mathematics

Richard H. Stockbridge

Richard H. Stockbridge 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 Richard H. Stockbridge rather than just read about it. In short: Richard H. Stockbridge is a Distinguished Professor Emeritus of Mathematics at the University of Wisconsin-Milwaukee.

Key takeaways

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

Reference excerpt

Richard H. Stockbridge is a Distinguished Professor Emeritus of Mathematics at the University of Wisconsin-Milwaukee. His contributions to research primarily involve stochastic control theory, optimal stopping and mathematical finance. Most notably, alongside Professors Thomas G. Kurtz, Kurt Helmes, and Chao Zhu, he developed the methodology of using linear programming to solve stochastic control problems.

Education Stockbridge obtained his Ph.D. from the University of Wisconsin-Madison under the supervision of Thomas G. Kurtz with a dissertation entitled "Time-Average Control of Martingale Problems". He also holds a master's degree in mathematics from the University of Wisconsin-Madison and attended St. Lawrence University in Canton, New York, for his baccalaureate studies.

Academic career Following the awarding of his Ph.D., Stockbridge served as an assistant professor in the Department of Mathematics and Statistics at Case Western Reserve University from 1987 to 1988. He then took an assistant professor position at the University of Kentucky from 1988 to 1993, leading to an associate professorship which he held until 2000. Later, Stockbridge began working at the University of Wisconsin-Milwaukee and became a full professor in 2002. In 2018, he was awarded the title of "distinguished professor" by the University of Wisconsin Milwaukee Distinguished Faculty Committee. Stockbridge has also held various visiting positions, including:

Visiting Scholar, Heriot Watt University, School of Mathematical and Computer Science, Edinburgh, Scotland, March–August 2016 Sabbaticant Professor, University of Botswana, Department of Mathematics, July 2008 – January 2009 Visiting Fellow, Bath University, Department of Mathematical Sciences, Bath, England, January–July 1997 Visiting Assistant Professor, University of Kentucky, Department of Mathematics, Lexington, Kentucky, 1988–89

Research Professor Stockbridge's research is focused on developing linear programming techniques in stochastic control. These techniques give an alternative formulation to the traditional dynamic programming framework used in stochastic control problems and have been demonstrated in examples including control of the running maximum of a diffusion, optimal stopping problems, and regime-switching diffusions. Through the completion of his Ph.D. dissertation, Stockbridge examined the relationship between long-term average stochastic control problems and linear programs spanning the space of stationary distributions for that controlled process, ultimately concluding their equivalence. This dissertation served as a basis for significant work in the field. Following his graduate studies, Stockbridge helped expand the applications of this equivalence between linear programming and stochastic control to include discounted, first-exit and finite horizon problems.

Publications Notable publications by Richard Stockbridge include:

References

Illustrations

Worked examples

Example 1 — a first encounter with Richard H. Stockbridge

Start with the simplest possible case. Write down what Richard H. Stockbridge 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 Richard H. Stockbridge 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 Richard H. Stockbridge 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 Richard H. Stockbridge

In research: Richard H. Stockbridge 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 Richard H. Stockbridge 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: Richard H. Stockbridge is common in secondary-school and first-year university syllabi. It links to neighbouring topics American mathematicians, Living people, University of Wisconsin–Milwaukee faculty, so understanding it makes those chapters shorter.
In everyday life: Look for Richard H. Stockbridge 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 Richard H. Stockbridge in 20 minutes

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

Frequently asked questions

What is Richard H. Stockbridge in simple terms?

Richard H. Stockbridge is a Distinguished Professor Emeritus of Mathematics at the University of Wisconsin-Milwaukee.

Why does Richard H. Stockbridge 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 Richard H. Stockbridge?

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 Richard H. Stockbridge.