Jordan Stoyanov: Probability and other branches of mathematics (Matematični kolokvij)
Datum objave: 25. 5. 2015
Seminar za verjetnost, statistiko in finančno matematiko
Četrtek, 28. 5. 2015, ob 18:15 v predavalnici 2.02 na FMF, Jadranska 21, Ljubljana
V okviru Matematičnega kolokvija bo v četrtek, 28. 5. 2015, ob 18:15 v predavalnici 2.02 predaval prof. dr. Jordan Stoyanov. Profesor Stoyanov je doktoriral na Moskovski državni univerzi, kjer je
bil njegov mentor profesor Albert Širjajev. Po doktoratu je bil
raziskovalec na Bolgarski akademiji znanosti in profesor na Univerzi v
Sofiji. Od leta 1999 do nedavne upokojitve pa je deloval na Univerzi v
Newcastlu v Veliki Britaniji. Med drugim je avtor večih knjig iz teorije
verjetnosti. Najbolj znana med njimi je Counterexamples in Probability, katere tretjo izdajo je leta 2013 izdala založba Dover Publications.
Predavanje bo splošno, namenjeno širšemu krogu matematikov. Vabljeni!
Povzetek predavanja:
This lecture will be addressed to a wide audience: from undergraduate
and graduate students in Mathematics, Statistics, Physics and Computer
Science, MSc and PhD students in these areas, to professionals. It will
be shown that diverse and intriguing problems from branches of
Mathematics such as Analysis, Combinatorics, Functions, Number Theory
can be solved elegantly by using ideas and techniques from Probability.
Sometime these are the only available solutions. A few of the topics
listed below will be discussed in detail:
- Combinatorial and algebraic identities.
- Casino numbers. They are infinitely many.
- Bernoulli LLN and Weierstrass theorem by Bernstein polynomials.
- Old Uspensky’s problem and its far extensions.
- Buridan Donkey story. Random walk in random environment.
- Many ways to interpret and solve the equation X + Y = XY.
- Values of the Riemann zeta functions via Cauchy distribution.
- Probability in other areas of Mathematics, a few exercises, one unsolved problem.
Questions/comments/suggestions from the audience during the lecture are very welcome!
