Tobias Kuna
-
+44 (0) 118 378 6028
-
Associate Professor
- ICMA Liaison
- Deputy Programme Director NUIST
- Magic Coordinator
Office
Room 311Building location
MathematicsAreas of 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
Teaching
Research centres and groups
Websites/blogs
Publications
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Carigi, G.
ORCID: 0000-0001-7611-8230
,
Bröcker, J.
,
Kuna, T.
(2023)
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model.
Stochastics and Dynamics
, 23
(2).
ISSN:
1793-6799
|
doi:
https://dx.doi.org/10.1142/S0219493723500119
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Jansen, S.
ORCID: 0000-0002-9611-0356
,
Kuna, T.
ORCID: 0000-0002-3933-5903
,
Tsagkarogiannis, D.
ORCID: 0000-0001-5780-9095
(2023)
Virial inversion and density functionals.
Journal of Functional Analysis
, 284
(1).
ISSN:
0022-1236
|
doi:
https://dx.doi.org/10.1016/j.jfa.2022.109731
- Jansen, S. , Kuna, T. , Tsagkarogiannis, D. (2021) Lagrange inversion and combinatorial species with uncountable color palette. Annales Henri Poincare , 22 pp. 1499-1534. ISSN: 1424-0661 | doi: https://dx.doi.org/10.1007/s00023-020-01013-0
- Infusino, M. and Kuna, T. (2020) The full moment problem on subsets of probabilities and point configurations. Journal of Mathematical Analysis and Applications , 483 (1). pp 0. ISSN: 0022-247X | doi: https://dx.doi.org/10.1016/j.jmaa.2019.123551
- Cullen, M. , Kuna, T. , Pelloni, B. , Wilkinson, M. (2019) The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 475 (2229). pp 1. ISSN: 1471-2946 | doi: https://dx.doi.org/10.1098/rspa.2018.0787
- Prettyman, J. , Kuna, T. , Livina, V. (2019) Generalized early warning signals in multivariate and gridded data with an application to tropical cyclones. Chaos: An Interdisciplinary Journal of Nonlinear Science , 29 (7). pp 1. ISSN: 1089-7682 | doi: https://dx.doi.org/10.1063/1.5093495
- Oljača, L. , Bröcker, J. , Kuna, T. (2018) Almost sure error bounds for data assimilation in dissipative systems with unbounded observation noise. SIAM Journal on Applied Dynamical Systems , 17 (4). pp. 2882-2914. ISSN: 1536-0040 | doi: https://dx.doi.org/10.1137/17M1162305
- Bożejko, M. , da Silva, J. , Kuna, T. , Lytvynov, E. (2018) Approximation of a free Poisson process by systems of freely independent particles. Infinite Dimensional Analysis, Quantum Probability and Related Topics , 21 (3). ISSN: 1793-6306 | doi: https://dx.doi.org/10.1142/s0219025718500200
- Prettyman, J. , Kuna, T. , Livina, V. (2018) A novel scaling indicator of early warning signals helps anticipate tropical cyclones. Europhysics Letters , 121 (1). ISSN: 0295-5075 | doi: https://dx.doi.org/10.1209/0295-5075/121/10002
- Kuna, T. and Tsagkarogiannis, D. (2018) Convergence of density expansions of correlation functions and the Ornstein-Zernike equation. Annales Henri Poincare , 19 (4). pp. 1115-1150. ISSN: 1424-0661 | doi: https://dx.doi.org/10.1007/s00023-018-0655-9
- Baladi, V. , Kuna, T. , Lucarini, V. (2017) Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables. Nonlinearity , 30 (3). ISSN: 1361-6544 | doi: https://dx.doi.org/10.1088/1361-6544/aa5b13
- Infusino, M. , Kuna, T. , Lebowitz, J. , Speer, E. (2017) The truncated moment problem on N0. Journal of Mathematical Analysis and Applications , 452 (1). pp. 443-468. ISSN: 0022-247X | doi: https://dx.doi.org/10.1016/j.jmaa.2017.02.060
