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Mathematics

D-Index
30
Citations
4273
World Ranking
3490
National Ranking
60

Research.com Recognitions

  • 2002 - Fellow of the Royal Society of Edinburgh

Overview

Ilya Molchanov is affiliated with the University of Bern in Switzerland, focusing on the field of Mathematics with a specialization in several subfields including Applied Mathematics, Statistics and Probability, Mathematical Physics, Management Science and Operations Research, and Computer Graphics and Computer-Aided Design.

Their research contributions are mainly aligned with topics such as:

  • Point processes and geometric inequalities
  • Random Matrices and Applications
  • Geometric Analysis and Curvature Flows
  • Stochastic processes and statistical mechanics
  • Fuzzy Systems and Optimization
  • Statistical Methods and Inference
  • Computational Geometry and Mesh Generation

Recent publications by Ilya Molchanov include the following papers:

  • "Depth and outliers for samples of sets and random sets distributions," 2021, Australian & New Zealand Journal of Statistics
  • "Gaussian approximation for sums of region-stabilizing scores," 2022, Electronic Journal of Probability
  • "Normal Approximation of Kabanov-Skorohod Integrals on Poisson Spaces," 2023, Journal of Theoretical Probability
  • "Strong limit theorems for empirical halfspace depth trimmed regions," 2024, Bernoulli
  • "Convex bodies generated by sublinear expectations of random vectors," 2021, Advances in Applied Mathematics

Ilya Molchanov has published extensively in recognized venues, with a frequent presence in:

  • arXiv (Cornell University), 10 publications
  • Bernoulli, 3 publications
  • Electronic Journal of Probability, 2 publications
  • Advances in Applied Probability, 2 publications
  • Australian & New Zealand Journal of Statistics, 1 publication

The scientist's collaborations include repeated coauthorships with researchers such as:

  • Alexander Marynych, 6 publications
  • Riccardo Turin, 5 publications
  • Chinmoy Bhattacharjee, 4 publications
  • Günter Last, 4 publications
  • Bojan Basrak, 3 publications

Ilya Molchanov was awarded the title of Fellow of the Royal Society of Edinburgh in 2002.

Best Publications

  • Theory of Random Sets

    Ilya S. Molchanov

  • Statistics of the Boolean Model for Practitioners and Mathematicians

    Ilya S. Molchanov

  • Sharp identification regions in models with convex moment predictions

    Arie Beresteanu;Ilya Molchanov;Francesca Molinari

  • Limit Theorems for Unions of Random Closed Sets

    Ilya S. Molchanov

  • Multivariate risks and depth-trimmed regions

    Ignacio Cascos;Ilya S. Molchanov

  • On strong laws of large numbers for random upper semicontinuous functions

    Ilya S. Molchanov

  • Partial identification using random set theory

    Arie Beresteanu;Ilya Molchanov;Francesca Molinari

  • New Perspectives in Stochastic Geometry

    Wilfrid S. Kendall;Ilya Molchanov

  • Strictly stable distributions on convex cones

    Youri Davydov;Ilya Molchanov;Sergei Zuyev

  • Averaging of Random Sets Based on Their Distance Functions

    Adrian Baddeley;Ilya Molchanov

  • A limit theorem for solutions of inequalities

    Ilya S. Molchanov

  • MULTIVARIATE RISK MEASURES: A CONSTRUCTIVE APPROACH BASED ON SELECTIONS

    Ilya Molchanov;Ignacio Cascos

  • Central limit theorem for a class of random measures associated with germ-grain models

    Lothar Heinrich;Ilya S. Molchanov

  • Statistics of the Boolean model: from the estimation of means to the estimation of distributions

    Ilya S. Molchanov

  • Convex geometry of max-stable distributions

    Ilya Molchanov

  • Empirical estimation of distribution quantiles of random closed sets

    I. S. Molchanov

  • The Law of Large Numbers in a Metric Space with a Convex Combination Operation

    Pedro Terán;Ilya Molchanov

  • Limit theorems for the diameter of a random sample in the unit ball

    Michael Mayer;Ilya Molchanov

  • Variational Analysis of Functionals of Poisson Processes

    Ilya Molchanov;Sergei Zuyev

  • Steepest descent algorithms in a space of measures

    Ilya Molchanov;Sergei Zuyev

  • Convex and star-shaped sets associated with multivariate stable distributions, I: Moments and densities

    Ilya Molchanov

  • Random Sets in Econometrics

    Ilya S. Molchanov;Francesca Molinari

  • Sharp identification regions in models with convex predictions: games, individual choice, and incomplete data

    Arie Beresteanu;Ilya Molchanov;Francesca Molinari

Frequent Co-Authors

Dietrich Stoyan
Dietrich Stoyan TU Bergakademie Freiberg
Steven N. Evans
Steven N. Evans University of California, Berkeley
Adrian Baddeley
Adrian Baddeley Curtin University
J. N. Chapman
J. N. Chapman University of Glasgow

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