Publications of Jacek Miękisz
2024 J. Miękisz, J. Mohamadichamgavi and J. Lacki, Phase transitions in the Prisoner’s Dilemma game on scale-free networks, BioPhysMath 1: 9 pages (2024). pdf J. Mohamadichamgavi and J. Miękisz, Effect of the degree of an initial mutant in Moran processes in structured populations, Phys. Rev. E 109: 044406 (2024). pdf 2022 K. Łopuszański and J. Miękisz, Random walks with assymetric time delays, Phys. Rev. E 105: 064131 (2022). pdf 2021 J. Miękisz and M. Bodnar, Evolution of populations with strategy-dependent time delays, Phys. Rev. E 103: 012414 (2021). pdf 2020 A. van Enter and J. Miękisz, Typical ground states for large sets of interactions, J. Stat. Phys. 181: 1906–1914 (2020). pdf A. van Enter, H. Koivusalo, and J. Miękisz, Sturmian ground states in classical lattice–gas models, J. Stat. Phys. 178: 832–844 (2020). pdf M. Bodnar, J. Miękisz, and R. Vardanyan, Three-player games with strategy-dependent time delays, Dynamic Games and Applications, 10: 664–675 (2020). pdf 2019 P. Szymańska-Rożek, D. Villamaina, J. Miękisz, and A. M. Walczak, Dissipation in non-steady state regulatory circuits, Entropy 21: 1212 (2019). pdf 2018 C. Hauert and J. Miękisz, Effects of sampling interaction partners and competitors in evolutionary games, Phys. Rev. E 98: 052301 (2018). pdf P. Nałęcz-Jawecki and J. Miękisz, Mean-potential law in evolutionary games, Phys. Rev. Lett. 120: 028101 (2018). pdf 2015 P. Nałęcz-Jawecki, P. Szymańska, M. Kochańczyk, J. Miękisz, and T. Lipniacki, Effective reaction rates in for diffusion-limited reaction cycles, J. Chem. Phys. 143: 215102 (2015). pdf P. Szymańska, M. Kochańczyk, J. Miękisz, and T. Lipniacki, Effective reaction rates in diffusion-limited phosphorylation-dephosphorylation cycles, Phys. Rev. E 91: 022702 (2015). pdf K. Choromański and J. Miękisz, Scale-free graphs with edge deletion, Mathematica Applicanda 43(2): 115-121 (2015). pdf 2014 J. Miękisz, M. Matuszak, and J. Poleszczuk, Stochastic stability in three-player games with time delays, Dynamic Games and Applications 4: 489-498 (2014). pdf M. Czoków and J. Miękisz, Influence of a topology of a spring network on its ability to learn mechanical behaviour, Lecture Notes in Computer Science 8384: 412-422, Springer-Verlag, Berlin, Heidelberg (2014). J. Miękisz, J. Gomułkiewicz, and S. Miękisz, Mathematical models of ion transport through cell membrane channels, Mathematica Applicanda 42: 39-62 (2014). pdf 2013 J. Miękisz, Comment on “Stochastic dynamics of the prisoner’s dilemma with cooperation facilitators”, Physical Review E 88, 046101 (2013). pdf K. Choromański, M. Matuszak, and J. Miękisz, Scale-free graph with preferential attachment and evolving internal vertex structure, J. Stat. Phys. 151: 1175–1183 (2013). pdf M. Komorowski, J. Miękisz, and M. P. H. Stumpf, Decomposing noise in biochemical signalling systems highlights the role of protein degradation, Biophysical Journal 104: 1783–1793 (2013). pdf J. Miękisz and M. Ramsza, Sampling Dynamics of Symmetric Ultimatum Game Dynamic Games and Applications 3: 374-386 (2013). pdf J. Miękisz and P. Szymańska, Gene expression in self-repressing system with multiple gene copies, Bull. Math. Biol. 75: 317–330 (2013). pdf 2012 M. Matuszak and J. Miękisz, Stochastic Techniques in Influence Diagrams for Learning Bayesian Network Structure, LNCS 7552: 33-40 (2012). pdf M. Matuszak, J. Miękisz, and T. Schreiber, Solving Ramified Optimal Transport Problem in the