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LIST OF PUBLICATIONS BY Domokos SZÁSZ |
- 1.
- On the general branching process with continuous time parameter. Studia Sci. Math. Hung. 2(1967), 227-246.
- 2.
- Spreading processes (in Hungarian). Graduate thesis. Budapest, 1967.
- 3.
- The applications of distribution functions in water resource management (in Hungarian). Hidrologiai közlöny, 1968, 433-446, (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, 535-545. (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 (co-author)
- 6.
- Asymptotically uniform sequences of measures. Studia Sci. Math. Hung. 4(1969), 313-329.
- 7.
- The behaviour of power series in a boundary point of the circle of convergence
(in Hungarian), Mat.Lapok, 20(1969) 347-350.
- 8.
- Matching problems. Colloquia Math. Soc. János Bolyai. 4. Combinatorial Theory and its Appl. (Balatonfüred, 1969), 695-703. (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. 475-482. (with W. Woyczynski)
- 10.
- Once more on the Poisson process. Studia Sci. Math. Hung. 5(1970), 441-444.
- 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. 60-92. (with G.O.H. Katona)
- 13.
- On a problem of summation theory with random indices (in Russian). Litovski Mat. Sbornik, 11(1971), 181-187. (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), 867-874.
- 16.
- Limit theorems for stochastic processes stopped at random (in Russian). Theory of Probability and Appl. 16(1971), 557-569.
- 17.
- On the weak convergence of sequences of probability distributions (in Hungarian). Matematikai Lapok, 11(1971), 283-287.
- 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), 424-439.
- 19.
- On the rate of convergence in Levy's metric for randomly indiced sums. Colloquia Math. Soc. János Bolyai, 9(1972), 781-787.
- 20.
- Limit theorems for the distribution of the sums of a random number of random variables. Ann. of Math. Statistics, 43(1972), 1902-1913.
- 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, 607-615.
- 23.
- Determination of fitting discharge distribution functions (in Hungarian). Hidrologiai Közlöny, 1972, No. 1. 1-15. (with M. Domokos).
- 24.
- On rolling characteristic functions. Periodica Math. Hung. 3(1973), 13-17.
- 25.
- Limit theorems for sums of a random number of random variables. Transactions of the Sixth Prague Conf. Prague, 1973, 833-838.
- 26.
- A limit theorem for semi-Markov processes. J. of Applied Probability, 11(1974), 521-528.
- 27.
- A collision model on the two-dimensional square-lattice. Z. für Wahrscheinlichkeitstheorie, 31(1974), 75-77. (with Dao-Quang-Tuyen)
- 28.
- On a non-linear optimization problem (in Russian). Studia Sci. Math. Hung. 9(1974), 93-100.
- 29.
- On a metrization of the vague convergence. Studia Sci. Math. Hung. 9(1974), 219-222.
- 30.
- On a problem of Cox concerning controlled variability processes in Rk Ann. of Probability. 3(1975), 597-607. (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 two-component paralleled system. Colloquia Math. Soc. János Bolyai. 11(1975), 347-349.
- 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), 218-219. (with P. Major)
- 35.
- Renewal theory and multicomponent reliability systems. Adv. in Applied probability. 8(1976), 239-240.
- 36.
- A problem of two lifts. Ann. of Probability. 5(1977), 550-559.
- 37.
- Uniformity in Stone's decomposition of the renewal measure. Ann. of Probability. 5(1977), 560-564.
- 38.
- Correlation inequalities for non-purely ferromagnetic systems. J. of Statistical Physics. 19(1980), 453-459.
- 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), 231-240.
- 41.
- On the effect of collisions on the motion of an atom in R1 Ann. of Probability. 8(1980), 1968-1078. (with P. Major)
- 42.
- Random Fields. Rigorous Results in Statistical Mechanics and Quantum Field Theory. I-II. Colloquia Math. Soc. János Bolyai. Vol. 27. pp. 1111. (Co-Editors: J. Fritz and J.L. Lebowitz)
- 43.
- Dynamical theories of motion. Colloquia Math. Soc. János Bolyai, 27(1981), 1019-1031.
- 44.
- Random walk in an inhomogeneous medium with local impurities. J. of Statistical Physics. 2(1981), 527-537. (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), 33-57.
-
- c)
- ibidem. 30(1982).
