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Mastodon @vtucek@mathstodon.xyz

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Followers

Account age

3 yrs

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Known for

2 views https://minily.org/5m1YwldYxH

1 views Moishe Kohan on Jacobian conjecture. Math Stackexchange, 2017

📊 Post engagement

Avg engagement / post

2.5%

Engagement vs followers

Nov 2022

On Mastodon since

🔥 Top post: Complex Grassmannians in the wild There is a fun approach to wir · 3 likes + reposts

📊 Activity & format

Posting cadence

0.06 / week

A lower-frequency account — each post lands with more weight.

Content mix

Mostly text

Recent: 10 text · 2 image · 0 video.

Follower / following

0.6×

Follows 127 back. A more reciprocal / networked account.

Recent posts

View on Mastodon ↗

🔥 Top post Complex Grassmannians in the wild There is a fun approach to wirelesss communication based on Grassmann manifolds over the field of complex numbers. It's an idea about 20 years old and easy to explain. Here is how it goes: 1/𝑛 ★ 3

Moishe Kohan on Jacobian conjecture. Math Stackexchange, 2017 ★ 1

https://minily.org/5m1YwldYxH ★ 2 - Another way to get big codebooks admitting easy decoding is considering finite group orbits. WIP. Related concepts: fundamental domain, Clifford-Klein form and other fun stuff. One thing on my todo list is to try to look into arithmetic … Cool. So you pick your codebook based on maximal minimum pairwise distance criterion? - That's how it was traditionally done. Kind of like the sphere packing problem. But it turns out that a better cost function is given by determinants. N… Hang on! Nearest neighbor? With what kind of distance? - Turns out that if we represent with matrices whose rows are ON basis of the subspaces, then the maximum likelihood detector is equivalent to the nearest neighbor in the so called cho… So instead of encoding our data into vectors we can encode them as points on the Grassmannian and we don't have to know \( H \) at all! How do we decode? - We fix a finite set of points as our codebook, assume that \(H\) is iid Gaussian (s… So at time slot \(i\) we send vector \(x_i\) and receive vector \(y_i\) with so that \( y_i = x_i H + z_i\). We can stack these vectors together and write these \(T\) equations as one matrix equation \[Y = XH + Z\] where \(X\) has \(x_i\)… So that's fine for, say, \(M = N = 2\) but terrible for \( M = N = 32\). Moreover, this matrix enters the decoding algorithms and there every bit of latency matters. Is there other way to do this? The answer is so called "block fading" whi… Turns out that adding more antennas has nice benefits that have to do with the fact that the high dimensional normal random vectors tend to concentrate on the sphere. But there is a problem! The receiving party has to decode \(x\) from \( … The simplest function is linear \( y = Hx \) but we have to account for some (white additive Gaussian) noise. Hence our basic relationship between transmitted signal and received signal is 𝑦=𝐻𝑥+𝑍 where \( Z\) is iid complex Gaussian ra… You have \( M \) antennas at the transmitting side and \( N \) antennas at the receiving side. The \(i\)th transmitting antenna sends an EM wave \( x_i \) and the receiving party gets \( y_j \) on its \(j\)th antenna. Since the EM wave c…

🐘 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 — 3 years ago.

👁️Averages 2 views per post.

📤Posts about 0.1× per week.

🕵️ Fake follower check

Estimated

66/100

Good Credibility score

89%

Real Real audience

Low Fake-follower risk

High Data confidence

Est. 89% real, active audience · Low fake-follower risk.
Engagement (~2.5% of followers engage each post) is around typical for Mastodon.
Established account (3+ years old).

Heuristic estimate from engagement, follower ratios, account age & growth — a screening signal, not a guarantee.

About

representation theory, differential geometry, machine learning, python... formerly at https://twitter.com/vit_tucek occasionally still active at https://mathoverflow.net/users/6818/v%c3%adt-tu%c4%8dek

🔀 Audience overlap

Estimated

Estimated shared audience with similar creators — useful for avoiding overlap (or doubling down) when planning a campaign.

xale 18%

RebootDeluxe 17%

keinponny 17%

Swinders 17%

Duncan 16%

asnev :flag_asexual::flag_agender: 12%

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Swinders ✓

@swinders@mastodon.cloud

asnev :flag_asexual::flag_agender: ✓

@asnev@tech.lgbt

79 Followers

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📊 Post engagement

📊 Activity & format

Recent posts

🐘 Community & instance

💡 Facts

🕵️ Fake follower check

About

🔀 Audience overlap

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