Bayesian Influence Diagram Framework, LNCS 7268: 582-590 (2012). pdf J. Miękisz and M. Ramsza, Replicator Dynamics of Symmetric Ultimatum Game Dynamic Games and Applications 2: 258-268 (2012). pdf J. Miękisz and P. Szymańska, On spins and genes, Mathematica Applicanda 40(1): 15-25 (2012). pdf 2011 J. Miękisz, J. Poleszczuk, M. Bodnar, and U. Foryś, Stochastic model of gene expression with delayed degradation, Bull. Math. Biol. 73: 2231-2247 (2011). pdf supporting materials pdf J. Miękisz and S. Wesołowski, Stochasticity and time delays in evolutionary games, Dynamic Games and Applications 1: 440-448 (2011). pdf J. Miękisz, Stochasticity and time delays in gene expression and evolutionary game theory, Probabilistic Engineering Mechanics 26: 33–38 (2011). pdf M. Matuszak, J. Miękisz, and T. Schreiber, Smooth Conditional Transition Paths in Dynamical Gaussian Networks, LNAI 7006: 204-215 (2011). pdf 2009 M. Komorowski, J. Miękisz, and A. Kierzek, Translational repression contributes greater noise to gene expression than transcriptional repression, Biophysical Journal 96: 372-384 (2009). pdf supporting materials pdf 2008 J. Miękisz, Evolutionary game theory and population dynamics, in Multiscale Problems in the Life Sciences, From Microscopic to Macroscopic, V. Capasso and M. Lachowicz (eds.), Lecture Notes in Mathematics 1940: 269-316 (2008). pdf J. Miękisz, Stochastic stability of spatial games, in Stochastic Models in Biological Sciences, R. Buerger, C. Maes, and J. Miękisz (eds.), Banach Center Publications 80: 245-252 (2008). 2006 J. Miękisz, Equilibrium transitions in finite populations of players, in Game Theory and Mathematical Economics, A. Wieczorek, M. Malawski, and A. Wiszniewska-Matyszkiel (eds.), Banach Center Publications 71: 237-242 (2006). 2005 J. Miękisz and T. Płatkowski, Population dynamics with a stable efficient equilibrium, J. Theor. Biol. 237: 363-368 (2005). pdf D. Kamiński, J. Miękisz, and M. Zaborowski, Stochastic stability in three-player games, Bull. Math. Biol. 67: 1195-1205 (2005). pdf J. Miękisz, Equilibrium selection in evolutionary games with random matching of players, J. Theor. Biol. 232: 47-53 (2005). pdf J. Miękisz, Long-run behavior of games with many players, Markov Processes and Related Fields 11: 371-388 (2005). 2004 J. Miękisz, Stochastic stability in spatial games, J. Stat. Phys. 117: 99-110 (2004). pdf J. Miękisz, Statistical mechanics of spatial evolutionary games, J. Phys. A: Math. Gen. 37: 9891-9906 (2004). pdf J. Miękisz, Stochastic stability in spatial three-player games, Physica A 343: 175-184 (2004). pdf J. Alboszta and J. Miękisz, Stability of evolutionarily stable strategies in discrete replicator dynamics with time delay J. Theor. Biol. 231: 175-179 (2004). pdf M. Bukowski, and J. Miękisz, Evolutionary and asymptotic stability in symmetric multi-player games, Int. J. Game Theory 33: 41-54 (2004). pdf 2000 J-P Gazeau, R. Krejcar, and J. Miękisz, Ground states of quasilattice-gas models Materials Science and Engineering A 294-296: 421-424 (2000). pdf J. Jędrzejewski and J. Miękisz, Devil's staircase for non-convex interactions, Europhysics Letters 50: 307-311 (2000). pdf J. Jędrzejewski and J. Miękisz, Ground states of lattice gases with ``almost'' convex repulsive interactions, J. Stat. Phys. 98, 589-620 (2000). pdf 1999 J. Miękisz, Nonperiodic Gibbs states in microscopic models of quasicrystals, in Mathematical Results in Statistical Mechanics (pp. 501-508), Proceedings