

LIST OF PUBLICATIONS BY Domokos SZÁSZ 
 1.
 On the general branching process with continuous time parameter. Studia Sci. Math. Hung. 2(1967), 227246.
 2.
 Spreading processes (in Hungarian). Graduate thesis. Budapest, 1967.
 3.
 The applications of distribution functions in water resource management (in Hungarian). Hidrologiai közlöny, 1968, 433446, (with M. Domokos)
 4.
 Generation of fitting distribution functions of discharges by electronic computer. Publ. 81. IASH "The use of analogue and digital computers in hydrology" (Tuscon, Arizona, 1968), Vol. II, 535545. (with M. Domokos)
 5.
 Probability, Mathematical Statistics and their Applications. Lecture Notes. Ed.: Medgyessy and G. Tusnády, Math. Inst. of Hung. Acad. of Sciences, Budapest, 1968 (coauthor)
 6.
 Asymptotically uniform sequences of measures. Studia Sci. Math. Hung. 4(1969), 313329.
 7.
 The behaviour of power series in a boundary point of the circle of convergence
(in Hungarian), Mat.Lapok, 20(1969) 347350.
 8.
 Matching problems. Colloquia Math. Soc. János Bolyai. 4. Combinatorial Theory and its Appl. (Balatonfüred, 1969), 695703. (with G.O.H. Katona)
 9.
 Poissonian random measures and linear processes with independent pieces. Bull. de l'Acad. Polonaise des Sci. Ser. Math. 18(1970) No. 8. 475482. (with W. Woyczynski)
 10.
 Once more on the Poisson process. Studia Sci. Math. Hung. 5(1970), 441444.
 11.
 The asymptotic behaviour of sums of a random number of independent random variables (in Russian). Thesis. Moscow. 1971. pp. 98.
 12.
 Matching problems. J. of Combinatorial Theory. 10(1971), No. 1. 6092. (with G.O.H. Katona)
 13.
 On a problem of summation theory with random indices (in Russian). Litovski Mat. Sbornik, 11(1971), 181187. (with B. Freyer)
 14.
 Exercises and Problems in Probability Theory (in Hungarian) Budapest, 1971, pp. 331. (with K. Bognár, J. Mogyoródi, A. Prékopa and A. Rényi)
 15.
 On the convergence of sums of point processes with integer marks (in Russian)., Litovski Mat. Sbornik. 11(1971), 867874.
 16.
 Limit theorems for stochastic processes stopped at random (in Russian). Theory of Probability and Appl. 16(1971), 557569.
 17.
 On the weak convergence of sequences of probability distributions (in Hungarian). Matematikai Lapok, 11(1971), 283287.
 18.
 On limiting classes of distributions for sums of a random number of independent, identically distributed random variables (in Russian). Theory of Probability and Appl. 17(1972), 424439.
 19.
 On the rate of convergence in Levy's metric for randomly indiced sums. Colloquia Math. Soc. János Bolyai, 9(1972), 781787.
 20.
 Limit theorems for the distribution of the sums of a random number of random variables. Ann. of Math. Statistics, 43(1972), 19021913.
 21.
 Stability and the law of large numbers from sums of a random number of random variables. Acta Scientiarum Math. 33(1972), 269 274.
 22.
 On the convergence of sums of point processes with integer marks. Stochastic Point Processes, Ed. P.A.W. Lewis, Wiley, 1972, 607615.
 23.
 Determination of fitting discharge distribution functions (in Hungarian). Hidrologiai Közlöny, 1972, No. 1. 115. (with M. Domokos).
 24.
 On rolling characteristic functions. Periodica Math. Hung. 3(1973), 1317.
 25.
 Limit theorems for sums of a random number of random variables. Transactions of the Sixth Prague Conf. Prague, 1973, 833838.
 26.
 A limit theorem for semiMarkov processes. J. of Applied Probability, 11(1974), 521528.
 27.
 A collision model on the twodimensional squarelattice. Z. für Wahrscheinlichkeitstheorie, 31(1974), 7577. (with DaoQuangTuyen)
 28.
 On a nonlinear optimization problem (in Russian). Studia Sci. Math. Hung. 9(1974), 93100.
 29.
 On a metrization of the vague convergence. Studia Sci. Math. Hung. 9(1974), 219222.
 30.
 On a problem of Cox concerning controlled variability processes in R^{k} Ann. of Probability. 3(1975), 597607. (with P. Gács)
 31.
 Some results and problems in the limit theory of random sums. (Independent case). Colloquia Math. Soc. János Bolyai. 11(1975),
 32.
 Shocks in a twocomponent paralleled system. Colloquia Math. Soc. János Bolyai. 11(1975), 347349.
 33.
 Particle systems with collisions. Preprint No. 26/1975 of the Math. Institute of HAS.
 34.
 Letter to the editor: Counterexample to a theorem of D.S. Silvestrov. Theory of Probability and Appl. 20(1975), 218219. (with P. Major)
 35.
 Renewal theory and multicomponent reliability systems. Adv. in Applied probability. 8(1976), 239240.
 36.
 A problem of two lifts. Ann. of Probability. 5(1977), 550559.
 37.
 Uniformity in Stone's decomposition of the renewal measure. Ann. of Probability. 5(1977), 560564.
 38.
 Correlation inequalities for nonpurely ferromagnetic systems. J. of Statistical Physics. 19(1980), 453459.
 39.
 Discussion to the paper by W. Warmuth: Kritische raumlich homogene Verzweigungsprozesse mit abzahlbarer Typenmenge. Math. Nachr. 84(1978).
 40.
 Joint diffusion on the line. J. of Statistical Physics. 23(1980), 231240.
 41.
 On the effect of collisions on the motion of an atom in R^{1} Ann. of Probability. 8(1980), 19681078. (with P. Major)
 42.
 Random Fields. Rigorous Results in Statistical Mechanics and Quantum Field Theory. III. Colloquia Math. Soc. János Bolyai. Vol. 27. pp. 1111. (CoEditors: J. Fritz and J.L. Lebowitz)
 43.
 Dynamical theories of motion. Colloquia Math. Soc. János Bolyai, 27(1981), 10191031.
 44.
 Random walk in an inhomogeneous medium with local impurities. J. of Statistical Physics. 2(1981), 527537. (with A. Telcs)
 45.
 Random point distributions and their applications in reliability theory and statistical physics (in Hungarian)

