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Followers
405
Account age
4 yrs
💰 Suggested sponsorship rate
$40 – $65 / sponsored post
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📊 Post engagement
2
Avg engagement / post
0.5%
Engagement vs followers
Nov 2022
On Mastodon since
🔥 Top post: [14/14]There's much more inside, including a limit theorem for n · 2 likes + reposts
📊 Activity & format
Posting cadence
85.7 / week
A very active account — posts many times a day.
Content mix
Mostly text
Recent: 9 text · 3 image · 0 video.
Follower / following
0.6×
Follows 704 back. A more reciprocal / networked account.
Recent posts
View on Mastodon ↗
[13/14] Moreover, these eigenvalues also have a geometrical interpretation. They are closely related to the eigenvalues of the action of the pseudo-Anosov on a special type of cohomology on the infinite surface: one made of forms that "beh…
[12/14] These eigenvalue exists because, on the good spaces we build, the transfer operator is quasi-compact.
[11/14] Actually, we show that the eigenvalues of the transfer operator corresponds to Maharam distributions, but the larger one is special and gives not only a distribution, but a genuine measure.
[10/14] More precisely, the transfer operator has a complex weight. Morally, the real part of the weight corresponds to the Maharam scaling, while the imaginary part comes from a Fourier decomposition of the functions in the compact surfac…
[9/14] Our first result is that each Maharam measure comes from a spectral object: it is the eigenvector of a transfer operator acting on a suitable space of functions, which behaves well with respect to the dynamics of the pseudo-Anosov.
[8/14] What’s a Maharam measure? It’s a measure that rescales by a strict exponential factor every time you move from one copy of the base surface to an adjacent one.
[7/14] Downstairs on a compact surface, the flow typically preserves only the standard Lebesgue measure (area). But upstairs on these infinite covers? You get a whole continuous family of Maharam measures.
[6/14] We study Z^d covers of compact surfaces, assuming that the compact surface has a pseudo-Anosov that can be lifted to the cover. These hypothesis guarantee a rich dynamic upstairs, which we investigate.
[5/14] If the matrix doing this trick is hyperbolic, meaning that it looks like (λ, 0 // 0 1/λ) for some λ > 1, we say that the transformation is pseudo-Anosov.
[4/14] Because we can represent these surfaces as polygons, we can stretch and skew them using matrices to get new surfaces. Sometimes, with clever cutting and pasting, you end up exactly where you started!
[3/14] On these surfaces, the shortest paths between points are simply straight lines. Their dynamical behavior is well-known, after the work of MANY people (Veech, Masur, Smillie, Zorich, Eskin, Mirzakhani, ...)
[6/14] We study Z^d covers of compact surfaces, assuming that the compact surface has a pseudo-Anosov that can be lifted to the cover. These hypothesis guarantee a rich dynamic upstairs, which we investigate.
[5/14] If the matrix doing this trick is hyperbolic, meaning that it looks like (λ, 0 // 0 1/λ) for some λ > 1, we say that the transformation is pseudo-Anosov.
[4/14] Because we can represent these surfaces as polygons, we can stretch and skew them using matrices to get new surfaces. Sometimes, with clever cutting and pasting, you end up exactly where you started!
[3/14] On these surfaces, the shortest paths between points are simply straight lines. Their dynamical behavior is well-known, after the work of MANY people (Veech, Masur, Smillie, Zorich, Eskin, Mirzakhani, ...)
🐘 Community & instance
Home server
mathstodon.xyz
Their home server on the fediverse — the instance a creator picks signals the community they belong to.
On Mastodon since
Nov 2022
Joined in the Twitter-exodus wave of late 2022 — part of the migration that made Mastodon a real destination.
💡 Facts
🗓️Joined Mastodon in 2022 — 4 years ago.
👁️Averages 2 views per post.
📤Posts about 85.7× per week.
📍Based in Colombia.
🕵️ Fake follower check
Estimated43/100
Fair
Credibility score
73%
Mixed
Real audience
Medium
Fake-follower risk
High
Data confidence
- Est. 73% real, active audience · Medium fake-follower risk.
- Low engagement (~0.5% of followers engage each post) — a sign of an inflated or inactive audience.
- Established account (4+ years old).
Heuristic estimate from engagement, follower ratios, account age & growth — a screening signal, not a guarantee.
About
Tentatively mathematician at Universidad Nacional de Colombia and full time procastinator. Roman borned European.
Toots in EN/ES/IT #fedi22
📸 Gallery
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Mauro Artigiani🍉 has 405 followers on Mastodon.
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