-
1
-
-
4043116925
-
Hausdorff dimension of the graph of the fractional Brownian sheet
-
Ayache, A. (2004). Hausdorff dimension of the graph of the fractional Brownian sheet, Rev. Mat. Iberoamericana 20, 395-412.
-
(2004)
Rev. Mat. Iberoamericana
, vol.20
, pp. 395-412
-
-
Ayache, A.1
-
2
-
-
0036254935
-
Drap Brownien fractionnaire
-
Ayache, A., Leger, S., and Pontier, M. (2002). Drap Brownien fractionnaire, Potential Theory 17, 31-43.
-
(2002)
Potential Theory
, vol.17
, pp. 31-43
-
-
Ayache, A.1
Leger, S.2
Pontier, M.3
-
3
-
-
0742306489
-
Rate optimality of wavelet series approximations of fractional Brownian sheet
-
Ayache, A. and Taqqu, M. S. (2003). Rate optimality of wavelet series approximations of fractional Brownian sheet, J. Fourier Anal. Appl. 9(5), 451-471.
-
(2003)
J. Fourier Anal. Appl
, vol.9
, Issue.5
, pp. 451-471
-
-
Ayache, A.1
Taqqu, M.S.2
-
4
-
-
33846994797
-
Joint continuity of the local times of fractional Brownian sheets
-
to appear
-
Ayache, A., Wu, D., and Xiao, Y. (2006). Joint continuity of the local times of fractional Brownian sheets, Ann. Inst. H. Poincaré Probab. Statist., to appear.
-
(2006)
Ann. Inst. H. Poincaré Probab. Statist
-
-
Ayache, A.1
Wu, D.2
Xiao, Y.3
-
5
-
-
23944466359
-
Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets
-
Ayache, A. and Xiao, Y. (2005). Asymptotic properties and Hausdorff dimensions of fractional Brownian sheets, J. Fourier Anal. Appl. 11(4), 407-439.
-
(2005)
J. Fourier Anal. Appl
, vol.11
, Issue.4
, pp. 407-439
-
-
Ayache, A.1
Xiao, Y.2
-
6
-
-
0141688191
-
Small ball probabilities of fractional Brownian sheets via fractional integration operators
-
Belinski, E. and Linde, W. (2002). Small ball probabilities of fractional Brownian sheets via fractional integration operators, J. Theoret. Probab. 15, 589-612.
-
(2002)
J. Theoret. Probab
, vol.15
, pp. 589-612
-
-
Belinski, E.1
Linde, W.2
-
7
-
-
0031496443
-
Elliptic Gaussian random processes
-
Benassi, A., Jaffard, S., and Roux, D. (1997). Elliptic Gaussian random processes, Rev. Mat. Iberoamericana 13, 19-90.
-
(1997)
Rev. Mat. Iberoamericana
, vol.13
, pp. 19-90
-
-
Benassi, A.1
Jaffard, S.2
Roux, D.3
-
8
-
-
33644799586
-
Aquifer operator-scaling and the effect on solute mixing and dispersion
-
18 pp
-
Benson, D. A., Meerschaert, M. M., Baeumer, B., and Scheffler, H. P. (2006). Aquifer operator-scaling and the effect on solute mixing and dispersion, Water Resources Research 42(1), W01415 (18 pp).
-
(2006)
Water Resources Research
, vol.42
, Issue.1
-
-
Benson, D.A.1
Meerschaert, M.M.2
Baeumer, B.3
Scheffler, H.P.4
-
9
-
-
0002807832
-
Local nondeterminism and local times of Gaussian processes
-
Berman, S. M. (1973). Local nondeterminism and local times of Gaussian processes, Indiana Univ. Math. J. 23, 69-94.
-
(1973)
Indiana Univ. Math. J
, vol.23
, pp. 69-94
-
-
Berman, S.M.1
-
10
-
-
33846947621
-
Operator scaling stable random fields
-
to appear
-
Biermé, H., Meerschaert, M. M., and Scheffler, H. P. (2006). Operator scaling stable random fields, Stochastic Process. Appl., to appear.
