Publicaties
2023
Wetenschappelijke publicaties
Chiarini Medeiros, L., Cipriani, A., Rapoport, A., & Ruszel, W. (2023). Fermionic Gaussian free field structure in the Abelian sandpile model and uniform spanning tree. (arXiv). arXiv. https://doi.org/10.48550/arXiv.2309.08349
Chiarini Medeiros, L., Jara, M., & Ruszel, W. (2023). Fractional Edgeworth expansions for one-dimensional heavy-tailed random variables and applications. Electronic Journal of Probability, 28, 1-42. Article 108. https://doi.org/10.1214/23-EJP996
Cipriani, A., Hazra, R. S., Rapoport, A., & Ruszel, W. M. (2023). Properties of the Gradient Squared of the Discrete Gaussian Free Field. Journal of Statistical Physics, 190(11), Article 171. https://doi.org/10.1007/s10955-023-03187-3
Chiarini, L., & Ruszel, W. M. (2023). Stochastic Homogenization of Gaussian Fields on Random Media. Annales Henri Poincare. Advance online publication. https://doi.org/10.1007/s00023-023-01347-5
2022
Wetenschappelijke publicaties
Ruszel, W., & Thacker, D. (2022). Positive reinforced generalized time-dependent Pólya urns via stochastic approximation. (pp. 1-22). arXiv. https://doi.org/10.48550/arXiv.2201.12603
2021
Wetenschappelijke publicaties
Crawford, N., & Ruszel, W. (2021). Random field induced order in two dimensions. (pp. 1-37). arXiv. https://doi.org/10.48550/arXiv.2111.00241
https://dspace.library.uu.nl/bitstream/handle/1874/419951/arXiv_2111.00241.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/419951/arXiv_2111.00241.pdf?sequence=1
Chiarini Medeiros, L., Jara, M., & Ruszel, W. (2021). Constructing fractional Gaussian fields from long-range divisible sandpiles on the torus. Stochastic Processes and their Applications, 140, 147-182. https://doi.org/10.1016/j.spa.2021.06.006
2020
Wetenschappelijke publicaties
Jarai, A., Ruszel, W. M., & Saada, E. (2020). Mean-field avalanche size exponent for sandpiles on Galton-Watson trees. Probability Theory and Related Fields, 177, 369-396. https://doi.org/10.1007/s00440-019-00951-z
Ruszel, W. M. (2020). Odometers of Divisible Sandpile Models: Scaling Limits, iDLA and Obstacle Problems. A Survey. Markov Processes and Related Fields, 26(1), 125. http://math-mprf.org/journal/articles/id1567/
2019
Wetenschappelijke publicaties
Bissacot, R., Endo, E., van Enter, A. C. D., Kimura, B., Le Ny, A., & Ruszel, W. M. (Accepted/In press). Dyson models under renormalization and in weak fields. In Sojourns in probability theory and statistical physics: I. Spin glasses and statistical mechanics : festschrift for Charles M. Newman (Vol. 1, pp. 123-137). (Springer proceedings in mathematics & statistics; Vol. 298). Springer. https://doi.org/10.1007/978-981-15-0294-1_5
Cipriani, A., de Graaff, J., & Ruszel, W. M. (2019). Scaling limits in divisible sandpiles: a Fourier multiplier approach. Journal of Theoretical Probability. Advance online publication. https://doi.org/10.1007/s10959-019-00952-7
van Enter, A. C. D., Kimura, B., Ruszel, W., & Spitoni, C. (2019). Nucleation for One-Dimensional Long-Range Ising Models. Journal of Statistical Physics, 174(6), 1327–1345. https://doi.org/10.1007/s10955-019-02238-y
2018
Wetenschappelijke publicaties
Cipriani, A., Hazra, R., & Ruszel, W. M. (2018). The divisible sandpile with heavy-tailed variables. Stochastic Processes and their Applications, 128(9), 3054-3081. https://doi.org/10.1016/j.spa.2017.10.013
Bissacot, Endo, van Enter, A. C. D., Kimura, B., & Ruszel, W. M. (2018). Contour methods for Dyson models: Weakening nearest-neighbour interactions and adding decaying fields. Annales Henri Poincare, 19(8), 2557-2574. https://doi.org/10.1007/s00023-018-0693-3
Kimura, B., Ruszel, W. M., & Spitoni, C. (2018). Ergodicity versus non-ergodicity for Probabilistic Cellular Automata on rooted trees. Markov Processes and Related Fields, 25(2), 189-216. https://doi.org/10.48550/arXiv.1710.00084
https://dspace.library.uu.nl/bitstream/handle/1874/387199/Ergodicity_versus_non_ergodicity_for_Probabilistic.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/387199/Ergodicity_versus_non_ergodicity_for_Probabilistic.pdf?sequence=1
Wang, H., Qu, Jiao, & Ruszel, W. M. (2018). Self-avoiding pruning random walk on signed network. New Journal of Physics, 21, Article 035001. https://doi.org/10.1088/1367-2630/ab060f
Redig, F., Ruszel, W. M., & Saada, E. (2018). Non-criticality criteria for Abelian sandpile models with sources and sinks. Journal of Mathematical Physics, 59(6), Article 063302 . https://doi.org/10.1063/1.5022128
Coquille, L., van Enter, A. C. D., Le Ny, A., & Ruszel, W. M. (2018). Absence of Dobrushin states for 2d long-range Ising models. Journal of Statistical Physics, 172(5), 1210-1222. https://doi.org/10.1007/s10955-018-2097-7
Chiarini, L., Jara, M., & Ruszel, W. M. (2018). Odometer of long-range sandpiles in the torus: mean behaviour and scaling limits. Manuscript submitted for publication.
