LIST OF SCIENTIFIC PUBLICATIONS

 

Romàn R. Zapatrin

Updated 10 September 2002. Articles in newspapers and musical pieces not included

 

Published Papers

[ 44 ] R.R.Zapatrin, Combinatorial Topology Of Multipartite Entangled States, Journal of Modern Optics, vol. 50, 891­899 (2003); eprint quant-ph/0207058

[ 43 ] Jarosaw Pykacz, Bart D'Hooghe, and Roman R. Zapatrin, Quantum Computers as Fuzzy Computers, Lecture Notes in Computer Science 2206, 526; abstract, full text in Postscript.

[ 42 ] I.Raptis, R.R.Zapatrin, Decomposition of pure states of a quantum register, Quantum Computers and Computation (2002), Vol. 3, in press; eprint quant-ph/0010104

[ 41 ] I.Raptis, R.R.Zapatrin, Algebraic description of spacetime foam, Classical and Quantum Gravity, 18 , 4187­4212 (2001), eprint gr-qc/0102048

[ 40 ] R.R.Zapatrin, Incidence algebras of simplicial complexes, Pure Mathematics and Applications , 11 , 105­118 (2001), eprint math.CO/0001065

[ 39 ] J. Pykacz, B. D'Hooghe and R.R. Zapatrin, Quantum Computers as Fuzzy Computers In: “Computational intelligence: theory and applications”, ed. B. Reusch, Lecture Notes in Computer Science, 2206 , 526­535 (2001)

[ 38 ] G.N.Parfionov, R.R.Zapatrin, Connes duality in Lorentzian geometry, Journal of Mathematical Physics, 41 , 7122­7128 (2000), eprint gr-qc/9803090

[ 37 ] R.B.Breslav, R.R.Zapatrin, Differential Structure of Greechie Logics, International Journal of Theoretical Physics, 39 , 1027­1035 (2000), eprint quant-ph/9902065

[ 36 ] I.Raptis, R.R.Zapatrin, Quantization of discretized spacetimes and the correspondence principle, International Journal of Theoretical Physics, 39 , 1­13 (2000), eprint gr-qc/9904079

[ 35 ] A.A.Grib, R.R.Zapatrin, In Search Of Quantum Topology, Hardronic Journal, 22 , 454­471 (1999) (Preprint RP 72/96, Institute of Mathematics, Statistics and Scientific Computation, University of Campinas, Brazil)

[ 34 ] R.B.Breslav, G.N.Parfionov, R.R.Zapatrin, Topology measurement within the histories approach, Hardronic Journal, 22 , 225­240 (1999), eprint quant-ph/9903011

[ 33 ] R.R.Zapatrin, Representation of finite lattices by annihilators of completely 0-simple semigroups, Semigroup Forum, 59 , 121-125 (1999)

[ 32 ] R.R.Zapatrin, Algebraic duality in the theory of partially ordered sets, Pure Mathematics and Applications, 9 , 485­490 (1998), eprint math.CT/0002025

[ 31 ] R.R.Zapatrin, G.N.Parfionov, Metric duality principle in general relativity, Gravitation 3 , 15­23 (1998) (in Russian)

[ 30 ] V. Kreinovich, R.R.Zapatrin, An operationalistic formulation of Einstein equivalence principle, Gravitation 3 , 51­59 (1998) (in Russian), eprint gr-qc/9705085 (in English)

[ 29 ] R.R.Zapatrin, Finitary Algebraic Superspace, International Journal of Theoretical Physics, 37 , 799­816, (1998), eprint gr-qc/9704062

[ 28 ] G.N.Parfionov, R.R.Zapatrin, Linear Programming Method For Finding Orthocomplements In Finite Lattices International Journal of Theoretical Physics, 37 , 211­213, (1998)

[ 27 ] R.R.Zapatrin, Logical simulation of physical systems by classical automata , In: “Photonic Quantum Computing”, Proceedings of SPIE 3076 , July, 1997, S.P.Hotaling and A.R.Pirich, Eds., 162­172

[ 26 ] J.Pykacz, R.R.Zapatrin, Nonclassical logics for quantum computations , In: “Photonic Quantum Computing”, Proceedings of SPIE 3076 , July, 1997, S.P. Hotaling and A.R. Pirich, Eds., 150­161

[ 25 ] R.R.Zapatrin, Polyhedral representation of discrete differential manifolds, Journal of Mathematical Physics, 38 , 2741­2750 (1997), eprint dg-ga/9602010

[ 24 ] G.N.Parfionov, R.R.Zapatrin, Dual structures in non-commutative differential algebras , Pure Mathematics and Applications, 7 , 165­174, (1996)

[ 23 ] K.Svozil, R.R. Zapatrin, Empirical logic of finite automata: microstatements versus macrostatements, International Journal of Theoretical Physics, 35 , 1541­1548, (1996), eprint quant-ph/9510015

