메뉴 건너뛰기




Volumn 37, Issue 2, 2009, Pages 790-813

Invariant transports of stationary random measures and mass-stationarity

Author keywords

Abelian group; Allocation rule; Invariant transport kernel; Mass stationarity; Palm measure; Stationary random measure

Indexed keywords


EID: 66149173666     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/08-AOP420     Document Type: Article
Times cited : (57)

References (30)
  • 1
    • 40749096896 scopus 로고    scopus 로고
    • Processes on unimodular random networks
    • electronic, MR2354165
    • ALDOUS, D. and LYONS, R. (2007). Processes on unimodular random networks. Electron. J. Probab. 121454-1508 (electronic). MR2354165
    • (2007) Electron. J. Probab , vol.12 , pp. 1454-1508
    • ALDOUS, D.1    LYONS, R.2
  • 5
    • 84968466845 scopus 로고
    • Random shifts which preserve measure
    • MR0396907
    • GEMAN, D. and HOROWITZ, J. (1975). Random shifts which preserve measure. Proc. Amer. Math. Soc. 49143-150. MR0396907
    • (1975) Proc. Amer. Math. Soc , vol.49 , pp. 143-150
    • GEMAN, D.1    HOROWITZ, J.2
  • 6
    • 33746819921 scopus 로고
    • Random measures and motions of point processes
    • MR0292148
    • HARRIS, T. E. (1971). Random measures and motions of point processes. Z. Wahrsch. Verw. Gebiete 1885-115. MR0292148
    • (1971) Z. Wahrsch. Verw. Gebiete , vol.18 , pp. 85-115
    • HARRIS, T.E.1
  • 7
    • 27144541085 scopus 로고    scopus 로고
    • Characterization of Palm measures via bijective pointshifts
    • MR2165576
    • HEVELING, M. and LAST, G. (2005). Characterization of Palm measures via bijective pointshifts. Ann. Probab. 331698-1715. MR2165576
    • (2005) Ann. Probab , vol.33 , pp. 1698-1715
    • HEVELING, M.1    LAST, G.2
  • 8
    • 33846794854 scopus 로고    scopus 로고
    • Point shift characterization of Palm measures on Abelian groups
    • electronic, MR2280261
    • HEVELING, M. and LAST, G. (2007). Point shift characterization of Palm measures on Abelian groups. Electron. J. Probab. 12122-137 (electronic). MR2280261
    • (2007) Electron. J. Probab , vol.12 , pp. 122-137
    • HEVELING, M.1    LAST, G.2
  • 9
    • 0035470864 scopus 로고    scopus 로고
    • How to find an extra head: Optimal random shifts of Bernoulli and Poisson random fields
    • MR1880225
    • HOLROYD, A. E. and LIGGETT, T. M. (2001). How to find an extra head: Optimal random shifts of Bernoulli and Poisson random fields. Ann. Probab. 291405-1425. MR1880225
    • (2001) Ann. Probab , vol.29 , pp. 1405-1425
    • HOLROYD, A.E.1    LIGGETT, T.M.2
  • 10
    • 3042534317 scopus 로고    scopus 로고
    • Trees and matchings from point processes
    • electronic, MR1961286
    • HOLROYD, A. E. and PERES, Y. (2003). Trees and matchings from point processes. Electron. Comm. Probab. 817-27 (electronic). MR1961286
    • (2003) Electron. Comm. Probab , vol.8 , pp. 17-27
    • HOLROYD, A.E.1    PERES, Y.2
  • 11
    • 14944356678 scopus 로고    scopus 로고
    • Extra heads and invariant allocations
    • MR2118858
    • HOLROYD, A. E. and PERES, Y. (2005). Extra heads and invariant allocations. Ann. Probab. 3331-52. MR2118858
    • (2005) Ann. Probab , vol.33 , pp. 31-52
    • HOLROYD, A.E.1    PERES, Y.2
  • 12
    • 66149179527 scopus 로고    scopus 로고
    • KALLENBERG, O. (2002). Foundations of Modern Probability, 2nd ed. Springer, New York. MR1876169
    • KALLENBERG, O. (2002). Foundations of Modern Probability, 2nd ed. Springer, New York. MR1876169
  • 13
    • 34250757656 scopus 로고    scopus 로고
    • Invariant measures and disintegrations with applications to Palm and related kernels
    • MR2322698
    • KALLENBERG, O. (2007). Invariant measures and disintegrations with applications to Palm and related kernels. Probab. Theory Related Fields 139285-310. MR2322698
    • (2007) Probab. Theory Related Fields , vol.139 , pp. 285-310
    • KALLENBERG, O.1
  • 14
    • 33749563348 scopus 로고    scopus 로고
    • Stationary partitions and Palm probabilities
    • MR2256871
    • LAST, G. (2006). Stationary partitions and Palm probabilities. Adv. in Appl. Probab. 38602-620. MR2256871
    • (2006) Adv. in Appl. Probab , vol.38 , pp. 602-620
    • LAST, G.1
  • 15
    • 84919969454 scopus 로고    scopus 로고
    • Modern random measures: Palm theory and related models
    • W. Kendall und I. Molchanov, eds, Clarendon Press, Oxford. To appear
    • LAST, G. (2009). Modern random measures: Palm theory and related models. In New Perspectives in Stochastic Geometry(W. Kendall und I. Molchanov, eds.). Clarendon Press, Oxford. To appear.
    • (2009) New Perspectives in Stochastic Geometry
    • LAST, G.1
  • 16
    • 66149167711 scopus 로고    scopus 로고
    • Stationary random measures on homogeneous spaces
