Mathematical and Statistical Modeling

About the research group

The three areas of interest of the Mathematical and Statistical Modeling Research Group are mathematics, financial mathematics, and statistics. The group examines these fields particularly from the perspectives of mathematical and statistical modeling.

The members of the research group include professors, postdoctoral researchers, and doctoral students. The group actively collaborates with many Finnish and international universities, scientific research institutes, and other organizations. Group members publish their research primarily in international scientific journals, including leading journals in their fields such as Bernoulli, Journal of Functional Analysis, Journal für die Reine und Angewandte Mathematik, Mathematische Annalen, Review of Financial Studies, and Stochastic Processes and their Applications.

Research themes:

Mathematics

Algebraic curves and function fields over finite fields
Algebraic number theory, character sums over finite fields
Algebraic coding theory, cyclic codes and algebraic geometry codes
Bounded and unbounded operators in Hilbert, Pontryagin and Krein spaces
Boundary value problems, moment problems, interpolation problems
Boundary triple and boundary pair techniques
Classes of complex functions and their representations
Lebesgue type decompositions for forms and linear operators
Mathematical system theory in infinite-dimensional spaces
Realization theory for discrete and continuous time systems
Reproducing kernel spaces in Hilbert and Pontryagin space setting
Semibounded and sectorial forms and their representations
Spectral theory and associated complex functions
Weyl functions, transfer functions and their realizations

Business mathematics

Financial engineering
Fractional Brownian motion
Gaussian processes
Mathematical finance
Statistics of stochastic processes
Stochastic analysis
Volterra processes

Statistics

Financial econometrics and time series
Financial event study methodology
Multivariate statistics
Non-parametric statistics
Structural equation models

Latest updates

Dissertation 11.11.2025

Decades-old mathematical theorem extended to unbounded linear systems for the first time

Dissertation 28.11.2024

Mathematical models can help traders secure their investments through stock market fluctuations

Better treatment decisions through statistical methods

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Publications

Publication year	Publication	Authors
2025	Representing maps for semibounded forms and their Lebesgue-type decompositions	Hassi, S.; de Snoo, H. S. V.
2025	Gatheral double stochastic volatility model with Skorokhod reflection	Mishura, Yuliya; Pilipenko, Andrey; Ralchenko, Kostiantyn
2025	Trends in the incidence of attention deficit hyperactivity disorder in children and early risk factors	Leppänen, Marika; Vuori, Miika; Pape, Bernd; Kaittila, Anniina; Kraav, Siiri‐Liisi; Tolmunen, Tommi; Anis, Merja; Karukivi, Max; Rautava, Päivi
2025	Local Spectral Theory for Unbounded Product of Nonnegative Selfadjoint Operators	Barkaoui, Yosra; Hassi, Seppo
2025	Ando’s Lebesgue-Type Decompositions for Pairs of Positive Operators	Hassi, Seppo; S. V. de Snoo, Henk
2025	Nonorthogonal Hilbert Space Decompositions with Operator Range Spaces and Reproducing Kernel Hilbert Spaces	Hassi, S.; de Snoo, H. S. V.
2025	Cospectral Trees Indistinguishable by Scattering	Pistol, Mats-Erik; Pivovarchik, Vyacheslav
2025	Fractional Gaussian Noise: Projections, Prediction, Norms	Bodnarchuk, Iryna; Mishura, Yuliya; Ralchenko, Kostiantyn
2025	Discretization of integrals driven by multifractional Brownian motions with discontinuous integrands	Ralchenko, Kostiantyn; Shokrollahi, Foad; Sottinen, Tommi
2025	Entropies of the Poisson Distribution as Functions of Intensity: “Normal” and “Anomalous” Behavior	Finkelshtein, Dmitri; Malyarenko, Anatoliy; Mishura, Yuliya; Ralchenko, Kostiantyn