22 citations · 142 across the 27 of their papers we have counts for
9 papers · 1 filter
Random walks with asymmetric time delays
Kamil Łopuszański, Jacek Miękisz
We studied simple random-walk models with asymmetric time delays. Stochastic simulations were performed for hyperbolic-tangent fitness functions and to obtain analytical results we…
Long-run behavior of games with many players
Jacek Miekisz
We discuss similarities and differencies between systems of many interacting players maximizing their individual payoffs and particles minimizing their interaction energy. We analy…
Stochastic stability in spatial games
Jacek Miekisz
We discuss similarities and differences between systems of interacting players maximizing their individual payoffs and particles minimizing their interaction energy. Long-run behav…
Statistical mechanics of spatial evolutionary games
Jacek Miekisz
We discuss the long-run behavior of stochastic dynamics of many interacting players in spatial evolutionary games. In particular, we investigate the effect of the number of players…
A symmetry group of a Thue-Morse quasicrystal
Jean-Pierre Gazeau, Jacek Miekisz
We present a method of coding general self-similar structures. In particular, we construct a symmetry group of a one-dimensional Thue-Morse quasicrystal, i.e., of a nonperiodic gro…
Devil's staircase for a nonconvex interaction
Janusz Jedrzejewski, Jacek Miekisz
We study ground-state orderings of particles in classical lattice-gas models of adsorption on crystal surfaces. In the considered models, the energy of adsorbed particles is a sum…
Ground states of lattice gases with ``almost'' convex repulsive interactions
Janusz Jedrzejewski, Jacek Miekisz
To our best knowledge there is only one example of a lattice system with long-range two-body interactions whose ground states have been determined exactly: the one-dimensional latt…
Non-periodic long-range order for fast decaying interactions at positive temperatures
Aernout van Enter, Jacek Miekisz, Milos Zahradnik
We present the first example of an exponentially decaying interaction which gives rise to non-periodic long-range order at positive temperatures.
Stable quasicrystalline ground states
Jacek Miekisz
We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a phase space. W…