Ř Note on the “Magic Cube”

*unpublished**,* (1980)

Ř A turbulencia Ruelle-Takens
féle elmélete (The Ruelle-Takens theory
of turbulence)

In: P. Szépfalusy and T.
Tél (editors): *A káosz (The Chaos)*, pp
373-388, Akadémiai Kiadó Budapest, 1982. (in Hungarian)

(electronic version not available)

Ř Persistent
random walks in a one-dimensional random environment (with Domokos Szász)

*Journal of Statistical Physics*, **37** (1984) 27-38

click here to
see the paper

MR0774883 (86e:60056)

Ř A lower bound for the critical probability of the
square-lattice site percolation.

*Zeitschrift** für Wahrscheinlichkeitstheorie
und verw.** Gebiete*,
**69** (1985) 19-22

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see the paper

MR0775849 (86f:60118)

Ř Persistent random walks in random environments.

*Probability Theory and Related Fields*, **71** (1986) 615-625

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MR0833271 (87f:60107)

Ř Bounds
on the limiting variance of the ``heavy particle'' in R^1
(with Domokos Szász)

*Communications in Mathematical Physics*, **104** (1986) 445-457

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here to see the paper

MR0840746 (88h:82015)

Ř Towards
a unified dynamical theory of the Brownian particle in an ideal gas (with Domokos Szász)

*Communications in Mathematical Physics*, **111** (1987) 41-62

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here to see the paper

MR0896758 (89d:82021)

Ř Dynamical
theory of the Brownian particle in a Rayleigh-gas (with Domokos Szász)

*Journal of Statistical Physics*, **47** (1987) 681-695

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here to see the paper

MR0912496 (88k:82080)

Ř *Contributions
to the Dynamical Theory of Brownian Motion --- Mechanical and Probabilistic
models*

*Thesis*, Hungarian Academy of Sciences, Budapest 1988.

(electronic version not available)

Ř Phase transition in an interacting Bose system. An
application of the theory of Ventsel' and Freidlin

*Journal of Statistical Physics*, **61** (1990) 748-764

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to see the paper

MR1086297 (92m:82021)

Ř Exponential
estimates for the Wiener sausage (with Michiel van
den Berg)

*Probability Theory and Related Fields*, **88** (1991) 249-259

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here to see the paper

MR1096482 (92b:60075)

Ř Upper
bound on the condensate in hard core Bose lattice gas

*Journal of Statistical Physics*, **65** (1991) 373-378

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see the paper

MR1134550 (92k:82009)

Ř Failure
of saturated ferromagnetism in the Hubbard model with two holes

*Letters in Mathematical Physics*, **22** (1991) 321-333

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see the paper

MR1131756 (92i:82018)

Ř Probabilistic representation of the quantum Heisenberg
ferromagnet. In: A. Truman and I.M. Davies
(editors):

*Stochastics and Quantum Mechanics, Swansea Summer 1990*, pp. 231-238. World Scientific 1992.

(electronic version not available)

MR1182601 (93g:82012)

Ř Improved
lower bound on the thermodynamical pressure of the
S=1/2 quantum Heisenberg ferromagnet

*Letters in Mathematical Physics*, **28** (1993) 75-84

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to see the paper

MR1224836 (94h:82062)

Ř `True'
self-avoiding walks with generalized bond repulsion on Z

*Journal of Statistical Physics*, **77** (1994) 17-33

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the paper

MR1300526 (95k:82017)

Ř `True'
self-avoiding walk with bond repulsion on Z: limit theorems

*The Annals of Probability*, **23** (1995) 1523-1556

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the paper

MR1379158 (97c:60179)

Ř Multiple
covering of the range of a random walk on Z (On a question of P. Erdős and P. Révész)

*Studia** Sci. Math. Hung.*, **31**
(1996) 355-359

(electronic version not available)

MR1367713 (97b:60118)

Ř *Disordered
Systems and Statistical Physics: Rigorous Results.* Proceedings of the
Conference held in Budapest, 21-25 August 1995. Edited
volume, special issue of

