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Yuri Kondratiev
Researcher at Bielefeld University
Publications - 246
Citations - 3691
Yuri Kondratiev is an academic researcher from Bielefeld University. The author has contributed to research in topics: Gibbs measure & Markov chain. The author has an hindex of 30, co-authored 238 publications receiving 3458 citations. Previous affiliations of Yuri Kondratiev include Pedagogical University & University of Madeira.
Papers
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Harmonic analysis on configuration space i: general theory
Yuri Kondratiev,Tobias Kuna +1 more
TL;DR: In this paper, a combinatorial version of harmonic analysis on configuration spaces over Riemannian manifolds is developed based on the use of a lifting operator which can be considered as a kind of (combinatorial) Fourier transform in the configuration space analysis.
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Generalized Functionals in Gaussian Spaces: The Characterization Theorem Revisited☆
TL;DR: Gel'fand triples of test and generalized functionals in Gaussian spaces were constructed and characterized in this article, where the triples were constructed from test functions and generalized functions.
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Correlation functions and invariant measures in continuous contact model
TL;DR: In this paper, the continuous version of the contact model is studied using an analytic approach, and the non-equilibrium contact process is constructed as a Markov process on configuration space.
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Semigroup approach to birth-and-death stochastic dynamics in continuum
TL;DR: In this paper, the authors describe a general approach to the construction of a state evolution corresponding to the Markov generator of a spatial birth-and-death dynamics in R d, and present conditions on the birth and death intensities which are sufficient for the existence of an evolution as a strongly continuous semigroup in a proper Banach space of correlation functions satisfying the Ruelle bound.
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Wick calculus in Gaussian analysis
TL;DR: In this article, an extension of the distribution spaces conventionally used in Gaussian analysis is defined, characterized by analytic properties of S-transforms, allowing for a calculus based on the Wick product.