75th Analytic Beer

Motto: Does Alena know about it?
Time and place: 4.1.1999, "Studentska" pub (5.00pm-9.00pm)

Chairman: -
Attendance: (100%) Jirka Hrdina, Ales Nekvinda, Lubos Pick, Mirko Rokyta, Jan Rehacek
Guests: Tomas Schutz

Abstract program:

  1. "3n+1 problem" - let f be a discrete dynamical system defined as f(n)=n/2 for n even and f(n)=3n+1 for n odd. The question is whether all initial conditions (positive integers) converge to the cycle 4-2-1? It is supposedly unsolved and quite difficult. (JR)
  2. Various remarks about Diophantine problems (JR, MR)
  3. Is the maximal operator from Lp(x) to Lp(x) bounded for p(x)=2+x on (0,1)? The norm in Lp(x) is defined as infimum of positive lambdas such that the integral of |f(x)|^p(x) / lambda dx < 1. (AN, LP)

Concrete program:

Pearls of the seminar:
  1. Rum, gentlemen, is quite a thing, as I have noticed (LP)
  2. I think that better way of becoming famous would be to get naked and go to the main square (JR)
Unsolved Problems: -

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