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Posts by Random Structures

…and if you watch one thing this Pi Day, make it our team member Marcus introducing his research in tiling enumeration

👇👇👇 🇬🇧🇬🇧🇬🇧👇👇👇

#tilingenumeration #combinatorics #mathematics #piday

1 month ago 1 0 0 0

@univie.ac.at spoke to our team lead Nathanaël about phase transitions.

If you read one thing this Pi Day - this is it 👇

#piday #mathematics #randomness #randomstructures #phasetransitions

1 month ago 1 0 0 0

@univie.ac.at

1 month ago 0 0 0 0
a cup on the floor with glittering stars falling out of it aand the words final call for richard rado prize nominations

a cup on the floor with glittering stars falling out of it aand the words final call for richard rado prize nominations

Richard Rado Prize - Submit your nominations NOW!

You're a dissertation supervisor + your student:
1️⃣ Has a PhD/nationality from a German-speaking area
2️⃣ Their dissertation in discrete maths was completed in '24/'25

Nominate them!
🚨Deadline: 22nd March, 2026

Details 👉 tinyurl.com/mscuvc78

#prize

1 month ago 0 0 1 0
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Inspire the next generation of female scientists!💡
For the Int’l Day of Women and Girls in Science,
@univie.ac.at is offering an opportunity to meet mathematicians up close.

𝗗𝗲𝘁𝗮𝗶𝗹𝘀:
⏰ March 4, 2026
📍 Maths Faculty
🗣️ 🇩🇪 + 🇬🇧
🪙 Free

Register 👉 tinyurl.com/38m6z4s3

🔄 Know someone? Forward this!

2 months ago 1 0 0 0

Excited to see our young researchers featured 👏

2 months ago 1 0 0 0
Portrait of Nishu Kumari, postdoc researcher at the University of Vienna. She has black hair, wears glasses and a red patterned blouse, and sits under a tree against the backdrop of an entrance to a building. The image includes the Her Maths Story logo and her name and title.

Portrait of Nishu Kumari, postdoc researcher at the University of Vienna. She has black hair, wears glasses and a red patterned blouse, and sits under a tree against the backdrop of an entrance to a building. The image includes the Her Maths Story logo and her name and title.

“I feel that many women (…), might not know what (…) a career in maths actually means (…). I believe it is important to tell them that this is an option.” - Nishu Kumari

➡️https://hermathsstory.eu/nishu-kumari/

#HerMathsStory #Academia #Combinatorics #Europe #Postdoc @randomstructures.bsky.social

2 months ago 9 4 2 0
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It's the 100th anniversary of Schrödinger's Equation!

Join international experts this week as they cover a century of quantum breakthroughs at ESI Vienna.

No registration required!

👉 Find the full program here: www.esi.ac.at/events/e596/

© 📸 ESI/Uni Wien

@esivienna.bsky.social @univie.ac.at

2 months ago 1 0 0 0
pic of nathanael with his book and the title a book a decade in the making

pic of nathanael with his book and the title a book a decade in the making

A decade of labour went into this book!

Nathanaël received the physical copy of his book Gaussian Free Field and Liouville Quantum Gravity published late last year.

He and co-author Ellen Powell were inspired ten years ago in Cambridge.

Order here 👉 www.cambridge.org/core/books/g...

3 months ago 1 0 0 0
a picture of Marcus and the title of the paper with the words congratulations

a picture of Marcus and the title of the paper with the words congratulations

Big milestone for our team member Marcus!
His first paper just went up on arXiv this week on the 1/4-phenomenon of placement probabilities of tilings in the Aztec diamond.

Give him a round of applause 👏

👉 Read the paper here: arxiv.org/abs/2512.08377

4 months ago 0 0 0 0
dark blue background and in yellow the word publication and name of publication A Generalization of Conjugation of Integer Partitions and list of some of the co-authors:
Seamus Albion
Ilse Fischer
Christian Krattenthaler
et al

dark blue background and in yellow the word publication and name of publication A Generalization of Conjugation of Integer Partitions and list of some of the co-authors: Seamus Albion Ilse Fischer Christian Krattenthaler et al

Spotlight on publication no. 2 of 2025:
A Generalization of Conjugation of Integer Partitions

Read the full paper here 👉 www.combinatorics.org/ojs/index.ph...

4 months ago 0 0 0 0

Thanks so much for featuring one of outstanding researchers and team members 👏

5 months ago 1 0 0 0

Check out Ilse's profile over on Her Maths Story!

We think it's really worth a read 👏

#womeninmaths #mathematics #austria #womeninstem

5 months ago 4 2 0 1
🤓Logisches Denken: Mathematik spielend lernen🎲 | Universität Wien
🤓Logisches Denken: Mathematik spielend lernen🎲 | Universität Wien YouTube video by Universität Wien

Our team member Marcus worked with @univie.ac.at for their Future Skills series. We love the result!

Watch here:
www.youtube.com/watch?v=YaSB...

What future skills do you think we need?

#futureproof #maths #stem

5 months ago 1 0 0 0

Our very own Mihyun from TU Graz has an excellent feature on @hermathsstory.bsky.social Go check it out! 👏

7 months ago 3 1 0 0
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Thanks so much for featuring Mihyun!

