Discrete complex analysis and conformal invariance in 2D lattice models
Inverse spectral problems.
Main publications:
Chelkak D., Smirnov S., Universality in the 2D Ising model and conformal invariance of fermionic observables, arXiv: 0910.2045
Chelkak D., Smirnov S., Discrete complex analysis on isoradial graphs, arXiv: 0810.2188
Chelkak D., Korotyaev E., “Weyl–Titchmarsh functions of vector-valued Sturm–Liouville operators on the unit interval”, J. Funct. Anal., 257:5 (2009), 1546–1588
Chelkak D., Korotyaev E., “Spectral estimates for Schrödinger operator with periodic matrix potential on the real line”, Int. Math. Res. Not., 2006
\paperid 60314, 41 pp.
Chelkak D., Kargaev P., Korotyaev E., “Inverse problem for harmonic oscillator perturbed by potential, characterization”, Comm. Math. Phys., 249:1 (2004), 133–196
