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Fine mesh limit of the VRJP in dimension one and Bass-Burdzy flow

Autor: Titus Lupu, Christophe Sabot, Pierre Tarrès

Publikováno v: Probability Theory and Related Fields
Probability Theory and Related Fields, Springer Verlag, 2020, 177 (1-2), pp.55-90. ⟨10.1007/s00440-019-00944-y⟩
Probability Theory and Related Fields, Springer Verlag, 2019, pp.1-36. ⟨10.1007/s00440-019-00944-y⟩

We introduce a continuous space limit of the Vertex Reinforced Jump Process (VRJP) in dimension one, which we call Linearly Reinforced Motion (LRM) on $\R$. It is constructed out of a convergent Bass-Burdzy flow. The proof goes through the representa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a006c58f0515b1feee0e860da04f7358
https://hal.archives-ouvertes.fr/hal-01745727v2/document

Pointwise two-scale expansion for parabolic equations with random coefficients

Autor: Yu Gu, Jean-Christophe Mourrat

Publikováno v: Probability Theory and Related Fields
Probability Theory and Related Fields, Springer Verlag, 2016, 166, pp.585-618. ⟨10.1007/s00440-015-0667-z⟩
Probability Theory and Related Fields, 2016, 166, pp.585-618. ⟨10.1007/s00440-015-0667-z⟩

We investigate the first-order correction in the homogenization of linear parabolic equations with random coefficients. In dimension $3$ and higher and for coefficients having a finite range of dependence, we prove a pointwise version of the two-scal

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c839a78cf0659d59454f6892c457ccc5
https://hal-ens-lyon.archives-ouvertes.fr/ensl-01401891/document

Stochastic homogenization of viscous Hamilton–Jacobi equations and applications

Autor: Hung V. Tran, Scott N. Armstrong

Publikováno v: Anal. PDE 7, no. 8 (2014), 1969-2007
Analysis & PDE
Analysis & PDE, Mathematical Sciences Publishers, 2014, 7-8, pp.1969-2007. ⟨10.2140/apde.2014.7.1969⟩

We present stochastic homogenization results for viscous Hamilton-Jacobi equations using a new argument which is based only on the subadditive structure of maximal subsolutions (solutions of the "metric problem"). This permits us to give qualitative

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3db7f8a76af4f4dcbd896023fcbc775
https://projecteuclid.org/euclid.apde/1513731633