Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Majer, Pietro"'
Autor:
Banakh, Taras, Majer, Pietro
A $graph$ $metric$ on a set $X$ is any function $d: E_d \to\mathbb R_+:=\{x\in\mathbb R:x>0\}$ defined on a connected graph $ E_d \subseteq[X]^2:=\{A\subseteq X:|A|=2\}$ and such that for every $\{x,y\}\in E_d$ we have $d(\{x,y\})\le\hat d(x,y):=\inf
Externí odkaz:
http://arxiv.org/abs/2306.12162
Publikováno v:
J. Stat. Phys. 191:63 (2024)
We consider general classes of gradient models on regular trees with values in a countable Abelian group $S$ such as $\mathbb{Z}$ or $\mathbb{Z}_q$, in regimes of strong coupling (or low temperature). This includes unbounded spin models like the p-SO
Externí odkaz:
http://arxiv.org/abs/2302.05398
Autor:
Abbondandolo, Alberto, Majer, Pietro
We prove that a Morse-Smale gradient-like flow on a closed manifold has a "system of compatible invariant stable foliations" that is analogous to the object introduced by Palis and Smale in their proof of the structural stability of Morse-Smale diffe
Externí odkaz:
http://arxiv.org/abs/2003.07134
Akademický článek
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Autor:
Abbondandolo, Alberto, Majer, Pietro
Publikováno v:
Calculus of Variations and Partial Differential Equations 54 (2015), 1469-1506
We prove that the non-squeezing theorem of Gromov holds for symplectomorphisms on an infinite-dimensional symplectic Hilbert space, under the assumption that the image of the ball is convex. The proof is based on the construction by duality methods o
Externí odkaz:
http://arxiv.org/abs/1405.3200
Akademický článek
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Autor:
Abbondandolo, Alberto, Arosio, Leandro, Fornæss, John Erik, Majer, Pietro, Peters, Han, Raissy, Jasmin, Vivas, Liz
Consider a holomorphic automorphism which acts hyperbolically on some invariant compact set. Then for every point in the compact set there exists a stable manifold, which is a complex manifold diffeomorphic to real Euclidean space. If the point is fi
Externí odkaz:
http://arxiv.org/abs/1311.3835
Autor:
Abbondandolo, Alberto, Majer, Pietro
Publikováno v:
Int. Math. Res. Notices vol. 2014 (2014), 4001-4048
We prove that the stable manifold of every point in a compact hyperbolic invariant set of a holomorphic automorphism of a complex manifold is biholomorphic to a complex vector space, provided that a bunching condition, which is weaker than the classi
Externí odkaz:
http://arxiv.org/abs/1111.5197
Publikováno v:
J. Reine Angew. Math. 690 (2014), 217-247
We give a sufficient condition for the abstract basin of attraction of a sequence of holomorphic self-maps of balls in \mathbb{C}^{d} to be biholomorphic to \mathbb{C}^{d}. As a consequence, we get a sufficient condition for the stable manifold of a
Externí odkaz:
http://arxiv.org/abs/1104.4561
Autor:
Majer, Pietro, Novaga, Matteo
We determine the probability thresholds for the existence of monotone paths, of finite and infinite length, in random oriented graphs with vertex set $\mathbb N^{[k]}$, the set of all increasing $k$-tuples in $\mathbb N$. These graphs appear as line
Externí odkaz:
http://arxiv.org/abs/0906.1689