-
1
-
-
0002163683
-
Diffusions on fractals
-
[Ba], École d'Été de Probabilités de Saint-Flour XXV - 1995, Lecture Notes in Math. 1690, Springer, New York
-
[Ba] M. T. Barlow, Diffusions on fractals, in: Lectures on Probability Theory and Statistics, École d'Été de Probabilités de Saint-Flour XXV - 1995, Lecture Notes in Math. 1690, Springer, New York, 1998, 1-121.
-
(1998)
Lectures on Probability Theory and Statistics
, pp. 1-121
-
-
Barlow, M.T.1
-
2
-
-
0001035130
-
The construction of Brownian motion on the Sierpiński carpet
-
[BB]
-
[BB] M. T. Barlow and R. F. Bass, The construction of Brownian motion on the Sierpiński carpet, Ann. Inst. H. Poincaré Probab. Statist. 25 (1989), 225-257.
-
(1989)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.25
, pp. 225-257
-
-
Barlow, M.T.1
Bass, R.F.2
-
3
-
-
0033465207
-
Brownian motion and harmonic analysis on Sierpiński carpets
-
[BB1]
-
[BB1] _,_, Brownian motion and harmonic analysis on Sierpiński carpets, Canad. J. Math. 51 (1999), 673-744.
-
(1999)
Canad. J. Math.
, vol.51
, pp. 673-744
-
-
-
6
-
-
0141457561
-
Harnack inequalities for jump processes
-
[BL]
-
[BL] R. F. Bass and D. A. Levin, Harnack inequalities for jump processes, Potential Anal. 17 (2002), 375-388.
-
(2002)
Potential Anal.
, vol.17
, pp. 375-388
-
-
Bass, R.F.1
Levin, D.A.2
-
7
-
-
0004044694
-
-
[Be], Cambridge Univ. Press, Cambridge
-
[Be] J. Bertoin, Lévy Processes, Cambridge Univ. Press, Cambridge, 1996.
-
(1996)
Lévy Processes
-
-
Bertoin, J.1
-
8
-
-
0010682521
-
Markov Processes and Potential Theory
-
[BG], Academic Press, New York
-
[BG] R. M. Blumenthal and R. K. Getoor, Markov Processes and Potential Theory, Pure Appl. Math. 29, Academic Press, New York, 1968.
-
(1968)
Pure Appl. Math.
, vol.29
-
-
Blumenthal, R.M.1
Getoor, R.K.2
-
9
-
-
0031444990
-
The boundary Harnack principle for the fractional Laplacian
-
[B]
-
[B] K. Bogdan, The boundary Harnack principle for the fractional Laplacian, Studia Math. 123 (1997), 43-80.
-
(1997)
Studia Math.
, vol.123
, pp. 43-80
-
-
Bogdan, K.1
-
10
-
-
0000141096
-
Probabilistic proof of boundary Harnack principle for α-harmonic functions
-
[BBy]
-
[BBy] K. Bogdan and T. Byczkowski, Probabilistic proof of boundary Harnack principle for α-harmonic functions, Potential Anal. 11 (1999), 135-156.
-
(1999)
Potential Anal.
, vol.11
, pp. 135-156
-
-
Bogdan, K.1
Byczkowski, T.2
-
11
-
-
0038729542
-
Harnack inequality for symmetric stable processes on fractals
-
[BSS]
-
[BSS] K. Bogdan, A. Stós and P. Sztonyk, Harnack inequality for symmetric stable processes on fractals, C. R. Acad. Sci. Paris Sér. I 335 (2002), 59-63.
-
(2002)
C. R. Acad. Sci. Paris Sér. I
, vol.335
, pp. 59-63
-
-
Bogdan, K.1
Stós, A.2
Sztonyk, P.3
-
13
-
-
0001600528
-
Intrinsic ultracontractivity and conditional gauge for symmetric stable processes
-
[CS]
-
[CS] Z.-Q. Chen and R. Song, Intrinsic ultracontractivity and conditional gauge for symmetric stable processes, J. Funct. Anal. 159 (1998), 267-294.
-
(1998)
J. Funct. Anal.
, vol.159
, pp. 267-294
-
-
Chen, Z.-Q.1
Song, R.2
-
15
-
-
0347917936
-
Fractal differential equations on the Sierpiński gasket
-
[DSV]
-
[DSV] K. Darlymple, R. Strichartz and J. P. Vinson, Fractal differential equations on the Sierpiński gasket, J. Fourier Anal. Appl. 5 (1999), 203-284.
-
(1999)
J. Fourier Anal. Appl.
, vol.5
, pp. 203-284
-
-
Darlymple, K.1
Strichartz, R.2
Vinson, J.P.3
-
19
-
-
0037907017
-
Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions
-
[FJ]
-
[FJ] W. Farkas and N. Jacob, Sobolev spaces on non-smooth domains and Dirichlet forms related to subordinate reflecting diffusions, Math. Nachr. 224 (2001), 75-104.
-
(2001)
Math. Nachr.
, vol.224
, pp. 75-104
-
-
Farkas, W.1
Jacob, N.2
-
20
-
-
0003523792
-
-
[FOT], de Gruyter, Berlin
-
[FOT] M. Fukushima, Y. Oshima and M. Takeda, Dirichlet Forms and Symmetric Markov Processes, de Gruyter, Berlin, 1994.
-
(1994)
Dirichlet Forms and Symmetric Markov Processes
-
-
Fukushima, M.1
Oshima, Y.2
Takeda, M.3
-
21
-
-
0037209548
-
On Sobolev and capacitary inequalities for contractive Besov spaces over d-sets
-
[FU]
-
[FU] M. Fukushima and T. Uemura, On Sobolev and capacitary inequalities for contractive Besov spaces over d-sets, Potential Anal. 18 (2003), 59-77.