*Markov Processes and Related Fields*, **vol. 2** no. 1. (1996)

click here to see the
table of contents

MR1418403 (97i:82002)

Ř Generalized
Ray-Knight theory and limit theorems for self-interacting random walks

*The Annals of Probability*, **24** (1996) 1324-1367

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the paper

MR1411497 (97i:60090)

Ř `Tied'
favourite edges for simple random walk (with Wendelin Werner)

*Combinatorics, Probability and Computing*, **6** (1997) 359-369

click here to see the
preprint of the paper

MR1464572 (98j:60099)

Ř Limit theorems for weakly reinforced random walks

*Studia** Sci. Math.** Hung.*, **33**
(1997) pp. 321-337

click here to see the
preprint of the paper

MR1454118 (99f:60131)

Ř The
true self-repelling motion (with Wendelin Werner)

*Probability Theory and Related Fields*, **111** (1998) 375-452

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the paper

MR1640799 (99i:60092)

Ř On
some coalescing and annihilating systems of particles (with Alexei Ermakov and Wendelin Werner)

*Journal of Statistical Physics*, **91** (1998) pp. 845-870

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the paper

MR1637254 (99g:82058)

Ř *Random
Walks -- A Collection of Surveys *(editors: Pál Révész and Bálint Tóth)

*Bolyai** Society Mathematical Studies*, **vol.
9** (1999)

click here to see the
table of contents

MR1752728 (2000k:60004)

Ř Self-interacting random motions -- A Survey.

In: P. Révész and B. Tóth
(editors): *Random Walks -- A Collection of Surveys.* *Bolyai**
Society Mathematical Studies*, **9** (1999) 349-384

click here to see
the preprint of the paper

MR1752900 (2001d:60048)

Ř Reflection
and coalescence between independent 1-d Brownian paths (with Florin Soucaliuc and Wendelin Werner)

*Annales** de l'Institut
Henri Poincaré. Probabilités
et Statistiques*, **36**
(2000) 509-545

click here to see
the paper

MR1785393 (2002a:60139)

Ř *``Endre Csáki '65''* (editors: István Berkes, Pál Révész and Bálint Tóth)

*Periodica** Mathematica Hungarica*,
**vol. 41** no. 1/2 (2000) (Special issue dedicated to Endre
Csáki's 65th birthday)

click
here to see table of contents

Ř Favourite sites of simple random walk (with Zhan Shi)

*Periodica** Mathematica Hungarica*,
**41** (2000) pp. 237-249

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see the paper

click here to see the arXived version of the paper

MR1812809 (2002k:60155)

Ř No more than three favourite
sites for simple random walk.

*The Annals of Probability*, **29** (2001) 484-503

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the paper

click here to see the arXived version of the paper

MR1825161 (2002c:60076)

Ř Self-interacting
random motions

In: *Proceedings of the 3rd European Congress of Mathematics, Barcelona 2000,
vol. 1*, pp. 555-565, Birkhauser, 2001.

click here to see the paper

MR1905343 (2003g:60171)

Ř A
signal-recovery system: asymptotic properties and construction of an
infinite-volume limit (with Jacob van den Berg)

*Stochastic Processes and their Applications*, **96** (2001) 177-190

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the paper

click here to see the arXived version of the paper

MR1865354 (2003a:60141)

Ř Hydrodynamic
equation for a deposition model (with Wendelin
Werner)

In: V. Sidoravicius (editor): *In and Out of
Equilibrium*, *Progress in Probability*, **vol. 51** pp. 229-250, Birkhauser, 2002.

