Lévy Lecture in the 11th World Congress in Probability and Statistics, Bochum, Germany, 2024 (Slides, Video).
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
The critical 2d stochastic heat flow and related models. (arXiv:2412.10311)
Based on minicourses given at C.I.M.E., Peking University, and Seoul National University.
Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart.
The Brownian web, the Brownian net, and their universality. (arXiv:1506.00724, and published version without table of contents)
Advances in Disordered Systems, Random Processes and Some Applications, 270--368, Cambridge University Press, 2017.
Based on a course given in the Institut Henri Poincaré trimestre program Disordered Systems, Random Spatial Processes and Some Applications, Jan 5 - Apr 3, 2015.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
From disordered systems to the Critical 2D Stochastic Heat Flow. (arXiv:2511.08479)
To appear in the Proceedings of the 2026 International Congress of Mathematicians.
Siva R. Athreya, Alexander Drewitz, Rongfeng Sun.
Random walk among mobile/immobile traps: a short review. (arXiv:1703.06617)
Sojourns in Probability Theory and Statistical Physics - III: Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman, 1-22. Springer Proceedings in Mathematics & Statistics, 300, 2019.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
Scaling limits of disordered systems and disorder relevance. (arXiv:1602.05825)
For the proceedings for XVIII International Congress on Mathematical Physics, Santiago de Chile, 2015 (volume cancelled).
Papers listed in order of completion. See the respective journals for final published versions.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
Singularity and regularity of the critical 2D Stochastic Heat Flow. (arXiv:2504.06128)
Submitted, 2025.
Luca Makowiec, Michele Salvi, Rongfeng Sun.
Random Spanning Trees in Random Environment. (arXiv:2410.16830)
To appear in Annals of Applied Probability, 2026+.
Liuyan Li, Vlad Margarint, Rongfeng Sun.
Scaling limits of disorder relevant non-binary spin systems. (arXiv:2410.00579)
Stochastics and Partial Differential Equations: Analysis and Computations, 14, 428--450, 2026.
Siva R. Athreya, Alexander Drewitz, Rongfeng Sun.
An invariance principle for a random walk among moving traps via thermodynamic formalism. (arXiv:2401.10179)
Commun. Math. Phys., 406, 282, 2025.
Rongfeng Sun, Jan M. Swart, Jinjiong Yu.
Universality of the Brownian net. (arXiv:2401.09370)
Submitted, 2024.
Luca Makowiec, Michele Salvi, Rongfeng Sun.
Diameter of uniform spanning trees on random weighted graphs. (arXiv:2311.01808)
Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, 62, 879--899, 2026.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
The critical 2d Stochastic Heat Flow is not a Gaussian Multiplicative Chaos. (arXiv:2206.08766)
Annals of Probability, 51, 2265--2300, 2023.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
The critical 2d Stochastic Heat Flow. (arXiv:2109.03766)
Inventiones mathematicae, 233, 325--460, 2023.
Jian Ding, Jian Song, Rongfeng Sun.
A New Correlation Inequality for Ising Models with External Fields. (arXiv:2107.09243)
Probab. Theory Related Fields, 186, 477--492, 2023.
Adam Bowditch, Rongfeng Sun.
The two-dimensional continuum random field Ising model. (arXiv:2008.12158)
Annals of Probability, 50, 419--454, 2022.
Hao Shen, Jian Song, Rongfeng Sun, Lihu Xu.
Scaling limit of a directed polymer among a Poisson field of independent walks. (arXiv:2003.12945)
Journal of Functional Analysis, 281, Article 109066, 2021.
Jian Ding, Ryoki Fukushima, Rongfeng Sun, Changji Xu.
Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles. (arXiv:1910.04449)
Annals of Probability 49, 206--243, 2021.
Rongfeng Sun, Jan M. Swart, Jinjiong Yu.
An invariance principle for biased voter model interfaces. (arXiv:1908.02944)
Bernoulli 27, 615--636, 2021.
