List of Publications

  1. G. Dombi, B. Valkó: On a problem of Erdõs, Acta Mathematica Hungarica, 77 (1997), 47-56.
  2. B. Valkó: On irregularities of sums of integers, Acta Arithmetica, 92 (2000), 367-381.
  3. S. Csörgõ, B. Valkó, W. B. Wu: Random multisets and bootstrap means. Acta Scientiarum Mathematicarum (Szeged), 67 (2001), 843-875.
  4. B. Valkó: Discrepancy of arithmetic progressions in higher dimensions, Journal of Number Theory, 92 (2002), 117-130.
  5. B. Tóth, B. Valkó: Between equilibrium fluctuations and Eulerian scaling: Perturbation of equilibrium for a class of deposition models, Journal of Stat. Phys., 109 (2002), 177-205 (arXiv)
  6. B. Tóth, B. Valkó: Onsager Relations and Eulerian Hydrodynamic Limit for Systems with Several Conservation Laws, Journal of Stat. Phys., 112 (2003), 497-521 (arXiv)
  7. 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
  8. 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)
  9. A. Rudas, B. Tóth, B. Valkó: Random Trees and General Branching Processes, Random Structures and Algorithms, 31 (2007), no. 2, 186-202 (arXiv)
  10. J. Quastel, B. Valkó: t1/3 Superdiffusivity of Finite-Range Asymmetric Exclusion Processes on Z, Comm. Math. Phys. 273 (2007), no. 3, 379-394. (arXiv)
  11. J. Quastel, B. Valkó: KdV Preserves White Noise, Comm. Math. Phys. 277 (2008), no. 2, 707-714. (arXiv)
  12. J. Quastel, B. Valkó: A note on the diffusivity of finite-range asymmetric exclusion processes on Z, In: V. Sidoravicius, M.E. Vares (eds): In and Out of Equilibrium 2, Progress in Probability 60, Birkhauser (2008), 543-550, (arXiv)
  13. B. Valkó, B. Virág: Continuum limits of random matrices and the Brownian carousel. Invent math(2009) 177: 463-508. (arXiv)
  14. B. Valkó, B. Virág: Large gaps between random eigenvalues, Annals of Probab., 38, no. 3, 1263-1279 (2010) (arXiv)
  15. G. Amir, O. Angel, B. Valkó: The TASEP speed process, Ann. Probab. Volume 39, Number 4 (2011), 1205-1242. (arXiv)
  16. P. Tarres, B. Tóth, B. Valkó: Diffusivity bounds for 1d Brownian polymers, Ann. Probab. Volume 40, Number 2 (2012), 695-713. (arXiv)
  17. T. Oh, J. Quastel, B. Valkó: Interpolation of Gibbs measures with White Noise for Hamiltonian PDE, Journal de Mathématiques Pures et Appliquées, Volume 97, Issue 4, April 2012, 391–410. (arXiv)
  18. S. Jacquot, B. Valkó: Bulk scaling limit of the Laguerre ensemble, EJP Vol. 16 (2011) paper 11, 314-346. (arXiv)
  19. T. Seppäläinen, B. Valkó: Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment, Alea 7, 451-476 (2010) (arXiv)
  20. 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 Stat. Phys.
    April 2012, Volume 147, Issue 1, 113-131,  (arXiv)
  21. E. Kritchevski, B. Valkó, B. Virág: The scaling limit of the critical one-dimensional random Schrodinger operator, Comm. Math. Physi.
    September 2012, Volume 314, Issue 3, 775-806. (arXiv)
  22. B. Valkó, B. Virág: Random Schrodinger operators on long boxes, noise explosion and the GOE, Transactions Volume 36, 3709--3728, 6 (2014)
    of AMS,  (arXiv)
  23. J. Quastel, B. Valkó : Diffusivity of lattice gases. Archive for Rational Mechanics and Analysis, Volume 210, Issue 1, pp 269-320 (2013) (arXiv) 
  24. D. Holcomb, B. Valkó: Large deviations for the Sin_beta and Sch_tau processes. Prob. Theory and Rel. Fields, Vol. 163, Issue 1, 339–378, (2015). (arXiv) 
  25. G. Moreno Flores, T. Seppäläinen, B. Valkó: Fluctuation exponents for directed polymers in the intermediate scaling regime.  EJP Vol. 19 (2014) paper 89, 1-28. (arXiv)
  26. B. Rider, B. Valkó: Matrix Dufresne identities. International Mathematics Research Notices. Vol. 2016, Issue 1, 174–218. (2016) (arXiv)
  27. D. Holcomb, B. Valkó: Overcrowding asymptotics for the Sine_beta process, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 53 (3), 1181-1195 (2017) (arXiv)
  28. B. Valkó, B. Virág: The Sine_beta operator, Inventiones mathematicae, 209 (1), 275-327 (2017) (arXiv)
  29. B. Valkó, B. Virág: Operator limit of the circular beta ensemble, Ann. Probab. Vol 48, Number 3 (2020), 1286-1316. (arXiv)
  30. D. Anderson, T. Seppäläinen, B. Valkó: Introduction to probability, Cambridge Mathematical Textbooks, Cambridge University Press, 2018
  31. S. Ledger, B. Tóth, B. Valkó: Random walk on the randomly-oriented Manhattan lattice, Electron. Commun. Probab. Vol 23 (2018), paper no. 43, 11 pp. (arXiv)
  32. L. Dumaz, Y. Li, B. Valkó: Operator level hard-to-soft transition for β-ensembles,  Electron. J. Probab. 26: 1-28 (2021) (arXiv)
  33. B. Valkó, B. Virág: The many faces of the stochastic zeta function, GAFA, 32, 1160–1231 (2022) (arXiv)
  34. G. Bonner, J-L Thiffeault, B. Valkó: On a random entanglement problem, IMA Journal of Applied Mathematics 87 (6), 1090-1120 (2022) (arXiv)
  35. Y. Li, B. Valkó: Operator level limit of the circular Jacobi β-ensemble (2022), Random Matrices: Theory and Applications, Vol. 11, No. 04, 2250043  (arXiv)
  36. B. Valkó, B. Virág: Palm measures for Dirac operators and the Sine beta process, Stochastic Processes and their Applications, Vol 163, 106-135, (2023) (arXiv)
  37. Y. Li, B. Valkó: Edge limits of truncated circular beta ensembles, Electron. J. Probab. 30: 1-46 (2025). DOI: 10.1214/25-EJP1270 (arXiv)
  38. B. Rider, B. Valkó: Solvable families of random block tridiagonal matrices (2024) (arXiv)
  39. Y. Qu, B. Valkó: On the pair correlation function of the Sine_beta process (2025) (arXiv)