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Continuous-time statistics and generalized relaxation equations
- Publication Year :
- 2017
- Publisher :
- Les Ulis: EDP Sciences. 2000- Springer Verlag Germany, 2017.
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Abstract
- Using two simple examples, the continuous-time random walk as well as a two state Markov chain, the relation between generalized anomalous relaxation equations and semi-Markov processes is illustrated. This relation is then used to discuss continuous-time random statistics in a general setting, for statistics of convolution-type. Two examples are presented in some detail: the sum statistic and the maximum statistic.<br />Comment: 12 pages, submitted to EPJB
- Subjects :
- Relation (database)
Complex system
FOS: Physical sciences
01 natural sciences
Continuous time randoms
010305 fluids & plasmas
Relaxation equations
Two-state Markov chains
QA273
Simple (abstract algebra)
0103 physical sciences
Statistics
FOS: Mathematics
State markov chain
Convolution
Markov processes
Statistics, Continuous time random walks
Continuous-time
Convolution type
Semi Markov process
Sum statistics
Two-state Markov chains, Continuous time systems
010306 general physics
Condensed Matter - Statistical Mechanics
Mathematical Physics
Statistic
Mathematics
Statistical Mechanics (cond-mat.stat-mech)
Probability (math.PR)
Continuous time systems
Mathematical Physics (math-ph)
Condensed Matter Physics
Random walk
Continuous time random walks
Electronic, Optical and Magnetic Materials
Relaxation (approximation)
Mathematics - Probability
Subjects
Details
- Language :
- English
- ISSN :
- 14346028
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....cb14d6504dc8b95d7a0961bfb6b5d42c