Jian Ding, Ryoki Fukushima, Rongfeng Sun, Changji Xu.
Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase. (arXiv:1904.07433)
Commun. Math. Phys. 376, 2161--2195, 2020.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
The two-dimensional KPZ equation in the entire subcritical regime. (arXiv:1812.03911)
Annals of Probability 48, 1086--1127, 2020.
Emmanuel Schertzer, Rongfeng Sun.
Perturbations of supercritical oriented percolation and sticky Brownian webs. (arXiv:1811.01849)
Sojourns in Probability Theory and Statistical Physics - II: Brownian Web and Percolation, A Festschrift for Charles M. Newman, 241--261. Springer Proceedings in Mathematics & Statistics, 299, 2019.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
On the moments of the (2+1)-dimensional directed polymer and stochastic heat equation in the critical window. (arXiv:1808.03586)
Commun. Math. Phys. 372, 385--440, 2019.
Jian Ding, Ryoki Fukushima, Rongfeng Sun, Changji Xu.
Geometry of the random walk range conditioned on survival among Bernoulli obstacles. (arXiv:1806.08319)
Probab. Theory Related Fields 177, 91--145, 2020.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
The Dickman subordinator, renewal theorems, and disordered systems. (arXiv:1805.01465)
Electron. J. Probab. 24, paper no. 101, 1--40, 2019.
Rongfeng Sun, Jan M. Swart, Jinjiong Yu.
Equilibrium interfaces of biased voter models. (arXiv:1804.04342)
Annals of Applied Probability 29, 2556--2593, 2019.
Matthias Birkner, Rongfeng Sun.
Low-dimensional lonely branching random walks die out. (arXiv:1708.06377)
Annals of Probability 47, 774--803, 2019.
Nicolas Pétrélis, Rongfeng Sun, Niccolò Torri.
Scaling limit of the uniform prudent walk. (arXiv:1702.04915)
Electron. J. Probab. 22, paper no. 66, 1--19, 2017.
Siva R. Athreya, Alexander Drewitz, Rongfeng Sun.
Subdiffusivity of a random walk among a Poisson system of moving traps on Z. (arXiv:1603.01709)
Mathematical Physics, Analysis and Geometry 20, Article 1, 2017.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
Universality in marginally relevant disordered systems. (arXiv:1510.06287)
Ann. Appl. Probab. 27, 3050-3112, 2017.
Andreas Greven, Rongfeng Sun, Anita Winter.
Continuum space limit of the genealogies of interacting Fleming-Viot processes on Z. (arXiv:1508.07169)
Electron. J. Probab. 21, paper no. 58, 1--64, 2016.
Matthias Birkner, Rongfeng Sun.
One-dimensional random walks with self-blocking immigration. (arXiv:1410.4344)
Ann. Appl. Probab. 27, 109-139, 2017.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
The continuum disordered pinning model. (arXiv:1406.5088)
Probab. Theory Related Fields 164, 17--59, 2016.
Francesco Caravenna, Rongfeng Sun, Nikos Zygouras.
Polynomial chaos and scaling limits of disordered systems. (arXiv:1312.3357)
Journal of the European Mathematical Society 19, 1--65, 2017.
Quentin Berger, Francesco Caravenna, Julien Poisat, Rongfeng Sun, Nikos Zygouras.
The Critical Curves of the Random Pinning and Copolymer Models at Weak Coupling. (arXiv:1301.5308v2)
Commun. Math. Phys. 326, 507--530, 2014.
Lung-Chi Chen, Rongfeng Sun.
A Monotonicity Result for the Range of a Perturbed Random Walk. (ArXiv:1203.1389v2)
Here is an earlier version.
Journal of Theoretical Probability 27, 997--1010, 2014.
Alexander Drewitz, Perla Sousi, Rongfeng Sun.
Symmetric rearrangements around infinity with applications to Lévy processes. (ArXiv:1110.5592v2)
Probab. Theory Related Fields 158, 637--664, 2014.