    • To appear
    • LAST, G. (2009). Stationary random measures on homogeneous spaces. To appear.
    • (2009)
    • LAST, G.1
  • 17
    • 66149191105 scopus 로고    scopus 로고
    • Characterization of mass-stationary by Bernoulli and Cox transports
    • To appear
    • LAST, G. and THORISSON, H. (2009). Characterization of mass-stationary by Bernoulli and Cox transports. To appear.
    • (2009)
    • LAST, G.1    THORISSON, H.2
  • 18
    • 66149167712 scopus 로고    scopus 로고
    • Constructions of stationary and mass-stationary random measures
    • In preparation
    • LAST, G. and THORISSON, H. (2008). Constructions of stationary and mass-stationary random measures. (In preparation.)
    • (2008)
    • LAST, G.1    THORISSON, H.2
  • 19
    • 66149171911 scopus 로고    scopus 로고
    • LIGGETT, T. M. (2002). Tagged particle distributions or how to choose a head at random. In In and Out of Equilibrium (Mambucaba, 2000). Progr. Probab. 51 133-162. Birkhäuser, Boston. MR1901951
    • LIGGETT, T. M. (2002). Tagged particle distributions or how to choose a head at random. In In and Out of Equilibrium (Mambucaba, 2000). Progr. Probab. 51 133-162. Birkhäuser, Boston. MR1901951
  • 20
    • 66149173942 scopus 로고    scopus 로고
    • MATTHES, K., KERSTAN, J. and MECKE, J. (1978). Infinitely Divisible Point Processes. Wiley, Chichester. MR0517931
    • MATTHES, K., KERSTAN, J. and MECKE, J. (1978). Infinitely Divisible Point Processes. Wiley, Chichester. MR0517931
  • 21
    • 0002416329 scopus 로고
    • Stationäre zufällige Masse auf lokalkompakten Abelschen Gruppen.
    • MR0228027
    • MECKE, J. (1967). Stationäre zufällige Masse auf lokalkompakten Abelschen Gruppen. Z. Wahrsch. Verw. Gebiete 9 36-58. MR0228027
    • (1967) Z. Wahrsch. Verw. Gebiete , vol.9 , pp. 36-58
    • MECKE, J.1
  • 22
    • 84981398121 scopus 로고
    • Invarianzeigenschaften allgemeiner Palmscher Maβe.
    • MR0374385
    • MECKE, J. (1975). Invarianzeigenschaften allgemeiner Palmscher Maβe. Math. Nachr. 65 335-344. MR0374385
    • (1975) Math. Nachr , vol.65 , pp. 335-344
    • MECKE, J.1
  • 23
    • 66149169084 scopus 로고    scopus 로고
    • NEVEU, J. (1977). Processus ponctuels. In École D'ÉtÉ de ProbabilitÉs de Saint-Flour, VI-1976. Lecture Notes in Mathematics 598 249-445. Springer, Berlin. MR0474493
    • NEVEU, J. (1977). Processus ponctuels. In École D'ÉtÉ de ProbabilitÉs de Saint-Flour, VI-1976. Lecture Notes in Mathematics 598 249-445. Springer, Berlin. MR0474493
  • 24
    • 84968466453 scopus 로고
    • Infinite particle systems
    • MR0326868
    • PORT, S. C. and STONE, C. J. (1973). Infinite particle systems. Trans. Amer. Math. Soc. 178 307-340. MR0326868
    • (1973) Trans. Amer. Math. Soc , vol.178 , pp. 307-340
    • PORT, S.C.1    STONE, C.J.2
  • 25
    • 66149191432 scopus 로고    scopus 로고
    • RACHEV, S. T. and RÜSCHENDORF, L. (1998). Mass Transportation Problems. I: Theory. Springer, New York. MR1619170
    • RACHEV, S. T. and RÜSCHENDORF, L. (1998). Mass Transportation Problems. Vol. I: Theory. Springer, New York. MR1619170
  • 26
    • 0030356848 scopus 로고    scopus 로고
    • Transforming random elements and shifting random fields
    • MR1415240
    • THORISSON, H. (1996). Transforming random elements and shifting random fields. Ann. Probab. 24 2057-2064. MR1415240
    • (1996) Ann. Probab , vol.24 , pp. 2057-2064
    • THORISSON, H.1
  • 27
    • 1542664453 scopus 로고    scopus 로고
    • Point-stationarity in d dimensions and Palm theory
    • MR1715440
    • THORISSON, H. (1999). Point-stationarity in d dimensions and Palm theory. Bernoulli 5 797-831. MR1715440
    • (1999) Bernoulli , vol.5 , pp. 797-831
    • THORISSON, H.1
  • 28
    • 66149162162 scopus 로고    scopus 로고
    • THORISSON, H. (2000). Coupling, Stationarity, and Regeneration. Springer, New York. MR1741181
    • THORISSON, H. (2000). Coupling, Stationarity, and Regeneration. Springer, New York. MR1741181
  • 29
    • 3042521549 scopus 로고    scopus 로고
    • Tree and grid factors for general point processes
    • electronic, MR2081459
    • TIMÁR, Á. (2004). Tree and grid factors for general point processes. Electron. Comm. Probab. 9 53-59 (electronic). MR2081459
    • (2004) Electron. Comm. Probab , vol.9 , pp. 53-59
    • TIMÁR, A.1
  • 30
    • 0002031342 scopus 로고    scopus 로고
    • ZäHLE, U. (1988). Self-similar random measures. I. Notion, carrying Hausdorff dimension, and hyperbolic distribution. Probab. Theory Related Fields 80 79-100. MR970472
    • ZäHLE, U. (1988). Self-similar random measures. I. Notion, carrying Hausdorff dimension, and hyperbolic distribution. Probab. Theory Related Fields 80 79-100. MR970472


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.