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Joel Lebowitz

Joel Lebowitz 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 Joel Lebowitz rather than just read about it. In short: Joel Louis Lebowitz (born May 10, 1930) is a mathematical physicist known for his contributions to statistical physics, statistical mechanics, and many other fields of mathematics and physics. He is a founding editor of the Journal of Statistical Physics and has served as president of the New York Academy of Sciences.

Joel Lebowitz — main illustration
Joel Lebowitz — illustration

Key takeaways

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

Reference excerpt

Joel Louis Lebowitz (born May 10, 1930) is a mathematical physicist known for his contributions to statistical physics, statistical mechanics, and many other fields of mathematics and physics. He is a founding editor of the Journal of Statistical Physics and has served as president of the New York Academy of Sciences. Lebowitz is the George William Hill Professor of Mathematics and Physics at Rutgers University. He is also an active member of the human rights community and a co-chair of the Committee of Concerned Scientists.

Biography Lebowitz was born in 1930 to a Jewish family in Taceva, Czechoslovakia (now Ukraine). During World War II he was deported with his family to Auschwitz, where his father, his mother, and his younger sister were murdered in 1944, victims of the Holocaust. After being liberated from the camp, he emigrated to the United States by boat, where he studied at an Orthodox Jewish school and Brooklyn College. He earned his PhD at Syracuse University in 1956 under the supervision of Peter G. Bergmann. He then continued his research with Lars Onsager, at Yale University, where he attained a faculty position. He moved to the Stevens Institute of Technology in Hoboken, New Jersey in 1957 and to the Belfer Graduate School of Science at Yeshiva University in New York City in 1959. Finally, he received a faculty position at Rutgers University in 1977, where he holds the George William Hill Professor position. During his time at the Yeshiva University and Rutgers University, he has been in contact with several scientists, and artists, like Fumio Yoshimura and Kate Millett. In 1975 he founded the Journal of Statistical Physics. In 1979 he was president of the New York Academy of Sciences. He has been one of the most active supporters of dissident scientists in the former Soviet Union, especially refusenik scientists.

Scientific legacy Along with Elliott Lieb, Lebowitz proved that the Coulomb interactions obey the thermodynamic limit. He also established what are now known as Lebowitz inequalities for the ferromagnetic Ising model. His current research interests lie in non-equilibrium statistical mechanics. He became editor-in-chief of the Journal of Statistical Physics in 1975, and held the position until September 2018. Lebowitz hosts a biannual series of conferences, first at Yeshiva University and later at Rutgers University, which has been running for 60 years. He is also known as a co-editor of an influential review series, Phase Transitions and Critical Phenomena.

Awards and honors Lebowitz has been awarded: the Boltzmann Medal (1992); the Nicholson Medal (2004) awarded by the American Physical Society; the Delmer S. Fahrney Medal (1995); the Henri Poincaré Prize (2000); the Volterra Award (2001); and the Heineman Prize for Mathematical Physics (2021) "for seminal contributions to nonequilibrium and equilibrium statistical mechanics, in particular, studies of large deviations in nonequilibrium steady states and rigorous analysis of Gibbs equilibrium ensembles." Lebowitz was awarded the Max Planck Medal in 2007, "for his important contributions to the statistical physics of equilibrium and non-equilibrium systems, in particular his contributions to the theory of phase transitions, the dynamics of infinite systems, and the stationary non-equilibrium states" and "for his promoting of new directions of this field at its farthest front, and for enthusiastically introducing several generations of scientists to the field." In 2014 he received the Grande Médaille of the French Academy of Sciences. In 2022, he was awarded the Dirac Medal of the ICTP. Lebowitz is a member of the United States National Academy of Sciences. In 1966, he became a fellow of the American Physical Society and in 2012, he became a fellow of the American Mathematical Society. He received an honorary DS degree at Syracuse University's 158th Commencement in 2012.

References

External links Joel Lebowitz on INSPIRE-HEP

Official website Laudatio for Joel L. Lebowitz by David Ruelle (IHES, Paris) at the Poincaré Prize Ceremony (2000) Joel Lebowitz at the Mathematics Genealogy Project "Oral History Interview: Joel Lebowitz". American Institute of Physics. March 21, 2023. Retrieved November 29, 2023.

Illustrations

Joel Lebowitz illustration
Joel Lebowitz: Lebowitz (left) and Mitchell Feigenbaum (right) (1998)
Lebowitz (left) and Mitchell Feigenbaum (right) (1998)

Worked examples

Example 1 — a first encounter with Joel Lebowitz

Start with the simplest possible case. Write down what Joel Lebowitz 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 Joel Lebowitz 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 Joel Lebowitz 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 Joel Lebowitz

In research
Joel Lebowitz 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 Joel Lebowitz 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
Joel Lebowitz is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1930 births, 20th-century American mathematicians, American people of Ukrainian-Jewish descent, so understanding it makes those chapters shorter.
In everyday life
Look for Joel Lebowitz 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 Joel Lebowitz in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Joel Lebowitz means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Joel Lebowitz out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Joel Lebowitz in simple terms?

Joel Louis Lebowitz (born May 10, 1930) is a mathematical physicist known for his contributions to statistical physics, statistical mechanics, and many other fields of mathematics and physics. He is a founding editor of the Journal of Statistical Physics and has served as president of the New York…

Why does Joel Lebowitz 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 Joel Lebowitz?

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 Joel Lebowitz.

Tags

  • 1930 births
  • 20th-century American mathematicians
  • American people of Ukrainian-Jewish descent
  • Auschwitz concentration camp survivors
  • Brooklyn College alumni
  • Fellows of the American Mathematical Society
  • Fellows of the American Physical Society
  • Living people
  • Mathematical physicists
  • Members of the United States National Academy of Sciences
  • Recipients of the Boltzmann Medal
  • Rutgers University faculty

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