Publications

Daniel Berend

Publications

D. Berend, Multi-Invariant Sets on Tori, Trans. Amer. Math. Soc. 280 (1983), 509 - 532.
D. Berend, and V. Bergelson, Ergodic and Mixing Sequences of Transformations, Ergod. Th. & Dynam. Sys. 4 (1984), 353 - 366.
D. Berend, Multi-Ivariant Sets on Compact Abelian Groups, Trans. Amer. Math. Soc. 286 (1984), 505 - 535.
D. Berend and V. Bergelson, Jointly Ergodic Measure-Preserving Transformations, Israel J. of Math. 49 (1984), 307 - 314.
D. Berend, Minimal Sets on Tori, Ergod. Th. & Dynam. Sys. 4 (1984), 499 - 507.
D. Berend, Ergodic Semigroups of Epimorphisms, Trans. Amer. Math. Soc. 289 (1985), 393 - 407.
D. Berend, Minimal F₂-Flows, Australian Math. Soc. J. Ser. A 39 (1985), 181 - 193.
D. Berend, Joint Ergodicity and Mixing, J. d'Analyse Math 45 (1985), 255 - 284.
D. Berend and V. Bergelson, Mixing Sequences in Hilbert Spaces, Proc. Amer. Math. Soc. 98 (1986), 239 - 246.
D. Berend and V. Bergelson, Characterization of Joint Ergodicity for Non-Commuting Transformations, Israel J. of Math 56 (1986), 123 - 128.
D. Berend, Actions of Sets of Integers on Irrationals, Acta Arithmetica 48 (1987), 275 - 306.
D. Berend, Parallelepipeds in Sets of Integers, J. of Combinatorial Theory Ser. A 45 (1987), 163 - 170.
D. Berend, Dense (mod. 1) Dilated Semigroups of Algebraic Numbers, J. of Number Theory 26 (1987), 246 - 256.
D. Berend, Multiple Ergodic Theorems, J. d'Analyse Math. 62 (1988), 123 - 142.
D. Berend, A Recurrence Property of Smooth Functions, Israel J. of Math. 62 (1989), 32 - 36.
D. Berend, Density Modulo 1 in Local Fields, Acta Arithmetica 52 (1989), 267 - 282.
D. Berend, Irrational Dilations of Approximate Multiplicative Semigroups of Integers, in Number Theory, J.M. De-Koninck & C. Levesque - editors , 29 -- 40, Walter de Gruyter, Berlin, New-York, 1989.
Y. Avishai and D. Berend, Transmission Through a One-Dimensional Fibonacci Sequence of Delta Function Potentials, Physical Reviews B 41 (1990), 5492 - 5500.
D. Berend and G. Katz, Separating Topology and Number Theory in the Atiyah-Singer g-Signature Formula, Duke Math. J. 61 (1990), 939 - 971.
D. Berend, IP-Sets on the Circle, Canadian J. of Math. 42 (1990), 575 - 589.
D. Berend and G. Kolesnik, Distribution Modulo 1 of some Oscillating Sequences, Israel J. of Math 71 (1990), 161 - 179.
Y. Avishai and D. Berend, Transmission Through a Fibonacci Chain, Physical Reviews B 43 (1991), 6873 - 6879.
D. Berend and G. Katz, Concentrated Cyclic Actions of High Periodicity, Trans. Amer. Math. Soc. 114 (1992), 665 - 689.
D. Berend, A Note on the L^p Analogue of the ``Zero-Two Law'', Proc. Amer. Math. Soc. 114 (1992), 95 - 97.
D. Berend and C. F. Osgood, On the equation P(x) = n! and a Question of Erdős, J. of Number Theory 42 (1992), 189 - 193.
Y. Avishai and D. Berend, Transmission through a Thue-Morse Chain, Physical Reviews B 45 (1992), 2717 - 2724.
D. Berend and W. Moran, The Inhomogeneous Minimum of Binary Quadratic Forms, Math. Proc. Cambridge Phil. Soc. 112 (1992), 7 - 19.
D. Berend and Y. Peres, Asymptotically Dense Dilations of Sets on the Circle, J. London Math. Soc. (2) 47 (1993), 1 - 17.
D. Berend and C. Radin, Are there Chaotic Tilings ?, Comm. Math. Phys. 152 (1993), 215 - 219.
