Random linear cellular automata: Fractals associated with random multiplication of polynomials
نویسندگان
چکیده
منابع مشابه
Random Linear Cellular Automata Fractals associated with random multiplication of polynomials
Random multiplication of a given set of s polynomials with coe cients in a nite eld following a random sequence generated by Bernoulli trial with s possible outcomes is a time dependent linear cellular automaton LCA As in the case of LCA with states in a nite eld we associate with this sequence a compact set the rescaled evolution set The law of the iterated logarithm implies that this fractal ...
متن کاملOn Classifications of Random Polynomials
Let $ a_0 (omega), a_1 (omega), a_2 (omega), dots, a_n (omega)$ be a sequence of independent random variables defined on a fixed probability space $(Omega, Pr, A)$. There are many known results for the expected number of real zeros of a polynomial $ a_0 (omega) psi_0(x)+ a_1 (omega)psi_1 (x)+, a_2 (omega)psi_2 (x)+...
متن کاملDesign of low power random number generators for quantum-dot cellular automata
Quantum-dot cellular automata (QCA) are a promising nanotechnology to implement digital circuits at the nanoscale. Devices based on QCA have the advantages of faster speed, lower power consumption, and greatly reduced sizes. In this paper, we are presented the circuits, which generate random numbers in QCA. Random numbers have many uses in science, art, statistics, cryptography, gaming, gambli...
متن کاملWhen are cellular automata random ?
A cellular automaton is a collection of cells, each of which is in one of a finite number of states. The cells’ states are updated according to some local rules which take into account the state of the cell and the states of its neighbours. For instance: a two dimensional grid with two states per cell is used in Conway’s Game of Life in which each cell is alive or dead and transition rules are ...
متن کاملRandom Walks in Cellular Automata
Topological defects or phase boundaries discerned in a number of one-dimensional cellular automata appear to perform random walks as well as simpler motions. We analyze their properties rigorously using probabilistic methods. This results in a complete classi cation in the partially permutive case. The paper complements [1] where the general framework of tilings and subpermutivity was introduce...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Japanese journal of mathematics. New series
سال: 2000
ISSN: 0289-2316,1861-3624
DOI: 10.4099/math1924.26.381