Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket

Author:

Chen Joe P.ORCID,Gonçalves Patrícia

Funder

Division of Mathematical Sciences

Simons Foundation

Colgate University

Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa

European Research Council

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Mathematical Physics

Reference38 articles.

1. Baldasso, R., Menezes, O., Neumann, A., Souza, R.R.: Exclusion process with slow boundary. J. Stat. Phys. 167(5), 1112–1142 (2017). https://doi.org/10.1007/s10955-017-1763-5

2. Barlow, M.T.: Diffusions on fractals. In: Lectures on Probability Theory and Statistics (Saint-Flour, 1995). Lect. Notes in Math., vol. 1690, pp. 1–121. Springer, Berlin (1998)

3. Barlow, M.T., Perkins, E.A.: Brownian motion on the Sierpiński gasket. Probab. Theory Related Fields 79(4), 543–623 (1988)

4. Bernardin, C., Gonçalves, P., Jiménez-Oviedo, B.: A microscopic model for a one parameter class of fractional Laplacians with Dirichlet boundary conditions. arXiv:1803.00792 (2018)

5. Bernardin, C., Gonçalves, P., Jiménez-Oviedo, B.: Slow to fast infinitely extended reservoirs for the symmetric exclusion process with long jumps. Markov Process. Related Fields 25(2), 217–274 (2019)

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