11 citations · 16 across the 2 of their papers we have counts for
4 papers
Exponentials form a basis of discrete holomorphic functions
Christian Mercat
We show that discrete exponentials form a basis of discrete holomorphic functions. On a convex, the discrete polynomials form a basis as well.
Discrete Polynomials and Discrete Holomorphic Approximation
Christian Mercat
We use discrete holomorphic polynomials to prove that, given a refining sequence of critical maps of a Riemann surface, any holomorphic function can be approximated by a converging…
Discrete period matrices and related topics
Christian Mercat
We continue our investigation of Discrete Riemann Surfaces with the discussion of the discrete analogs of period matrices, Riemann's bilinear relations, exponential of constant arg…
Integrable Boundaries and Universal TBA Functional Equations
C. H. Otto Chui, Christian Mercat, Paul A. Pearce
We derive the fusion hierarchy of functional equations for critical A-D-E lattice models related to, the sl(2) unitary minimal models, the parafermionic models and the supersymmetr…