D. Berend and J. E. Harmse, Expert Rule versus Majority Rule under Partial Information, Theory and Decision 35 (1993), 179 - 197.
Y. Avishai and D. Berend, Trace Maps for Arbitrary Substitution Sequences, J. of Physics A 26 (1993), 2437 - 2443.
D. Berend and J. E. Harmse, Gaps between Censecutive Divisors of Factorials, Ann. Inst. Fourier 43 (1993), 569 - 583.
D. Berend, Roots for a Family of Transformations, Indag. Math. N.S. 5 (1994), 1 - 8.
D. Berend and C. Frougny, Computability by Finite Automata and Pisot Bases, Math. Systems Th. 27 (1994), 275 - 282.
D. Berend and M. Boshernitzan, On a Result of Mahler on the Decimal Expansion of , Acta Arithmetica 66 (1994), 315 - 322.
Y. Avishai, D. Berend and D. Glaubman, Minimum-Dimension Trace Maps for Substitution Sequences, Phys. Rev. Lett. 72 (1994), 1842 - 1845.
D. Berend, On the Roots of Certain Sequences of Congruences, Acta Arithmetica 67 (1994), 97 - 104.
D. Berend and M. Boshernitzan, Densing Sets, Adv. in Math. 115(1995), 286 - 299.
D. Berend and M. Boshernitzan, Numbers with Complicated Decimal Expansions, Acta Math. Hungar. 66 (1995), 113 - 126.
D. Berend, M. Boshernitzan and G. Kolesnik, Distribution Modulo 1 of Some Oscillating Sequences, II, Israel J. of Math. 92 (1995), 125 - 147.
D. Berend and Y. Bilu, Polynomials with Roots Modulo Every Integer, Proc. Amer. Math. Soc. 124 (1996), 1663-1671.
D. Berend, Parity of Exponents in the Factorization of n!, J. of Number Theory 64 (1997), 13-19.
Y. Avishai, D. Berend and V. Tkachenko, Trace Maps, Int. J. of Mod. Phys. B 11 (1997), 3525-3542.
D. Berend and J. E. Harmse, On some Arithmetical Properties of Middle Binomial Coefficients, Acta Arithmetica 84 (1998), 31-41.
Y. Avishai, D. Berend and R. Berkovits, Statistics of Addition Spectra of Independent Quantum Systems, Jour. of Phys. A (Math. Gen.) 31 (1998), 8063-8072.
D. Berend and J. Paroush, When is Condorcet's Jury Theorem Valid?, Social Choice and Welfare 15 (1998), 481-488.
D. Berend, M. Boshernitzan and G. Kolesnik, Distribution Modulo 1 of Some Oscillating Sequences, III, preprint.
Y. Avishai, D. Berend and R. Berkovits, Fluctuation of Conductance-Peak Spacings in Large Semiconductor Quantum Dots, Phys. Rev. B 59 (1999), 10707-10711.
D. Berend, M. Boshernitzan and G. Kolesnik, Irrational Dilations of Pascal's Triangle, preprint.
Y. Avishai, D. Berend and R. Berkovits, Fluctuation of Inverse Compressibility for Electronic Systems with Random Capacitive Matrices, in "Waves in Random Media", to appear.
D. Berend and L. Sapir, Between the Expert and Majority Rules, Adv. in Appl. Prob., to appear.
D. Berend and J. Harmse, On Polynomial-Factorial Diophantine Equations, Trans. Amer. Math. Soc., to appear.
D. Berend and L. Sapir, Monotonicity in Condorcet Jury Theorem, Social Choice and Welfare, to appear.
D. Berend, E. Korach and O. Yahalom, Anticoloring of General and Special Graphs, preprint.
D. Berend and L. Sapir, Range of the Asymptotic Behavior of the Optimality Probability of the Expert and Majority Rules, preprint.
D. Berend and S.S. Skiena, Combinatorial Dominance Guarantees for Heuristic Algorithms, preprint.
D. Berend, E. Korach and R. Ohayon, Crankback Prediction in Networks with Inaccurate QoS Information, preprint.
Daniel Berend