@article{valak,
AUTHOR = {Bal{\'a}zs, M.},
TITLE = {Microscopic shape of shocks in a domain growth model},
JOURNAL = {J. Statist. Phys.},
FJOURNAL = {Journal of Statistical Physics},
VOLUME = {105},
YEAR = {2001},
NUMBER = {3-4},
PAGES = {511--524},
ISSN = {0022-4715},
CODEN = {JSTPSB},
MRCLASS = {82C22 (60K35)},
MRNUMBER = {1871655 (2002h:82063)},
MRREVIEWER = {Timo Sepp{\"a}l{\"a}inen},
DOI = {10.1023/A:1012271624597},
URL = {http://dx.doi.org/10.1023/A:1012271624597},
}
@article{fluct,
AUTHOR = {Bal{\'a}zs, M.},
TITLE = {Growth fluctuations in a class of deposition models},
JOURNAL = {Ann. Inst. H. Poincar\'e Probab. Statist.},
FJOURNAL = {Annales de l'Institut Henri Poincar\'e. Probabilit\'es et Statistiques},
VOLUME = {39},
YEAR = {2003},
NUMBER = {4},
PAGES = {639--685},
ISSN = {0246-0203},
CODEN = {AHPBAR},
MRCLASS = {60K35 (82C31)},
MRNUMBER = {MR1983174 (2005j:60178a)},
MRREVIEWER = {Wolfgang Freudenberg},
}
@article{sokvalak,
AUTHOR = {Bal{\'a}zs, M.},
TITLE = {Multiple shocks in bricklayers' model},
JOURNAL = {J. Statist. Phys.},
FJOURNAL = {Journal of Statistical Physics},
VOLUME = {117},
YEAR = {2004},
NUMBER = {1-2},
PAGES = {77--98},
ISSN = {0022-4715},
CODEN = {JSTPSB},
MRCLASS = {82C22 (60K35)},
MRNUMBER = {2098559 (2006c:82041)},
MRREVIEWER = {Ellen Saada},
DOI = {10.1023/B:JOSS.0000044060.25344.58},
URL = {http://dx.doi.org/10.1023/B:JOSS.0000044060.25344.58},
}
@article{periodica,
AUTHOR = {Bal{\'a}zs, M.},
TITLE = {Stochastic bounds on the zero range processes with superlinear jump rates},
JOURNAL = {Period. Math. Hungar.},
FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai Mathematical Society},
VOLUME = {47},
YEAR = {2003},
NUMBER = {1-2},
PAGES = {17--27},
ISSN = {0031-5303},
CODEN = {PMHGAW},
MRCLASS = {60K35 (82C22)},
MRNUMBER = {2024970},
MRREVIEWER = {Nicoletta Cancrini},
DOI = {10.1023/B:MAHU.0000010808.13199.d9},
URL = {http://dx.doi.org/10.1023/B:MAHU.0000010808.13199.d9},
}
@article{exists,
AUTHOR = {Bal{\'a}zs, M. and Rassoul-Agha, F. and Sepp{\"a}l{\"a}inen, T. and Sethuraman, S.},
TITLE = {Existence of the zero range process and a deposition model with superlinear growth rates},
JOURNAL = {Ann. Probab.},
FJOURNAL = {The Annals of Probability},
VOLUME = {35},
YEAR = {2007},
NUMBER = {4},
PAGES = {1201--1249},
ISSN = {0091-1798},
CODEN = {APBYAE},
MRCLASS = {60K35},
MRNUMBER = {MR2330972 (2008e:60300)},
MRREVIEWER = {Rongfeng Sun},
}
@article{raprwre,
AUTHOR = {Bal{\'a}zs, M. and Rassoul-Agha, F. and Sepp{\"a}l{\"a}inen, T.},
TITLE = {The random average process and random walk in a space-time random environment in one dimension},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {266},
YEAR = {2006},
NUMBER = {2},
PAGES = {499--545},
ISSN = {0010-3616},
CODEN = {CMPHAY},
MRCLASS = {60K37 (60F05 82C22)},
MRNUMBER = {MR2238887 (2007k:60334)},
MRREVIEWER = {Francis Comets},
}
@article{third,
AUTHOR = {Bal{\'a}zs, M. and Cator, E. and Sepp{\"a}l{\"a}inen, T.},
TITLE = {Cube root fluctuations for the corner growth model associated to the exclusion process},
JOURNAL = {Electron. J. Probab.},
FJOURNAL = {Electronic Journal of Probability},
VOLUME = {11},
YEAR = {2006},
PAGES = {no. 42, 1094--1132 (electronic)},
ISSN = {1083-6489},
MRCLASS = {60K35 (82C43)},
MRNUMBER = {MR2268539 (2007k:60312)},
MRREVIEWER = {Glauco Valle},
}
@article{varj2nd,
AUTHOR = {Bal{\'a}zs, M. and Sepp{\"a}l{\"a}inen, T.},
TITLE = {Exact connections between current fluctuations and the second class particle in a class of deposition models},
JOURNAL = {J. Stat. Phys.},
FJOURNAL = {Journal of Statistical Physics},
VOLUME = {127},
YEAR = {2007},
NUMBER = {2},
PAGES = {431--455},
ISSN = {0022-4715},
MRCLASS = {82C22 (60K35 82C41)},
MRNUMBER = {MR2314355 (2008e:82056)},
MRREVIEWER = {Wolfgang Freudenberg},
}
@article{se2/3,
