rdfs:label |
Freie Faltung (de) Free convolution (en) |
| owl:sameAs |
freebase:Free convolution yago-res:Free convolution wikidata:Free convolution dbpedia-de:Free convolution https://global.dbpedia.org/id/4jN8L |
| prov:wasDerivedFrom |
wikipedia-en:Free_convolution?oldid=794325313&ns=0 |
| foaf:isPrimaryTopicOf |
wikipedia-en:Free_convolution |
| is dbo:wikiPageRedirects of |
dbr:Free_additive_convolution dbr:Free_multiplicative_convolution dbr:Free_deconvolution |
| is dbo:wikiPageWikiLink of |
dbr:Free_additive_convolution dbr:Free_multiplicative_convolution dbr:Poisson_distribution dbr:Free_independence dbr:Free_probability dbr:Free_deconvolution |
| is foaf:primaryTopic of |
wikipedia-en:Free_convolution |