Manuscripts from Marton Balazs

Manuscripts

[Mathscinet] [Google Scholar] [arXiv]
[Here is the BibTeX file for almost all of the below.]
Would you mind doing the same with yours? It was just a copy-paste for me but it can help visitors a lot.

M. Balázs, Sudeshna Bhattacharjee, Karambir Das, David Harper
Road layout in the KPZ class
Preprint (2024)
[Arxiv]
M. Balázs, Riddhipratim Basu, Sudeshna Bhattacharjee
Geodesic trees in last passage percolation and some related problems
Preprint (2023)
[Arxiv]
Daniel Adams, M. Balázs, Jessica Jay
ASEP proofs of some partition identities and the blocking stationary behaviour of second class particles
Preprint (2023)
[Arxiv]
M. Balázs, Dan Fretwell, Jessica Jay
Interacting Particle Systems and Jacobi style identities
RESEARCH IN THE MATHEMATICAL SCIENCES 9, Article number: 48 (2022)
[Arxiv] [At publisher]
M. Balázs, Felix Maxey-Hawkins
Hydrodynamic limit of the zero range process on a randomly oriented graph
ELECTRONIC JOURNAL OF PROBABILITY 27: Article 23 (29 pages) (2022)
[Arxiv] [At publisher]
M. Balázs, Ofer Busani, Timo Seppäläinen
Local stationarity of exponential last passage percolation
PROBABILITY THEORY AND RELATED FIELDS 180, pp. 113–162 (2021)
[Arxiv] [At publisher]
M. Balázs, Ofer Busani, Timo Seppäläinen
Non-existence of bi-infinite geodesics in the exponential corner growth model
FORUM OF MATHEMATICS, SIGMA 8, E46. (2020)
[Arxiv] [At publisher]
M. Balázs, Firas Rassoul-Agha, Timo Seppäläinen
Large deviations and wandering exponent for random walk in a dynamic beta environment
ANNALS OF PROBABILITY 47:(4), pp. 2186-2229 (2019)
[Arxiv] Notice: version v1 contains all the proofs, v2 cites some of them from a concurrent and independent manuscript by H. Chaumont and C. Noack. [At publisher]
M. Balázs, Lewis Duffy, Dimitri Pantelli
Q-zero range has random walking shocks
JOURNAL OF STATISTICAL PHYSICS 174:(5) pp. 958-971. (2019)
[Arxiv] [At publisher] [DOI]
Jacob Calvert, M. Balázs, Katerina Michaelides
Unifying particle-based and continuum models of hillslope evolution with a probabilistic scaling technique
JOURNAL OF GEOPHYSICAL RESEARCH - EARTH SURFACE 123 pp. 3124–3146 (2018)
Notice: this manuscript contains heuristic arguments. Rigorous proofs are on their way in a forthcoming paper.
[Arxiv] [At publisher]
M. Balázs, Ross Bowen
Product blocking measures and a particle system proof of the Jacobi triple product
ANNALES DE L'INSTITUT HENRI POINCARÉ-PROBABILITÉS ET STATISTIQUES 54:(1) pp. 514-528 (2018)
[Arxiv] [At publisher] [PDF file]
M. Balázs, Attila László Nagy
How to initialize a second class particle?
ANNALS OF PROBABILITY 45:(6A), pp. 3535-3570 (2017)
[Arxiv] [At publisher]
M. Balázs, Attila László Nagy, Bálint Tóth, István Tóth
Coexistence of shocks and rarefaction fans: complex phase diagram of a simple hyperbolic particle system
JOURNAL OF STATISTICAL PHYSICS 165:(1) pp. 115-125. (2016)
[Arxiv] [At publisher] [Springer Nature content sharing]
M. Balázs, Áron Folly
An electric network for non-reversible Markov chains
THE AMERICAN MATHEMATICAL MONTHLY Vol. 123, No. 7 (August-September 2016), pp. 657-682
[Arxiv] [At publisher]
M. Balázs, Attila László Nagy
Dependent Double Branching Annihilating Random Walk
ELECTRONIC JOURNAL OF PROBABILITY 20: Article 84 (32 pages) (2015)
[Arxiv] [At publisher]
M. Balázs, Dávid Zoltán Szabó
Comparing dealing methods with repeating cards
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS 11 (2), 615–630 (2014)
[Arxiv], [At publisher]
M. Balázs, Miklós Zoltán Rácz, Bálint Tóth
Modeling Flocks and Prices: Jumping Particles with an Attractive Interaction
ANNALES DE L'INSTITUT HENRI POINCARÉ-PROBABILITÉS ET STATISTIQUES Vol. 50, No. 2, 425–454. (2014)
[Arxiv], [At publisher]
M. Balázs, Júlia Komjáthy, Timo Seppäläinen
