mathematics

Peter Jagers

Peter Jagers 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 Peter Jagers rather than just read about it. In short: Peter Jagers (12th March 1941) is a professor emeritus of mathematical statistics at University of Gothenburg and Chalmers University of Technology who made lasting contributions in probability and general branching processes. Jagers was first vice president (2007–2010) of the Royal Swedish Academy of Sciences and chair of the Royal Society of Arts and Sciences in Gothenburg (2012).

Key takeaways

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

Reference excerpt

Peter Jagers (12th March 1941) is a professor emeritus of mathematical statistics at University of Gothenburg and Chalmers University of Technology who made lasting contributions in probability and general branching processes. Jagers was first vice president (2007–2010) of the Royal Swedish Academy of Sciences and chair of the Royal Society of Arts and Sciences in Gothenburg (2012). He in an elected member of the International Statistical Institute, a Fellow of the Institute of Mathematical Statistics and past president of the Bernoulli Society (2005–2007). He also served as a member of the Scientific Advisory Board of Statistics Sweden. Jagers has been coordinating editor of the Journal of Applied Probability and Advances in Applied Probability. He is on the editorial committee for Springer's books on probability theory and was editor of Stochastic Processes and their Applications 1989–1993.

Honors and awards Jagers received an honorary doctorate from the Bulgarian Academy of Sciences and in 2012 was awarded the Carver Medal by the Institute of Mathematical Statistics. In 2003 he received the Chalmers Medal and in 2005 was awarded King Carl XVI Gustaf 's gold medal for "services to mathematics in Sweden and internationally".

Publications He has published a large number of scientific works, notably in branching process theory and its applications, and is the author of two books, Branching Processes with Biological Applications (J. Wiley 1975) and Branching Processes: Variation, Growth, and Extinction of Populations (Cambridge U. Press 2005). The Crump-Mode-Jagers (or generalized) branching process is named for Jagers.

References

Illustrations

Worked examples

Example 1 — a first encounter with Peter Jagers

Start with the simplest possible case. Write down what Peter Jagers 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 Peter Jagers 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 Peter Jagers 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 Peter Jagers

In research: Peter Jagers 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 Peter Jagers 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: Peter Jagers is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1941 births, Academic staff of the Chalmers University of Technology, Academic staff of the University of Gothenburg, so understanding it makes those chapters shorter.
In everyday life: Look for Peter Jagers 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 Peter Jagers in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Peter Jagers 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 Peter Jagers out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Peter Jagers in simple terms?

Why does Peter Jagers 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 Peter Jagers?

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 Peter Jagers.