 a)
 Doctor's thesis. pp. 141. Budapest, 1981.

 b)
 Matematikai Lapok, 30(1982), 3357.

 c)
 ibidem. 30(1982).
 46.
 Ergodic theory and chaos (in Hungarian). in Chaos. Eds.: P. Szépfalusy and T. Tél, Budapest, 1982. 437478.
 47.
 Convergence to equilibrium of the Lorentz gas. Colloquia Math. Soc. János Bolyai, 35(1983), 757766. (with A. Krámli)
 48.
 Random walks with internal degrees of freedom. I. Local limit theorems. Z. für Wahrscheinlichkeitstheorie. 63*1983), 8595. (with A. Krámli)
 49.
 Appendix to a paper by A. Telcs entitled "Random walks with internal states". Colloquia Math. Soc. János Bolyai. 36(1983), 10601068. (with A. Telcs)
 50.
 How to prove the CLT for the Lorentz process by using perturbation theory? Proceedings of the 3rd PSMS (1982). Akadémiai Kiadó, 1983.
 51.
 Central limit theorem for the Lorentz process wia perturbation theory. Communications in Math. Physics. 91(1983), 519528. (with A. Krámli)
 52.
 Random walks with internal degrees of freedom. II. Firsthitting probabilities. Z. für Wahrscheinlichkeitstheorie 68(1984), 5364, (with A. Krámli)
 53.
 Persistent random walks in a onedimensional random environment. J. of Statistical Physics. 37(1984), 2738. (with B. Tóth)
 54.
 Levelhitting probabilities for random walks with internal states. Proceedings of the IXth IFAC World Congress Budapest, 1984. Vol. 5, 3035. (with A. Krámli)
 55.
 Random walks with internal states and the Fourier law of heat conduction. Proc. of the AmericanHungarian Workshop on Multivariate Analysis, ... Stanford, 1984. 2831. (with A. Krámli and N. Simányi)
 56.
 The problem of recurrence for Lorentz processes. Communications in Math. Physics. 98(1985), 539552. (with A. Krámli)
 57.
 Statistical Physics an Dynamical Systems. Rigorous Results. Progress in Physics. Vol. 10. 1985. pp. 481. Birkhauser. (Co Editors: J. Fritz and A. Jaffe)
 58.
 Random walks with internal degrees of freedom. III. Stationary probabilities. Probab. Th. Rel. Fields. 72(1986), 603617. (with A. Krámli and N. Simányi)
 59.
 Bounds for the limiting variance of the heavy particle. Communications in Math. Physics. 104(1986), 445455. (with B. Tóth)
 60.
 Heat conduction in caricature models of the Lorentz gas. J. of Statistical Physics, 46(1987), 303318. (with A. Krámli and N. Simányi)
 61.
 Towards a unified dynamical theory of the Brownian particle in an ideal gas. Communications in Mathematical Physics. 111(1987), 41 62. (with B. Tóth)
 62.
 A dynamical theory of the Brownian motion in the Rayleigh gas. J. of Statistical Physics. 47(1987), 681693. (with B. Tóth)
 63.
 A nonWiener random walk in a 2D Bernoulli environment. J. of Statistical Physics. 50(1988), 599609. (with A. Krámli and P. Lukács)
 64.
 Dispersing billiards without focal points on surfaces are ergodic. Commun. in Math. Physics. 125(1989). 439458 (with A. Krámli and N. Simányi)
 65.
 Ergodic properties of semidispersing billiards. I. Two cylindric scatteres in the 3D torus. Nonlinearity. 2(1989), 311326. (with A. Krámli and N. Simányi)
 66.
 Existence of slow manifold in low order spectral models. Meteorology (to appear, with D. Dévényi, A. Krámli, T. Tél and B. Tóth)
 67.
 Asymmetric random walks on ThueMorse lattices. Physica D, 38(1989), 141153 (with S. Goldstein, K. Kelly and J. Lebowitz)
 68.
 The KProperty of Three Billiard Balls. Annals of Mathematics. 133 (1991), 3772 (with A. Krámli and N. Simányi)
