all publications on arXiv and Google Scholar

• P. Chleboun, S. Gabriel, S. Grosskinsky. Size-biased diffusion limits and the inclusion process, submitted
• T. Gottfried, S. Grosskinsky. Asymptotics of generalized Pólya urns with non-linear feedback, submitted
• P. Chleboun, S. Gabriel, S. Grosskinsky. Poisson-Dirichlet asymptotics in condensing particle systems, Electron. J. Probab. 27: 1-35 (2022)
• S. Forbes, S. Grosskinsky. A Study of UK Household Wealth through Empirical Analysis and a Non-linear Kesten Process, PLoS ONE 17(8): e027286 (2022)
• L. Angeli, S. Grosskinsky, A.M. Johansen. Limit theorems for cloning algorithms, Stoch. Proc. Appl. 138, 117-152 (2021)
• W. Jatuviriyapornchai, P. Chleboun, S. Grosskinsky, Structure of the condensed phase in the inclusion process, J. Stat. Phys 178, 682-710 (2020)
• L. Angeli, S. Grosskinsky, A.M. Johansen, A. Pizzoferrato. Rare event simulation for stochastic dynamics in continuous time, J. Stat. Phys. 176(5), 1185-1210 (2019)
• W. Jatuviriyapornchai, S. Grosskinsky, Derivation of mean-field equations for stochastic particle systems, Stoch. Proc. Appl. 129(4), 1455-1475 (2019)
• P. Chleboun, S. Grosskinsky, A. Pizzoferrato. Current large deviations for partially asymmetric particle systems on a ring, J. Phys. A: Math. Theor. 51, 405001 (2018)
• T. Rafferty, P. Chleboun, S. Grosskinsky. Monotonicity and Condensation in Homogeneous Stochastic Particle Systems, Ann. I. H. Poincare 54(2), 790–818 (2018)
• P. Chleboun, S. Grosskinsky, A. Pizzoferrato. Lower current large deviations for zero-range processes on a ring, J. Stat. Phys. 167(1), 64–89 (2017)
• I. Armendariz, S. Grosskinsky, M. Loulakis, Metastability in a condensing zero-range process in the thermodynamic limit, Probab. Theory Relat. Fields 169 (1–2), 105-175 (2017)
• S. Grosskinsky, D. Marahrens, A. Stevens, A hydrodynamic limit for chemotaxis in a given heterogeneous environment, Vietnam J. Math. 45(1), 127-152 (2017)
• W. Jatuviriyapornchai, S. Grosskinsky, Coarsening dynamics in condensing zero-range processes, J. Phys. A: Math. Theor. 49(18), 185005 (2016), chosen for IOP Select
• Y.-X. Chau, C. Connaughton, S. Grosskinsky, Explosive condensation in symmetric mass transport models, J. Stat. Mech., P11031 (2015)
• M. Maitland, S. Grosskinsky, R.J. Harris, Large deviation analysis of a simple information engine, Phys. Rev. E 92, 052136 (2015)
• C. Grabow, S. Grosskinsky, J. Kurths, M. Timme, Collective Relaxation Dynamics of Small-World Networks, Phys. Rev. E 91, 052815 (2015)
• P. Chleboun, S. Grosskinsky, A dynamical transition and metastability in a size-dependent zero-range process, J. Phys. A: Math. Theor. 48, 055001 (2015)
• D. Khoromskaia, R.J. Harris, S. Grosskinsky, Dynamics of non-Markovian exclusion processes, J. Stat. Mech., P12013 (2014)
• J. Cao, P. Chleboun, S. Grosskinsky, Dynamics of condensation in the totally asymmetric inclusion processes, J. Stat. Phys. 155(3), 523–543 (2014)
• P. Chleboun, S. Grosskinsky, Condensation in stochastic particle systems with stationary product measures, J. Stat. Phys. 154(1-2), 432–465 (2014)
• A. Ali, R.C. Ball, S. Grosskinsky, E. Somfai, Interacting Particle Systems in Time-Dependent Geometries, J. Stat. Mech., P09006 (2013)
• S. Grosskinsky, F. Redig, K. Vafayi, Dynamics of condensation in the symmetric inclusion process, Electron. J. Probab. 18, no. 66, 1–23 (2013)
• I. Armendariz, S. Grosskinsky, M. Loulakis, Zero Range Condensation at Criticality, Stoch. Proc. Appl. 123(9), 3466-3496 (2013)
• A. Ali, R.C. Ball, S. Grosskinsky, E. Somfai, Scale invariant growth processes in expanding space, Phys. Rev. E 87, 020102(R) (2013)
• H. Arnoldt, M. Timme, S. Grosskinsky, Frequency-dependent fitness induces multistability in coevolutionary dynamics, J. R. Soc. Interface 9(77), 3387-3396 (2012)
• C. Grabow, S. Grosskinsky, M. Timme. Small-world network spectra in mean field theory, Phys. Rev. Lett. 108(21), 218701 (2012)
• L.C.G del Molino, P. Chleboun, S. Grosskinsky, Condensation in randomly perturbed zero-range processes, J. Phys. A: Math. Theor. 45(20), 205001 (2012)
• B. Altaner, J. Vollmer, S. Grosskinsky, L. Katthän, M. Timme, S. Herminghaus, Network representations of nonequilibrium steady states: Cycle decompositions, symmetries, and dominant paths, Phys. Rev. E 85(4), 041133 (2012)
• A. Ali, E. Somfai, S. Grosskinsky, Reproduction time statistics and segregation patterns in growing populations, Phys. Rev. E 85(2), 021923 (2012)
• S. Grosskinsky, A.A. Lovisolo, D. Ueltschi, Lattice permutations and Poisson-Dirichlet distribution of cycle lengths, J. Stat. Phys. 146(6), 1105-1121 (2012)
• C. Grabow, S. Grosskinsky, M. Timme. Speed of complex network synchronization, Eur. Phys. J. B 84, 613–626 (2011) (topical issue on Frontiers in network science: advances and applications)
• S. Grosskinsky, F. Redig, K. Vafayi, Condensation in the inclusion process and related models, J. Stat. Phys. 142(5), 952-974 (2011)
• P. Chleboun, S. Grosskinsky, Finite size effects and metastability in zero-range condensation, J. Stat. Phys. 140(5), 846-872 (2010)
• A. Ali, S. Grosskinsky, Pattern formation through genetic drift at expanding population fronts, Adv. Compl. Sys. 13(3), 349-366 (2010)
• C. Grabow, S. Hill, S. Grosskinsky, M. Timme, Do Small Worlds Synchronize Fastest?, Europhys. Lett. 90, 48002 (2010)
• S. Grosskinsky, P. Chleboun, G.M. Schütz, Instability of condensation in the zero-range process with random interaction, Phys. Rev. E 78(3), 030101(R) (2008)
• S. Grosskinsky, G.M. Schütz, Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process, J. Stat. Phys. 132(1), 77-108 (2008)
• S. Grosskinsky, Equivalence of ensembles for two-species zero-range invariant measures, Stoch. Proc. Appl. 118(8), 1322-1350 (2008)
• S. Grosskinsky, G.M. Schütz, R.D. Willmann, Rigorous results on spontaneous symmetry breaking in a one-dimensional driven particle system, J. Stat. Phys. 128(3), 587-606 (2007)
• R.D. Willmann, G.M. Schütz, S. Grosskinsky, Dynamical origin of spontaneous symmetry breaking in a field-driven nonequilibrium system, Europhys. Lett. 71(4), 542-548 (2005)
• S. Grosskinsky, T. Hanney, Coarsening dynamics in a two-species zero-range process, Phys. Rev. E 72(1), 016129 (2005)
• S. Grosskinsky, C. Klingenberg and K. Oelschläger, A rigorous derivation of Smoluchowski’s equation in the moderate limit, Stoch. An. Appl. 22(1), 113-142 (2004)
• S. Grosskinsky, H. Spohn, Stationary measures and hydrodynamics of zero range processes with several species of particles, Bull. Braz. Math. Soc. 34(3), 489-507 (2003)
• S. Grosskinsky, G.M. Schütz, H. Spohn, Condensation in the zero range process: stationary and dynamical properties, J. Stat. Phys. 113(3/4), 389-410 (2003)
• S. Grosskinsky, M. Timme and B. Naundorf, Universal Attractors of Reversible Aggregate-Reorganization Processes, Phys. Rev. Lett. 88(24), 245501 (2002)
• S. Grosskinsky, Dynamical Properties of a Randomly Diluted Neural Network with Variable Activity, J. Phys. A 32(16), 2983-2995 (1999)