[ 22 ] R.R.Zapatrin, A characterization of polarities whose polar lattice is orthomodular, Czechoslovak Mathematical Journal, 46 (121) , 625­627, (1996)

[ 21 ] A.A.Grib, R.R.Zapatrin, Topologimeter and the problem of the physical interpretation of topology lattice, International Journal of Theoretical Physics, 35 , 593­604, (1996), eprint gr-qc/9507033

[ 20 ] R.R.Zapatrin, Logic Programming As Quantum Measurement, International Journal of Theoretical Physics, 34 , 1813­1821, (1995), eprint quant-ph/9506041

[ 19 ] G.N.Parfionov, R.R.Zapatrin, Pointless Spaces in General Relativity, International Journal of Theoretical Physics, 34 , 737­751, (1995), eprint gr-qc/9503048

[ 18 ] R.R.Zapatrin, Logico-algebraic approach to spacetime quantization, Poznan Studies in the Philosophy of the Science and the Humanities, 44 , 425­430, (1995), eprint gr-qc/9503033

[ 17 ] R.R.Zapatrin, Matrix models for spacetime topodynamics, In: Procs of the ICOMM'95 (Vienna, June 3­6, 1995), 1­19, eprint gr-qc/9503066

[ 16 ] R.R.Zapatrin, A representation theorem for CAC lattices by closures and interiors, Semigroup Forum, 51 , 263­266, (1995)

[ 15 ] R.R.Zapatrin, Quantum Logic Without Negation, Helvetica Physica Acta, 67 , 188­199, (1994)

[ 14 ] R.R.Zapatrin, Boolean machinery for quantum logics, International Journal of Theoretical Physics, 33 , 245­255, (1994)

[ 13 ] R.R.Zapatrin, Pre-Regge Calculus: Topology Via Logic, International Journal of Theoretical Physics, 32 , 779­799, (1993)

[ 12 ] R.R.Zapatrin, Generating *-semigroups for atomistic ortholattices, Semigroup Forum, 47 , 36­47, (1993)

[ 11 ] D.Aerts, B.Van Bogaert, A.A.Grib, R.R.Zapatrin, Quantum Structures in Macroscopical Reality, International Journal of Theoretical Physics, 32 , 489­498, (1993)

[ 10 ] A.A.Grib, R.R.Zapatrin, Macroscopical realisations of quantum logics, International Journal of Theoretical Physics, 31 , 1669­1689, (1992)

[ 9 ] A.A.Grib, R.R.Zapatrin, Topology Lattice As Quantum Logic, International Journal of Theoretical Physics, 31 , 1093­1101, (1992)

[ 8 ] R.R.Zapatrin, Binary Logic Is Rich Enough, International Journal of Theoretical Physics, 31 , 211­219, (1992)

[ 7 ] A.A.Grib, R.R.Zapatrin, Quantum Logical Description of Two-Particle Systems, International Journal of Theoretical Physics, 30 , 949­959, (1991)

[ 6 ] A.A.Grib, R.R.Zapatrin, Automata Simulating Quantum Logics, International Journal of Theoretical Physics, 29 , 113­124, (1990)

[ 5 ] R.R.Zapatrin, Graphs, Polarities, and Finite Ortholattices, In: “Proceedings of the 2nd Winter School on measure theory, January, 7­12, 1990, Liptovsky Ján, Slovakia” , A.Dvurecenskij, S.Pulmannová, eds. SAV, Bratislava, 213­218, (1990)

[ 4 ] R.R.Zapatrin, Binary Quantum Logic and Generating Semigroups, International Journal of Theoretical Physics, 28 , 1323­1332, (1989)

[ 3 ] A.A.Grib, R.R.Zapatrin, Quantum Logic ­ Problems and Prospects, Semiotika i Informatika, 29 , 124­144, (1990) (in Russian)

[ 2 ] R.R.Zapatrin, Automata, Semigroups, and Quantum Logics, In: “Recent developments in quantum logics” , Ed. V. Meshkov, MGU, Moscow (1989), 157­166 (in Russian)

[ 1 ] A.Finkelshtein, V.Kreinovich, R.R.Zapatrin, Fundamental physical equations uniquely determined by their symmetry groups, In: “Analysis on manifolds and differential equations” , Ed. Yu.Borisovich, Lecture Notes in Mathematics, 1214 , 159­170, (1986)

 

Submitted Papers and Preprints

[ iv ] R.R.Zapatrin, A note on Brunnian correlations in multipartite quantum systems eprint quant-ph/0110091

[ iii ] R.Breslav, A.Stavrova, R.R.Zapatrin, Topological Representations of Posets, eprint math.GN/0001148

[ ii ] R.R.Zapatrin, Les espaces duaux pour les ensembles ordonnés arbitraires (in French) , (2000), eprint math.GN/0001080

[ i ] A.Ollech, R.R.Zapatrin, A characterization of regular subsets of a non-oriented irreflexive graph, (2000), eprint math.GN/0001080