mathematics

Grzegorz Rempala

Grzegorz Rempala 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 Grzegorz Rempala rather than just read about it. In short: Grzegorz (“Greg”) A. Rempala (Polish: Rempała; born March 19, 1968) is a Polish-American applied mathematician who works on the theory and applications of complex stochastic systems.

Key takeaways

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

Reference excerpt

Grzegorz (“Greg”) A. Rempala (Polish: Rempała; born March 19, 1968) is a Polish-American applied mathematician who works on the theory and applications of complex stochastic systems.

Biography Rempala studied mathematics at the University of Warsaw from 1987 to 1991, and worked at the Computer Science Institute of the Polish Academy of Sciences from 1991 to 1992. In 1992 he moved to the US where in 1996 he completed his PhD thesis at Bowling Green State University. His advisor was Prof. Arjun K Gupta. In 1998 he nostrified his degree at the University of Warsaw in the Department of Mathematics. The chair of his nostrification committee was Prof. Stanisław Kwapień. In 2007 he received his habilitation from Warsaw University of Technology. From 1996 until 2008 Rempala was a professor (full professor from 2007) in the Department of Mathematics at the University of Louisville. In 2008 he joined the Department of Biostatistics at the Medical College of Georgia and in 2013 moved to The Ohio State University (OSU) where he is currently a professor in the Division of Biostatistics and in the Department of Mathematics. In 2016 he was named the interim director of the Mathematical Biosciences Institute at OSU, and served in this position until 2018. His wife, Helena Rempala, is a professor of clinical psychology in the Department of Psychiatry and Behavioral Health at OSU. They have two sons, Jaś and Antoś.

Scientific interests Rempala is known for his work on random matrices, in particular on a random permanent function. He has also established some results in nonparametric statistics related to central limit theorems for products of random variables. He has worked on mathematical models of chemical reactions, diversity of molecular populations, and disease spread across contact networks. His more recent work focuses on dynamical survival analysis for epidemic models. He is a collaborator of the IBS Biomedical Mathematics Group.

See also Computing the permanent Central limit theorem

References

External links Greg Rempala's Web Page

Illustrations

Worked examples

Example 1 — a first encounter with Grzegorz Rempala

Start with the simplest possible case. Write down what Grzegorz Rempala 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 Grzegorz Rempala 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 Grzegorz Rempala 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 Grzegorz Rempala

In research: Grzegorz Rempala 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 Grzegorz Rempala 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: Grzegorz Rempala is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1968 births, 20th-century American mathematicians, 21st-century American mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Grzegorz Rempala 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 Grzegorz Rempala in 20 minutes

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

Frequently asked questions

What is Grzegorz Rempala in simple terms?

Grzegorz (“Greg”) A. Rempala (Polish: Rempała; born March 19, 1968) is a Polish-American applied mathematician who works on the theory and applications of complex stochastic systems.

Why does Grzegorz Rempala 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 Grzegorz Rempala?

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 Grzegorz Rempala.