Cardoso, PedroGoncalves, PatriciaJiménez Oviedo, Byron2024-11-252024-11-252023-04https://hdl.handle.net/11056/29625We obtain the hydrodynamic limit of symmetric long-jumps exclusion in Zd (for d ≥ 1), where the jump rate is inversely proportional to a power of the jump’s length with exponent y+1, where y ≥ 2. Moreover, movements between Zd-1 x Z*_ and Zd-1 xN are slowed down by a factor an -B (with a > 0 and B ≥ 0). In the hydrodynamic limit we obtain the heat equation in Rd without boundary conditions or with Neumann boundary conditions, depending on the values of B and y. The (rather restrictive) condition in [7] (for d = 1) about the initial distribution satisfying an entropy bound with respect to a Bernoulli product measure with constant parameter is weakened or completely dropped.engAcceso abiertoAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/EQUATIONMATHEMATICSMATHEMATICAL VALUESHIDRODINAMICAHYDRODYNAMIChttp://purl.org/coar/resource_type/c_650110.48550/arXiv.2304.01152