Proceedings

• S. Grosskinsky, W. Jatuviriyapornchai, Mean-field equations for stochastic particle systems, Oberwolfach Report 15(1), Interplay of Analysis and Probability in Applied Mathematics (2018)
• I. Armendariz, S. Grosskinsky, M. Loulakis, Metastability in condensing zero-range processes in the thermodynamic limit, Oberwolfach Report 10(4), Large Scale Stochastic Dynamics (2013)
• S. Grosskinsky, P. Chleboun, Finite size effects and condensation in zero-range processes, Oberwolfach Report 7(4), Large Scale Stochastic Dynamics (2010)
• M. Loulakis, I. Armendariz, S. Grosskinsky, Thermodynamic Limit for the Invariant Measures of Zero Range Processes at the Critical Density, Oberwolfach Report 7(4), Large Scale Stochastic Dynamics (2010)
• S. Grosskinsky, G.M. Schütz, Condensation in a zero-range process with size-dependent jump rates, Oberwolfach Report 4(3), Large Scale Stochastic Dynamics (2010)
• S. Grosskinsky, Equivalence of ensembles for two-component zero-range invariant measures, Oberwolfach Report 2(2), Particle Systems with Several Conservation Laws: Fluctuations and Hydrodynamic Limit (2005)
• S. Grosskinsky, G.M. Schütz, H. Spohn, Condensation in the Zero Range Process, Oberwolfach Report 1(4), Large Scale Stochastic Dynamics (2004)
• G.M. Schütz, R.D. Willmann, S. Grosskinsky, Spontaneous symmetry breaking in a driven two-species lattice gas, Oberwolfach Report 1(4), Large Scale Stochastic Dynamics (2004)

Book chapter

• S. Grosskinsky, Interacting stochastic processes, in Complexity Science – The Warwick Master’s Course, editors: R.C. Ball, V. Kolokoltsov, R.S. MacKay. LMS Lecture Note Series (2013)

Theses

• Phase transitions in nonequilibrium stochastic particle systems with local conservation laws, PhD Thesis, Centre for Mathematical Sciences, Technical University of Munich (2004)
• Herleitung der Smoluchowski-Fragmentations-Gleichung aus einem Vielteilchenmodell im moderaten Limes, Diploma Thesis, Department of Mathematics, University of Würzburg (2000)
• Probabilistic Approach to a Randomly Diluted Neural Network with Variable Activity, Master Thesis, Yang Institute for Theoretical Physics, SUNY Stony Brook (1998)