Print Email Facebook Twitter Hydrodynamic Limit for the Symmetric Inclusion Process Title Hydrodynamic Limit for the Symmetric Inclusion Process Author Ayala-Valenzuela, M.A. Contributor Redig, F.H.J. (mentor) Faculty Electrical Engineering, Mathematics and Computer Science Department DIAM Date 2016-08-23 Abstract This thesis deals with the proof of the hydrodynamic limit for the symmetric inclusion process (SIP). After introduction of our process and some basic concepts on the theory of Markov processes we proved self-duality for the SIP. Once equipped with SIP self-duality, and together with an assumption on the initial configuration, we were able to prove that the evolution, on the diffusive scale, of the empirical density of the symmetric inclusion processes in $\mathbb{Z}^{d}$ is described by a weak solution of the heat equation. Subject Hydrodynamic limitsInteracting Particle SystemsSymmetric Inclusion Process To reference this document use: http://resolver.tudelft.nl/uuid:51828825-d26d-47e6-b760-6f14f2ba2f7b Part of collection Student theses Document type master thesis Rights (c) 2016 Ayala-Valenzuela, M.A. Files PDF MasterThesisM.A.AyalaValenzuela.pdf 511.22 KB Close viewer /islandora/object/uuid:51828825-d26d-47e6-b760-6f14f2ba2f7b/datastream/OBJ/view