mathematics

Vladas Sidoravicius

Vladas Sidoravicius 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 Vladas Sidoravicius rather than just read about it. In short: Vladas Sidoravicius (1963, Vilnius, Lithuania – 23 May 2019, Shanghai) was a Lithuanian-Brazilian mathematician, specializing in probability theory. Education and career At Vilnius University, Sidoravicius graduated in mathematics with Diplom in 1985 and Magister degree in 1986.

Key takeaways

Vladas Sidoravicius belongs to mathematics; place it in that map before memorising details.
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Reproduce the core statement of Vladas Sidoravicius from memory before moving on to harder problems.

Reference excerpt

Vladas Sidoravicius (1963, Vilnius, Lithuania – 23 May 2019, Shanghai) was a Lithuanian-Brazilian mathematician, specializing in probability theory.

Education and career At Vilnius University, Sidoravicius graduated in mathematics with Diplom in 1985 and Magister degree in 1986. At Lomonosov State University he matriculated in 1986 and received his doctoral degree in 1990 with thesis advisor Vadim Aleksandrovich Malyshev. At Heidelberg University and at Paris Dauphine University, Sidoravicius was a postdoc from 1991 to 1993. In the early 1990s he gained an international reputation for his research in probability theory. In 1993 he moved to Brazil. He became a naturalized Brazilian citizen and was a full professor at the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro from 1999 to 2015, when he moved to China. At New York University Shanghai (NYU Shanghai), he was a professor of mathematics and also served as the deputy director of NYU Shanghai's NYU-ECNU (East China Normal University) Institute of Mathematical Sciences from 2015 until his death in 2019 at age 55. Sidoravicius was the author or co-author of over 100 articles in refereed journals. He was a frequent collaborator of Harry Kesten. Their 2008 article A Shape Theory for the Spread of an Infection is particularly noteworthy. In 2014 Sidoravicius was an invited speaker at the International Congress of Mathematicians in Seoul. In 2019 the XXIII Escola Brasileira de Probabilidade (XXIII Brazilian School of Probability) was dedicated to his memory.

Selected publications

Articles Kesten, H.; Sidoravicius, V.; Zhang, Yu (1998). "Almost all words are seen in critical site percolation on the triangular lattice" (PDF). Electronic Journal of Probability. 3 (10): 1–75. doi:10.1214/EJP.v3-32. Kesten, H.; Sidoravicius, V. (2003). "Branching random walk with catalysts" (PDF). Electronic Journal of Probability. 8 (5): 1–51. doi:10.1214/EJP.v8-127. Sidoravicius, Vladas; Sznitman, Alain-Sol (2004). "Quenched invariance principles for walks on clusters of percolation or among random conductances". Probability Theory and Related Fields. 129 (2): 219–244. doi:10.1007/s00440-004-0336-0. S2CID 120061442. Kesten, Harry; Sidoravicius, Vladas (2005). "The spread of a rumor or infection in a moving population". The Annals of Probability. 33 (6): 2402–2462. arXiv:math/0312496. doi:10.1214/009117905000000413. Alexander, Kenneth S.; Sidoravicius, Vladas (2006). "Pinning of polymers and interfaces by random potentials". The Annals of Applied Probability. 16 (2): 636–669. arXiv:math/0501028. doi:10.1214/105051606000000015. Kesten, Harry; Sidoravicius, Vladas (2006). "A phase transition in a model for the spread of an infection". Illinois Journal of Mathematics. 50 (1–4): 547–634. doi:10.1215/ijm/1258059486. 2009 Sidoravicius, V.; Sznitman, A. S. (2010). "Connectivity bounds for the vacant set of random interlacements". Annales de l'Institut Henri Poincaré B. 46 (4): 976–990. arXiv:0908.2206. Bibcode:2010AIHPB..46..976S. doi:10.1214/09-AIHP335. S2CID 6853534. Ellwood, David; Newman, Charles; Sidoravicius, Vladas; Werner, Wendelin (2012). "Probability and Statistical Physics in Two and More Dimensions". Clay Mathematical Proceedings. 15. CiteSeerX 10.1.1.680.4319; XIV Brazilian School of Probability, July 11–August 7, 2010 {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)CS1 maint: postscript (link)

Books Sidoravicius, V., ed. (31 August 2009). New Trends in Mathematical Physics: Selected contributions of the XVth International Congress on Mathematical Physics. Springer Science & Business Media. ISBN 978-90-481-2810-5. Sidoravicius, V., ed. (2002). In and Out of Equilibrium: Probability with a Physics Flavor. Progress in Probability. Vol. 51. Birkhäuser Basel. pp. vii+472. doi:10.1007/978-1-4612-0063-5. ISBN 978-1-4612-6595-5. Sidoravicius, V., ed. (2019). Sojourns in Probability Theory and Statistical Physics: A Festschrift for Charles M. Newman. Proceedings in Mathematics & Statistics. Vol. (3 vols.). Springer. Vol. I. Spin Glasses and Statistical Mechanics. Vol. II. Brownian Web and Percolation. Vol. III. Interacting Particle Systems and Random Walks.

References

External links "Clay Mathematics Institute 2010 Summer School - Vladas Sidoravicius". YouTube. Instituto de Matemática Pura e Aplicada. 7 June 2018. "ICM2014 VideoSeries IL 12.11: Vladas Sidoravicius on Aug20Wed". YouTube. Seoul ICM VOD. 20 August 2014. "Random walks in growing domains - recurrence vs transience by Vladas Sidoravicius". YouTube. International Centre for Theoretical Sciences. 15 April 2019.

Worked examples

Example 1 — a first encounter with Vladas Sidoravicius

Start with the simplest possible case. Write down what Vladas Sidoravicius 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 Vladas Sidoravicius 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 Vladas Sidoravicius 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 Vladas Sidoravicius

In research: Vladas Sidoravicius 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 Vladas Sidoravicius 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: Vladas Sidoravicius is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, 2019 deaths, 20th-century Lithuanian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Vladas Sidoravicius 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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Frequently asked questions

What is Vladas Sidoravicius in simple terms?

Vladas Sidoravicius (1963, Vilnius, Lithuania – 23 May 2019, Shanghai) was a Lithuanian-Brazilian mathematician, specializing in probability theory. Education and career At Vilnius University, Sidoravicius graduated in mathematics with Diplom in 1985 and Magister degree in 1986.

Why does Vladas Sidoravicius 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 Vladas Sidoravicius?

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 Vladas Sidoravicius.