Publications of Feng-Yu Wang since
1993
Published books:
"Functional Inequalities, Markov Processes and Spectral Theory", Science
Press, Beijing, 2004.
Published Papers:
1993--1998
| 1999--2000 | 2001--2002
| 2003-- | Back
to the home page of F.-Y. Wang
<A.D. 1993--A.D. 1998>
1. On order-preservation and positive correlations for multidimensional diffusion
processes, Prob. Th. Rel. Fields 95(1993),421-428. With M.F.Chen
2. Application of coupling method to the first eigenvalue on manifold, Sci.
Sin.(A), 23:11(1993) (Chinese Edition), 1130-1140; 37:1(1994)(English Edition),
1-14. With M.F.Chen
3. Successful couplings for nongenerated diffusions on compact manifolds,Acta
Math. Sin. 37(1994), 116--121.
4. Ergodicity for infinite-dimensional diffusion processes, Sci. Sin. (A) 37:2(1994),
137--146.
5. Application of coupling method to the Neumann eigenvalue problem, Probability
Theory Rel. Fields 98(1994), 299--306.
6. Gradient estimates for generalized harmonic functions on manifolds, Chinese
Sci. Bull. 39:22(1994), 1849--1852.
7. Gradient estimates on Rn, Canad. Math. Bull. 37:4(1994), 560--570.
8. Basic couplings for diffusion processes on manifolds, Chinese Appl. Math.
7:4 (1994), 417--422.
9. On estimation of logarithmic Sobolev constant, Journal of Beijing Normal
Univ. 30:4(1994), 448--452.
10. Order-preservation and positive correlations for diffusion processes on
torus, J. Northeast Chinese Math. 10:2(1994), 149--158. With S.J.Yan
11. Estimation of the first eigenvalue of second order elliptic operators,
J. Funct. Anal. 131:2(1995), 345-363. With M.F.Chen
12. Estimates of the first Dirichlet eigenvalues by using diffusion processes,
Probability Theory Relat. Fields 101(1995), 363--369.
13. Uniqueness of Gibbs state and the L2-convergence for infinite-dimensional
reflecting diffusion processes, Sci. Sin. (A) 38:5(1995), 908--817.
14. Spectral gap for diffusion processes on noncompact manifolds, Chinese Sci.
Bull. 40:5(1995), 1145--1149.
15. Asymptotic behavior for hitting time of the large geodesic balls by Brownian
motion, J. Northeast Chinese Math. 12:1(1996), 55--60.
16. Estimates of the first eigenvalue and the applications to Yang-Mills lattice
fields, Chinese Ann. Math. 17A:2(1996),147--154 (Chinese version); Chinese J.
Contemporary Math. 17:2(1996), 119--126 (English version).
17. Logarithmic Sobolev inequalities for diffusion processes with application
to path space, Chinese J. Appl. Probab. Statist. 12(1996), 255-264.
18. Estimates of the logarithmic Sobolev constant for finite volume continuous
spin systems, J. Statistical Physics, 84:1/2(1996),277--293.
19. On the contractivity of diffusion semigroups with respect to Lipschitz
constant, J. Beijing Normal Univ. 32:4(1996), 447--451.
20. Estimates of logarithmic Sobolev constant: an improvement of Bakry-Emery
criterion, J. Funct. Anal. 144(1997), 287-300. With M.F.Chen
21. Estimation of spectral gap for elliptic operators, Trans. Amer. Math. Soc.
349:3(1997), 1239-1267. With M.F.Chen
22. General formula for lower bound of the first eigenvalue,Sci. Sin. (A) 27:1(1997),
34--42(Chinese Edition);40:4(1997), 384--394 (English Edition). With M.F.Chen
23. A probabilistic approach to the first Dirichlet eigenvalue on noncompact
manifolds, Act Math. Sin. New Ser. 13:1(1997), 116--126.
24. On estimation of logarithmic Sobolev constant and gradient estimates of
heat semigroups, Probability Theory Relat. Fields 108(1997), 87--101.
25. On order-preservation for couplings of multidimensional diffusion processes,
Chinese J. Appl. Probab. Stat.13:2(1997), 142--148. With M.P.Xu
26. Logarithmic Sobolev inequalities on noncompact Riemannian manifolds, Probability
Theory Relat. Fields 109(1997), 417--424.
27. Bakry-Emery's criterion on Riemannian domains, J. Beijing Normal Univ.
33(1997).
28. Sharp explicit lower bounds of heat kernels,Ann. of Probability 25:4(1997),
1995--2006.
