SIAM Activity Group on Dynamical Systems (@DynamicsSIAM) profile picture

SIAM Activity Group on Dynamical Systems

@DynamicsSIAM

The X account of Society for Industrial and Applied Mathematics activity group on Dynamical Systems. Managed by activity-group officers. https://xitter.twitterapi.xyz/t.co/StVrDaPXwb

siam.org/activity/ds/
Joined January 2016
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Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)Photo by SIAM Activity Group on Dynamical Systems (@DynamicsSIAM)
Minisymposium proposals for the 2027 SIAM Conference on Applications of Dynamical Systems (aka "the Snowbird Meeting"; #SIAMDS27) are due by 26 October 2026: siam.org/conferences-events/… This is our activity group's biennial conference. Come join us!
SIAM Conference on Applications of Dynamical Systems (DS27) | SIAM

SIAM Conference on Applications of Dynamical Systems (DS27) | SIAM

The SIAM Conference on Applications of Dynamical Systems (DS27) will be held Atlanta, Georgia, U.S. from May 23–27, 2027.

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"A Hierarchical View of Ecological Encounters" (by many authors): arxiv.org/abs/2611.13466
A Hierarchical View of Ecological Encounters

A Hierarchical View of Ecological Encounters

Encounters between individuals, or between individuals and entities like vehicles, are central to understanding a host of topics in ecology and related fields. Problems of mate-finding,...

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"Encounters between individuals, or between individuals and entities like vehicles, are central to understanding a host of topics in ecology and related fields."
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"Geometry and Stochastic Analysis of Flow and Diffusion Models: A Survey" (by Ehsan Mirafzali, Razvan Marinescu): arxiv.org/abs/2611.12107
Geometry and Stochastic Analysis of Flow and Diffusion Models: A Survey

Geometry and Stochastic Analysis of Flow and Diffusion Models: A Survey

Flow-based and diffusion-based models have become the principal means of learning and sampling high-dimensional probability distributions, from images and video to proteins, molecules and physical...

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"Flow-based and diffusion-based models have become the principal means of learning and sampling high-dimensional probability distributions, from images and video to proteins, molecules and physical fields, and increasingly language."
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Survey article: "Permutons" (by Jacopo Borga, Valentin Féray, Peter Winkler): arxiv.org/abs/2611.12104
Permutons

Permutons

Permutons are limit structures for large permutations. Intrinsically, a permuton is a familiar mathematical object: a probability measure on the unit square with uniform marginals. The compact...

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"Permutons are limit structures for large permutations. Intrinsically, a permuton is a familiar mathematical object: a probability measure on the unit square with uniform marginals."
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"An Introduction to Applied Probability and Stochastic Processes: Open Lecture Notes" (by Matthew Lorig): arxiv.org/abs/2611.10948 [note: broad introduction to measure-theoretic probability and stochastic processes; two-quarter course for first-year PhD students in applied math]
An Introduction to Applied Probability and Stochastic Processes:...

An Introduction to Applied Probability and Stochastic Processes:...

These open lecture notes provide a broad introduction to measure-theoretic probability and stochastic processes, with a focus on applications. Topics include probability spaces, conditional...

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"These open lecture notes provide a broad introduction to measure-theoretic probability and stochastic processes, with a focus on applications."
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"Discrete Spoilers: Introducing Abstract Undergraduate Mathematics Using Graph Theory" (by Fernando Diaz-Diaz): arxiv.org/abs/2611.10143
Discrete Spoilers: Introducing Abstract Undergraduate Mathematics...

Discrete Spoilers: Introducing Abstract Undergraduate Mathematics...

Students often have serious difficulties with many key concepts of the undergraduate mathematics curriculum. We argue that many of these difficulties can be eased by explicitly separating the key...

