Publications of Andrzej Korzeniowski

[1]     Bounds for Reliability in the NBU, NWU, NBUE, NWUE Classes

         (with A. Opawski), Applicationes Math., 15 (1976), 1-5.

[2]     Maringales in Banach Spaces for which the Convergence with Probability One in

         Probability and in Law Coincide, Colloquium Mathematicum, 39 (1978), 153-159.

[3]     An Analog of Ito and Nisio's Theorem for Weak Martingales in Banach Spaces,

Bulletin de L'Académie Polonaise des Sciences, 26 (1978), 1027-1034.

[4]     On the Law of the Iterated Logarithm in Banach Spaces, Bulletin de L'Académe

Polonaise des Sciences, 26 (1978), 1035-1040.

[5]     A Proof of the Ergodic Theorem in Banach Spaces via Asymptotic Martingales,

Bulletin de L'Académie Polonaise des Sciences, 26 (1978), 1041-1044.

[6]     Orthogonality and the Law of Large Numbers in Banach Spaces, Bulletin de

L'Académie Polonaise des Sciences, 27 (1979), 737-743.

[7]     Embedding L¹ into a non-order Dentable Banach Lattice, Bulletin de L'Académie

Polonaise des Sciences, 29 (1981), 561-567.

[8]     A Remark on Marcinkiewicz  SLLN in Banach Spaces, Annals of Probability,

         12 (1984), 279-280.

[9]     Bound State Problem for Random Potentials, Stochastic Analysis and Applications,

         2 (1984), 121-131.

[10]   On the Best Hausdorff-Young Inequality, Libertas Mathematica, 4 (1984), 15-19.

[11]   An Example in the Theory of Hypercontractive Semigroups (with D. W. Stroock),

Proceedings of the AMS, 94 (1985), 87-90.

[12]   Dynamic Systems Driven by Markov Processes, Journal of Mathematical Physics,

         26 (1985), 2189-2191.

[13]   On Logarithmic Sobolev Constant for Diffusion Semigroups, Journal of Functional

Analysis, 71 (1987), 363-370.

[14]   A Limit Theorem for Basic Disordered Structures, Journal of Mathematical

Physics, 28 (1987), 1030-1031.

[15]   On Principal Eigenvalue for Random Evolutions (with R. J. Griego), Stochastic

Analysis and Applications, 7 (1989), 35-45.

[16]   On Diffusions that Cannot Escape from a Convex Set, Statistics and Probability

Letters, 8 (1989), 229-234.

[17]   Solution Algorithm for Parabolic Equation by Simulating Stochastic Processes

         (with G. J. Fix), Numerical Methods in Partial Diff. Equations, 6 (1989), 185-193.

[18]   A Large Deviation Principle for Certain Higher Order Differential Operators

         (with R. J. Griego), Pacific Journal of Mathematics, 14 (1990), 1-8.

[19]   A Probabilistic Approach to Numerical Solution of the Nonlinear Diffusion

         Equation, Numerical Methods in Partial Differential Equations, 6 (1990), 335-342.

[20]   On simulating Wiener Integrals and their Expectations (with D. L. Hawkins),

Probability in the Engineering and Informational Sciences, 5 (1991), 101-112.

[21]   Probabilistic Viscosity Algorithm for the Scalar Conservation Law, Numerical

Methods in Partial Differential Equations, 8 (1992), 277-290.

[22]   A Remark on Logarithmic Sobolev Constant, Libertas Mathematica,12 (1992), 9-13.

[23]   Quantum Mechanical Simulation of  the Hydrogen Molecule, Computers  and

Math. with Applications, 24 (1992), 99-102.

[24]   Feynman-Kac Path-Integral Calculation of the Ground-State Energies of Atoms

         (with J. L. Fry, D. E. Orr and N. G. Fazleev), Phys. Rev. Letters, 69 (1992), 893-896.

[25]   Korzeniowski et al. Reply, Physical Review Letters, 71 (1993), 2160-2161.

[26]   Numerical Studies of Microturbulence in Water (with D. Greenspan), Computers

and Math. with Applications, 29 (1995), 7-15.

[27]   Microscopic Turbulence in Water (with D. Greenspan), Mathematical and

Computer Modelling, 23 (1996), 89-100.

[28]   On Computer Simulation of Feynman-Kac Path- Integrals, Journal of

Computational and Applied Mathematics, 66 (1996), 333-336.

[29]   Application of the Feynman-Kac Path Integral Method in finding the Ground State

of Quantum Systems (with J. M. Rejcek, S. Datta, N. G. Fazleev, J. L. Fry), Comp.

Phys. Comm., 105 (1997), 108-126.

[30]   Path - Integral Calculations for the Excited States of Hydrogen Atom, Methodology

and Computing in Applied Probability, 1 (1999), 277-282.

[31]   On Quantum Mechanical Particle Simulation, Proceedings of the International

Conference on Monte Carlo Simulation, Balkema Publishers, (2001), 243-246.

[32]   On Euler’s Königsberg Bridge Problem for Random Graphs, Journal of

Propagation in Probability and Statistics, 2 (2001), 11-18.

[33]   Computing Quantum states of Atoms through Stochastic Dynamics of Electrons,

International Journal of Computational and Numerical Analysis and Applications,

         1 (2002), 81-87.

[34]   On Universal Representation of Random Graphs, Annals of Combinatorics,

7 (2003), 299-313.

[35]  Binomial Tails Domination for Random Graphs via Bell Polynomials,

Journal of Probability and Statistical Science, 4 (2006), 99-105.

[36]   A discrete Time Counterpart of the Black-Scholes Bond Replication Portfolio,

Applications and Applied Mathematics, 1 (2006), 25-35.

[37]   Mean Reversal for Stochastic Hybrid Systems, Nonlinear Analysis: Hybrid Systems,

2 (2008), 613-625.

[38]   Stability of Stochastic Differential Equations under Discretization, Stochastic

Analysis and Applications, (2008), in print.

[39]   On Correlated Random Graphs, submitted.

[40] On Mathematical Modeling of Hybrid Network Dynamics under Random Perturbations

(with G.S. Ladde), submitted.

[41] Large Deviations for Ergodic Processes in Split Spaces (with A. Oprisan), submitted.