7 months ago 2 0 0 0
A text box that reads our publications and another text box, both bright yellow, with the name of the paper (see posting text) and author shane chern et a. with a graphic of a paper and a megaphone

A text box that reads our publications and another text box, both bright yellow, with the name of the paper (see posting text) and author shane chern et a. with a graphic of a paper and a megaphone

Our first official publication of 2025: "A bijective look at gapfree partitions: between local and global" by Shane Chern et al.

Shane said of this milestone:
“A toast to George, my dearest PhD advisor!"

Check it out here 👉 link.springer.com/article/10.1...

7 months ago 0 0 0 0
a hand holding up a trophy on a dark blue background and the words congratulations academic ranking of world universities 2025 written on it

a hand holding up a trophy on a dark blue background and the words congratulations academic ranking of world universities 2025 written on it

Our 3 unis have placed in the top 25% (ok, since we’re pedantic, the top 24%–28% 😉) of the Academic Ranking of World Universities 2025!

1️⃣ Uni of Vienna → Group 101–150
(+ 31st in maths!)
2️⃣ TU Wien → Group 201–300

3️⃣ TU Graz → Group 601–700

Congratulations to all unis!

7 months ago 0 0 0 0
Preview
Counting independent sets in percolated graphs via the Ising model Given a graph $G$, we form a random subgraph $G_p$ by including each edge of $G$ independently with probability $p$. We provide an asymptotic expansion of the expected number of independent sets in random subgraphs of regular bipartite graphs satisfying certain vertex-isoperimetric properties, extending the work of Kronenberg and Spinka on the percolated hypercube. Combining graph containers with the cluster expansion from statistical physics, we give an expansion of the partition function of the Ising model in certain range of the parameters. Among other applications, we obtain results for even tori of growing side-length. As a tool, we prove a refined container lemma for the Ising model, which mildly improves recent bounds of Jenssen, Malekshahian, and Park.

Read the full paper here: arxiv.org/abs/2504.08715

10 months ago 0 0 0 0
A dark blue background with title of the Preprint Counting Independent sets in percolated graphs via the Ising model and an illustration of the Ising model figure from the research

A dark blue background with title of the Preprint Counting Independent sets in percolated graphs via the Ising model and an illustration of the Ising model figure from the research

Our paper on percolated graphs is a compelling example of how combining ideas from combinatorics, probability, and statistical physics can lead to new insights.



Our approach is based on the initial insight that, in expectation, the problem behaves like the Ising Model.

Link in comments 👇

10 months ago 1 0 1 0
Graphic with text: Apply for the new Bachelor's program Mathematical Foundation of Data Science now!

Graphic with text: Apply for the new Bachelor's program Mathematical Foundation of Data Science now!

Graphic with text: The Program at a Glance: BSc, 6 semesters, English language, start in October '25, No fees for EU citizens, deadline on 3 June

Graphic with text: The Program at a Glance: BSc, 6 semesters, English language, start in October '25, No fees for EU citizens, deadline on 3 June

Graphic with text: Do you want to become a problem solver of tomorrow? Apply now and study in one of the most liveable cities in the world!

Graphic with text: Do you want to become a problem solver of tomorrow? Apply now and study in one of the most liveable cities in the world!

Ready to shape the future with data and AI?

Take a look at University of Vienna’s brand-new BSc program:
🎓 Mathematical Foundations of Data Science
📍 100% in English
📍 Designed for the future of AI, tech & research

Be part of the first class and build the skills that shape tomorrow

Apply now!

11 months ago 9 4 1 2
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Excited to announce Nathanael has been named a Fellow of the IMS for his contributions to probability theory and mathematical physics.

“I couldn't be prouder to have been named a Fellow. The IMS publishes the best journals in the field, making sure these are priced affordably and inclusively.”

11 months ago 2 0 0 0
A portrait of Andres

A portrait of Andres

View from Facculty of Mathematics of Uni Vienna

View from Facculty of Mathematics of Uni Vienna

Old building in Budapest

Old building in Budapest

We hosted Andres Contreras Hip from Chicago for a 2-week research visit in Vienna! He joined us for maths collaboration, talks, and even visited the Budapest-Vienna Seminar.
Andres concluded: “Great math, food & music in a superb city.”
Swipe to see Vienna & Budapest through his eyes!

11 months ago 0 0 0 0
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Nathanael and Prof Sun on campus at PKU

Nathanael and Prof Sun on campus at PKU

PKU campus in spring

PKU campus in spring

Nathanael at the Institute of Mathematics in Beijing

Nathanael at the Institute of Mathematics in Beijing

A german quote "We must know, we will know" above the door to a lecture hall at PKU

A german quote "We must know, we will know" above the door to a lecture hall at PKU

Nathanael just returned from a research trip to China, where he met Prof Sun at PKU.

He said:
“I was hugely impressed by the scientific level, which is on a strikingly exponential upward trajectory. China is building a world-class scientific environment, and probability community in particular."

11 months ago 0 0 0 0
blue and yellow structure in the shape of a heart on blue background and the name Random Structures

blue and yellow structure in the shape of a heart on blue background and the name Random Structures

We're a research cluster uniting experts from @univie.ac.at , @tuwien.at & @tugraz.bsky.social to explore the intersection of #probability and #combinatorics & tackle some of maths' most fascinating problems!

Generously funded by @fwf-at.bsky.social

#RandomStructures #Mathematics #MathResearch

11 months ago 2 0 0 0