Prof. Dr. Ilya Molchanov

Professor für Wahrscheinlichkeitstheorie / Studienleitung Statistik / Geschäftsführender Institutsleiter

Institut für Mathematische Statistik und Versicherungslehre (IMSV)

Telefon
+41 31 631 88 01
E-Mail
ilya.molchanov@stat.unibe.ch
Büro
-110
Postadresse
Alpeneggstrasse 22
3012 Bern
Sprechstunde
please contact by e-mail
  • random sets (distributions, statistics, limit theorems, applications)
  • stochastic geometry
  • multivalued functions
  • extreme values
  • applications of stochastic geometry to
    mathematical finance and econometrics
  • multivariate stable laws and
    stable laws on abstract structures
  • point processes
  • image processing
  • mathematical morphology

Some corrections to the second edition:

  • Example 1.1.10: The conclusion is correct under additional assumption that K is connected (noticed by Samopriya Basu).
  • Proposition 1.1.53: Here the family K_0 should also contain unions of all relatively compact sets from the base of topology, e.g. union of balls in Euclidean space. (Correction provided by Daniel Hug).
  • Theorem 1.4.25 was cited from Teran [834]. The author informed me that later that M.Dumav and M.Stinchcombe (Proc. Amer. Math. Soc., 2016) provided a counterexample. Still it is not clear what is a gap in the proof by Teran [834].
  • Theorem 3.1.31 was cited from Teran [841]. The author informed that this result holds only assuming that the dual space is separable.

Minor misprints

  • p.468, line 2: In the second line of Example 5.1.29 x should be replaced by t.

Editorial

Membership in scientific societies

  • Member: Bernoulli Socienty, Institute of Mathematical Statistics, Swiss Mathematical Society, London Mathematical Society
  • Fellow of the Royal Society of Edinburgh