The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

TITLE HERE
Burago, Dmitri; Burago, Yuri; Ivanov, Sergei. A course in metric geometry. Graduate Studies in Mathematics, 33. American Mathematical Society, Providence, RI, 2001. xiv+415 pp. ISBN: 0-8218-2129-6 MR1835418 (2002e:53053)

Billingsley, Patrick. Convergence of probability measures. John Wiley & Sons, Inc., New York-London-Sydney 1968 xii+253 pp. MR0233396 (38 #1718)

Blum, Gilles. A note on the central limit theorem for geodesic random walks. Bull. Austral. Math. Soc. 30 (1984), no. 2, 169--173. MR0759783 (86a:60106)

Chen, Jingyi; Hsu, Elton P. Gradient estimates for harmonic functions on manifolds with Lipschitz metrics. Canad. J. Math. 50 (1998), no. 6, 1163--1175. MR1657771 (99m:53065)

Cranston, Michael; Kendall, Wilfrid S.; March, Peter. The radial part of Brownian motion. II. Its life and times on the cut locus. Probab. Theory Related Fields 96 (1993), no. 3, 353--368. MR1231929 (94g:60154)

Cranston, Michael. Gradient estimates on manifolds using coupling. Journal of Functional Analysis 99 (1991), no. 1, 110-124. MR1120916 (93a:58175) 

      		
    

    

      Durrett, Richard. Stochastic
calculus.
A practical introduction.
Probability and Stochastics Series. CRC Press, Boca Raton, FL,
1996. x+341 pp. ISBN: 0-8493-8071-5 MR1398879
      (97k:60148)
      

      		
    

    

      Ethier, Stewart N.; Kurtz,
Thomas G. Markov processes.
Characterization and convergence.
Wiley Series in Probability and Mathematical Statistics: Probability
and Mathematical Statistics. John Wiley & Sons, Inc., New York,
1986. x+534 pp. ISBN: 0-471-08186-8 MR0838085
      (88a:60130)
      

      		
    

    

      Jørgensen, Erik. The
central limit problem for geodesic random walks. Z.
Wahrscheinlichkeitstheorie und Verw. Gebiete  32 
(1975), 1--64. MR0400422
      (53 #4256)
      

      		
    

    

      Jacod, Jean; Shiryaev,
Albert N. Limit theorems for stochastic processes.
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles
of Mathematical Sciences], 288. Springer-Verlag, Berlin,
1987. xviii+601 pp. ISBN: 3-540-17882-1 MR0959133
      (89k:60044)
      

      		
    

    

      Kendall, Wilfrid S. Nonnegative
Ricci curvature and the Brownian coupling property. Stochastics
       19  (1986), no. 1-2, 111--129. MR0864339
      (88e:60092)
      

      		
    

    

      Le, Hui Ling; Barden,
Dennis. Itô correction terms for the radial parts of
semimartingales on manifolds. Probab. Theory Related Fields 
101  (1995), no. 1, 133--146. MR1314177
      (96a:58211)
      

      		
    

    

      Mosco, Umberto. Composite media
and asymptotic Dirichlet forms. J. Funct. Anal.  123
       (1994), no. 2, 368--421. MR1283033
      (95d:47088)
      

      		
    

    

      Malliavin, Paul; Stroock,
Daniel W. Short time behavior of the heat kernel and its
logarithmic derivatives. J. Differential Geom.  44 
(1996), no. 3, 550--570. MR1431005
      (98c:58164)
      

      		
    

    

      Petrunin, A. Parallel
transportation for Alexandrov space with curvature bounded below. Geom.
Funct. Anal.  8  (1998), no. 1, 123--148. MR1601854
      (98j:53048)
      

      		
    

    

      Stroock, Daniel W.; Varadhan,
S. R. Srinivasa. Multidimensional diffusion processes.
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles
of Mathematical Sciences], 233. Springer-Verlag, Berlin-New York,
1979. xii+338 pp. ISBN: 3-540-90353-4 MR0532498
      (81f:60108)
      

      		
    

    

      v. Renesse, Max-K. Comparison
properties of diffusion semigroups on spaces with lower curvature
bounds.
Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn,
Bonn, 2001.
Bonner Mathematische Schriften [Bonn Mathematical Publications], 355. Universität
Bonn, Mathematisches Institut, Bonn, 2003. ii+90 pp. MR2013040
      (2004g:58050)
      

      		
    

    

      Wang, Feng Yu. Successful
couplings of nondegenerate diffusion processes on compact manifolds.
(Chinese) Acta Math. Sinica  37  (1994),
no. 1, 116--121. MR1272513
      (95d:58145)
      

      		
    

    

      Yau, Shing Tung. Harmonic
functions on complete Riemannian manifolds. Comm. Pure Appl. Math.
       28  (1975), 201--228. MR0431040
      (55 #4042)
      

      		
    

  







        





						
		
		

			
					Bookmark and Share
			
			
		

	




		
			Creative Commons License
		
		

		This work is licensed under a Creative Commons Attribution 3.0  License.