123 citations · 651 across the 93 of their papers we have counts for
13 papers · 1 filter
Excited random walk in two dimensions has linear speed
Gady Kozma
Excited random walk is a process that has a drift to the right whenever it encounters a new vertex. The paper shows that in two dimensions it drifts to the right linearly in time.
Representation of non periodic functions by trigonometric series with almost integer frequencies
Gady Kozma, Alexander Olevskii
Inspired by Menshov's representation theorem, we prove that there exists a sequence of frequecies such that any measurable (complex valued) function on R can be represented as a su…
An "Analytic" Version of Menshov's Representation Theorem
Gady Kozma, Alexander Olevskii
Every measurable function f on the circle can be represented as a sum of harmonics with positive spectrum, converging in measure. For convergence almost everywhere this is not true…
Random homeomorphisms and Fourier expansions - the pointwise behavior
Gady Kozma
Let phi be a Dubins-Freedman random homeomorphism on [0,1] derived from the base measure uniform on the vertical line x=1/2, and let f be a periodic function satisfying that |f(x)-…
Menshov representation spectra
Gady Kozma, Alexander Olevskii
A Menshov spectrum is a subset of the integers that is sufficient for representing every measurable function as an almost-everywhere converging trigonometric (non-Fourier) sum. In…
Random Menshov spectra
Gady Kozma, Alexander Olevskii
We show that a spectrum of frequencies obtained by a random perturbation of the integers allows one to represent any measurable function on R by an almost everywhere converging sum…