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click here to see the arXived version of the paper

MR1901955 (2004c:35272)

Ř Between
equilibrium fluctuations and Eulerian scaling: Perturbation of equilibrium for
a class of deposition models (with Benedek Valkó)

*Journal of Statistical Physics*, **109** (2002) pp. 177-205

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the paper

click here to see the arXived version of the paper

MR1927918 (2003f:82065)

Ř Onsager
relations and Eulerian hydrodynamic limit for systems with several conservation
laws (with Benedek Valkó)

*Journal of Statistical Physics*, **112** (2003) pp. 497-521

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see the paper

click here to see the arXived version of the paper

MR1997260 (2004g:82094)

Ř Kétkomponensű részecskerendszerek
hiperbolikus hidrodinamikai
limesze. (Hyperbolic
hydrodynamic limit of two-component interacting particle systems. [in Hungarian])

MTA (Hungarian Academy of Sciences) 2003

click here to see the
preprint of the paper

Ř Derivation
of the Leroux system as the hydrodynamic limit of a two-component lattice gas (with
József Fritz)

*Communications in Mathematical Physics*, **249** (2004) pp. 1-27

DOI 10.1007/s00220-004-1103-x

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see the paper

click here to see the arXived version of the paper

MR2077251 (2005f:82063)

Ř Perturbation
of singular equilibria of hyperbolic two-component systems: a universal
hydrodynamic limit (with Benedek Valkó)

*Communications in Mathematical Physics*, **256** (2005) pp. 111-157

DOI 10.1007/s00220-005-1314-9

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the paper

click here to see the arXived version of the paper

MR2134338 (2005k:82069)

Ř Random
trees and general branching processes (with Anna Rudas
and Benedek Valkó)

*Random Structures and Algorithms* **31** (2007) 186-202

DOI 10.1002/rsa.20137

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the paper

click here to see the arXived version of the paper

Ř Statistical
mechanical systems on complete graphs, infinite exchangeability, finite
extensions and a discrete moment problem (with Thomas M. Liggett and Jeffery E.
Steif)

*The Annals of Probability* **35** (2007) 867-914

DOI 10.1214/009117906000001033

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the paper

click here to see arXived version of the paper

Ř On
the zero mass limit of tagged particle diffusion in the 1-d rayleigh
gas (with Péter Bálint and Péter Tóth)

*Journal of Statistical Physics* **127** (2007) 657--675

DOI 10.1007/s10955-007-9304-2

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the paper

click here to see arXived version of the paper

Ř Modeling
the Epps effect of cross-correlations in asset prices (with János
Kertész and Bence Tóth)

*Proceedings of SPIE Vol. 6601 (Fluctuations and
Noise 2007)*

DOI 10.1007/s10955-007-9304-2

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Ř Skorohod-reflection of Brownian Paths and BES^3 (with Bálint Vető)

*Acta** Sci. Math (Szeged)* **73**
(2007) 781-788

click here to see arXived
version of the paper,

Ř Triangle
percolation in mean field random graphs -- with PDE
(with Balázs Ráth)

*Journal of Statistical Physics* **131** (2008) 385-391

DOI: 10.1007/s10955-008-9499-x

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to see the paper

click here to see the arxived version of the paper

Ř Self-repelling
random walk with directed edges on Z (with Bálint Vető)

*Electronic Journal of Probability* **13**, paper no. 62, pp. 1909–1926
(2008)

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click here to see arXived
version of the paper

Ř Random
tree growth with branching processes -- a survey (with Anna Rudas)

In: B. Bollobas, R. Kozma,
D. Miklos (eds) *Handbook of Large-Scale Random
Networks*

*Bolyai** Society Mathematical Studies* **vol.
18**, Springer, Berlin-Heidelberg-New York, 2008

click
here to see the paper

Ř Erdős-Renyi ramdom graphs + forest
fires = self-organized criticality (with Balázs Ráth)

*Electronic Journal of Probability* **14** (2009), Paper no. 45, pages
1290–1327

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click here to see arXived
version of the paper

Ř Continuous
time ‘true’ self-avoiding random walk on Z (with Bálint
Vető)

*ALEA**, Lat. Am. J. Probab.
Math. Stat.* **8** (2011) 59–75

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click here to see arXived
version of the paper

Ř On
the range, local times and periodicity of random walk on an interval (with Siva
Athreya and Sunder Sethuraman)

