One-point reflection

  title={One-point reflection},
  author={Z. Chena and Masatoshi Fukushimab},
We examine symmetric extensions of symmetric Markov processes with one boundary point. Relationship among various normalizations of local times, entrance laws and excursion laws is studied. Dirichlet form characterization of elastic one-point reflection of symmetric Markov processes is derived. We give a direct construction of Walsh’s Brownian motion as a one-point reflection together with its Dirichlet form characterization. This yields directly the analytic characterization of harmonic and… CONTINUE READING

From This Paper

Topics from this paper.


Publications citing this paper.


Publications referenced by this paper.

On Walsh’s Brownian motion

  • M. T. Barlow, J. W. Pitman, M. Yor
  • in: Seminaire de Probabilités, 23, in: Lecture…
  • 1989
Highly Influential
5 Excerpts

The Laplacian-b random walk and the Schramm–Loewner evolution

  • G. F. Lawler
  • Illinois J. Math. 50
  • 2006
Highly Influential
5 Excerpts

Exit systems

  • B. Maisonneuve
  • Ann. Probab. 3
  • 1975
Highly Influential
3 Excerpts

Traps for reflecting Brownian motion

  • K. Burdzy, Z.-Q. Chen, D. Marshall
  • Math. Z. 252
  • 2006
Highly Influential
3 Excerpts

Processus de Poisson ponctuals

  • P. A. Meyer
  • d’aprés K. Itô, in: Séminaire de Prob., Vol. V…
  • 1971
Highly Influential
2 Excerpts

Entrance law , exit system and Levy system of time - changed processes

  • M. Fukushima Chen, J. Ying
  • Trans . Amer . Math . Soc .
  • 2015

Extensions of diffusion processes on intervals and Feller’s boundary conditions

  • K. Yano
  • Osaka J. Math. 51
  • 2014

Harmonic functions on Walsh’s Brownian motion

  • P. J. Fitzsimmons, K. E. Kuter
  • Stochastic Process. Appl. 124
  • 2014
3 Excerpts

Similar Papers

Loading similar papers…