Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Saracco, Alberto"'
We construct automorphisms of $\mathbb{C}^2$ with a cycle of escaping Fatou components, on which there are exactly two limit functions, both of rank 1. On each such Fatou component, the limit sets for these limit functions are two disjoint hyperbolic
Externí odkaz:
http://arxiv.org/abs/2308.05529
Autor:
Mucci, Domenico, Saracco, Alberto
A weak notion of elastic energy for (not necessarily regular) rectifiable curves in any space dimension is proposed. Our $p$-energy is defined through a relaxation process, where a suitable $p$-rotation of inscribed polygonals is adopted. The discret
Externí odkaz:
http://arxiv.org/abs/2212.14380
Autor:
Saracco, Alberto
"Is math useful?" might sound as a trick question. And it is. Of course math is useful, we live in a data-filled world and every aspect of life is totally entwined with math applications, both trivial and subtle applications, of both basic and advanc
Externí odkaz:
http://arxiv.org/abs/2105.03843
Autor:
Mucci, Domenico, Saracco, Alberto
The geodesic total curvature of rectifiable spherical curves is analyzed. We extend to the case of high dimension spheres the explicit formula that holds true for curves supported into the 2-sphere. For this purpose, we take advantage of some new int
Externí odkaz:
http://arxiv.org/abs/2105.03840
We construct automorphisms of $\mathbb{C}^2$, and more precisely transcendental H\'enon maps, with an invariant escaping Fatou component which has exactly two distinct limit functions, both of (generic) rank 1. We also prove a general growth lemma fo
Externí odkaz:
http://arxiv.org/abs/2011.02756
Autor:
Mucci, Domenico, Saracco, Alberto
We deal with a robust notion of weak normals for a wide class of irregular curves defined in Euclidean spaces of high dimension. Concerning polygonal curves, the discrete normals are built up through a Gram-Schmidt procedure applied to consecutive or
Externí odkaz:
http://arxiv.org/abs/2008.02336
In this paper we introduce, via a Phragmen-Lindel\"of type theorem, a maximal plurisubharmonic function in a strongly pseudoconvex domain. We call such a function the {\sl pluricomplex Poisson kernel} because it shares many properties with the classi
Externí odkaz:
http://arxiv.org/abs/2007.06270
Autor:
Saracco, Alberto
Citations are getting more and more important in the career of a researcher. But how to use them in the best possible way? This is a satirical paper, showing a bad trend currently happening in citation trends, due to intensive use of citation metrics
Externí odkaz:
http://arxiv.org/abs/2002.09371
Autor:
Mucci, Domenico, Saracco, Alberto
We deal with irregular curves contained in smooth, closed, and compact surfaces. For curves with finite total intrinsic curvature, a weak notion of parallel transport of tangent vector fields is well-defined in the Sobolev setting. Also, the angle of
Externí odkaz:
http://arxiv.org/abs/1906.10567
Autor:
Mucci, Domenico, Saracco, Alberto
We deal with a notion of weak binormal and weak principal normal for non-smooth curves of the Euclidean space with finite total curvature and total absolute torsion. By means of piecewise linear methods, we first introduce the analogous notation for
Externí odkaz:
http://arxiv.org/abs/1901.03076