Stochastic analysis on the extended sample space and tightness
results. Probab. Theory Relat. Fields, 86 (1990),
517-549.
On reflected Dirichlet spaces. Probab. Theory
Relat. Fields, 94 (1992), 135-162.
Pseudo Jordan domains and reflecting Brownian motions. Probab. Theory Relat. Fields, 94 (1992), 271-280.
On reflecting diffusion processes and Skorokhod
decompositions. Probab. Theory Relat. Fields, 94 (1993), 281-316.
Reflecting
Brownian motions: quasimartingales and strong Caccioppoli sets. Potential Analysis, 2 (1993), 219-243.
(with P.J. Fitzsimmons and R.J. Williams)
The binding capacity is a probability
density function. Biophysical Journal, 65 (1993), 164-170.
(with E. DiCera)
Switched diffusion processes and systems
of elliptic equations--a Dirichlet space approach. Proc. Royal Soc. Edinburgh, 124A (1994),
673-701. (with Z. Zhao)
On the existence of
positive solutions of semilinear elliptic equations with Dirichlet
boundary conditions. Math. Ann. 298 (1994),
543-556. (with R.J. Williams and Z. Zhao)
A Sobolev inequality
and Neumann heat kernel estimate for unbounded domains. Math. Research Letters, 1 (1994), 177-184.
(with R.J. Williams and Z. Zhao)
Quasi-homeomorphisms of
Dirichlet forms. Nagoya J. Math. 136 (1994), 1-15.
(with Z.M. Ma and M. Roeckner)
Diffusion processes and second order
elliptic operators with singular coefficients for lower order terms. Math. Ann. 302 (1995), 323-357.
(with Z. Zhao)
On the existence of
positive solutions of semilinear elliptic equations with Neumann
boundary conditions. Probab. Theory Relat.
Fields, 101 (1995), 251-276.
(with R.J. Williams and Z. Zhao)
Non-negative
solutions for semilinear elliptic equations with
boundary conditions--a probabilistic approach. Proceedings of Symposia in Pure Mathematics,
vol. 57 (1995), 65-82.
(with R.J. Williams and Z. Zhao)
Reflecting Brownian motions
and a deletion result for Sobolev spaces of order (1,2). Potential Analysis, 5 (1996). 383-401.
Martin boundary and integral representation for
harmonic functions of symmetric stable processes. J. Funct. Anal. 159 (1998), 267-294.
(with R. Song)
On the existence of
positive solutions for semilinear
elliptic equations with singular lower order coefficients
and Dirichlet boundary conditions. Math. Ann. 315 (1999), 735--769.
(with R.J. Williams and Z. Zhao)
Intrinsic ultracontractivity, conditional lifetimes
and conditional gauge for symmetric
stable processes on rough domains. Ill. J. Math. 44 (2000), 138--160.
(with R. Song)
Multidimensional symmetric stable processes. Korean J. Comput. Appl. Math. 6 (1999), 227-266
Crossing estimates for symmetric Markov processes. Probab. Theory Relat. Fields.
120 (2001), 68-84.
(with P.J. Fitzsimmons and R. Song)
A Note on Green function estimates
for symmetric stable processes.
In Recent Developments in Stochastic Analysis and
Related Topics, p.125-135.
Proceedings of the First Sino-German
Conference on Stochastic Analysis (2002). World Scientific, 2004.
(with R. Song)
Stochastic differential equations for Dirichlet processes. Probab. Theory Relat. Fields, 121 (2001), 422-446.
(with R. Bass)
The heat equation in time dependent domains
with insulated boundaries. J. Math. Anal. Appl.294 (2004), 581-595.
(with K. Burdzy and J. Sylvester)
Heat equation and reflected Brownian motion
in time dependent domains II: Singularities of Solutions. J. Funct. Anal. 204 (2003), 1-34.
(with K. Burdzy and J. Sylvester)
Girsanov and Feynman-Kac type
transformations for symmetric Markov processes. Ann. Inst. Henri Poincare Probab. Statist.,
38 (2002), 475-505.
(with T.-S. Zhang)
Stochastic differential equations driven by
stable processes for which pathwise uniqueness fails. Stochastic Process Appl. 111 (2004), 1-15.
(with R. Bass and K. Burdzy)
Heat kernel estimates for stable-like processes
on d-sets. Stochastic Process Appl. 108 (2003),
27-62.
(with T. Kumagai)
Traps for reflecting Brownian motion. Math. Z.252 (2006), 103-132. (with K. Burdzy and D. Marshall)
Stability of Martin boundary
under non-local Feynman-Kac perturbations. Probab. Theory Relat. Fields,
128 (2004), 525-564.
(with P. Kim)
Boundary trace of reflecting Brownian motions. Probab. Theory Relat. Fields,
129 (2004), 1-17.
(with I. Benjamini and S. Rohde)
Systems of equations driven by stable processes. Probab. Theory Relat. Fields, 134 (2006), 175-214.
(with R. Bass)
One-dimensional stochastic differential equations
with singular and degenerate coefficients. Sankhya67 (2005), 19-45. (with R. Bass)
Two-sided eigenvalue estimates for subordinate processes
in domains. J. Funct. Anal.226 (2005),
90-113. (with R. Song)
Continuity of eigenvalues of
subordinate processes in domains. Math. Z.252 (2006), 71-89. (with R. Song)
Synchronous couplings of reflected Brownian motions in smooth domains.
Ill. J. Math.50 (2006) (Special volume in memory
of Joseph Doob) 189-268. (with K. Burdzy and P. Jones)
Entrance law, exit system and
Levy system of time-changed processes. Ill. J. Math.50 (2006) (Special volume in memory
of Joseph Doob) 269-312. (with M. Fukushima and J. Ying)
On the Robin problem in fractal domains. Proc. London
Math. Soc.96 (2008), 273-311. (with R. F. Bass and K. Burdzy)
Comparision of potential theoretic properties of
rough domains. Proc. Ameri. Math. Soc.134 (2006), 3247-3253.
(with K. Burdzy)
Shy couplings. Probab. Theory Relat. Fields, 137 (2007), 345-377.
(with I. Benjamini and K. Burdzy)
Spectral properties of
subordinate processes in domains.
In Stochastic Analysis and Partial Differential Equations,
77-84. (Eds. G-Q Chen, E. Hsu and M. Pinsky.)
AMS Compt. Math. 429 (2007).
(with R. Song)
Extending Markov processes in weak duality
by Poisson point processes of excursions. Proceedings of the Abel Symposium 2005,
Stochastic Analysis and Applications-A Symposium in Honor
of Kiyosi Itô.
(Eds) F.E. Benth, G. Di
Nunno, T. Lindstrom, B. Oksendal and T. Zhang, Springer, 2007,
pp153-196. (with M. Fukushima and J. Ying)