Prof. Dr. Ilya Molchanov Professor of Probability Theory / Co-director of IMSV Institute of Mathematical Statistics and Actuarial Science (IMSV) Phone +41 31 684 88 01 E-Mail ilya.molchanov@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