AUTHOR = {Bal{\'a}zs, M. and Sepp{\"a}l{\"a}inen, T.},
TITLE = {Order of current variance and diffusivity in the asymmetric simple exclusion process},
JOURNAL = {Ann. of Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {171},
YEAR = {2010},
NUMBER = {2},
PAGES = {1237--1265},
ISSN = {0003-486X},
CODEN = {ANMAAH},
MRCLASS = {60K35 (60J25)},
MRNUMBER = {2630064},
MRREVIEWER = {Daniel Remenik},
DOI = {10.4007/annals.2010.171.1237},
URL = {http://dx.doi.org/10.4007/annals.2010.171.1237},
}
@article{convex,
author="M. Bal{\'a}zs and T. Sepp{\"a}l{\"a}inen",
title="A convexity property of expectations under exponential weights",
journal="\url{http://arxiv.org/abs/0707.4273}",
year="2007"}
@article{asepsimple,
AUTHOR = {Bal{\'a}zs, M. and Sepp{\"a}l{\"a}inen, T.},
TITLE = {Fluctuation bounds for the asymmetric simple exclusion process},
JOURNAL = {ALEA Lat. Am. J. Probab. Math. Stat.},
FJOURNAL = {ALEA. Latin American Journal of Probability and Mathematical Statistics},
VOLUME = {6},
YEAR = {2009},
PAGES = {1--24},
ISSN = {1980-0436},
MRCLASS = {60K35},
MRNUMBER = {2485877},
MRREVIEWER = {Daniel Remenik},
}
@article{julizrp,
AUTHOR = {Bal{\'a}zs, M. and Komj{\'a}thy, J.},
TITLE = {Order of current variance and diffusivity in the rate one totally asymmetric zero range process},
JOURNAL = {J. Stat. Phys.},
FJOURNAL = {Journal of Statistical Physics},
VOLUME = {133},
YEAR = {2008},
NUMBER = {1},
PAGES = {59--78},
ISSN = {0022-4715},
MRCLASS = {60K35 (82C22)},
MRNUMBER = {2438897},
MRREVIEWER = {Timo Sepp{\"a}l{\"a}inen},
DOI = {10.1007/s10955-008-9604-1},
URL = {http://dx.doi.org/10.1007/s10955-008-9604-1},
}
@article{unipq3,
AUTHOR = {Bal{\'a}zs, M. and Komj{\'a}thy, J. and Sepp{\"a}l{\"a}inen, T.},
TITLE = {Microscopic concavity and fluctuation bounds in a class of deposition processes},
JOURNAL = {Ann. Inst. Henri Poincar\'e Probab. Stat.},
FJOURNAL = {Annales de l'Institut Henri Poincar\'e Probabilit\'es et Statistiques},
VOLUME = {48},
YEAR = {2012},
NUMBER = {1},
PAGES = {151--187},
ISSN = {0246-0203},
MRCLASS = {60K35 (82C22)},
MRNUMBER = {2919202},
MRREVIEWER = {Achim Klenke},
DOI = {10.1214/11-AIHP415},
URL = {http://dx.doi.org/10.1214/11-AIHP415},
}
@article{bqs,
AUTHOR = {Bal{\'a}zs, M. and Quastel, J. and Sepp{\"a}l{\"a}inen, T.},
TITLE = {Fluctuation exponent of the {KPZ}/stochastic {B}urgers equation},
JOURNAL = {J. Amer. Math. Soc.},
FJOURNAL = {Journal of the American Mathematical Society},
VOLUME = {24},
YEAR = {2011},
NUMBER = {3},
PAGES = {683--708},
ISSN = {0894-0347},
MRCLASS = {60H15 (35R60 60K35 82C22)},
MRNUMBER = {2784327},
MRREVIEWER = {Achim Klenke},
DOI = {10.1090/S0894-0347-2011-00692-9},
URL = {http://dx.doi.org/10.1090/S0894-0347-2011-00692-9},
}
@article{rwshscp,
AUTHOR = {Bal{\'a}zs, M. and Farkas, Gy. and Kov{\'a}cs, P. and R{\'a}kos, A.},
TITLE = {Random walk of second class particles in product shock measures},
JOURNAL = {J. Stat. Phys.},
FJOURNAL = {Journal of Statistical Physics},
VOLUME = {139},
YEAR = {2010},
NUMBER = {2},
PAGES = {252--279},
ISSN = {0022-4715},
MRCLASS = {60K35 (82C22)},
MRNUMBER = {2602962 (2011d:60277)},
MRREVIEWER = {Anja Vo{\ss}-B{\"o}hme},
DOI = {10.1007/s10955-010-9933-8},
URL = {http://dx.doi.org/10.1007/s10955-010-9933-8},
}
@article{eblpq3,
year={2012},
issn={0022-4715},
journal={Journal of Statistical Physics},
volume={147},
number={1},
doi={10.1007/s10955-012-0470-5},
title={Fluctuation Bounds in the Exponential Bricklayers Process},
url={http://dx.doi.org/10.1007/s10955-012-0470-5},
publisher={Springer US},
keywords={Interacting particle systems; Universal fluctuation bounds; t 1/3-Scaling; Second class particle; Convexity; Bricklayers process},
author={Bal{\'a}zs, M. and Komj{\'a}thy, J. and Sepp{\"a}l{\"a}inen, T.},
pages={35-62},
language={English}
}
@article{kecske,
author = "Bal{\'a}zs, M. and R{\'a}cz, M. Z. and T{\'o}th, B.",
