Recently, I had an opportunity to visit the Einstein Papers Project (EPP), a centre that is currently compiling, organising, and publishing all the major and minor written works by the great 20th century theoretical physicist Albert Einstein. This centre is born out of the efforts from Einstein’s secretary Miss Helen Dukas and close friend OttoContinueContinue reading “Einstein’s collected works at the Einstein Paper Project (LA)”
Author Archives: Saksham
Congratulatory post – incoming Ph.D. student at the University of Edinburgh
This post is intended to congratulate Mr Adnan Mahmud, who is going to join the University of Edinburgh as a Ph.D. student and work on digital twins using Bayesian networks for real-time uncertainty quantification and predictive analysis. After supervising Adnan on the Fluid Mechanics course for Cambridge CE Tripos, we worked on a series ofContinueContinue reading “Congratulatory post – incoming Ph.D. student at the University of Edinburgh”
2-player games: Ergodic Theory and Ramsey Theory results
This post aims to summarise key results from the literature of two-player games, both finite (with an absorbing state) and infinite (without an absorbing state). Canonical examples include competitive or recreational games like chess, tic-tac-toe (including the ultimate version), and attacker-follower games (known as Stackelberg games in game-theoretic economics). On Math Stack Exchange, for overContinueContinue reading “2-player games: Ergodic Theory and Ramsey Theory results”
Fluid Dynamics, Computer Science, and Geometry – Barcelona 2024
After the June 2023 workshop organised in Royal Institution, London on “Navier-Stokes regularity, fluid computing, and machine learning”, which hosted the guest lecture by Prof. Eva Miranda, who was awarded the Hardy lecturer title, Eva, Daniel, and Ángel organised a first of its own kind workshop in Barcelona, in September 2024. Spanning almost a week,ContinueContinue reading “Fluid Dynamics, Computer Science, and Geometry – Barcelona 2024”
Euler’s (compiled) works in Bernoulli-Euler Zentrum, Basel
Recently, I had an opportunity to visit the University of Basel in Switzerland, which houses a fascinating archive centre in its University Library — the “Bernoulli-Euler Center (BEZ in German)”, founded in 2010.I was kindly hosted and given a brief tour of the archive centre by the researcher and archivist based in the centre, SulamithContinueContinue reading “Euler’s (compiled) works in Bernoulli-Euler Zentrum, Basel”
A few disjoint thoughts collating “numbers”
The spring of 2024 started with a new habit, that turned into a hobby, and eventually, a fascinating observation. Counting the number of veins in either half of the leaf, I found a repeated pattern that the number is more likely to be an odd or prime number than even number (there were significantly minorContinueContinue reading “A few disjoint thoughts collating “numbers””
Mathematical model for computability using neural networks: Part 1 (RNN)
Prologue Ongoing advances in LLMs call for a mathematical model that can analytically model its computability. To do so, it is important to start with a basic model of LLM that captures the core properties, still allowing mathematical tractability. Let’s start with mathematical model for RNNs.Introduction Consider an RNN network $latex \mathbb{N}$ composed of $latexContinueContinue reading “Mathematical model for computability using neural networks: Part 1 (RNN)”
Multitudes of beliefs in science
It is often said that science and scientists work objectively, and logic, rationalism governs science. While for the most part of the process it is true, except that the underlying axioms or beliefs dictate which thread of rationalism a particular scientist weaves through their career. This is an important question to consider, given that scienceContinueContinue reading “Multitudes of beliefs in science”
Navier-Stokes regularity, fluid computing, and machine learning workshop
This post is intended as an advertisement or extended abstract and open invitation for community of researchers who work at the interface of: (a) fluid mechanics; (b) machine learning and analog computing; (c) functional analysis of Navier-Stokes equations, to attend a series of talks in an upcoming workshop at the London Institute for Mathematical Sciences.ContinueContinue reading “Navier-Stokes regularity, fluid computing, and machine learning workshop”
A new preprint is out: experimental evidence of hydrodynamic singularity
On January 2020, my collaborator Dr Victor Kang saw a geometrically appealing observation, while performing receding-contact-line tests on pitcher fluids (as part of our previous collaboration; see the article here). What he observed was the formation of fractal-like ordered structures when the drop of a pitcher fluid is withdrawn inwards. These structures were formed atContinueContinue reading “A new preprint is out: experimental evidence of hydrodynamic singularity”
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