of the Satellite Colloquium STATPHYS 20, eds. J. Ruiz, S. Miracle Sole, and V. Zagrebnov, World Scientific (1999). J. Miękisz, Classical lattice-gas models of quasicrystals, J. Stat. Phys. 97: 835-850 (1999). pdf 1998 J-P Gazeau and J. Miękisz, A symmetry group of a Thue-Morse quasicrystal, J. Phys. A: Math. Gen. 31: L435-L440 (1998). pdf A. C. D. van Enter, J. Miękisz, and M. Zahradnik, Nonperiodic long-range order for fast decaying interactions at positive temperatures, J. Stat. Phys. 90: 1441-1447 (1998). pdf J. Miękisz, Ultimate frustration in classical lattice-gas models, J. Stat. Phys. 90: 285-300 (1998). pdf 1997 J. Miękisz, Stable quasiperiodic ground states, J. Stat. Phys. 88: 691-711 (1997). pdf 1996 J. Miękisz, Low-temperature stability of quasicrystals, Physica A 232: 657-661 (1996). 1994 J. Miękisz, Stabilities and instabilities of nonperiodic Ground states, in: M. Fannes, C. Maes, and A. Verbeure eds. On Three Levels, pp. 253-256, New York, Plenum Press (1994). 1993 J. Miękisz, A global minimum of energy is not always a sum of local minima - a note on frustration, J. Stat. Phys. 71: 425-434 (1993). pdf J. Miękisz, Quasicrystals - Microscopic Models of Nonperiodic Structures, Leuven Notes on Mathematical and Theoretical Physics, Leuven University Press (1993). 1992 A. van Enter, A. Hof, and J. Miękisz, Overlap distributions for deterministic systems with many pure states, J. Phys. A: Math. Gen. 25: L1133-L1137 (1992). pdf J. Miękisz, Low temperature stability of nonperiodic structures, Physica A, 185: 151-153 (1992). A. van Enter and J. Miękisz, How can one define a (weak) Crystal? J. Stat. Phys. 66: 1147-1153 (1992). pdf 1990 A. van Enter and J. Miękisz, Breaking of periodicity at positive temperatures, Commun. Math. Phys. 134: 647-651 (1990). pdf J. Miękisz, A microscopic model with quasicrystalline properties, J. Stat. Phys. 58: 1137-1149 (1990). pdf 1989 J. Miękisz and C. Radin, Why solids are not really crystalline? Phys. Rev. B. 39: 1950-1952 (1989). pdf J. Miękisz, Toward a microscopic model of a quasicrystal. Phys. Lett. 138A: 415-416 (1989). C. Gardner, J. Miękisz, C. Radin, and A. van Enter, Fractal symmetry in an Ising model, J. Phys. A.: Math. Gen. 22: L1019-L1023 (1989). pdf J. Miękisz, Frustration without competing interactions, J. Stat. Phys. 55: 351-355 (1989). pdf 1988 J. Miękisz, Nonperiodic order in classical lattice systems, Nuclear Physics B (Proc. Suppl.) 5A: 122-124 (1988). J. Miękisz, How low temperature causes long range order, J. Phys. A.: Math. Gen. 21: L529-L531 (1988). pdf J. Miękisz, Low temperature equilibrium states of ferromagnetic lattice systems, J. Phys. A.: Math. Gen. 21: 1679-1688 (1988). pdf 1987 J. Miękisz, Classical lattice gas model with a unique nondegenerate but unstable periodic ground state configuration, Commun. Math. Phys. 111: 533-538 (1987). pdf J. Miękisz, The decomposition property and equilibrium states of ferromagnetic lattice systems, Commun. Math. Phys. 109: 353-367 (1987). pdf J. Miękisz and C. Radin, The Third Law of thermodynamics, Mod. Phys. Lett. B1: 61-65 (1987). pdf 1986 J. Miękisz and C. Radin, The unstable chemical structure of quasicrystalline alloys, Phys. Lett. 119A: 133-134 (1986). pdf J. Miękisz, Many phases in systems without periodic ground states, Commun. Math. Phys. 107: 577-586 (1986). pdf 1980 J. Miękisz, Relaxation of the ferrofluid in a magnetic field: the cubic crystal case, Acta Physica Polonica A57: 623-625 (1980).