AbstractTwo-dimensional (2d) topological phases are characterized by a unitary modular tensor category(UMTC) along with the chiral central charge c_. For non-chiral topological phases, where c.vanishes, the topological phase is fully described by a UMTC. There are two prominent classes oflattice models that realize 2d non-chiral topological phases: (i) Kitaevs quantum double models and(il) Levi...
AbstractMcKean-Vlasov quation describes heat diffusion in porous media and is the limit of propagation of chaos of system of interacting particle systems of mean field with a great number N of particles, known in 80s. Carrillo-McCann-Villani(03) renewed the subject by regarding MV equation as the gradient flow of the entropy functional on the space of probability measures w.r.t. the Otto- Villa...
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