Microscopic concavity and fluctuation bounds in a class of deposition processes
ANNALES DE L'INSTITUT HENRI POINCARÉ-PROBABILITÉS ET STATISTIQUES 48:(1) pp. 151-187. (2012)
[Arxiv], [At publisher]
M. Balázs, Júlia Komjáthy, Timo Seppäläinen
Fluctuation bounds in the exponential bricklayers process
JOURNAL OF STATISTICAL PHYSICS 147:(1) pp. 35-62. (2012)
[Arxiv], [At publisher]
M. Balázs, Jeremy Quastel, Timo Seppäläinen
Fluctuation exponent of the KPZ/stochastic Burgers equation
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 24: pp. 683-708. (2011)
[Arxiv], [At publisher]
M. Balázs, Gábor Horváth, Sándor Kolumbán, Péter Kovács, Miklós Telek
Fluid level dependent Markov fluid model with continuous zero transition
PERFORMANCE EVALUATION 68:(11) pp. 1149-1161. (2011)
[PDF], [At publisher]
M. Balázs, György Farkas, Péter Kovács, Attila Rákos
Random walk of second class particles in product shock measures
JOURNAL OF STATISTICAL PHYSICS 139:(2) pp. 252-279. (2010)
[Arxiv], [At publisher]
M. Balázs, Timo Seppäläinen
Order of current variance and diffusivity in the asymmetric simple exclusion process
ANNALS OF MATHEMATICS 171:(2) pp. 1237-1265. (2010)
[Arxiv], [At publisher]
M. Balázs, Timo Seppäläinen
Fluctuation bounds for the asymmetric simple exclusion process
ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS VI: pp. 1-24. (2009)
[Arxiv], [At publisher]
M. Balázs, Júlia Komjáthy
Order of current variance and diffusivity in the rate one totally asymmetric zero range process
JOURNAL OF STATISTICAL PHYSICS 133:(1) pp. 59-78. (2008)
[Arxiv], [At publisher]
M. Balázs, Firas Rassoul-Agha, Timo Seppäläinen, Sunder Sethuraman
Existence of the zero range process and a deposition model with superlinear growth rates
ANNALS OF PROBABILITY 35:(4) pp. 1201-1249. (2007)
[Arxiv], [At publisher]
M. Balázs,Timo Seppäläinen
Exact connections between current fluctuations and the second class particle in a class of deposition models
JOURNAL OF STATISTICAL PHYSICS 127:(2) pp. 431-455. (2007)
[Arxiv], [At publisher]
M. Balázs, Timo Seppäläinen
A convexity property of expectations under exponential weights
After completion of this manuscript we learned that our main results can be obtained as a special case of some propositions in Karlin: Total Positivity, Vol. 1. (2007)
[Arxiv]
M. Balázs, Firas Rassoul-Agha, Timo Seppäläinen
The random average process and random walk in a space-time random environment in one dimension
COMMUNICATIONS IN MATHEMATICAL PHYSICS 266:(2) pp. 499-545. (2006)
[Arxiv], [At publisher]
M. Balázs, Eric Cator, Timo Seppäläinen
Cube root fluctuations for the corner growth model associated to the exclusion process
ELECTRONIC JOURNAL OF PROBABILITY 11: pp. 1094-1132. (2006)
[Arxiv], [At publisher]
M. Balázs
Multiple shocks in bricklayers' model
JOURNAL OF STATISTICAL PHYSICS 117:(1-2) pp. 77-98. (2004)
[Arxiv], [At publisher]
M. Balázs
Stochastic bounds on the zero range processes with superlinear jump rates
PERIODICA MATHEMATICA HUNGARICA 47:(1-2) pp. 17-27. (2003)
[At publisher]
M. Balázs
Growth fluctuations in a class of deposition models
ANNALES DE L'INSTITUT HENRI POINCARÉ-PROBABILITÉS ET STATISTIQUES 39:(4) pp. 639-685. (2003)
[Arxiv], [At publisher]
M. Balázs
Közlekedési dugók egy matematikai modellje, a paper in Hungarian for traffic engineers about using the simple exclusion process for modeling traffic jams
URBAN TRAFFIC 3 pp. 162-164. (2003)
M. Balázs,
Egy dugómodell, another paper in Hungarian for high school students about simple exclusion process and traffic jams
MATHEMATICAL AND PHYSICAL JOURNAL FOR SECONDARY SCHOOLS pp. 301-307, May 2003
[At publisher]
M. Balázs
Microscopic shape of shocks in a domain growth model
JOURNAL OF STATISTICAL PHYSICS 105: pp. 511-524. (2001)
[Arxiv], [At publisher]