mathematics

Terry Lyons (mathematician)

Terry Lyons (mathematician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Terry Lyons (mathematician) rather than just read about it. In short: Terence John Lyons FLSW is a British mathematician, specialising in stochastic analysis. Lyons, Professor at Imperial College and at the University of Oxford (both part time) and previously the Wallis Professor of Mathematics, is a fellow of St Anne's College, Oxford.

Key takeaways

Terry Lyons (mathematician) belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Terry Lyons (mathematician) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Terry Lyons (mathematician) from memory before moving on to harder problems.

Reference excerpt

Terence John Lyons FLSW is a British mathematician, specialising in stochastic analysis. Lyons, Professor at Imperial College and at the University of Oxford (both part time) and previously the Wallis Professor of Mathematics, is a fellow of St Anne's College, Oxford. He was the director of the Oxford-Man Institute from 2011 to 2015 and the president of the London Mathematical Society from 2013 to 2015. His mathematical contributions have been to probability, harmonic analysis, the numerical analysis of stochastic differential equations, and quantitative finance. In particular he developed what is now known as the theory of rough paths. Together with Patrick Kidger he proved a universal approximation theorem for neural networks of arbitrary depth.

Education Lyons obtained his B.A. at Trinity College, Cambridge and his D.Phil at the University of Oxford.

Career Lyons has held positions at UCLA, Imperial College London, the University of Edinburgh and since 2000 has been Wallis Professor of Mathematics at the University of Oxford. He was the Director of the Oxford-Man Institute at the University of Oxford from 15 June 2011 to 15 December 2015. He also held a number of visiting positions in Europe and North America. Together with Zhongmin Qian he wrote the monograph System Control and Rough Paths, and together with Michael J. Caruana and Thierry Lévy the book Differential Equations Driven by Rough Paths.

Honours and awards In 1985 he was awarded the Rollo Davidson Prize. In 1986 he was awarded the Whitehead Prize of the London Mathematical Society. In 2000 he was awarded the Pólya Prize of the London Mathematical Society. He was elected a fellow of the Royal Society of Edinburgh in 1988, and elected a Fellow of the Royal Society in 2002; he was made a fellow of the Institute of Mathematical Statistics, in 2005 and a fellow of the Learned Society of Wales in 2011. In 2013, he was elected president of the London Mathematical Society. In 2007 he was awarded a Doctor Honoris Causa from the University of Toulouse, he was made an Honorary Fellow of Aberystwyth University in 2010 and Cardiff University in 2012. In 2017 he was awarded an honorary Doctor of Mathematics from the University of Waterloo.

References

Illustrations

Terry Lyons (mathematician) illustration

Worked examples

Example 1 — a first encounter with Terry Lyons (mathematician)

Start with the simplest possible case. Write down what Terry Lyons (mathematician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Terry Lyons (mathematician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Terry Lyons (mathematician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Terry Lyons (mathematician)

In research: Terry Lyons (mathematician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Terry Lyons (mathematician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Terry Lyons (mathematician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1953 births, 20th-century British mathematicians, 21st-century British mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Terry Lyons (mathematician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Terry Lyons (mathematician) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Terry Lyons (mathematician) means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Terry Lyons (mathematician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Terry Lyons (mathematician) in simple terms?

Why does Terry Lyons (mathematician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Terry Lyons (mathematician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Terry Lyons (mathematician).