My area of research is dynamical systems. Specifically I work in smooth ergodic theory, nonuniform hyperbolicity, and thermodynamic formalism. My research is predominantly on thermodynamics of nonuniformly hyperbolic surface diffeomorphisms, such as almost- and pseudo-Anosov diffeomorphisms. I have also worked in the past on discrete fractional calculus and fractional difference equations.
For a detailed description of my area of research, please see my research statement.
D. Veconi. Thermodynamics of pseudo-Anosov diffeomorphisms. Preprint.
D. Veconi. Equilibrium states of almost Anosov diffeomorphisms. Discrete and Continuous Dynamical Systems, 40, No 2 (2020).
K. Ahrendt, L. DeWolf, L. Masurowski, K. Mitchell, T. Rolling, D. Veconi. Initial and boundary value problems for the Caputo fractional self-adjoint difference equation. Enlightenment of Pure and Applied Mathematics, 2, No. 1 (2016)