doi = "10.1214/12-AIHP512",
fjournal = "Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques",
journal = "Ann. Inst. H. Poincar{\'e} Probab. Statist.",
month = "05",
number = "2",
pages = "425--454",
publisher = "Institut Henri Poincar{\'e}",
title = "Modeling flocks and prices: Jumping particles with an attractive interaction",
url = "http://dx.doi.org/10.1214/12-AIHP512",
volume = "50",
year = "2014"
}
@article{fluidmarkov,
title = "Fluid level dependent Markov fluid models with continuous zero transition ",
journal = "Performance Evaluation ",
volume = "68",
number = "11",
pages = "1149 - 1161",
year = "2011",
note = "Special Issue: Performance 2011 ",
issn = "0166-5316",
doi = "http://dx.doi.org/10.1016/j.peva.2011.07.006",
url = "http://www.sciencedirect.com/science/article/pii/S0166531611000976",
author = "M. Bal{\'a}zs and G. Horv{\'a}th and S. Kolumb{\'a}n and P. Kov{\'a}cs and M. Telek",
keywords = "Markov fluid model",
keywords = "Fluid level dependence",
keywords = "Stationary behaviour",
keywords = "Differential equation ",
}
@article{b_sz_dealing14,
AUTHOR = {Bal{\'a}zs, M. and Szab{\'o}, D{\'a}vid Z.},
TITLE = {Comparing dealing methods with repeating cards},
JOURNAL = {ALEA Lat. Am. J. Probab. Math. Stat.},
FJOURNAL = {ALEA. Latin American Journal of Probability and Mathematical Statistics},
VOLUME = {11},
YEAR = {2014},
NUMBER = {1},
PAGES = {615--630},
ISSN = {1980-0436},
MRCLASS = {60C05 (60J10)},
MRNUMBER = {3296483},
MRREVIEWER = {Elvira Di Nardo},
}
@article{b_f_electric14,
ISSN = {00029890, 19300972},
URL = {http://www.jstor.org/stable/10.4169/amer.math.monthly.123.7.657},
abstract = {We give an analogy between nonreversible Markov chains and electric networks much in the flavor of the classical reversible results originating from Kakutani and later Kem{\'e}ny-Snell-Knapp and Kelly. Nonreversibility is made possible by a voltage multiplier-a new electronic component. We prove that absorption probabilities, escape probabilities, expected number of jumps over edges, and commute times can be computed from electrical properties of the network as in the classical case. The central quantity is still the effective resistance, which we do have in our networks despite the fact that individual parts cannot be replaced by a simple resistor. We rewrite a recent nonreversible result of Gaudilli{\`e}re-Landim about the Dirichlet and Thomson principles into the electrical language. We also give a few tools that can help in reducing and solving the network. The subtlety of our network is, however, that the classical Rayleigh monotonicity is lost.},
author = {M. Bal{\'a}zs, {\'A}. Folly},
journal = {The American Mathematical Monthly},
number = {7},
pages = {657-682},
publisher = {Mathematical Association of America},
title = {An Electric Network for Nonreversible Markov Chains},
volume = {123},
year = {2016}
}
@article{b_n_howto15,
AUTHOR = {M\'arton Bal\'azs and Attila L\'aszl\'o Nagy},
TITLE = {How to initialize a second class particle?},
JOURNAL = {Ann. Probab.},
FJOURNAL = {Annals of Probability},
YEAR = {2017},
VOLUME = {45},
NUMBER = {6A},
PAGES = {3535-3570},
ISSN = {0091-1798},
DOI = {10.1214/16-AOP1143},
SICI = {0091-1798(2017)45:6A<3535:HTIASC>2.0.CO;2-J},
}
@article{b_n_dbarw15,
author = {M. Bal{\'a}zs and A. L. Nagy},
title = {Dependent double branching annihilating random walk},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {20},
year = {2015},
keywords = {non-attractive particle system, long range dependent rates, double branching annihilating random walk, parity conserving, positive recurrence, interface tightness},
pages = {no. 84, 1-32},
issn = {1083-6489},
doi = {10.1214/EJP.v20-4045},
url = {http://ejp.ejpecp.org/article/view/4045}}
}
@article{b_n_t_t_coex16,
author="Bal{\'a}zs, M.