- 46.
- Ergodic theory and chaos (in Hungarian). in Chaos. Eds.: P. Szépfalusy and T. Tél, Budapest, 1982. 437-478.
- 47.
- Convergence to equilibrium of the Lorentz gas. Colloquia Math. Soc. János Bolyai, 35(1983), 757-766. (with A. Krámli)
- 48.
- Random walks with internal degrees of freedom. I. Local limit theorems. Z. für Wahrscheinlichkeitstheorie. 63*1983), 85-95. (with A. Krámli)
- 49.
- Appendix to a paper by A. Telcs entitled "Random walks with internal states". Colloquia Math. Soc. János Bolyai. 36(1983), 1060-1068. (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), 519-528. (with A. Krámli)
- 52.
- Random walks with internal degrees of freedom. II. First-hitting probabilities. Z. für Wahrscheinlichkeitstheorie 68(1984), 53-64, (with A. Krámli)
- 53.
- Persistent random walks in a one-dimensional random environment. J. of Statistical Physics. 37(1984), 27-38. (with B. Tóth)
- 54.
- Level-hitting probabilities for random walks with internal states. Proceedings of the IX-th IFAC World Congress Budapest, 1984. Vol. 5, 30-35. (with A. Krámli)
- 55.
- Random walks with internal states and the Fourier law of heat conduction. Proc. of the American-Hungarian Workshop on Multivariate Analysis, ... Stanford, 1984. 28-31. (with A. Krámli and N. Simányi)
- 56.
- The problem of recurrence for Lorentz processes. Communications in Math. Physics. 98(1985), 539-552. (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), 603-617. (with A. Krámli and N. Simányi)
- 59.
- Bounds for the limiting variance of the heavy particle. Communications in Math. Physics. 104(1986), 445-455. (with B. Tóth)
- 60.
- Heat conduction in caricature models of the Lorentz gas. J. of Statistical Physics, 46(1987), 303-318. (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), 681-693. (with B. Tóth)
- 63.
- A non-Wiener random walk in a 2-D Bernoulli environment. J. of Statistical Physics. 50(1988), 599-609. (with A. Krámli and P. Lukács)
- 64.
- Dispersing billiards without focal points on surfaces are ergodic. Commun. in Math. Physics. 125(1989). 439-458 (with A. Krámli and N. Simányi)
- 65.
- Ergodic properties of semi-dispersing billiards. I. Two cylindric scatteres in the 3-D torus. Nonlinearity. 2(1989), 311-326. (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 Thue-Morse lattices. Physica D, 38(1989), 141-153 (with S. Goldstein, K. Kelly and J. Lebowitz)
- 68.
- The K-Property of Three Billiard Balls. Annals of Mathematics. 133 (1991), 37-72 (with A. Krámli and N. Simányi)
- 69.
- A ,Transversal' Fundamental Theorem for Semi-Dispersing Billiards. Communications in Math. Physics. 129 (1990) 535-560 (with A. Krámli and N. Simányi) Erratum: ibidem 129 (1991) 207-208
- 70.
- The K-Property of Four Billiard Balls. Communications in Math. Physics. 144 (1992), 107-148 (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, 512-520
- 72.
- The K-Property of Some Planar Hyperbolic Billiards. Communications in Math. Physics. 145 (1992), 595-604
- 73.
- Ergodicity of Classical Billiard Balls. Physica A. 194 (1993) 86-92.
- 74.
- The K-Property of `Orthogonal' Cylindric Billiards. Commun. Math. Phys. 160 (1994), 581-597
- 75.
- The K-Property of 4-D Billiards with Non-Orthogonal Cylindric Scatterers. J. Stat. Phys. 76 (1994) 587-604 (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), 299-322
- 77.
- The K-Property of Hamiltonian Systems with Restricted Hard Ball Interactions, Mathematical Research Letters, 2 (1995), 751-770 (with N. Simányi)
- 78.
- The Boltzmann-Sinai Ergodic Hypothesis for Hard Ball Systems. manuscript, 1995. (with N. Simányi)
- 79.
- Hard Ball Systems are Completely Hyperbolic, Annals of Mathematics 149 (1999), 35-96 (with N. Simányi)
- 80.