 69.
 A ,Transversal' Fundamental Theorem for SemiDispersing Billiards. Communications in Math. Physics. 129 (1990) 535560 (with A. Krámli and N. Simányi) Erratum: ibidem 129 (1991) 207208
 70.
 The KProperty of Four Billiard Balls. Communications in Math. Physics. 144 (1992), 107148 (with A. Krámli and N. Simányi)
 71.
 Dispersing, Focusing and the Ergodicity of Billiards. in From Phase Transitions to Chaos, World Sci. Publ. ed. G. Györgyi, I. Kondor, L. Sasvári, T. Tél. 1992, 512520
 72.
 The KProperty of Some Planar Hyperbolic Billiards. Communications in Math. Physics. 145 (1992), 595604
 73.
 Ergodicity of Classical Billiard Balls. Physica A. 194 (1993) 8692.
 74.
 The KProperty of `Orthogonal' Cylindric Billiards. Commun. Math. Phys. 160 (1994), 581597
 75.
 The KProperty of 4D Billiards with NonOrthogonal Cylindric Scatterers. J. Stat. Phys. 76 (1994) 587604 (with N. Simányi)
 76.
 Boltzmann's Ergodic Hypothesis, a Conjecture for Centuries? a.) Erwin Schrödinger Institute, Vienna, Technical Report, May 1994 b.) Studia Sci. Math. Hung. 31 (1996), 299322
 77.
 The KProperty of Hamiltonian Systems with Restricted Hard Ball Interactions, Mathematical Research Letters, 2 (1995), 751770 (with N. Simányi)
 78.
 The BoltzmannSinai Ergodic Hypothesis for Hard Ball Systems. manuscript, 1995. (with N. Simányi)
 79.
 Hard Ball Systems are Completely Hyperbolic, Annals of Mathematics 149 (1999), 3596 (with N. Simányi)
 80.
 European Congress of Mathematics III, Budapest, 1996, Proceedings, Progress in Mathematics, Birkhäuser (CoEditors: A. Balog, G. O. H. Katona, A Recski)
 81.
 NonIntegrability of Cylindric Billiards and Transitive Liegroup Actions, Ergodic Theory and Dynamical Systems, 20 (2000), 593610 (with N. Simányi)
 82.
 BallAvoiding Theorems, Ergodic Theory and Dynamical Systems, invited survey paper, 20 (2000), 18211849
 83.
 Hard Ball Systems and the Lorentz Gas, Springer Verlag, Encyclopaedia of Mathematical Sciences, vol. 101, 2000, pp. 458 (Editor)
 84.
 The Geometry of Multidimensional Dispersing Billiards, Astérisque, 286, (2003), 119150 (with P. Bálint, N. Chernov and I. P. Tóth)
 85.
 Multidimensional SemiDispersing Billiards: Singularities and the Fundamental Theorem, Annales Henri Poincaré, 3 (2002), 451482 (with P. Bálint, N. Chernov, I. P. Tóth)
 86.
 Ulam's Scheme Revisited: Digital Modeling of Chaotic Attractors via MicroPerturbations. Discrete and Continuous Dyn. Systems, Ser. A. 9 (2003), 859876 (with G. Domokos)
 87.
 Local Limit Theorem and Recurrence for the Planar Lorentz Process, Ergodic Theory and Dynamical Systems, 24 (2004), 257278 (with T. Varjú)
 88.
 Markov Towers and Stochastic Properties of Billiards, Modern Dynamical Systems and Applications, ed. M. Brin, B. Hasselblatt, Ya. Pesin. CUP, pp. 461477. (with T. Varjú)
 89.
 Limit Laws and Recurrence for the Planar Lorentz Process with Infinite Horizon, J. Statist. Phys. 129:5980, 2007. (with T. Varjú)
 90.
 Recurrence Properties of Planar Lorentz Process, Duke Math. Journal, 142: 241281, 2008
(with D. Dolgopyat and T. Varjú).
 91.
 AlgebroGeometric Methods for Hard Ball Systems. Discrete and Continuous Dyn. Systems, Ser. A. 22:427443, 2008
 92.
 Limit Theorems for Perturbed Lorentz Processes, Duke Math. Journal, 148: 459499, 2009 (with D. Dolgopyat and T. Varjú)

