62 citations · 150 across the 9 of their papers we have counts for
11 papers
Markov and almost Markov properties in one, two or more directions
Aernout van Enter, Arnaud Le Ny, Frédéric Paccaut
In this review-type paper written at the occasion of the Oberwolfach workshop {\em One-sided vs. Two-sided stochastic processes} (february 22-29, 2020), we discuss and compare Mark…
The roles of random boundary conditions in spin systems
Eric O. Endo, Aernout C. D. van Enter, Arnaud Le Ny
Random boundary conditions are one of the simplest realizations of quenched disorder. They have been used as an illustration of various conceptual issues in the theory of disordere…
One-sided versus two-sided stochastic descriptions
Aernout C. D. van Enter
It is well-known that discrete-time finite-state Markov Chains, which are described by one-sided conditional probabilities which describe a dependence on the past as only dependent…
Dyson models under renormalization and in weak fields
R. Bissacot, E. O. Endo, A. C. D. van Enter +3
We consider one-dimensional long-range spin models (usually called Dyson models), consisting of Ising ferromagnets with slowly decaying long-range pair potentials of the form $\fra…
Comment on the paper by Y.Komura and Y.Okabe [arXiv:1011.3321]
Aernout C. D. van Enter, Silvano Romano, Valentin A. Zagrebnov
We point out that the claim of strong universality in the paper J.Phys. A 44, 015002, arXiv:1011.3321 is incorrect, as it contradicts known rigorous results.
Close-packed dimers on the line: diffraction versus dynamical spectrum
Michael Baake, Aernout van Enter
The translation action of $\RR^{d}$ on a translation bounded measure leads to an interesting class of dynamical systems, with a rather rich spectral theory. In general, the dif…