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Lage Science Park 2

Das Institut für Stochastik befindet sich im Science Park 2, 6. Stockwerk ...  mehr zu Anfahrtsplan (Titel)


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Martin Riedler

Dr. Martin Riedler

Dr. Martin Riedler (Zum Team)
Univ.-Assistent

n/a
Tel.: n/a
martin.riedler(/\t)jku.at

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Studien in Vorbereitung

  1. On the existence and stability of stochastic stationary solutions to neural field equations with additive noise
  2. Weak error analysis of the Theta-method for Stochastic Hybrid Systems

Preprints

  1. Strong Error Analysis of the Theta-Method for Stochastic Hybrid Systems (mit G.Notarangelo). arXiv:1310.0392, 25 Seiten, 2013. arXiv
  2. Large Deviations for Nonlocal Stochastic Neural Fields (mit C.Kuehn). arXiv:1302.5616, 29 Seiten, 2013. arXiv (zur Publikation im Journal of Mathematical Neuroscience angenommen)
  3. Spatio-Temporal Hybrid (PDMP) Models: Central Limit Theorem and Langevin Approximation for Global Fluctuations. Application to Electrophysiology (mit M.Thieullen). arXiv:1304.5651, 40 Seiten, 2013. arXiv (zur Publikation im Bernoulli Journal angenommen)

Publikationstyp: Aufsatz / Paper in SCI-Expanded-Zeitschrift

Riedler M., Buckwar E.
Laws of large numbers and Langevin approximations for stochastic neural field equations, in: Journal of Mathematical Neuroscience, Volume 3, Number 1, 2013.
Riedler M.
Almost sure convergence of numerical approximations for Piecewise Deterministic Markov Processes, in: Journal of Computational and Applied Mathematics, Volume 239, Page(s) 50-71, 2012.
Riedler M., Thieullen M., Wainrib G.
Limit theorems for infinite-dimensional piecewise deterministic Markov processes. Applications to stochastic excitable membrane models, in: Electronic Journal of Probability, Volume 17, Number 55, 2012.
Buckwar E., Riedler M.
An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution, in: Journal of Mathematical Biology, Volume 63, Number 6, Page(s) 1051-1093, 2011.
Buckwar E., Riedler M.
Runge-Kutta methods for jump-diffusion differential equations, in: Journal of Computational and Applied Mathematics, Volume 236, Number 6, Page(s) 1155-1182, 2011.
Buckwar E., Kloeden P., Riedler M.
The numerical stability of stochastic ordinary differential equations with additive noise, in: Stochastics and Dynamics, Volume 11, Number 2-3, Page(s) 265-281, 2011.

Publikationstyp: Aufsatz / Paper in Tagungsband (nicht-referiert)

Riedler M.
Approximation of Stochastic Hybrid Systems, in: Oberwolfach Report No 40/2011: Mini-Workshop Dynamics of Stochastic Systems and their Approximation, Series Oberwolfach Reports, European Mathematical Society, 2011.

Publikationstyp: Dissertation

Riedler M.
Spatio-temporal Stochastic Hybrid Models of Biological Excitable Membranes, 300 page(s), 2011.

Publikationstyp: Diplom- oder Masterarbeit

Riedler M.
Numerical methods for the approximation of strong solutions of stochastic differential equations of jump type, 129 page(s), 2008.