@article{AIHPB_2002__38_6_863_0, author = {Diaconis, Persi and Evans, Steven N.}, title = {A different construction of gaussian fields from {Markov} chains : {Dirichlet} covariances}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {863--878}, publisher = {Elsevier}, volume = {38}, number = {6}, year = {2002}, mrnumber = {1955341}, zbl = {1033.60049}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_2002__38_6_863_0/} }
TY - JOUR AU - Diaconis, Persi AU - Evans, Steven N. TI - A different construction of gaussian fields from Markov chains : Dirichlet covariances JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2002 SP - 863 EP - 878 VL - 38 IS - 6 PB - Elsevier UR - http://archive.numdam.org/item/AIHPB_2002__38_6_863_0/ LA - en ID - AIHPB_2002__38_6_863_0 ER -
%0 Journal Article %A Diaconis, Persi %A Evans, Steven N. %T A different construction of gaussian fields from Markov chains : Dirichlet covariances %J Annales de l'I.H.P. Probabilités et statistiques %D 2002 %P 863-878 %V 38 %N 6 %I Elsevier %U http://archive.numdam.org/item/AIHPB_2002__38_6_863_0/ %G en %F AIHPB_2002__38_6_863_0
Diaconis, Persi; Evans, Steven N. A different construction of gaussian fields from Markov chains : Dirichlet covariances. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 6, pp. 863-878. http://archive.numdam.org/item/AIHPB_2002__38_6_863_0/
[1] Spatial interaction and the statistical analysis of lattice systems, J. Roy. Statist. Soc. Ser. B 36 (1974) 192-236, With discussion by D.R. Cox, A.G. Hawkes, P. Clifford, P. Whittle, K. Ord, R. Mead, J.M. Hammersley, and M.S. Bartlett and with a reply by the author. | MR | Zbl
,[2] Bayesian computation and stochastic systems, Statist. Sci. 10 (1) (1995) 3-66, With comments and a reply by the authors. | MR | Zbl
, , , ,[3] Spatial statistics and Bayesian computation, J. Roy. Statist. Soc. Ser. B 55 (1) (1993) 25-37. | MR | Zbl
, ,[4] Bayesian analysis of agricultural field experiments, J. Roy. Statist. Soc. Ser. B Stat. Methodol. 61 (4) (1999) 691-746, With discussion and a reply by the authors. | MR | Zbl
, ,[5] On conditional and intrinsic autoregressions, Biometrika 82 (4) (1995) 733-746. | MR | Zbl
, ,[6] Espaces de Dirichlet. I. Le cas élémentaire, Acta Math. 99 (1958) 203-224. | MR | Zbl
, ,[7] On the functional central limit theorem and the law of the iterated logarithm for Markov processes, Z. Wahrsch. Verw. Gebiete 60 (2) (1982) 185-201. | MR | Zbl
,[8] E. Bolthausen, Random walk representations and entropic repulsion for gradient models. Preprint, 2001. | MR
[9] Error propagation in absolute geodetic networks - a continuous approach, in: Optimization of Design and Computation of Control Networks (Proc. Internat. Sympos., Sopron, 1977), Akad. Kiadó, Budapest, 1979, pp. 459-472.