-
(2003)
Potential Anal.
, vol.18
, pp. 59-77
-
-
Fukushima, M.1
Uemura, T.2
-
22
-
-
0037407173
-
Heat kernels on metric measure spaces and an application to semilinear elliptic equations
-
[G]
-
[G] A. Grigor'yan, J. X. Hu and K.-S. Lau, Heat kernels on metric measure spaces and an application to semilinear elliptic equations, Trans. Amer. Math. Soc. 355 (2003), 2065-2095.
-
(2003)
Trans. Amer. Math. Soc.
, vol.355
, pp. 2065-2095
-
-
Grigor'Yan, A.1
Hu, J.X.2
Lau, K.-S.3
-
23
-
-
0001928818
-
A lower Lipschitz condition for the stable subordinator
-
[H]
-
[H] J. Hawkes, A lower Lipschitz condition for the stable subordinator, Z. Wahrsch. Verw. Geb. 17 (1971), 23-32.
-
(1971)
Z. Wahrsch. Verw. Geb.
, vol.17
, pp. 23-32
-
-
Hawkes, J.1
-
25
-
-
0012896944
-
On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes
-
[IW]
-
[IW] N. Ikeda and S. Watanabe, On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes, J. Math. Kyoto Univ. 2 (1962), 79-95.
-
(1962)
J. Math. Kyoto Univ.
, vol.2
, pp. 79-95
-
-
Ikeda, N.1
Watanabe, S.2
-
26
-
-
0002814972
-
Boundary value problems on Lipschitz domains
-
[JK], W. Littman (ed.), Studies in Partial Differential Equations, Washington, DC
-
[JK] D. S. Jerison and C. E. Kenig, Boundary value problems on Lipschitz domains, in: W. Littman (ed.), Studies in Partial Differential Equations, MAA Stud. Math. 23, Math. Assoc. Amer., Washington, DC, 1982, 1-68.
-
(1982)
MAA Stud. Math. 23, Math. Assoc. Amer.
, pp. 1-68
-
-
Jerison, D.S.1
Kenig, C.E.2
-
27
-
-
0000755710
-
Brownian motion on fractals and function spaces
-
[J]
-
[J] A. Jonsson, Brownian motion on fractals and function spaces, Math. Z. 222 (1996), 495-504.
-
(1996)
Math. Z.
, vol.222
, pp. 495-504
-
-
Jonsson, A.1
-
28
-
-
0003289212
-
N
-
[JW], Harwood, London
-
N, Math. Rep. 2, no. 1, Harwood, London, 1984.
-
(1984)
Math. Rep. 2
, Issue.1
-
-
Jonsson, A.1
Wallin, H.2
-
29
-
-
0141547644
-
Some remarks for stable-like jump processes on fractals
-
[Kum], Birkhäuser
-
[Kum] T. Kumagai, Some remarks for stable-like jump processes on fractals, in: Proc. Conf. held in Graz, 2001, Birkhäuser, 2002, 185-196.
-
(2002)
Proc. Conf. Held in Graz, 2001
, pp. 185-196
-
-
Kumagai, T.1
-
31
-
-
0013295907
-
On function spaces related to fractional diffusions on d-sets
-
[P]
-
[P] K. Pietruska-Paluba, On function spaces related to fractional diffusions on d-sets, Stochastics Stochastics Rep. 70 (2000), 153-164.
-
(2000)
Stochastics Stochastics Rep.
, vol.70
, pp. 153-164
-
-
Pietruska-Paluba, K.1
-
32
-
-
0001446809
-
Infinitely divisible processes and their potential theory
-
[PS]
-
[PS] S. C. Port and C. J. Stone, Infinitely divisible processes and their potential theory, Ann. Inst. Fourier (Grenoble) 21 (1971), no. 2, 157-275, and no. 4, 179-265.
-
(1971)
Ann. Inst. Fourier (Grenoble)
, vol.21
, Issue.2-4
, pp. 157-275
-
-
Port, S.C.1
Stone, C.J.2
-
33
-
-
0036251925
-
Estimates of Green function for relativistic α-stable process
-
[R]
-
[R] M. Ryznar, Estimates of Green function for relativistic α-stable process, Potential Anal. 17 (2002), 1-23.
-
(2002)
Potential Anal.
, vol.17
, pp. 1-23
-
-
Ryznar, M.1
-
34
-
-
0037983285
-
Boundary Harnack principle for symmetric stable processes
-
[SW]
-
[SW] R. Song and J. M. Wu, Boundary Harnack principle for symmetric stable processes, J. Funct. Anal. 168 (1999), 403-427.
-
(1999)
J. Funct. Anal.
, vol.168
, pp. 403-427
-
-
Song, R.1
Wu, J.M.2
-
35
-
-
0013185120
-
Symmetric stable processes on d-sets
-
[S]
-
[S] A. Stós, Symmetric stable processes on d-sets, Bull. Polish Acad. Sci. Math. 48 (2000), 237-245.
-
(2000)
Bull. Polish Acad. Sci. Math.
, vol.48
, pp. 237-245
-
-
Stós, A.1
-
36
-
-
0000722104
-
Analysis on fractals
-
[Str]
-
[Str] R. Strichartz, Analysis on fractals, Notices Amer. Math. Soc. 46 (1999), 1199-1208.
-
(1999)
Notices Amer. Math. Soc.
, vol.46
, pp. 1199-1208
-
-
Strichartz, R.1
|