-
(2006)
Stochastic Process. Appl
-
-
Biermé, H.1
Meerschaert, M.M.2
Scheffler, H.P.3
-
11
-
-
0041350470
-
Anisotropic analysis of some Gaussian models
-
Bonami, A. and Estrade, A. (2003). Anisotropic analysis of some Gaussian models, J. Fourier Anal. Appl. 9(3), 215-236.
-
(2003)
J. Fourier Anal. Appl
, vol.9
, Issue.3
, pp. 215-236
-
-
Bonami, A.1
Estrade, A.2
-
12
-
-
0013264235
-
Joint continuity of Gaussian local times
-
Cuzick, J. and DuPreez, J. (1982). Joint continuity of Gaussian local times, Ann. Probab. 10, 810-817.
-
(1982)
Ann. Probab
, vol.10
, pp. 810-817
-
-
Cuzick, J.1
DuPreez, J.2
-
13
-
-
0033474256
-
Fractal analysis of surface roughness by using spatial data (with discussion)
-
Davies, S. and Hall, P. (1999). Fractal analysis of surface roughness by using spatial data (with discussion), J. Roy. Statist. Soc. Ser. B 61, 3-37.
-
(1999)
J. Roy. Statist. Soc. Ser. B
, vol.61
, pp. 3-37
-
-
Davies, S.1
Hall, P.2
-
14
-
-
0034563536
-
Estimates for the small ball probabilities of the fractional Brownian sheet
-
Dunker, T. (2000). Estimates for the small ball probabilities of the fractional Brownian sheet, J. Theoret. Probab. 13, 357-382.
-
(2000)
J. Theoret. Probab
, vol.13
, pp. 357-382
-
-
Dunker, T.1
-
15
-
-
14544268596
-
Optimality of an explicit series of the fractional Browinan sheet
-
Dzhaparidze, K. and van Zanten, H. (2005). Optimality of an explicit series of the fractional Browinan sheet, Statist. Probab. Lett. 71, 295-301.
-
(2005)
Statist. Probab. Lett
, vol.71
, pp. 295-301
-
-
Dzhaparidze, K.1
van Zanten, H.2
-
16
-
-
0036787612
-
On the most visited sites of symmetric Markov processes
-
Eisenbaum, N. and Khoshnevisan, D. (2002). On the most visited sites of symmetric Markov processes, Stoch. Process. Appl. 101, 241-256.
-
(2002)
Stoch. Process. Appl
, vol.101
, pp. 241-256
-
-
Eisenbaum, N.1
Khoshnevisan, D.2
-
18
-
-
0001290826
-
Continuity properties of Gaussian processes with multidimensional time parameter
-
California, Berkeley, CA, /, Univ. California Press, Berkeley. 1972
-
Garsia, A. M. (1972). Continuity properties of Gaussian processes with multidimensional time parameter, Proc. 6th Berkeley Symp. Math. Statist. Probability, (Univ. California, Berkeley, CA, 1970/1971), II, 369-374, Univ. California Press, Berkeley.
-
(1970)
Proc. 6th Berkeley Symp. Math. Statist. Probability, (Univ
, vol.2
, pp. 369-374
-
-
Garsia, A.M.1
-
19
-
-
0002902384
-
Occupation densities
-
Geman, D. and Horowitz, J. (1980). Occupation densities, Ann. Probab. 8, 1-67.
-
(1980)
Ann. Probab
, vol.8
, pp. 1-67
-
-
Geman, D.1
Horowitz, J.2
-
20
-
-
14944346629
-
From N parameter fractional Brownian motions to N parameter multifractional Brownian motions
-
to appear
-
Herbin, E. (2002). From N parameter fractional Brownian motions to N parameter multifractional Brownian motions, Rocky Mount. J. Math., to appear.
