Symmetry Groups and Translation Invariant Representations of Markov Processes

Symmetry Groups and Translation Invariant Representations of Markov Processes

The symmetry groups of the potential theory of a Markov process Xtare used to introduce new algebraic and topological structures on the state space and the process. For example, let G be the collection of bijections φ on E which preserve the collection of excessive functions. Assume there is a trans...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:The Annals of Probability. - Institute of Mathematical Statistics. - 19(1991), 2, Seite 562-586
1. Verfasser: Glover, Joseph (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 1991
Zugriff auf das übergeordnete Werk:The Annals of Probability
Schlagworte:Markov process potential theory topological groups Lie groups Mathematics Behavioral sciences Physical sciences
LEADER 01000caa a22002652 4500
001 JST009201335
003 DE-627
005 20240619182751.0
007 cr uuu---uuuuu
008 150323s1991 xx |||||o 00| ||eng c
035 |a (DE-627)JST009201335 
035 |a (JST)2244363 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
084 |a 60J25  |2 MSC 
100 1 |a Glover, Joseph  |e verfasserin  |4 aut 
245 1 0 |a Symmetry Groups and Translation Invariant Representations of Markov Processes 
264 1 |c 1991 
336 |a Text  |b txt  |2 rdacontent 
337 |a Computermedien  |b c  |2 rdamedia 
338 |a Online-Ressource  |b cr  |2 rdacarrier 
520 |a The symmetry groups of the potential theory of a Markov process Xtare used to introduce new algebraic and topological structures on the state space and the process. For example, let G be the collection of bijections φ on E which preserve the collection of excessive functions. Assume there is a transitive subgroup H of the symmetry group G such that the only map φ ∈ H fixing a point e ∈ E is the identity map on E. There is a bijection Ψ: E → H so that the algebraic structure of H can be carried to E, making E into a group. If there is a left quasi-invariant measure on E, then there is a topology on E making E into a locally compact second countable metric group. There is also a time change τ(t) of Xtsuch that Xτ(t)is a translation invariant process on E and Xτ(t)is right-continuous with left limits in the new topology. 
540 |a Copyright 1991 Institute of Mathematical Statistics 
650 4 |a Markov process 
650 4 |a potential theory 
650 4 |a topological groups 
650 4 |a Lie groups 
650 4 |a Mathematics  |x Pure mathematics  |x Probability theory  |x Random variables  |x Stochastic processes  |x Markov processes 
650 4 |a Mathematics  |x Pure mathematics  |x Topology  |x Topological properties  |x Topological compactness 
650 4 |a Mathematics  |x Pure mathematics  |x Topology 
650 4 |a Mathematics  |x Pure mathematics  |x Topology  |x Topological properties  |x Homeomorphism 
650 4 |a Mathematics  |x Pure mathematics  |x Topology  |x Topological theorems 
650 4 |a Mathematics  |x Pure mathematics  |x Topology  |x Algebraic topology 
650 4 |a Behavioral sciences  |x Human behavior  |x Social behavior  |x Group behavior  |x Group dynamics  |x Group structure 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Statistical physics  |x Dimensional analysis  |x Dimensionality  |x Abstract spaces  |x Topological spaces 
650 4 |a Mathematics  |x Mathematical analysis  |x Measure theory  |x Haar measures 
650 4 |a Physical sciences  |x Physics  |x Mathematical physics  |x Potential theory 
655 4 |a research-article 
773 0 8 |i Enthalten in  |t The Annals of Probability  |d Institute of Mathematical Statistics  |g 19(1991), 2, Seite 562-586  |w (DE-627)270938249  |w (DE-600)1478769-6  |x 00911798  |7 nnns 
773 1 8 |g volume:19  |g year:1991  |g number:2  |g pages:562-586 
856 4 0 |u https://www.jstor.org/stable/2244363  |3 Volltext 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_JST 
912 |a GBV_ILN_11 
912 |a GBV_ILN_20 
912 |a GBV_ILN_22 
912 |a GBV_ILN_23 
912 |a GBV_ILN_24 
912 |a GBV_ILN_31 
912 |a GBV_ILN_32 
912 |a GBV_ILN_39 
912 |a GBV_ILN_40 
912 |a GBV_ILN_60 
912 |a GBV_ILN_62 
912 |a GBV_ILN_63 
912 |a GBV_ILN_69 
912 |a GBV_ILN_70 
912 |a GBV_ILN_73 
912 |a GBV_ILN_90 
912 |a GBV_ILN_95 
912 |a GBV_ILN_100 
912 |a GBV_ILN_105 
912 |a GBV_ILN_110 
912 |a GBV_ILN_120 
912 |a GBV_ILN_151 
912 |a GBV_ILN_161 
912 |a GBV_ILN_170 
912 |a GBV_ILN_213 
912 |a GBV_ILN_230 
912 |a GBV_ILN_285 
912 |a GBV_ILN_293 
912 |a GBV_ILN_370 
912 |a GBV_ILN_374 
912 |a GBV_ILN_602 
912 |a GBV_ILN_702 
912 |a GBV_ILN_2001 
912 |a GBV_ILN_2003 
912 |a GBV_ILN_2005 
912 |a GBV_ILN_2006 
912 |a GBV_ILN_2007 
912 |a GBV_ILN_2008 
912 |a GBV_ILN_2009 
912 |a GBV_ILN_2010 
912 |a GBV_ILN_2011 
912 |a GBV_ILN_2014 
912 |a GBV_ILN_2015 
912 |a GBV_ILN_2018 
912 |a GBV_ILN_2020 
912 |a GBV_ILN_2021 
912 |a GBV_ILN_2026 
912 |a GBV_ILN_2027 
912 |a GBV_ILN_2044 
912 |a GBV_ILN_2050 
912 |a GBV_ILN_2056 
912 |a GBV_ILN_2057 
912 |a GBV_ILN_2061 
912 |a GBV_ILN_2088 
912 |a GBV_ILN_2107 
912 |a GBV_ILN_2110 
912 |a GBV_ILN_2111 
912 |a GBV_ILN_2190 
912 |a GBV_ILN_2932 
912 |a GBV_ILN_2947 
912 |a GBV_ILN_2949 
912 |a GBV_ILN_2950 
912 |a GBV_ILN_4012 
912 |a GBV_ILN_4035 
912 |a GBV_ILN_4037 
912 |a GBV_ILN_4046 
912 |a GBV_ILN_4112 
912 |a GBV_ILN_4125 
912 |a GBV_ILN_4126 
912 |a GBV_ILN_4242 
912 |a GBV_ILN_4249 
912 |a GBV_ILN_4251 
912 |a GBV_ILN_4305 
912 |a GBV_ILN_4306 
912 |a GBV_ILN_4307 
912 |a GBV_ILN_4313 
912 |a GBV_ILN_4322 
912 |a GBV_ILN_4323 
912 |a GBV_ILN_4324 
912 |a GBV_ILN_4325 
912 |a GBV_ILN_4326 
912 |a GBV_ILN_4335 
912 |a GBV_ILN_4338 
912 |a GBV_ILN_4346 
912 |a GBV_ILN_4367 
912 |a GBV_ILN_4393 
912 |a GBV_ILN_4700 
951 |a AR 
952 |d 19  |j 1991  |e 2  |h 562-586