Dr Tobias Kuna
Associate Professor
Department of Mathematics and Statistics
University of Reading
United Kingdom
Biography
Dr. Tobias Kuna is currently working as a Associate Professor in the Department of Mathematics ans Statistics, University of Reading , United Kingdom. His research interests includes Realizability of correlation functions via random particle systems and applications to heterogeneous systems Representability of reduced density matrices and calculation of ground state energies. Infinite dimensional non-linear truncated moment problems Phase transition of classical and quantum systems of particles in the continuum with Kac-potentials, Metastability of infinite spin-systems Birth, death and jump type dynamics of infinite particle systems and hierarchies of correlation functions Spectral properties of generators of equilibrium birth and death dynamics of infinite particle systems Representation theory of infinite groups, particle systems and non-relativistic current algebras. Feynman-Integrals, rigorous results Infinite dimensional stochastic analysis.
Research Interest
Realizability of correlation functions via random particle systems and applications to heterogeneous systems Representability of reduced density matrices and calculation of ground state energies. Infinite dimensional non-linear truncated moment problems Phase transition of classical and quantum systems of particles in the continuum with Kac-potentials, Metastability of infinite spin-systems Birth, death and jump type dynamics of infinite particle systems and hierarchies of correlation functions Spectral properties of generators of equilibrium birth and death dynamics of infinite particle systems Representation theory of infinite groups, particle systems and non-relativistic current algebras. Feynman-Integrals, rigorous results Infinite dimensional stochastic analysis
Publications
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Kuna T, Lebowitz JL, Speer ER. Necessary and sufficient conditions for realizability of point processes. The Annals of Applied Probability. 2011;21(4):1253-81.
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Kondratiev YG, Kuna T, Oliveira MJ, da Silva JL, Streit L. Hydrodynamic limits for the free Kawasaki dynamics of continuous particle systems. arXiv preprint arXiv:0912.1312. 2009 Dec 7.
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Baladi V, Kuna T, Lucarini V. Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables. Nonlinearity. 2017 Feb 8;30(3):1204.