and Nagy, A.L.
and T{\'o}th, B.
and T{\'o}th, I.",
title="Coexistence of Shocks and Rarefaction Fans: Complex Phase Diagram of a Simple Hyperbolic Particle System",
journal="Journal of Statistical Physics",
year="2016",
volume="165",
number="1",
pages="115--125",
issn="1572-9613",
doi="10.1007/s10955-016-1600-2",
url="http://dx.doi.org/10.1007/s10955-016-1600-2"
}
@article{b_b_blocking16,
author = "Bal{\'a}zs, M{\'a}rton and Bowen, Ross",
doi = "10.1214/16-AIHP813",
fjournal = "Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques",
journal = "Ann. Inst. H. Poincar{\'e} Probab. Statist.",
month = "02",
number = "1",
pages = "514--528",
publisher = "Institut Henri Poincar{\'e}",
title = "Product blocking measures and a particle system proof of the Jacobi triple product",
url = "https://doi.org/10.1214/16-AIHP813",
volume = "54",
year = "2018"
}
@article{c_b_m_uni_hills,
author = {Calvert, J. and Bal\'azs, M. and Michaelides, K.},
title = {Unifying Particle-Based and Continuum Models of Hillslope Evolution With a Probabilistic Scaling Technique},
journal = {Journal of Geophysical Research: Earth Surface},
volume = {123},
number = {12},
pages = {3124-3146},
keywords = {hillslope, particle model, landscape evolution model, probabilistic scaling, geomorphic transport law},
doi = {10.1029/2018JF004612},
url = {https://agupubs.onlinelibrary.wiley.com/doi/abs/10.1029/2018JF004612},
eprint = {https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/2018JF004612},
abstract = {Relationships between sediment flux and geomorphic processes are combined with statements of mass conservation, in order to create continuum models of hillslope evolution. These models have parameters that can be calibrated using available topographical data. This contrasts the use of particle-based models, which may be more difficult to calibrate but are simpler and easier to implement and have the potential to provide insight into the statistics of grain motion. The realms of individual particles and the continuum, while disparate in geomorphological modeling, can be connected using scaling techniques commonly employed in probability theory. Here we motivate the choice of a particle-based model of hillslope evolution, whose stationary distributions we characterize. We then provide a heuristic scaling argument, which identifies a candidate for their continuum limit. By simulating instances of the particle model, we obtain equilibrium hillslope profiles and probe their response to perturbations. These results provide a proof of concept in the unification of microscopic and macroscopic descriptions of hillslope evolution through probabilistic techniques and simplify the study of hillslope response to external influences.},
year = {2018}
}
@article{b_r-a_s_wand_exp,
author = {M. Bal{\'a}zs and F. Rassoul-Agha and T. Sepp{\"a}l{\"a}inen},
title="Large deviations and wandering exponent for random walk in a dynamic beta environment",
journal="\url{https://arxiv.org/abs/1801.08070}, preprint, 28 pages, accepted for publication in the Annals of Probability",
year="2018"
}
@article{b_d_p_qzrp_rwsh,
author = {M. Bal{\'a}zs and Lewis Duffy and Dimitri Pantelli},
title="Q-zero range has random walking shocks",
journal="\url{https://arxiv.org/abs/1809.01719}, preprint, 15 pages, accepted for publication in the Journal of Statistical Physics",
year="2018"
}