2017
Wetenschappelijke publicaties
Cipriani, A., Hazra, R., & Ruszel, W. M. (2017). Scaling limit of the odometer in divisible sandpiles. Probability Theory and Related Fields, 172(3-4), 829-868. https://doi.org/10.1007/s00440-017-0821-x
2016
Wetenschappelijke publicaties
van der Hofstad, R., Holmes, M., Kuznetsov, & Ruszel, W. M. (2016). Strongly reinforced Polya urns with graph-based competition. Annals of Applied Probability, 26(4), 2494-2539. https://doi.org/10.1214/16-AAP1153
Collet, F., & Ruszel, W. M. (2016). Synchronization and Spin-Flop Transitions for a Mean-Field XY Model in Random Field. Journal of Statistical Physics, 164(3), 645-666. https://doi.org/10.1007/s10955-016-1557-1
2015
Wetenschappelijke publicaties
Redig, F., & Ruszel, W. (2015). Multilinearity of two-point correlation functions in one-dimensional models out of equilibrium. Journal of Physics A.
2014
Wetenschappelijke publicaties
Cirillo, P., Redig, F., & Ruszel, W. M. (2014). Duality and stationary distributions of wealth distribution models. Journal of Physics A.
Roelly, S., & Ruszel, W. M. (2014). Propagation of Gibbsianness for infinite-dimensional diffusions with space-time interaction. Markov Processes and Related Fields.
Cirillo, E. N. M., Louis, P. Y., Ruszel, W. M., & Spitoni, C. (2014). Effect of self-interaction on the phase diagram of a Gibbs-like measure derived by a reversible Probabilistic Cellular Automata. Chaos, solitons & fractals, 64, 36-47. https://doi.org/10.1016/j.chaos.2013.12.001
2012
Wetenschappelijke publicaties
Redig, F., Ruszel, W. M., & Saada, E. (2012). The Abelian Sandpile Model on a Random Binary Tree. Journal of Statistical Physics, 147, 653–677. https://doi.org/10.1007/s10955-012-0498-6
2010
Wetenschappelijke publicaties
van Enter, A. C. D., Kuelske, C., Opoku, & Ruszel, W. M. (2010). Gibbs-non-Gibbs properties for n-vector lattice and mean-field models. Brazilian journal of probability and statistics, 24(2), 226-255. https://doi.org/10.1214/09-BJPS029
https://dspace.library.uu.nl/bitstream/handle/1874/387345/euclid.bjps.1271770270.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/387345/euclid.bjps.1271770270.pdf?sequence=1
Redig, F., Roelly, S., & Ruszel, W. M. (2010). Short-time Gibbsianness for Infinite-dimensional Diffusions with Space-Time Interaction. Journal of Statistical Physics, 138(6), 1124-1144. https://doi.org/10.1007/s10955-010-9926-7
2009
Wetenschappelijke publicaties
van Enter, A. C. D., & Ruszel, W. M. (2009). Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models. Stochastic Processes and their Applications, 119, 1866–1888. https://doi.org/10.1016/j.spa.2008.09.005
2008
Wetenschappelijke publicaties
van Enter, A. C. D., & Ruszel, W. M. (2008). Loss and recovery of Gibbsianness for XY models in external fields. Journal of Mathematical Physics, 49(12), Article 125208 . https://doi.org/10.1063/1.2989145
Janssen, & Ruszel, W. M. (2008). Motional narrowing in the time-averaging approximation for simulating two-dimensional nonlinear infrared spectra. Journal of Physical Chemistry, 128, Article 214501. https://doi.org/10.1063/1.2931941
2007
Wetenschappelijke publicaties
van Enter, A. C. D., & Ruszel, W. M. (2007). Chaotic temperature dependence at zero temperature. Journal of Statistical Physics, 127(3), 567-573. https://doi.org/10.1007/s10955-006-9260-2
https://dspace.library.uu.nl/bitstream/handle/1874/387348/Enter_Ruszel2007_Article_ChaoticTemperatureDependenceAt.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/387348/Enter_Ruszel2007_Article_ChaoticTemperatureDependenceAt.pdf?sequence=1