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References

  • Bass, Richard F. Diffusions and elliptic operators. Probability and its Applications (New York). Springer-Verlag, New York, 1998. xiv+232 pp. ISBN: 0-387-98315-5 MR1483890
  • Ben-Ari, Iddo; Pinsky, Ross G. Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure. J. Funct. Anal. 251 (2007), no. 1, 122--140. MR2353702
  • Ben-Ari, Iddo; Pinsky, Ross G. Ergodic behavior of diffusions with random jumps from the boundary. Stochastic Process. Appl. 119 (2009), no. 3, 864--881. MR2499861
  • Grigorescu, Ilie; Kang, Min. Brownian motion on the figure eight. J. Theoret. Probab. 15 (2002), no. 3, 817--844. MR1922448
  • Grigorescu, Ilie; Kang, Min. Ergodic properties of multidimensional Brownian motion with rebirth. Electron. J. Probab. 12 (2007), no. 48, 1299--1322. MR2346513
  • Kolb, Martin; Wübker, Achim. On the spectral gap of Brownian motion with jump boundary. Electron. J. Probab. 16 (2011), no. 43, 1214--1237. MR2827456
  • Kolb, Martin; Wübker, Achim. Spectral analysis of diffusions with jump boundary. J. Funct. Anal. 261 (2011), no. 7, 1992--2012. MR2822321
  • Leung, Yuk J.; Li, Wenbo V.; Rakesh. Spectral analysis of Brownian motion with jump boundary. Proc. Amer. Math. Soc. 136 (2008), no. 12, 4427--4436. MR2431059
  • Peng, Jun; Li, WenBo V. Diffusions with holding and jumping boundary. Sci. China Math. 56 (2013), no. 1, 161--176. MR3016590
  • Pinsky, Ross G. Positive harmonic functions and diffusion. Cambridge Studies in Advanced Mathematics, 45. Cambridge University Press, Cambridge, 1995. xvi+474 pp. ISBN: 0-521-47014-5 MR1326606
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