*ALEA**, Lat. Am. J. Probab.
Math. Stat.* **8** (2011) 269--284

click here to see the paper

click here to see arXived
version of the paper

Ř Diffusivity
bounds for 1d Brownian polymers (with Pierre Tarrčs and Benedek Valkó)

*The Annals of Probability*, **40** (2012) 695-713

click here to see arXived
version of the paper

Ř Diffusive
limits for "true" (or myopic) self-avoiding random walks and self-repellent
Brownian polymers in three and more dimensions (with Illés
Horváth and Bálint Vető)

*Probability Theory and Related Fields* **153** (2012) 691-726

click here to see arXived
version of the paper

(earlier versions here and here )

Ř Some
locally self-interacting walks on the integers (with Anna Erschler
and Wendelin Werner)

In: J-D. Deuschel, B. Gentz,
W. König, M. von Renesse,
M. Scheutzow, U. Schmock
(editors), *Probability in Complex Physical Systems (Festschrift for Erwin Bolthausen and Jürgen Gärtner)*,
pp. 313-338, Springer, 2012.

click here to
see arXived version of the paper

Ř Stuck
walks (with Anna Erschler and Wendelin
Werner)

*Probability Theory and Related Fields* **154** (2012) 149-163

click here to see arXived
version of the paper

Ř Superdiffusive bounds on self-repellent Brownian polymers
and diffusion in the curl of the Gaussian free field in d=2 (with Benedek Valkó)

*Journal of Statistical Physics* **147** (2012) 113-131

click here to see arXived
version of the paper

Ř Relaxed
sector condition (with Illés Horváth
and Bálint Vető)

*Bulletin of the Institute of Mathematics, Academia Sinica
(N.S.)* **7** (2012) 463-476

click here to see arXived
version of the paper

Ř Marginal
densities of the "true" self-repelling motion (with Laure Dumaz)

*Stochastic Processes and their Applications* **123** (2013) 1454-1471

click here to see arXived
version of the paper

Ř Comment
on a theorem of M. Maxwell and M. Woodroofe

*Electronic Communications in Probability, ***18** (2013), paper no.
13, 1-4

click here to see of the
paper

Ř Modelling power-law
distributed interevent times (with János Kertész and Szabolcs Vajna)

*New Journal of Physics, ***15:**10 (2013) paper no: 103023

click here to see arXived
version of the paper

* *

Ř Modeling
flocks and prices: jumping particles with an attractive interaction (with Márton Balázs and Miklós Z. Rácz)

*Annales** de l'Institut
Henri Poincaré -- Probabilités
et Statistiques* **50** (2014) 425-454

click here to see arXived
version of the paper

Ř Superdiffusion in the periodic Lorentz gas (with Jens Marklof)

*Communications
in Mathematical Physics, ***347** (2016) 933-981

click here to see arXived version of the paper

Ř Cluster growth in the mean field forest fire model (with Edward Crane and Nic Freeman)

*Electronic**
Journal of Probability, ***20** (2015) paper no. 101, pp 1-33

click here to see arXived version of the paper

Ř Central limit theorem for random walks in divergence-free random drift field: $H_{-1}$ suffices (with Gady Kozma)

*[early
version of next item]*

click here to see arXived version of the paper

Ř Central limit theorem for random walks in doubly stochastic random environment: $H_{-1}$ suffices (with Gady Kozma)

*The Annals of
Probability* (to appear, 2017)

click here to see arXived version of the paper

Ř Coexistence of shocks and rarefaction fans: complex phase diagram of a simple hyperbolic particle Ssystem (with Márton Balázs, Attila László Nagy and István Tóth)

*Journal of Statistical Physics*, **165**,
115–125 (2016)

click here to see arXived version of the paper

Ř Quenched central limit theorem for random walks in doubly stochastic random environment

*submitted** for publication*

click here to see arXived version of the paper

This is my full list of mathematical papers with links to the PDF files wherever this is available. For the list of my papers in various other databases click on the following links:

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