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*unpublished,* (1980)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

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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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see the paper

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

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preprint of the paper

MR1464572
(98j:60099)

Ř Limit theorems for weakly
reinforced random walks

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

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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

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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

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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.

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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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the paper

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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

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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

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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

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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

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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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the paper

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

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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

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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

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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

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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)

*The Annals
of Probability* (revised,
March 2016)

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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

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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