Benoit B. Mandelbrot, MIT 2001 - Fractals in Science, Engineering and Finance (Roughness and Beauty)

Professor Benoit Mandelbrot presents a lecture at MIT on November 28th, 2001, titled "Fractals in Science, Engineering and Finance (Roughness and Beauty).” He is introduced by MIT Professor Emeritus Edward Lorenz SM ‘43 ScD ‘48 (pioneer of chaos theory).
Renowned for his contributions to the field of fractal geometry (including having coined the term ‘fractal,’) Mandelbrot explains that roughness is ubiquitous, and a major human sensory input. The first step to measure and simulate it was provided by fractal geometry. He illustrates these points by using examples drawn from the sciences, engineering (the internet) and (more extensively) from the variation of financial prices. He goes on to explain how the beauty of fractals, an unanticipated "premium," helps in teaching and bridges some chasms between different aspects of knowing and feeling.
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[@--JYM-Rescuing-SS-Minnow]

we lost an irreplaceable professor!! such wisdom in mathematical science!

[@user-gs1lz2pw9v]

Dan Winters is pretty good

[@avinkon]

Professor Mandelbrot’s contributions to the field of mathematics are monumental, and his legacy will undoubtedly endure for centuries to come, much like the enduring influence of Sir Isaac Newton. His groundbreaking work continues to inspire and shape the course of scientific discovery.

[@m322_yt]

What an amazing speaker he was.

[@muskduh]

mandelbot sets are amazing

[@_N0_0ne]

Thank you kindly ✍️

[@fruckstuck]

happy birthday my man

[@DarkSkay]

What happens when machine learning looks at the Mandelbrot set, M? Can AI find the most interesting and beautiful regions, deeper and deeper in? If you give AI a render from a specific region of M, can it develop an understanding for where, for which region it came from? Can ML find structure in M, that we haven't discovered yet - or vice versa, M find structure in different ML models/methods? What could all of above tell us about the very general concepts of iteration and recursion (in terms of philosophy, logic, maths)?

[@bailahie4235]

The question is also whether M is "computationally reducible" - a notion made well known by Wolfram: en.wikipedia.org/wiki/Computational_irreducibility mathworld.wolfram.com/ComputationalIrreducibility.html If M isn't computationally reducible - the question is whether any other algorithm, even an ML algorithm, will be able to make the predictions you mention. I have no idea, but it is the first association that crossed my mind.

[@DarkSkay]

@@bailahie4235 In 'A new Kind of Science' by Stephen Wolfram there are several references to Benoit Mandelbrot and M. Probably I won't understand much. Intuitively looking at the interplay between a collection of unusual (interdisciplinary) study objects feels appealing: The Mandelbrot set M as clearly defined structure / Human perception of M, rule&formula, order, chaos, emotion and beauty in it / Machine Learning perception of M, rule&formula, order, chaos, 'emotion' and beauty in it.

[@bailahie4235]

@@DarkSkay Ah, you also know his work, good! Thanks for your reflections and inspirations. A recommendation is the conversation between Stephen Wolfram and Lex Fridman, perhaps you've already seen it, otherwise it may be another source of wonderful inspirations.

[@jhonatancardona42]

Master!!

[@scarter9447]

Where does the structure of the M. set come from? Quantisation/Moire?

[@roach5606]

Watch the color of infinity 1995 by Arthur c clarke

[@scarter9447]

@@roach5606 i will. I think now that quantisation is the source of the patterning with the Mandelbrot set. Then if you transpose that onto atomic level we get patterning on the macro level.

[@youretheai7586]

His middle initial is an iteration of a fractal of his full name.

[@inertiaspinner555]

Fractal Everything

[@VUPHAM-fl6ey]

good job, i'm from vietnam

[@mathildeottele1320]

*WHEN YOU'RE AN ARCHITECT AND YOU GO GOOGLE TRANSLATION*

[@beautifulsmall]

Surely the length of the British isles can never be infinite. Atomic arcs will be the largest length ? As I write this I'm already saying, oh what about Protons.

[@francisbrewster4948]

Yes --- & protons don't exist .... three quarks ??

[@keltonfoster]

I'm really getting tried of all the head games.

[@lukaradojevic7195]

Something is hard or rough only relative and comperative to our sences..what is heavy,hard or rough to you and your sensation in reallity may not be the way you percieve it..you feel something as hard only because of your soft and sensitive skin..

[@AdarshPandeyOriginal]

but here roughness is about variation as can be seen by the eyes

[@lukaradojevic7195]

@@AdarshPandeyOriginal neverthless,eyes are still physical sences that we use to percieve reallity. my point was that our sences can percieve something only in terms of dualism,we don't see reallity as it is,which is why we make such concepts as smooth or rough,cold or hot,black and white etc..you wouldn't know that something is hot if you didn't have experience of its duality which you call cold.but that are all our own abstractions and concepts,reallity is non dual in its nature..

[@brnoza298]

The mathematical Fractal is unique because it has have infinite detail. But in reality the fractals that are perceived are rough or "imperfect", without infinite detail. This is the "roughness".

[@karenbotfxtrader7292]

These investment are only bound to make slow profit returns in the current market, I've come across a few blogs mentioning investors that generated profit of up to $56,000 in 3months and I'm eager to know what/how I can make such lucrative profit

[@jayjordan3970]

you need to devise a reliable strategy

[@daphnequine3369]

Alot of people these days are beginning to realize the profits of stock trading which honestly i feel it's amazing, like you said yet again it really profitable when the right strategy and indicator is in place

[@jessicakurt2409]

investment requires good experience and knowledge to carry out a good and successful trade, I have lost a lot trying to trade all by myself

[@lucasgoldluck4452]

That is the exact reason I advise both new and old investors to trade with a professional who understands the market quite well that way maximum profit is guaranteed I myself trade with expert Nicholas James, and I always worry less about loosing out on stock because of his market diversification strategy

[@kiarakaddell5077]

@@lucasgoldluck4452 Wish I knew this when I started investing in stocks. can you please share his contact because trading the same stocks everyone is trading over and over again isn’t getting me no where

[@sa0o923]

Holy ears

[@khushboorani2629]

I will complete his things...because why this is happening he didn't answer..I know the answer...this is not kind of maths.this is whole universe...I didn't study anything but I know exactly.

[@user-gs1lz2pw9v]

Dan Winters has the physics you looking for

[@thetruthimpart]

cult