G. Dombi, B. Valkó: On a problem of Erdős, Acta Mathematica Hungarica, 77 (1997), 47-56.
B. Valkó: On irregularities of sums of integers, Acta Arithmetica, 92 (2000), 367-381.
S. Csörgő, B. Valkó, W. B. Wu: Random multisets and bootstrap means. Acta Scientiarum Mathematicarum (Szeged), 67 (2001), 843-875.
B. Valkó: Discrepancy of arithmetic progressions in higher dimensions, Journal of Number Theory, 92 (2002), 117-130.
B. Tóth, B. Valkó: Between equilibrium fluctuations and Eulerian scaling: Perturbation of equilibrium for a class of deposition models, Journal of Statistical Physics, 109 (2002), 177-205. (arXiv)
B. Tóth, B. Valkó: Onsager Relations and Eulerian Hydrodynamic Limit for Systems with Several Conservation Laws, Journal of Statistical Physics, 112 (2003), 497-521. (arXiv)
B. Tóth, B. Valkó: Perturbation of singular equilibria of hyperbolic two-component systems: a universal hydrodynamic limit, Communications in Mathematical Physics, 256 (2005), 111-157. First version: (arXiv), updated version: (pdf)
B. Valkó: Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems, Annales de l'Institut Henri Poincaré - Probabilités et Statistiques, 42 (2006), 61-80. (arXiv)
A. Rudas, B. Tóth, B. Valkó: Random Trees and General Branching Processes, Random Structures and Algorithms, 31(2) (2007), 186-202. (arXiv)
J. Quastel, B. Valkó: t^(1/3) Superdiffusivity of Finite-Range Asymmetric Exclusion Processes on Z, Communications in Mathematical Physics, 273(3) (2007), 379-394. (arXiv)
J. Quastel, B. Valkó: KdV Preserves White Noise, Communications in Mathematical Physics, 277(2) (2008), 707-714. (arXiv)
J. Quastel, B. Valkó: A note on the diffusivity of finite-range asymmetric exclusion processes on Z, in In and Out of Equilibrium 2, Progress in Probability 60, Birkhäuser (2008), 543-550. (arXiv)
B. Valkó, B. Virág: Continuum limits of random matrices and the Brownian carousel, Inventiones Mathematicae, 177 (2009), 463-508. (arXiv)
B. Valkó, B. Virág: Large gaps between random eigenvalues, Annals of Probability, 38(3) (2010), 1263-1279. (arXiv)
G. Amir, O. Angel, B. Valkó: The TASEP speed process, Annals of Probability, 39(4) (2011), 1205-1242. (arXiv)
P. Tarrès, B. Tóth, B. Valkó: Diffusivity bounds for 1d Brownian polymers, Annals of Probability, 40(2) (2012), 695-713. (arXiv)
T. Oh, J. Quastel, B. Valkó: Interpolation of Gibbs measures with White Noise for Hamiltonian PDE, Journal de Mathématiques Pures et Appliquées, 97(4) (2012), 391-410. (arXiv)
S. Jacquot, B. Valkó: Bulk scaling limit of the Laguerre ensemble, Electronic Journal of Probability, 16 (2011), Paper 11, 314-346. (arXiv)
T. Seppäläinen, B. Valkó: Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment, ALEA, 7 (2010), 451-476. (arXiv)
B. Tóth, B. Valkó: Superdiffusive bounds on self-repellent Brownian polymers and diffusion in the curl of the Gaussian free field in d=2, Journal of Statistical Physics, 147(1) (2012), 113-131. (arXiv)
E. Kritchevski, B. Valkó, B. Virág: The scaling limit of the critical one-dimensional random Schrödinger operator, Communications in Mathematical Physics, 314(3) (2012), 775-806. (arXiv)
B. Valkó, B. Virág: Random Schrödinger operators on long boxes, noise explosion and the GOE, Transactions of the AMS, 366 (2014), 3709-3728. (arXiv)
J. Quastel, B. Valkó: Diffusivity of lattice gases, Archive for Rational Mechanics and Analysis, 210(1) (2013), 269-320. (arXiv)
D. Holcomb, B. Valkó: Large deviations for the Sin_beta and Sch_tau processes, Probability Theory and Related Fields, 163(1) (2015), 339-378. (arXiv)
G. Moreno Flores, T. Seppäläinen, B. Valkó: Fluctuation exponents for directed polymers in the intermediate scaling regime, Electronic Journal of Probability, 19 (2014), Paper 89, 1-28. (arXiv)
B. Rider, B. Valkó: Matrix Dufresne identities, International Mathematics Research Notices, 2016(1), 174-218. (arXiv)
D. Holcomb, B. Valkó: Overcrowding asymptotics for the Sine_beta process, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53(3) (2017), 1181-1195. (arXiv)
B. Valkó, B. Virág: The Sine_beta operator, Inventiones Mathematicae, 209(1) (2017), 275-327. (arXiv)
B. Valkó, B. Virág: Operator limit of the circular beta ensemble, Annals of Probability, 48(3) (2020), 1286-1316. (arXiv)
D. Anderson, T. Seppäläinen, B. Valkó: Introduction to Probability, Cambridge Mathematical Textbooks, Cambridge University Press, 2018. (Book website)
S. Ledger, B. Tóth, B. Valkó: Random walk on the randomly-oriented Manhattan lattice, Electronic Communications in Probability, 23 (2018), Paper 43. (arXiv)
L. Dumaz, Y. Li, B. Valkó: Operator level hard-to-soft transition for β-ensembles, Electronic Journal of Probability, 26 (2021), 1-28. (arXiv)
B. Valkó, B. Virág: The many faces of the stochastic zeta function, GAFA, 32 (2022), 1160-1231. (arXiv)
G. Bonner, J.-L. Thiffeault, B. Valkó: On a random entanglement problem, IMA Journal of Applied Mathematics, 87(6) (2022), 1090-1120. (arXiv)
Y. Li, B. Valkó: Operator level limit of the circular Jacobi β-ensemble, Random Matrices: Theory and Applications, 11(4) (2022), 2250043. (arXiv)
B. Valkó, B. Virág: Palm measures for Dirac operators and the Sine beta process, Stochastic Processes and Their Applications, 163 (2023), 106-135. (arXiv)
Y. Li, B. Valkó: Edge limits of truncated circular beta ensembles, Electronic Journal of Probability, 30 (2025), 1-46. DOI: 10.1214/25-EJP1270. (arXiv)
B. Rider, B. Valkó: Solvable families of random block tridiagonal matrices, SIGMA, 22 (2026), 049. (arXiv)
Y. Qu, B. Valkó: On the pair correlation function of the Sine_beta process (2025). (arXiv)
S. Qiu, Y. Qu, L. Yuan, B. Valkó, S. Venancio: The pair correlation function of the Sine_6 process (2026). (arXiv)
Y. Li, B. Valkó, J. Xu: Soft edge limit of the Laguerre beta-ensemble at the lower edge (2026). (arXiv)