- European Congress of Mathematics I-II, Budapest, 1996, Proceedings, Progress in Mathematics, Birkhäuser (Co-Editors: A. Balog, G. O. H. Katona, A Recski)
- 81.
- Non-Integrability of Cylindric Billiards and Transitive Lie-group Actions, Ergodic Theory and Dynamical Systems, 20 (2000), 593-610 (with N. Simányi)
- 82.
- Ball-Avoiding Theorems, Ergodic Theory and Dynamical Systems, invited survey paper, 20 (2000), 1821-1849
- 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), 119-150 (with P. Bálint, N. Chernov and I. P. Tóth)
- 85.
- Multi-dimensional Semi-Dispersing Billiards: Singularities and the Fundamental Theorem, Annales Henri Poincaré, 3 (2002), 451-482 (with P. Bálint, N. Chernov, I. P. Tóth)
- 86.
- Ulam's Scheme Revisited: Digital Modeling of Chaotic Attractors via Micro-Perturbations. Discrete and Continuous Dyn. Systems, Ser. A. 9 (2003), 859-876 (with G. Domokos)
- 87.
- Local Limit Theorem and Recurrence for the Planar Lorentz Process, Ergodic Theory and Dynamical Systems, 24 (2004), 257-278 (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. 461-477. (with T. Varjú)
- 89.
- Limit Laws and Recurrence for the Planar Lorentz Process with Infinite Horizon, J. Statist. Phys. 129:59-80, 2007. (with T. Varjú)
- 90.
- Recurrence Properties of Planar Lorentz Process, Duke Math. Journal, 142: 241-281, 2008
(with D. Dolgopyat and T. Varjú).
- 91.
- Algebro-Geometric Methods for Hard Ball Systems. Discrete and Continuous Dyn. Systems, Ser. A. 22:427-443, 2008
- 92.
- Limit Theorems for Perturbed Lorentz Processes, Duke Math. Journal, 148: 459-499, 2009 (with D. Dolgopyat and T. Varjú)
-
- 93.
- Some challenges in the theory of (semi)-dispersing billiards. Nonlinearity, invited paper, 21:187-193 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. Pajor-Gyulai 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, 11-13.
96.
Energy transfer and joint diffusion, J. Stat. Physics, (with Zs. Pajor-Gyulai) {\bf } (DOI) 10.1007/s10955-012-0426-9 {\bf 1,447}
- 97.
- Locally Perturbed Random Walks with Unbounded Jumps, J. Stat. Physics, 141:1116-1130, 2010, (with D. Paulin)
- 98.
- Perturbation approach to scaled type Markov renewal processes with infinite mean. (manuscript, with Zs. Pajor-Gyulai)
- 99.
- Weak convergence of random walks, conditioned to stay away. Studia Math. Sci. Hung. 50, 122-128, ( with Zs. Pajor-Gyulai)
- 100.
- Mixing rates of particle systems with energy exchange. Nonlinearity, {\bf 25} 2349-2376, 2012, (with Alexander Grigo and Konstantin Khanin)
- 101.
- A central limit theorem for time-dependent dynamical systems, J. Stat. Physics, {\bf 146} 1213-1220, 2012 (with P. Nándori and T. Varjú)
-
- 102.
- Lorentz Process with shrinking holes in a wall, Chaos, {\bf 22}, 026115:1-10, 2012 (with P. Nándori)
-
- 103.
- Ya. G. Sinai: Selecta, Volumes I and II, Book Review, J. Stat. Physics, {\bf 146}, 1303-1305
-
- 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
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- A.
- Has the Enigma of the Margin Been Solved? (in Hungarian) Természet Világa (World of Science), 124 (1993), 483-484.
- 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, 69-73
- D.
- Kolmogorov, the "Cosmic" Mathematician, (in Hungarian), Magyar Tudomány (Hungarian Science), 48 (2003), 499-503
- E.
- The Mathematician, (in Hungarian) Természet Világa (World of Science), 134 (2003), Special Issue III Dedicated to von Neumann, 3-7
- F.
- John von Neumann, the Mathematician, Mathematical Intelligencer, 33 (2011), Issue 2, 42-51.
- G.
- Response to the question of Ádám Török (economist) (in Hungarian) IPM Magazin.. 8 (2009), 109.
April, 2013
File translated from TEX by TTH, version 3.61.
On 31 Aug 2004, 13:17.
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