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"Students often have serious difficulties with many key concepts of the undergraduate mathematics curriculum. We argue that many of these difficulties can be eased by explicitly separating the key ideas from the technical details."
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Software: "sdos: spectral densities of large sparse Hermitian and generalized eigenproblems" (by David A. Drabold): arxiv.org/abs/2611.11310
sdos: spectral densities of large sparse Hermitian and generalized...

sdos: spectral densities of large sparse Hermitian and generalized...

sdos is an open Python package that computes the density of states (DOS) and related spectral quantities of very large sparse Hermitian matrices A, and of generalized problems A psi = lambda B...

arxiv.org
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"sdos is an open Python package that computes the density of states (DOS) and related spectral quantities of very large sparse Hermitian matrices A, and of generalized problems A psi = lambda B psi, from Chebyshev moments estimated with random vectors."
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"Roadmap on Nanoscale Superconductivity for Quantum Technologies" (by many authors): arxiv.org/abs/2611.10076
Roadmap on Nanoscale Superconductivity for Quantum Technologies

Roadmap on Nanoscale Superconductivity for Quantum Technologies

In 2025, the Year of Quantum Science and Technology, we celebrate a century of quantum mechanics, witnessing a surge in activities that illuminate its inherent strangeness and drive technological...

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"In 2025, the Year of Quantum Science and Technology, we celebrate a century of quantum mechanics, witnessing a surge in activities that illuminate its inherent strangeness and drive technological innovation."
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"Deep Learning Theory through the Lens of Statistical Physics: A Topical Review" (by Wei Huang, Youjin Deng): arxiv.org/abs/2611.09138
Deep Learning Theory through the Lens of Statistical Physics: A...

Deep Learning Theory through the Lens of Statistical Physics: A...

The recent success of foundation models and deep learning has far outpaced our theoretical understanding of how large-scale neural networks learn and generalize. Statistical physics provides a...

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"The recent success of foundation models and deep learning has far outpaced our theoretical understanding of how large-scale neural networks learn and generalize."
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Acknowledging AI is like stating precise experimental equipment. Different AI tools and versions have different biases due to different training data (including biases in things like probability distributions), so they need to be fully specified to be able to replicate workflows.
Alex Kontorovich (@AlexKontorovich) profile pictureAlex Kontorovich
@AlexKontorovichNov 7
I think the AI acknowledgement stuff is a fad; nobody will bother writing (or look forward to reading) such six months from now. Frank Calegari put it best: evaluate all written material from here on out as if it was entirely AI generated, whether it was or not. So what if it was? Is it a valuable contribution to the scientific literature or not? For the purposes of hiring: does the person claiming the result actually understand deeply the subtleties of the result, and can communicate it effectively to others? That's what actually matters.
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"How to Look Inside the Black Box: A Survey of Yu. E. Nesterov's Contributions (On the Award of the 2026 Gauss Prize)" [by A. V. Gasnikov, A. Yu. Gornov, D. M. Dvinskikh, Yu. V. Dorn, D. I. Kamzolov, Yu. V. Maximov, V. V. Matyukhin, R. F. Hildebrand]: arxiv.org/abs/2611.07114

How to Look Inside the Black Box: A Survey of Yu. E....

On July 23, 2026, at the opening of the International Congress of Mathematicians in Philadelphia, the International Mathematical Union announced the award of the Gauss Prize to Yurii Evgenievich...

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"On July 23, 2026, at the opening of the International Congress of Mathematicians in Philadelphia, the International Mathematical Union announced the award of the Gauss Prize to Yurii Evgenievich Nesterov -- (…)"
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Monograph: "Constructive Probability, Foundations and Numerical Analysis for mathematical finance and machine learning" (by Claudio Albanese): arxiv.org/abs/2611.07944

Constructive Probability, Foundations and Numerical Analysis for...

This monograph sets out a constructive theory of stochastic processes in the continuum, in the sense of constructive field theory: the continuum is not postulated but reached as the limit of a...

