Applied probability theory, stochastic processes and complex systems, statistical mechanics
- Stochastic particle systems
theory and applications in complex systems such as population dynamics, genetic evolution, traffic modeling
- Nonequilibrium phase transitions
equivalence of ensembles and connections to relative entropy and large deviations
- Scaling limits
derivation of the large scale dynamics or the critical behaviour of stochastic particle systems
Selected recent publications:
Armendariz, I, Grosskinsky, S, Loulakis, M, Zero Range Condensation at Criticality, Stoch. Proc. Appl. 123(9), (2013) 3466-3496.
Grosskinsky, S, Redig, F, Vafayi, K, Dynamics of condensation in the symmetric inclusion process, Electron. J. Probab. 18, no. 66, (2013) 1–23 .
Grabow, C, Grosskinsky, S, Timme, M, Small-world network spectra in mean field theory, Phys. Rev. Lett. 108(21), (2012) 218701.
Grosskinsky, S, Redig, F, Vafayi, K, Condensation in the inclusion process and related models, J. Stat. Phys. 142(5), (2011) 952-974 .
C. Grabow, S. Hill, S. Grosskinsky, M. Timme, Do Small Worlds Synchronize Fastest?, Europhysics Letters 90, 48002 (2010).
Grosskinsky, S, Equivalence of ensembles for two-species zero-range invariant measures in case of condensation, Stochastic Processes and their Applications 118(8), (2008) 1322-1350.
Grosskinsky, S, Schütz, G M and Willmann, R D, Dynamical origin of spontaneous symmetry breaking in a field-driven nonequilibrium system, Europhysics Letters 71, (2005) 542-548.
Grosskinsky, S, Schütz, G M and Spohn, H, Condensation in the Zero Range Process: Stationary and Dynamical Properties, Journal of Statistical Physics 113, (2003) 389-410.
Grosskinsky, S, Naundorf, B and Timme, M, Universal Attractors of Reversible Aggregate-Reorganization Processes, Physical Review Letters 88, (2002) 245501:1-4.
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