29. Gradient estimates for harmonic functions on regular domains in Riemannian
manifolds, J. Funct. Anal. 155:1(1998),109--124. With A. Thalmaier
30. The life time of diffusion processes with application to conditioned diffusions,
Acta Math. Sin. New Ser. 14:2(1998), 113--116.
31. Estimates for Dirichlet heat kernels, Stochastic Processes and Their Appl.
74(1998), 217--234.
<A.D. 1999--A.D. 2000>
32. General formulae for the lower bound of the first two Dirichlet eigenvalues,
Taiwanese J. Math. 3:2(1999), 235--242.
33. Spectral gap on path spaces with infinite time-interval, Sci. Sin. (A),
42(1999), 600--604.
34.Harnack
inequalities for log-Sobolev functions and estimates of log-Sobolev constant,
Ann. of Probability, 27:2(1999), 653--663.
35.Existence
of the spectral gap for elliptic operators, Arkiv för Math. 37:3(1999),
395--407.
36.Functional
inequalities for empty essential spectrum, J. Funct. Anal. 170(2000), 219--245.
37.Cheeger's
inequalities for general symmetric forms and existence criterion for spectral
gap, Ann. of Probab. 28(2000), 235--257. With M.F.Chen
38.Functional
inequalities, semigroup properties and spectrum estimates, Infinite Dimensional
Analysis, Quantum Probability and Related Topics 3:2(2000), 263--295.
39.Equivalence
of coupling and shift-coupling, Ann. of Probab. 28(2000),1666--1679. With M.
Cranston
40.Sobolev
type inequalities for general symmetric forms, Proceedings of AMS, 128(2000),
3675--3682.
41.Estimates
of Dirichlet spectral gap,Archiv der Math. 75(2000), 450--455.
<A.D. 2001--A.D. 2002>
42.Logarithmic
Sobolev inequalities: conditions and counterexamples, J.Operator Theory. 46(2001),183--197.
43.Elliptic
equations for invariant measures on Riemannian manifolds: existence and regularity
of solutions, C.R. Acad. Sci. Paris 332(2001), 333--338. With V.I. Bogachev
and M. Röckner
44.Heat
kernel estimates with applications to compactness of manifolds, Quart
J. Math. 52(2001), 1--10. With F. Z. Gong
45.Elliptic
equations for invariant measures on finite and infinite dimensional manifolds,J.
Math. Pure Appl. 80(2001),177--221. With V. I. Bogachev, M. Röckner
46.Weak
Poincaré inequalities and convergence rates of Markov semigroups,J. Funct. Anal.
185(2001), 564--603. With M.Röckner
47.Functional
inequalities for uniformly integrable semigroups and application to essential
spectrum,Forum Math. 14(2002), 293--313. With F.Z. Gong
48.Coupling,
convergence rate of Markov processes and weak Poincaré inequalities,Science
in China (A), 45:8(2002), 975--983.
49.Liouville
theorem and coupling on negatively curved Riemannian manifolds,Stoch. Proc.
Appl. 100(2002), 27--39.
50.Functional
inequalities and spectrum estimates: the infinite measure case,to appear in
J. Funct. Anal. 2002.
51.Transportation cost inequalities
on path spaces over Riemannian manifolds, Illinois J. Math. 46 (2002), 1197-1206.
<A.D. 2003-- >
52.Functional
inequalities for the decay of sub-Markov semigroups,Potential Analysis, 18(2003),1--23.
53.Supercontractivity
and ultracontractivity for (non-symmetric) diffusion semigroups on manifolds,Forum
Math. 15 (2003), 893-921. With M. Rockner
54.Functional inequalities
and applications, Chinese Adv. Math. 32 (2003), 513--528.
55.On compactness of manifolds,
with Xue-Mei Li, Infinit. Dimens. Anal. Quant. Probab. Related Top 6: suppl.
(2003), 29--38.
56.Harnack and functional inequalities
for generalized Mehler semigroups, with Michael Roeckner, J. Funct. Anal. 203
(2003), 197--234.
57.Probability
distance inequalities on Riemannian manifolds and path spaces,J. Funct. Anal.
206 (2004), 167-190.
58.Derivative
estimates of semigroups and Riesz transformations on vector
bundles,Potential Analysis 20 (2004), 105-123. With A. Thalmaier
59.Spectrum for a class of
(nonsymmetric) diffusion operators (with M. Rockner), Bull. London Math. Soc.
36 (2004), 95-104.
60.Gradient estimates of Dirichlet
heat semigroups and applications to isoperimetric inequalities, Ann. Probability
32 (2004), 424--440.
61.Spectral gap for hyperbounded
operators, Proc. AMS. 132:9 (2004), 2629--2638.