-
(2002)
Rocky Mount. J. Math
-
-
Herbin, E.1
-
23
-
-
18844399143
-
Ensembles aléatoires et dimensions
-
El Escorial, North-Holland, Amsterdam
-
Kahane, J.-P. (1985). Ensembles aléatoires et dimensions, in, Recent Progress in Fourier Analysis, (El Escorial, 1983), 65-121, North-Holland, Amsterdam.
-
(1983)
Recent Progress in Fourier Analysis
, pp. 65-121
-
-
Kahane, J.-P.1
-
24
-
-
0342810469
-
Fractals and random measures
-
Kahane, J.-P. (1993). Fractals and random measures, Bull. Sci. Math. 117, 153-159.
-
(1993)
Bull. Sci. Math
, vol.117
, pp. 153-159
-
-
Kahane, J.-P.1
-
26
-
-
0000176104
-
On the fractional anisotropic Wiener field
-
Kamont, A. (1996). On the fractional anisotropic Wiener field, Probab. Math. Statist. 16, 85-98.
-
(1996)
Probab. Math. Statist
, vol.16
, pp. 85-98
-
-
Kamont, A.1
-
27
-
-
33751397281
-
Fourier analysis and paths of Brownian motion
-
Kaufman, R. (1975). Fourier analysis and paths of Brownian motion, Bull. Soc. Math. France 103, 427-432.
-
(1975)
Bull. Soc. Math. France
, vol.103
, pp. 427-432
-
-
Kaufman, R.1
-
28
-
-
33748947145
-
Sectorial local nondeterminism and the geometry of the Brownian sheet
-
Khoshnevisan, D., Wu, D., and Xiao, Y. (2006). Sectorial local nondeterminism and the geometry of the Brownian sheet, Electron. J. Probab. 11, 817-843.
-
(2006)
Electron. J. Probab
, vol.11
, pp. 817-843
-
-
Khoshnevisan, D.1
Wu, D.2
Xiao, Y.3
-
30
-
-
0141643497
-
Optimal series representation of fractional Brownian sheet
-
Kühn, T. and Linde, W. (2002). Optimal series representation of fractional Brownian sheet, Bernoulli 8, 669-696.
-
(2002)
Bernoulli
, vol.8
, pp. 669-696
-
-
Kühn, T.1
Linde, W.2
-
31
-
-
0000501589
-
Fractional Brownian motion, fractional noises and applications
-
Mandelbrot, B. and Van Ness, J. (1968). Fractional Brownian motion, fractional noises and applications, SIAM Rev. 10, 422-437.
-
(1968)
SIAM Rev
, vol.10
, pp. 422-437
-
-
Mandelbrot, B.1
Van Ness, J.2
-
32
-
-
0042786029
-
Small deviations for some multi-parameter Gaussian processes
-
Mason, D. M. and Shi, Z. (2001). Small deviations for some multi-parameter Gaussian processes, J. Theoret. Probab. 14, 213-239.
-
(2001)
J. Theoret. Probab
, vol.14
, pp. 213-239
-
-
Mason, D.M.1
Shi, Z.2
-
34
-
-
0034556365
-
Salem sets and restriction properties of Fourier transforms
-
Mockenhaupt, G. (2000). Salem sets and restriction properties of Fourier transforms, Geom. Funct. Anal. 10, 1579-1587.
-
(2000)
Geom. Funct. Anal
, vol.10
, pp. 1579-1587
-
-
Mockenhaupt, G.1
-
35
-
-
0043228684
-
Uniform dimension results for the Brownian sheet
-
Mountford, T. S. (1989). Uniform dimension results for the Brownian sheet, Ann. Probab. 17, 1454-1462.
-
(1989)
Ann. Probab
, vol.17
, pp. 1454-1462
-
-
Mountford, T.S.1
-
36
-
-
2142709565
-
Hitting probabilities of a random string
-
Mueller, C. and Tribe, R. (2002). Hitting probabilities of a random string, Electron. J. Probab. 7(10), 1-29.
-
(2002)
Electron. J. Probab
, vol.7
, Issue.10
, pp. 1-29
-
-
Mueller, C.1
Tribe, R.2
-
37
-
-
33846949049
-
Stochastic heat equation driven by fractional noise
-
preprint
-
Nualart, D. (2006). Stochastic heat equation driven by fractional noise, preprint.
