P. Majer

activity

20032026

most citedA Morse complex for infinite dimensional manifolds - Part I

45 citations · 63 across the 14 of their papers we have counts for

collaborators

15 papers

math.CO2026

On the independence number of de Bruijn graphs

Pietro Majer, Matteo Novaga

We derive the asymptotic formula $α (k, q) = λ_{k - 1} q^{k} + o (q^{k})$ , where $α (k, q)$ is the independence number of the de Bruijn graph $B (k, q)$ , and $λ_{k - 1}$ is a constant arising from a v…

math.CO2023

Game extensions of floppy graph metrics

Taras Banakh, Pietro Majer

A $g r a p h$ $m e t r i c$ on a set $X$ is any function $d : E_{d} \to R_{+} := {x \in R : x > 0}$ defined on a connected graph $E_{d} \subseteq [X]^{2} := {A \subseteq X : ∣ A ∣ = 2}$ and such t…

math.PR2023★ 4 cited

Infinite-volume states with irreducible localization sets for gradient models on trees

Alberto Abbondandolo, Florian Henning, Christof Kuelske +1

We consider general classes of gradient models on regular trees with values in a countable Abelian group $S$ such as $Z$ or $Z_{q}$ , in regimes of strong coupling (…

math.DS2020

Stable foliations and CW-structure induced by a Morse-Smale gradient-like flow

Alberto Abbondandolo, Pietro Majer

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…

math.SG2014

A non-squeezing theorem for convex symplectic images of the Hilbert ball

Alberto Abbondandolo, Pietro Majer

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…

math.CV2013★ 6 cited

A survey on non-autonomous basins in several complex variables

Alberto Abbondandolo, Leandro Arosio, John Erik Fornæss +4

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 comp…