62.Functional inequalities
on abstract hilbert spaces and applications , Math. Zeit. 246 (2004), 359-371.
63.On gromov's theorem and $L^2$-Hodge
decomposition, (With F.-Z. Gong),Internat. J. Math. Math. Sci. 2004:1 (2004),
25--44.
64.Weak Poincar\'e inequalities on path
spaces, Research Notices 2004:2 (2004), 89--108.
65.Equivalence of dimension-free Harnack
inequality and curvature condition, Integral Equat. Operator Theory 48 (2004),
547--552.
66. L^1-convergence
and hypercontractivity of diffusion semigroups on manifolds, Studia Math. 162
(2004), 219--227.
67. Invariance implies Gibbsian: some
new results, Comm. Math. Phys. 248 (2004), 335--355. (With V.I. Bogachev and
M. Rockner)
68.Essential spectrum on Riemannian
manifolds,with K. D. Elworthy, in Stochastic Analysis and Related Topic (S.
Albererio, Z.-M. Ma,M. Rockner, eds),2004, World Scientific, Singapore, 151--165.
69.A character of the gradient estimate
of diffusion semigroups, Proc. Amer. Math. Soc., 133 (2005), 827--834.
70.A generalization of Poincar\'e and
log-Sobolev inequalities, Potential Analysis, 22 (2005), 1--15.
71.Weak Poincar\'e inequalities, decay
of Markov semigroups and concentration of measures, Act. Math. Sin. (Engl. Ser.),
21 (2005), 937--942.
72.Functional inequalities on arbitrary
Riemannian manifolds, J. Math. Ana. Appl., 300 (2004), 426--435.
73.Analysis on free Riemannian path spaces,
with S. Fang, Bull. Sci. Math.,129 (2005), 339--355.
74.Strong solutions of Generalized
porous media equations: existence, uniqueness and ergodicity, with G. Da Prato,
M. Rockner and B. L. Rozovskii, to appear in Comm. Part. Diff. Equ.
75.Gradient estimates and the first
Neumann eigenvalue on non-convex manifolds, Stochastic Processes and Applications,
115 (2005), 1475--1486.
76.The stochastic order and critical
phenomena for superprocesses, accepted for publication in Infinite Dimensional
Analysis, Quantum Probability and Related Topics, 9(2006), 1--22.
77.Functional inequalities for particle
systems on Polish spaces, with M. Röckner,
Potential Analysis, 24(2006), 223--243.
78.Harnack inequality and heat
kernel estimate on manifolds with curvature unbounded below, with M. Arnaudon
and A. Thalmaier, Bull. Sci. Math., 130(2006), 223--233.
79.Gradient estimates for diffusion
semigroups with singular coefficients, with E. Priola, J. Funct. Anal., 236(2006),
244--264.
80.Dimension-free Harnack inequality
and its applications, Frontiers of Math. in China, 1(2006), 53--72.
81.A Harnack-Type Inequality for
Non-Symmetric Markov Semigroups, J. Funct. Anal. 239(2006), 297--309.
82.An Optimal Integrability Condition
for the Log-Sobolev Inequality, Quart. J. Math. 2006, 1-6.
83.Estimates of the First Neumann
Eigenvalue and the Log-Sobolev Constant on Non-Convex Manifolds, to appear in
Math. Nach.
84.Ito Type Measure-Valued Stochastic
Differential Equations,J. Math. Anal. Appl. 329(2007),1102-1117.
85.Large Deviations for Stochastic Generalized
Porous Media Equations (with M. Rockner and L. Wu), Stoch. Proc. Appl. 116(2006),
1677-1689.
86.Generalized Transportation-Cost Inequalities
and Applications, to appear in Potential Analysis
87.Harnack Inequality and Applications
for Stochastic Generalized Porous Media Equations, to appear in Annals of Probab.
88.Sharp Estimates for Intrinsic Ultracontractivity
on $C^{1,\alpha}$-Domains (with E. M. Ouhabaz), Manuscript Math. 112(2007),
229-244.
89.Orlicz-Poincar\'e Inequalities, to
appear in Proc. Edinburgh Math. Soc.
90.Perturbations of Functional Inequalities
Using Growth Conditions (with D. Bakry and M. Ledoux), J. Math. Pures Appl.
87(2007), 394-407.
91.Stochastic generalized porous media
and fast-diffusion equations (with M. Rockner and J. Ren), J. Diff. Equations,
to appear.
92.Entropy-cost inequalities for diffusion
semigroups with curvature unbounded below, Proc. AMS. to appear.