-
(2006)
-
-
Nualart, D.1
-
38
-
-
0000471777
-
Multiparameter fractional Brownian motion and quasi-linear stochastic partial differential equations
-
Øksendal, B. and Zhang, T. (2000). Multiparameter fractional Brownian motion and quasi-linear stochastic partial differential equations, Stoch. Stoch. Rep. 71, 141-163.
-
(2000)
Stoch. Stoch. Rep
, vol.71
, pp. 141-163
-
-
Øksendal, B.1
Zhang, T.2
-
39
-
-
0001564922
-
Local times for Gaussian vector fields
-
Pitt, L. D. (1978). Local times for Gaussian vector fields, Indiana Univ. Math. J. 27, 309-330.
-
(1978)
Indiana Univ. Math. J
, vol.27
, pp. 309-330
-
-
Pitt, L.D.1
-
41
-
-
33751433580
-
Images of Gaussian random fields: Salem sets and interior points
-
Shieh, N. and Xiao, Y. (2006). Images of Gaussian random fields: Salem sets and interior points, Stud. Math. 176, 37-60.
-
(2006)
Stud. Math
, vol.176
, pp. 37-60
-
-
Shieh, N.1
Xiao, Y.2
-
42
-
-
84971877468
-
Two definitions of fractional dimension
-
Tricot, C. (1982). Two definitions of fractional dimension, Math. Proc. Cambridge Phil. Soc. 91, 57-74.
-
(1982)
Math. Proc. Cambridge Phil. Soc
, vol.91
, pp. 57-74
-
-
Tricot, C.1
-
44
-
-
0039710539
-
Hausdorff measure of the sample paths of Gaussian random fields
-
Xiao, Y. (1996). Hausdorff measure of the sample paths of Gaussian random fields, Osaka J. Math. 33, 895-913.
-
(1996)
Osaka J. Math
, vol.33
, pp. 895-913
-
-
Xiao, Y.1
-
45
-
-
0031574846
-
Packing dimension of the image of fractional Brownian motion
-
Xiao, Y. (1997). Packing dimension of the image of fractional Brownian motion, Statist. Probab. Lett. 33, 379-387.
-
(1997)
Statist. Probab. Lett
, vol.33
, pp. 379-387
-
-
Xiao, Y.1
-
46
-
-
33846986040
-
Properties of local nondeterminism of Gaussian and stable random fields and their applications
-
Xiao, Y. (2006). Properties of local nondeterminism of Gaussian and stable random fields and their applications, Ann. Fac. Sci. Toulouse Math. XV, 157-193.
-
(2006)
Ann. Fac. Sci. Toulouse Math
, vol.15
, pp. 157-193
-
-
Xiao, Y.1
-
47
-
-
51849089017
-
Strong local nondeterminism and sample path properties of Gaussian random fields
-
submitted
-
Xiao, Y. (2006). Strong local nondeterminism and sample path properties of Gaussian random fields, submitted.
-
(2006)
-
-
Xiao, Y.1
-
48
-
-
34547591403
-
Sample path properties of anisotropic Gaussian random fields
-
in preparation
-
Xiao, Y. (2006). Sample path properties of anisotropic Gaussian random fields, in preparation.
-
(2006)
-
-
Xiao, Y.1
-
49
-
-
0035981340
-
Local times of fractional Brownian sheets
-
Xiao, Y. and Zhang, T. (2002). Local times of fractional Brownian sheets, Probab. Theory Relat. Fields 124, 204-226.
-
(2002)
Probab. Theory Relat. Fields
, vol.124
, pp. 204-226
-
-
Xiao, Y.1
Zhang, T.2
-
50
-
-
84953751498
-
-
Cambridge University Press, Cambridge
-
Zygmund, A. (1959). Trigonometric Series, Vol. I, Cambridge University Press, Cambridge.
-
(1959)
Trigonometric Series
, vol.1
-
-
Zygmund, A.1
|