mathematics

Mark Pinsker

Mark Pinsker 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 Mark Pinsker rather than just read about it. In short: Mark Semenovich Pinsker (Russian: Марк Семено́вич Пи́нскер; April 24, 1925 – December 23, 2003) or Mark Shlemovich Pinsker (Russian: Марк Шлемо́вич Пи́нскер) was a noted Russian mathematician in the fields of information theory, probability theory, coding theory, ergodic theory, mathematical statistics, and communication networks. Pinsker studied stochastic processes under A.

Key takeaways

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

Reference excerpt

Mark Semenovich Pinsker (Russian: Марк Семено́вич Пи́нскер; April 24, 1925 – December 23, 2003) or Mark Shlemovich Pinsker (Russian: Марк Шлемо́вич Пи́нскер) was a noted Russian mathematician in the fields of information theory, probability theory, coding theory, ergodic theory, mathematical statistics, and communication networks. Pinsker studied stochastic processes under A. N. Kolmogorov in the 1950s, and later worked at the Institute for Information Transmission Problems (IITP), Russian Academy of Sciences, Moscow. His accomplishments included a classic paper on the entropy theory of dynamical systems which introduced the maximal partition with zero entropy, later known as Pinsker's partition. His work in mathematical statistics was devoted mostly to the applications of information theory, including asymptotically sufficient statistics for parameter estimation and nonparametric estimation; Pinsker's inequality is named after him. He also produced notable results in the theory of switching networks and complexity problems in coding theory. Pinsker received the IEEE Claude E. Shannon Award in 1978, and the IEEE Richard W. Hamming Medal in 1996.

Selected works "Theory of curves in Hilbert space with stationary increments of order " Izv. Akad. Nauk SSSR Ser. Mat., 19, 1955. "Динамические системы с вполне положительной и нулевой энтропией" [Dynamical systems with completely positive and zero entropy]. Doklady Akademii Nauk SSSR. 133 (5): 1025–1026. 1960. Information and information stability of random variables and processes, translated and edited by Amiel Feinstein, Holden-Day, San Francisco, 1964. L. A. Bassalygo and M. S. Pinsker, "The complexity of an optimal non-blocking commutation scheme without reorganization", Problemy Peredaci Informacii, 9(1):84–87, 1973. Translated into English in Problems of Information Transmission, 9 (1974) 64-66. M. S. Pinsker. "On the complexity of a concentrator", 7th International Teletraffic Conference, pages 318/1-318/4, 1973. "Estimation of error-correction complexity of Gallager low-density codes", Problems of Information Transmission, 11:18—28, 1976. "Reflections of Some Shannon Lecturers".

Notes

References "Review of Scientific Achievements of M. S. Pinsker", Problems of Information Transmission (translation of Problemy Peredachi Informatsii), Volume 32, Number 1, January–March, 1996, pages 3–14.

External links "Mark Semenovich Pinsker. In Memoriam", Problems of Information Transmission, MAIK Nauka/Interperiodica, Volume 40, Number 1 / January, 2004, pages 1–4. ISSN 0032-9460. English version Ramesh Rao. "Mark Semenovich Pinsker - On his 70th Birthday", IEEE Information Theory Society Newsletter, September 1995. Sasha Barg. "In Memoriam - Mark Semënovich Pinsker", IEEE Information Theory Society Newsletter, Volume 54, Number 3, September 2004. Pinsker Marks Shlemovich (1925–2003) author page at Math-Net.ru "Reflections of Some Shannon Lecturers" Mark Pinsker at the Mathematics Genealogy Project

Illustrations

Worked examples

Example 1 — a first encounter with Mark Pinsker

Start with the simplest possible case. Write down what Mark Pinsker 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 Mark Pinsker 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 Mark Pinsker 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 Mark Pinsker

In research: Mark Pinsker 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 Mark Pinsker 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: Mark Pinsker is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1925 births, 2003 deaths, 20th-century statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Mark Pinsker 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 Mark Pinsker in 20 minutes

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

Frequently asked questions

What is Mark Pinsker in simple terms?

Why does Mark Pinsker 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 Mark Pinsker?

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 Mark Pinsker.