Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Roy L. Adler"'
Publikováno v:
Indagationes Mathematicae. 29:831-841
This is a companion paper to Adleret al. (in press, 2015). There, we proved the existence of an absorbing invariant tile for the Error Diffusion dynamics on an acute simplex when the input is constant and “ergodic” and we discuss the geometry of
Publikováno v:
Israel Journal of Mathematics. 221:445-469
We study the absorbing invariant set of a dynamical system defined by a map derived from Error Diffusion, a greedy online approximation algorithm that minimizes the (Euclidean) norm of the cumulated error. This algorithm assigns a sequence of outputs
Publikováno v:
Ergodic Theory and Dynamical Systems, 25, 321-352
This paper proves a theorem about bounding orbits of a time dependent dynamical system. The maps that are involved are examples in convex dynamics, by which we mean the dynamics of piecewise isometries where the pieces are convex. The theorem came to
Publikováno v:
IBM Journal of Research and Development. 47:5-15
This paper describes some mathematical aspects of halftoning in digital printing. Halftoning is the technique of rendering a continuous range of colors using only a few discrete ones. There are two major classes of methods: dithering and error diffus
Publikováno v:
IMA Journal of Numerical Analysis. 22:359-390
To study a geometric model of the human spine we are led to finding a constrained minimum of a real valued function defined on a product of special orthogonal groups. To take advantge of its Lie group structure we consider Newton's method on this man
Autor:
Roy L. Adler
Publikováno v:
Bulletin of the American Mathematical Society. 35:1-56
The decimal expansion of real numbers, familiar to us all, has a dramatic generalization to representation of dynamical system orbits by symbolic sequences. The natural way to associate a symbolic sequence with an orbit is to track its history throug
Publikováno v:
Transactions of the American Mathematical Society. 349:1633-1652
We describe two complete sets of numerical invariants of topological conjugacy for linear endomorphisms of the two-dimensional torus, i.e., continuous maps from the torus to itself which are covered by linear maps of the plane. The trace and determin
Autor:
Roy L. Adler
Publikováno v:
Symbolic Dynamics and its Applications. :1-18
Autor:
Roy L. Adler, Leopold Flatto
Publikováno v:
Bulletin of the American Mathematical Society. 25:229-334