Pitt L D, Robeva R S. On the sharp Markov property for Gaussian random fields and spectral synthesis in spaces of bessel potentials[J]. Annals of Probability, 2003, 31(3): 1338-1376.
2
Dalang R C. Level Sets and Excursions of the Brownian Sheet[C]., 2003: 167-208.
3
Carnal E, Walsh J B. Markov Properties for Certain Random Fields[C]., 1991: 91-110.
4
Dalang R C, Hou Q. On Markov property of Lévy waves in two dimensions[J]. Stochastic Processes and their Applications, 1997, 72(2): 265-287.
5
Khoshnevisan D. Slices of a Brownian Sheet: New Results and Open Problems[C]., 2005: 135-174.
6
Khoshnevisan D. On the Distribution of Bubbles of the Brownian Sheet[J]. Annals of Probability, 1995, 23(2): 786-805.
7
Imkeller P, Weisz F. Critical Dimensions for the Existence of Self-Intersection Local Times of the N -Parameter Brownian Motion in R d[J]. Journal of Theoretical Probability, 1999, 12(3): 721-737.
8
Balanca P, Herbin E. A set-indexed Ornstein-Uhlenbeck process[J]. Electronic Communications in Probability, 2012, 17(0): 1-14.
9
Kimberly K. Strong Markov Properties for Markov Random Fields[J]. Journal of Theoretical Probability, 2000, 13(4): 1101-1114.
10
Balanca P. An Increment-Type Set-Indexed Markov Property[J]. Journal of Theoretical Probability, 2014, 28(4): 1271-1310.
Stochastic proofs of the Beurling projection theorem and the Hall projection theorem for harmonic measure are given. Some$d$-dimensional versions (for all$d$>1) which follow from this