
Prof. Dr. Ilya Molchanov
Professor of Probability Theory / Director of studies in Statistics / Director of IMSV
Institute of Mathematical Statistics and Actuarial Science (IMSV)
- Phone
- +41 31 631 88 01
- ilya.molchanov@stat.unibe.ch
- Office
- -110
- Postal Address
- Alpeneggstrasse 22
CH-3012 Bern - Consultation Hour
- please contact by e-mail
Research Interests
- 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
Theory of Random Sets
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 Activities and Memberships
Editorial
- Coordinating editor: Applied Probability Journals (from 2004).
- Associate editor: Bernoulli (from 2013)
- Associate editor: Stochastic Processes and Their Applications (from 2016)
- In the past, Associate editor Journal of Statistical Computation and Simulation (1999-2014)
- In the past, Associate Editor: Image Analysis and Stereology and Metrika,
Membership in scientific societies
- Member: Bernoulli Socienty, Institute of Mathematical Statistics, Swiss Mathematical Society, London Mathematical Society
- Fellow of the Royal Society of Edinburgh
Coauthors
- Adrian BADDELEY
- Arie BERESTEANU
- Ignacio CASCOS
- John N. CHAPMAN
- Sung Nok CHIU
- Youri DAVYDOV
- Steve EVANS
- Nial FRIEL
- Konstantin FYODOROV
- David GINSBOURGER
- Peter HALL
- Andreas HAIER
- Henk J.A.M. HEIJMANS
- Lothar HEINRICH
- Graham HORGAN
- Juergen KAMPF
- Katya KAVAL
- Wilfrid KENDALL
- Chris KOPP
- Stephan KÖTZER
- Evgeni KOZAROVITZKY
- Raphael LACHIEZE-REY
- Günter LAST
- Emmanuel LEPINETTE
- Marie-Colette van LIESHOUT
- Anil MANCHAM
- Michael MAYER
- Francesca MOLINARI
- Tomas MRKVICKA
- Edward OMEY
- Kostyantin RALCHENKO
- Malcolm QUINE
- Michael SCHMUTZ
- Vadim SHCHERBAKOV
- Kaspar STUCKI
- Pedro TERAN
- Dietrich STOYAN
- Kaspar STUCKI
- D. Michael TITTERINGTON
- Nikolay TONTCHEV
- Iain WEIR
- Florian WESPI
- Sergei ZUYEV