Ángel Arroyo

NEW WEBPAGE: http://blogs.mat.ucm.es/arroyo/

  • 2021-currently: Assistant professor, Departamento de Análisis Matemático y Matemática Aplicada, Universidad Complutense de Madrid (Spain).

  • 2020-2021: Assistant professor, Departamento de Matemáticas, Universidad Carlos III de Madrid (Spain).

  • 2019-2020: Postdoc researcher, Dipartimento di Matematica, Università degli Studi di Genova (Italy).

  • 2017-2019: Postdoc researcher, Department of Mathematics and Statistics, Jyväskylän Yliopisto (Finland).

  • 2013-2017: Phd student researcher, Departament de Matemàtiques, Universitat Autònoma de Barcelona (Spain).

Papers & Preprints

  1. Local regularity estimates for general discrete dynamic programming equations (with P. Blanc and M. Parviainen).

  2. Inverse problems on low-dimensional manifolds (with G. S. Alberti and M. Santacesaria). Preprint.

  3. Hölder regularity for stochastic processes with bounded and measurable increments (with P. Blanc and M. Parviainen). Submitted to Ann. Inst. H. Poincaré Anal. Non Linéaire. Preprint.

  4. p-harmonic functions by way of intrinsic mean value properties (with J. G. Llorente). To appear in Adv. Calc. Var. Preprint.

  5. Asymptotic Hölder regularity for the ellipsoid process (with M. Parviainen). ESAIM Control Optim. Calc. Var. 26, Paper No. 112, 31 pp (2020). Preprint.

  6. Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities (with H. Luiro, M. Parviainen and E. Ruosteenoja). Potential Anal. 53 (2), pp. 565–589 (2020). Preprint.

  7. On a class of singular measures satisfying a strong annular decay condition (with J. G. Llorente). Proc. Amer. Math. Soc. 147 (10), pp. 4409-4423 (2019). Preprint.

  8. A priori Hölder and Lipschitz regularity for generalized p-harmonious functions in metric measure spaces (with J. G. Llorente). Nonlinear Anal. 168, pp. 32–49 (2018). Preprint.

  9. Tug-of-war games with varying probabilities and the normalized p(x)-Laplacian (with J. Heino and M. Parviainen). Commun. Pure Appl. Anal. 16 (3), pp. 915–944 (2017). Preprint.

  10. On the asymptotic mean value property for planar p-harmonic functions (with J. G. Llorente). Proc. Amer. Math. Soc. 144 (9), pp. 3859–3868 (2016). Preprint.

  11. On the Dirichlet Problem for solutions of a restricted nonlinear mean value property (with J. G. Llorente). Differential Integral Equations 29 (1-2), pp. 151–166 (2016). Preprint.