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"This monograph sets out a constructive theory of stochastic processes in the continuum, in the sense of constructive field theory: (…)"
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"Synchronized Hearts, Desynchronized Brains: A Nonlinear Dynamics Perspective for Function and Failure" (by many authors): arxiv.org/abs/2611.06618

Synchronized Hearts, Desynchronized Brains: A Nonlinear Dynamics...

Both the heart and the brain are built from electrically excitable cells, yet the emergent dynamics of these organs could not differ more. In the myocardium, a coherent traveling wave of action...

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"Both the heart and the brain are built from electrically excitable cells, yet the emergent dynamics of these organs could not differ more."
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"A New Dawn For Mathematical Progress" (by Atoosa Kasirzadeh, 29 October 2016): noemamag.com/a-new-dawn-for-… "Artificial intelligence is already a transformative chapter in the story of mathematics, but it won’t be the final one." (h/t Linnéa Gyllingberg)
A New Dawn For Mathematical Progress | NOEMA

A New Dawn For Mathematical Progress | NOEMA

Artificial intelligence is already a transformative chapter in the story of mathematics, but it won’t be the final one.

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New Fellows of the American Mathematical Society (@amermathsoc), class of 2027! ams.org/cgi-bin/fellows/fell…
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Lecture note: "An Introduction to Financial Derivatives: Open Lecture Notes" (by Matthew Lorig): arxiv.org/abs/2611.01355
An Introduction to Financial Derivatives: Open Lecture Notes

An Introduction to Financial Derivatives: Open Lecture Notes

These lecture notes give a broad introduction to financial derivatives at the level of a Masters program in quantitative finance. Topics include forward and futures contracts, no-arbitrage bounds...

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"These lecture notes give a broad introduction to financial derivatives at the level of a Masters program in quantitative finance."
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"Lecture note on Fourier decoupling theory and its applications" (taken and organized by Yudong Liang): arxiv.org/abs/2611.03549
Lecture note on Fourier decoupling theory and its applications

Lecture note on Fourier decoupling theory and its applications

This paper is based on lecture notes taken and organized during the 17th Graduate Mathematics Intensive Training Program (Spring 2025), held at the Beijing International Center for Mathematical...

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"This paper is based on lecture notes taken and organized during the 17th Graduate Mathematics Intensive Training Program (Spring 2025), held at (…)"
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"Letter to a Young Black Mathematician: History, Storytelling, and Belonging in Mathematics" (by Ranthony A. Clark): arxiv.org/abs/2611.00125
Letter to a Young Black Mathematician: History, Storytelling, and...

Letter to a Young Black Mathematician: History, Storytelling, and...

What does it mean to tell the story of a mathematician? Written as a letter to a young Black mathematician, this article reflects on how stories shape our understanding of mathematics and our...

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"What does it mean to tell the story of a mathematician? Written as a letter to a young Black mathematician, this article reflects on how stories shape our understanding of mathematics and our sense of belonging within the mathematical community."
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"OpenAI’s Navier-Stokes Construction: What C^♾️ Forcing Changes" (by Thomas Y. Hou, in @TheSIAMNews): siam.org/publications/siam-n…
OpenAI’s Navier-Stokes Construction: What \(C^{\infty}\) Forcing Changes | SIAM

OpenAI’s Navier-Stokes Construction: What \(C^{\infty}\) Forcing Changes | SIAM

Thomas Hou examines the changes that stem from \(C^{\infty}\) forcing given OpenAI’s recent announcement that one of their ai models had proposed a proof for the three-dimensional Navier Stokes...

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"Hidden Routes: What Nonlinear Control Teaches Us About AI Safety" (by Enrique Zuazua, in @TheSIAMNews): siam.org/publications/siam-n…
Hidden Routes: What Nonlinear Control Teaches Us About AI Safety | SIAM

Hidden Routes: What Nonlinear Control Teaches Us About AI Safety | SIAM

Enrique Zuazua analyzes the attack on Hugging Face, the leading public repository of AI models and data, using control and systems theory.

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