Cédric Villani on Joseph Fourier’s ‘mathematical poem’ • RFI English

[@DarkSkay]

"Frequencies are inverses of distances." Beautiful. First time this sentence comes to my ear, unless it was long ago. Thank you so much & happy 2025!

[@anywallsocket]

Indeed, although it’s a bit more sublte. I believe a good way to think about it is that you have regular space, and then its dual space. In physics we often call this the Fourier or momentum representation, because it conveys our (x,t) dynamics in terms of (p, omega). So really x is conjugate to p (momentum) and t is conjugate to omega (frequency) - this Fourier transform also explain exactly the x,p and t,E uncertainty relations in QM, since energy E is a function of frequency.

[@ilricettario]

“I was asked to wear a more sensible tie” Explains a lot.

[@margerdei]

Cedric Villani never fails to make math entertaining - he's fantastic. 💖

[@markgoretsky766]

Here Cédric Villani gives masterfully condense poem about great mind of Joseph Fourier. Many thanks for the download.

[@johnchessant3012]

Awesome! and <a href="#" class="seekto" data-time="128">2:08</a> is a similarity of Cedric Villani as a modern-day Fourier as he is not only a top mathematician but also elected as a deputy in the National Assembly from 2017 to 2022

[@leif1075]

How can I be like them??

[@ytb40]

Thank you so much for presenting Cederic Villiani. His works on optimal transport are the defining cornerstone of today's generative image modeling via diffusion. A genius for sure.

[@johnmph7562]

You can watch and listen this encoded video thanks to the fourier transform tools

[@ytb40]

And you can generate artificial images and videos with tools like Stable Diffusion today thank to the awesome contributions of Prof. Villiani to Optimal Transport Theory and its connections to Differential Equations and Dissipative Structures ....

[@iseron]

Interestingly the Fourier transform is a specific adaptation for frequency of the laplace transform, so laplace transform is more robust and complete rather than Fourier transform

[@STohme]

Cédric est brillant comme à son habitude.

[@DoigteKatakou-ys6zj]

Brilliant ! I've attended one of Villani's conferences at INSA Lyon in Nov. 2023. He's such a great speaker and a good explainer despite his deep mastery.

[@pontdecheruy]

Mais comment il est beau ce mec! Vraiment , hats off.

[@MBSall]

Thank you Cedric for this good and clear explanation

[@LucharPS]

Cedric Villani is perhaps my favorite mathematician.

[@Mangojozie]

Merci M. Villani!

[@carlkuss]

This is wonderfully done, and simple. The way I like it.

[@jorgechavesfilho]

Great, just great!

[@nokkokanokwan]

Awesome! Thank you for upload. HNY to the team!

[@mcpickett303]

I loved this, thank you!

[@bernardoabreu4910]

Excellent

[@Giantcrabz]

His face looks like Jeremy Irons crossed with Russell Brand

[@PugFaceMillionaire]

Billy Bob Thornton

[@FredNelson-t2d]

Thinking John wick

[@cg8397]

He has aged very badly, he's only 51 years old.

[@yvanricardoecarrigomez]

He's the Villain

[@fernandobetancourt7874]

There is a great lecture from Walter Rudin (is on youtube) talking about this topics.

[@ZeubZebi-f6i]

really cool

[@CanalDasFrutass]

👏👏👏📚

[@abhisheksoni9774]

❤😊

[@josephdays07]

Joseph Fourier was a great mathematician. Excellent video. I have developed a new way of developing spirals, as a mother pattern of all spirals, I have written a book on this subject. If you want to see the equations I have written you can see the videos on my channel and the scientific notes I have written. Additionally. I have developed the theory of Trigonometric Partitions with which I can create wavelets and the graph of the uncertainty principle and wave packet of Schrodinger Equation, without using complex numbers, the Fourier series and its transforms. Wavelets as a function of Frequency, Angular Velocity and Time.

[@GottfriedLeibniz5]

Engineering Students Gathering Here: 👇

[@shinn-tyanwu4155]

Application in thermal conduction is not as revolutionary as in wave😊

[@FerUV]

Based on this Al juarismi from him depends all formulas

[@peterfireflylund]

No.

[@Ant1-l9k]

Villani has also tried politics with Macron … a joke

[@dharialurie2195]

"Sacred We hail from the far-off East Driven by a mission sacred With compassion filling our breast Most lives in this world are divine beings in the flesh But for earthly gain they harm themselves unknowingly Modern thought and ways are without any compass Behind atheism and evolution lurks an agenda hidden Your true hope is to learn the Way and return to Heaven Heaven’s gates are now open but shan’t remain for long What I convey is the truth For the Creator calls upon me to deliver lives back to Heaven April 8, 2019" Master Li Hongzhi (Hong Yin VI, from Falun Dafa teachings)

[@HowardARoark]

Interesting interview, though sad to see a nod to "climate change" - though thankfully Villani quickly put it down.

[@pianoman1857]

Villani was part of a political green party, he’s committed to talk about this subject now.

[@sr-gc6vh]

So you have a problem dealing with scientific reality.

[@anonanon5878]

@@sr-gc6vh More likely just an problem with using "The Science" only when it aligns with political agenda's while ignoring it just about everywhere else.

[@scottychen2397]

This is one of the eloquent ways of illustrating the meaning of the so called ‘ uncountable ‘ . A set of numbers is uncountable if it is ‘ greater ‘ in cardinality than a posteriori indexing . Countless ? No thing is more countless than that which is already count - less … There is an imperative to understand the meaning behind this attempt at accessing geometry . The classical theory of fourier series : the arbitrarily considered function over the reals .. has a meaning , in intensive magnitude , in the wake of Cantor ‘ s mathematics That is a creation . The creation of meaning is unmistakable , and could be seen as governing any sub - theme that one may find in the theory of fourier series … Which is ripe with antinomies : Specifying the pursuit of ‘ quantum ‘ mechanics is an artful restriction upon seeking within this space of thematic truth ( which includes D ‘ alembert lines , e . g . ) In what sense may the concept of ‘ uncountable ‘ be considered a fact ? It is surely a tool , at least . ( ‘ continuity ‘ is not a concept that may be butchered in union with the theme of the ‘ uncountable ‘ )

[@esorse]

Reductio ad absurdum, called proof by contradiction in mathematics - assume required proof opposite and show it leads to contradiction - , raises an issue over the recognition of both numbers and non-number infinity * in Heat Equation ** and infinite sum Fourier Series theories. * Even though infinity has an unrestricted connotation ^ , to resolve this Cantor declares it to be a transfinite number, consequentally of which there is an ordered collection after the first tfn omega, ω = {1, 2, 3, ...} , equal to the set of natural numbers, while also defining an ordinal number to be the order type of a well ordered set, like 0 := { } , 1 := {{ }} , ... , for ":=" assign, with a woset, ( X , ⊆ ) , for "⊆" improper subset, being a set, X, equipped with an order relation, ⊆ , that is reflexive x ⊆ x , antisymmetric x ⊆ y and y ⊆ x implies x = y , transitive x ⊆ z if x ⊆ y and y ⊆ z , comparable x ⊆ y or y ⊆ x , where any subset has a least element, although ∞ is still typically claimed to be a symbol. ** Any partially differentiable function at a point is continuous, meaning that for real numbers ^^ ε, δ and α , for all ε there is a δ, with | x - α |