- Goldstein, S. , Kuna, T. , Lebowitz, J. , Speer, E. (2017) Translation invariant extensions of finite volume measures. Journal of Statistical Physics , 166 (3-4). pp. 765-782. ISSN: 0022-4715 | doi: https://dx.doi.org/10.1007/s10955-016-1595-8
- Kuna, T. , Caglioti, E. , Infusino, M. (2016) Translation invariant realizability problem on the d-dimensional lattice: an explicit construction. Electronic Communications in Probability , 21 ISSN: 1083-589X | doi: https://dx.doi.org/10.1214/16-ECP4620
- Lucarini, V. , Faranda, D. , Freitas, A. , Freitas, J. , Holland, M. , Kuna, T. , Nicol, M. , Todd, M. , Vaienti, S. , eds. (2016) Extremes and recurrence in dynamical systems. Pure and applied mathematics: a Wiley series of texts, monographs, and tracts Wiley , Chichester. pp 312. ISBN: 9781118632192 | doi: https://dx.doi.org/10.1002/9781118632321
- Kondratiev, Y. , Kuna, T. , Lytvynov, E. (2015) A moment problem for random discrete measures. Stochastic Processes and their Applications , 125 (9). pp. 3541-3569. ISSN: 0304-4149 | doi: https://dx.doi.org/10.1016/j.spa.2015.03.007
- Infusino, M. , Kuna, T. , Rota, A. (2014) The full infinite dimensional moment problem on semi-algebraic sets of generalized functions. Journal of Functional Analysis , 267 (5). pp. 1382-1418. ISSN: 0022-1236 | doi: https://dx.doi.org/10.1016/j.jfa.2014.06.012
- Lucarini, V. , Faranda, D. , Wouters, J. , Kuna, T. (2014) Towards a general theory of extremes for observables of chaotic dynamical systems. Journal of Statistical Physics , 154 (3). pp. 723-750. ISSN: 0022-4715 | doi: https://dx.doi.org/10.1007/s10955-013-0914-6
- Kondratiev, Y. , Kuna, T. , Ohlerich, N. (2013) Spectral gap for Glauber type dynamics for a special class of potentials. Electronic Journal of Probability , 18 ISSN: 1083-6489 | doi: https://dx.doi.org/10.1214/EJP.v18-2260
- Da Silva, J. and Kuna, T. (2012) Decay to equilibrium for jump processes with heavy tails. International Journal of Modern Physics: Conference Series , 17 pp. 130-139. ISSN: 2010-1945 | doi: https://dx.doi.org/10.1142/S2010194512008021
- Conrad, F. and Kuna, T. (2012) A note on an integration by parts formula for the generators of uniform translations on configuration space. Infinite Dimensional Analysis, Quantum Probability and Related Topics , 15 (4). ISSN: 0219-0257 | doi: https://dx.doi.org/10.1142/S0219025712500282
- Lucarini, V. , Kuna, T. , Wouters, J. , Faranda, D. (2012) Relevance of sampling schemes in light of Ruelle's linear response theory. Nonlinearity , 25 (5). pp. 1311. ISSN: 1361-6544 | doi: https://dx.doi.org/10.1088/0951-7715/25/5/1311
- Kuna, T. , Lebowitz, J. , Speer, E. (2011) Necessary and sufficient conditions for realizability of point processes. Annals of Applied Probability , 21 (4). pp. 1253-1281. ISSN: 1050-5164 | doi: https://dx.doi.org/10.1214/10-AAP703
- Kondratiev, Y. , Kuna, T. , Oliveira, M. (2008) Extension of explicit formulas in Poissonian white noise analysis using harmonic analysis on configuration spaces. Condensed Matter Physics , 11 (2). pp. 237-246. ISSN: 1607-324X
- Kondratiev, Y. , Kuna, T. , Ohlerich, N. (2008) Selection-mutation balance models with epistatic selection. Condensed Matter Physics , 11 (2). pp. 283-291. ISSN: 1607-324X
- Kuna, T. and Streit, L. (2007) The representation of conditional expectations of non-Gaussian noise. Communications on Stochastic Analysis , 1 (1). pp. 49-56. ISSN: ISSN 0973-9599
- Kuna, T. , Lebowitz, J. , Speer, E. (2007) Realizability of Point Processes. Journal of Statistical Physics , 129 (3). pp. 417-439. ISSN: 0022-4715 | doi: https://dx.doi.org/10.1007/s10955-007-9393-y