4 papers
Tropical and algebraic elliptic plane curves with fixed j-invariant
Alessio Cela, Sae Koyama
We tropically enumerate planar well-spaced elliptic curves with a fixed -invariant. Combined with the recent genus 1 correspondence theorem of Cela--Koyama, this yields an alter…
Scaling limit of additive functionals for reversible non-gradient exclusion process: critical cases
Chenlin Gu, Linzhi Yang, Linjie Zhao
For the reversible speed-change exclusion process in , we study the scaling limit of additive functionals ${Î_t(f) = \int_0^t f(η_s)\, \mathrm{d…
Quantitative stochastic homogenization for long-range random walks with critical jump index
Xin Chen, Chenlin Gu, Jian Wang
In this paper, we study the stochastic homogenization for a class of symmetric random walks in random conductance model, whose one-step transition probability from to is pr…
Quantitative homogenization and hydrodynamic limit of non-gradient exclusion process
Tadahisa Funaki, Chenlin Gu, Han Wang
For the non-gradient exclusion process, we prove the quantitative homogenization of the diffusion matrix and the conductivity by local functions. The proof relies on the renormaliz…