 93.
 Some challenges in the theory of (semi)dispersing billiards. Nonlinearity, invited paper, 21:187193 2008.
 94.
 Billiard Models and Energy Transfer. Proc. of International Congress on Math. Physics held in Prague, 2009, pp. 6. World Scientific. (invited paper, with Zs. PajorGyulai and I. P. Tóth)
 95.
 Laudatio, Poincaré Prize for Ya. G. Sinai. Proc. of International Congress on Math. Physics held in Prague, 2009. World Scientific, 2010, 1113.
96.
Energy transfer and joint diffusion, J. Stat. Physics, (with Zs. PajorGyulai) {\bf } (DOI) 10.1007/s1095501204269 {\bf 1,447}
 97.
 Locally Perturbed Random Walks with Unbounded Jumps, J. Stat. Physics, 141:11161130, 2010, (with D. Paulin)
 98.
 Perturbation approach to scaled type Markov renewal processes with infinite mean. (manuscript, with Zs. PajorGyulai)
 99.
 Weak convergence of random walks, conditioned to stay away. Studia Math. Sci. Hung. 50, 122128, ( with Zs. PajorGyulai)
 100.
 Mixing rates of particle systems with energy exchange. Nonlinearity, {\bf 25} 23492376, 2012, (with Alexander Grigo and Konstantin Khanin)
 101.
 A central limit theorem for timedependent dynamical systems, J. Stat. Physics, {\bf 146} 12131220, 2012 (with P. Nándori and T. Varjú)

 102.
 Lorentz Process with shrinking holes in a wall, Chaos, {\bf 22}, 026115:110, 2012 (with P. Nándori)

 103.
 Ya. G. Sinai: Selecta, Volumes I and II, Book Review, J. Stat. Physics, {\bf 146}, 13031305

 104.
 Tail asymptotics of free path lengths for the periodic Lorentz process. On Dettmann's "Horizon" Conjectures. pp. 30, (submitted, with P. Nándori and T. Varjú) arXiv:1210.2231







 A.
 Has the Enigma of the Margin Been Solved? (in Hungarian) Természet Világa (World of Science), 124 (1993), 483484.
 B.
 The Role of Mathematics in Sciences. Some Thoughts about its Teaching at University. (in Hungarian) Természet Világa (World of Science), 125 (1995), 514.
 C.
 Mathematical Billiards. Chaos and Ergodicity, (in Hungarian) Természet Világa (World of Science), 128 (1998) III. Special Issue, 6973
 D.
 Kolmogorov, the "Cosmic" Mathematician, (in Hungarian), Magyar Tudomány (Hungarian Science), 48 (2003), 499503
 E.
 The Mathematician, (in Hungarian) Természet Világa (World of Science), 134 (2003), Special Issue III Dedicated to von Neumann, 37
 F.
 John von Neumann, the Mathematician, Mathematical Intelligencer, 33 (2011), Issue 2, 4251.
 G.
 Response to the question of Ádám Török (economist) (in Hungarian) IPM Magazin.. 8 (2009), 109.
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