Siva R. Athreya, Rongfeng Sun.
One-dimensional voter model interface revisited. (ArXiv:1108.6200v2)
Electron. Commun. Probab. 16, Article 70, 792--800, 2011.
Anish Sarkar, Rongfeng Sun.
Brownian web and oriented percolation: density bounds. (ArXiv:1111.2449v1)
RIMS Kokyuroku, No. 1805, Applications of Renormalization Group Methods in Mathematical Sciences, 90--101, 2012.
Anish Sarkar, Rongfeng Sun.
Brownian web in the scaling limit of supercritical oriented percolation in dimension 1+1. (ArXiv:1108.1258v2)
Electron. J. Probab. 18, Article 21, 2013.
Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart.
Stochastic flows in the Brownian web and net. (ArXiv:1011.3895v1)
Memoirs of the American Mathematical Society 227, 1--176, 2014.
Alexander Drewitz, Jürgen Gärtner, Alejandro Ramírez, Rongfeng Sun.
Survival probability of a random walk among a Poisson system of moving traps. (ArXiv:1010.3958v4)
Probability in Complex Physical Systems--In honour of Erwin Bolthausen and Jürgen Gärtner, 119--158. Springer Proceedings in Mathematics 11, 2012.
Mark Holmes, Rongfeng Sun.
A monotonicity property for random walk in a partially random environment. (ArXiv:1005.0927v4)
Stochastic Processes and their Applications 122, 1369--1396, 2012.
Matthias Birkner, Rongfeng Sun.
Disorder relevance for the random walk pinning model in dimension 3. (ArXiv:0912.1663v3)
Here is an earlier version.
Annales de l'Institut Henri Poincaré - Probabilités et Statistiques 47, 259--293, 2011.
Matthias Birkner, Rongfeng Sun.
Annealed vs quenched critical points for a random walk pinning model. (ArXiv:0807.2752v2)
Annales de l'Institut Henri Poincaré - Probabilités et Statistiques 46, 414--441, 2010.
Emmanuel Schertzer, Rongfeng Sun, Jan M. Swart.
Special points of the Brownian net. (ArXiv:0806.2326v2)
Electron. J. Probab. 14, Article 30, 805--864, 2009.
Jürgen Gärtner, Rongfeng Sun.
A quenched limit theorem for the local time of random walks on Z^2. (ArXiv:0711.4488v2)
Stochastic Processes and their Applications 119, 1198--1215, 2009.
Donald A. Dawson, Andreas Greven, Frank den Hollander, Rongfeng Sun, Jan M. Swart.
The renormalization transformation for two-type branching models. (ArXiv:math/0610645v2)
Annales de l'Institut Henri Poincaré - Probabilités et Statistiques 44, 1038--1077, 2008.
Rongfeng Sun, Jan M. Swart.
The Brownian net. (ArXiv:math/0610625v5)
Annals of Probability 36, 1153--1208, 2008.
Samir Belhaouari, Thomas Mountford, Rongfeng Sun, Glauco Valle.
Convergence results and sharp estimates for the voter model interfaces.
Electron. J. Probab. 11, Article 30, 768--801, 2006.
Charles M. Newman, Krishnamurthi Ravishankar, Rongfeng Sun.
Convergence of coalescing nonsimple random walks to the Brownian web.
Electron. J. Probab. 10, Article 2, 21--60, 2005.
Lincoln Chayes, Harvey Gould, Jon Machta, Rongfeng Sun.
Cluster Monte Carlo study of multi-component fluids of the Stillinger-Helfand and Widom-Rowlinson type. (ArXiv:cond-mat/0003516v1)
Phys. Rev. E 62, 2226--2232, 2000.
PhD thesis: Convergence of coalescing nonsimple random walks to the Brownian web . (2004) (ArXiv:math/0501141v1)
Undergraduate thesis: Cluster Algorithms for the Ising Model and the Widom-Rowlinson Model. (1999)