,[10] Plane Networks and Their Applications, Birkhäuser Boston, Boston, MA, 2001. | MR | Zbl
,[11] Strength analysis of leveling-type networks. An application of random walk theory, Geodaet. Inst. Medd. 50 (1974) 80. | MR
, ,[12] The random walk representation of classical spin systems and correlation inequalities, Comm. Math. Phys. 83 (1) (1982) 123-150. | MR
, , ,[13] Linear functionals of eigenvalues of random matrices, Trans. Amer. Math. Soc. 353 (2001) 2615-2633. | MR | Zbl
, ,[14] On the statistics of vision: the Julesz conjecture, J. Math. Psych. 24 (2) (1981) 112-138. | MR | Zbl
, ,[15] On the eigenvalues of random matrices, J. Appl. Probab. 31A (1994) 49-62. | MR | Zbl
, ,[16] Two-parameter harnesses and the Wiener process, Z. Wahrsch. Verw. Gebiete 56 (4) (1981) 507-514. | MR | Zbl
,[17] Stochastic Processes with a Multidimensional Parameter, Longman Scientific & Technical, Harlow, 1989. | MR | Zbl
,[18] Markov processes and random fields, Bull. Amer. Math. Soc. (N.S.) 3 (3) (1980) 975-999. | MR | Zbl
,[19] Markov processes as a tool in field theory, J. Funct. Anal. 50 (2) (1983) 167-187. | MR | Zbl
,[20] Gaussian and non-Gaussian random fields associated with Markov processes, J. Funct. Anal. 55 (3) (1984) 344-376. | MR | Zbl
,[21] Polynomials of the occupation field and related random fields, J. Funct. Anal. 58 (1) (1984) 20-52. | MR | Zbl
,[22] Une version sans conditionnement du théorème d'isomorphisms de Dynkin, in: Séminaire de Probabilités, XXIX, Lecture Notes in Math., 1613, Springer, Berlin, 1995, pp. 266-289. | Numdam | MR | Zbl
,[23] Dirichlet Forms and Symmetric Markov Processes, Walter de Gruyter, Berlin, 1994. | MR | Zbl
, , ,[24] Multigrid Monte-Carlo method: conceptual foundations, Phys. Rev. D 40 (1989) 2035-2071.
, ,[25] Hypercontractivity over complex manifolds, Acta Math. 182 (2) (1999) 159-206. | MR | Zbl
,[26] Harnesses, in: Proc. Fifth Berkeley Sympos. Mathematical Statistics and Probability (Berkeley, Calif., 1965/66), Vol. III: Physical Sciences, Univ. California Press, Berkeley, CA, 1967, pp. 89-117. | MR
,[27] On random matrices from the compact classical groups, Ann. of Math. (2) 145 (1997) 519-545. | MR | Zbl
,[28] Random variables with unsymmetrical linear regressions, Math. Proc. Cambridge Philos. Soc. 98 (2) (1985) 355-365. | MR | Zbl
,[29] The construction of infinite collections of random variables with linear regressions, Adv. Appl. Probab. (suppl.) (1986) 73-85. | MR | Zbl
,[30] Moduli of continuity of local times of strongly symmetric Markov processes via Gaussian processes, J. Theoret. Probab. 5 (4) (1992) 791-825. | MR | Zbl
, ,[31] Moment generating functions for local times of symmetric Markov processes and random walks, in: Probability in Banach Spaces, 8 (Brunswick, ME, 1991), Birkhäuser Boston, Boston, MA, 1992, pp. 364-376. | MR | Zbl
, ,[32] p-variation of the local times of symmetric stable processes and of Gaussian processes with stationary increments, Ann. Probab. 20 (4) (1992) 1685-1713. | MR | Zbl
, ,[33] Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes, Ann. Probab. 20 (4) (1992) 1603-1684. | MR | Zbl
, ,[34] φ-variation of the local times of symmetric Lévy processes and stationary Gaussian processes, in: Seminar on Stochastic Processes, 1992 (Seattle, WA, 1992), Birkhäuser Boston, Boston, MA, 1993, pp. 209-220. | Zbl
, ,[35] Random Matrices, Academic Press, Boston, MA, 1991. | MR | Zbl
,[36] Topics in Fourier Analysis and Function Spaces, Wiley, Chichester, 1987. | MR | Zbl
, ,[37] On the Ray-Knight Markov property of local times, J. London Math. Soc. (2) 31 (2) (1985) 377-384. | MR | Zbl
,[38] Euclidean quantum field theory, in: (Ed.), Local Quantum Theory, Academic, New York, 1969.
,[39] Some basic theorems on harnesses, in: Stochastic Analysis (a tribute to the memory of Rollo Davidson), Wiley, London, 1973, pp. 349-363. | MR
,[40] Prediction and design, Ann. Statist. 15 (1) (1987) 1-19. | MR | Zbl
,