Research

Journal articles

L. Arosio, F. Bracci, H. Gaussier, A counterexample to parabolic dichotomies in holomorphic iteration, to appear in J. Geom. Anal.
L. Arosio, M. Fiacchi, L. Guerini, A. Karlsson, Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces, to appear in Adv. Math.
L. Arosio, G. Dall’Ara, M. Fiacchi, Worm domains are not Gromov hyperbolic, J. Geom. Anal. 33 (2023), no. 8, 257
L. Arosio, M. Fiacchi, S. Gontard, L. Guerini, The horofunction boundary of a Gromov hyperbolic space, Math. Ann. 388 (2024), no. 2, 1163-1204
L. Arosio, A. M. Benini, J. E. Fornæss, H. Peters, Dynamics of transcendental Hénon maps-II, Math. Ann. 385 (2023), no. 3-4, 975-999
L. Arosio, F. Larusson, Dynamics of generic endomorphisms of Oka-Stein manifolds, Math. Z. 300 (2022), no. 3, 2467–2484
L. Arosio, A. M. Benini, J. E. Fornæss, H. Peters, Dynamics of transcendental Hénon maps-III: infinite entropy, J. Mod. Dyn. 17 (2021), 465–479
A. Altavilla, L. Arosio, L. Guerini, Canonical models on strongly convex domains via the squeezing function, J. Geom. Anal. 31 (2021), no. 5, 4661--4702
L. Arosio, L. Boc Thaler, H. Peters, A transcendental Hénon map with an oscillating wandering short C^2, Math. Z. 299 (2021), no. 1-2, 357–372
L. Arosio, F. Larusson, Generic aspects of holomorphic dynamics on highly flexible complex manifolds , Ann. Mat. Pura Appl. 199 (2020), 1697–1711
L. Arosio, J. E. Fornæss, N. Shcherbina, E. F. Wold, Squeezing functions and Cantor Sets, Ann. Sc. Norm. Super. Pisa Cl. Sci. XXI (2020), no. 5, 1359–1369
L. Arosio, L. Guerini, Backward orbits in the unit ball, Proc. Amer. Math. Soc. 147 (2019), 3947–3954
L. Arosio, E. F. Wold, Totally real embeddings with prescribed polynomial hulls, Indiana U. Math. J. 68 (2019), 629-640
L. Arosio, F. Larusson, Chaotic holomorphic automorphisms of Stein manifolds with the volume density property, J. Geom. Anal. 29, no. 2, 1744–1762
L. Arosio, A. M. Benini, J. E. Fornæss, H. Peters, Dynamics of transcendental Hénon maps, Math. Ann. 373 (2019) no. 1-2, 853–894
L. Arosio, F. Bracci, Simultaneous models for commuting holomorphic self-maps of the ball, Adv. Math. 321 (2017), 486–512
L. Arosio, Canonical models for the forward and backward iteration of holomorphic maps, J. Geom. Anal. 27 (2017), no. 2, 1178–1210
L. Arosio, P. Gumenyuk, Valiron and Abel equations for holomorphic self-maps of the polydisc, Internat. J. Math. 27 (2016), no. 4, 16 pp.
L. Arosio, The stable subset of a univalent self-map, Math. Z. 281 (2015), no. 3-4, 1089–1110
L. Arosio and F. Bracci, Canonical models for holomorphic iteration, Trans. Amer. Math. Soc. 368 (2016), no. 5, 3305–3339
L. Arosio, F. Bracci and E. F. Wold, Embedding univalent functions in filtering Loewner chains in higher dimensions, Proc. Amer. Math. Soc. 143 (2015), no.4, 1627–1634
L. Arosio, F. Bracci and E. F. Wold, Solving the Loewner PDE in complete hyperbolic starlike domains of CN , Adv. Math. 242 (2013), 209–216
L. Arosio, F. Bracci, H. Hamada and G. Kohr, An abstract approach to Loewner chains, J. Anal. Math. 119 (2013), no. 1, 89–114
L. Arosio, Loewner equations on complete hyperbolic domains, J. Math. Anal. Appl., 398 (2013), 609–621
L. Arosio, Basins of attraction in Loewner equations, Ann. Acad. Sci. Fenn. Math., 37 (2012), 563–570
L. Arosio, F. Bracci, Infinitesimal generators and the Loewner equation on complete hyperbolic manifolds, Anal. Math. Phys. 1 (2011), no. 4, 337–350
L. Arosio, Resonances in Loewner equations, Adv. Math. 227 (2011), 1413-1435

Proceedings

L. Arosio, On parabolic dichotomy, Geometric Function Theory in Higher Dimensions, Springer INdAM Series (2017), 31–42
L. Arosio, Abstract basins of attraction, Complex Analysis and Geometry, Springer Proceedings in Mathematics & Statistics 144 (2015), 57–66

Preprints

L. Arosio, F. Larusson, Dynamics of generic automorphisms of Stein manifolds with the density property (arXiv:2303.05002 )