7 papers · 1 filter
On the cohomology of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
We study the cohomology of symbolic dynamical systems called homshifts: they are the nearest-neighbour shifts of finite type whose adjacency rules are the same in ev…
Undecidability of the block gluing classes of homshifts
Nishant Chandgotia, Silvère Gangloff, Benjamin Hellouin de Menibus +1
A homshift is a -dimensional shift of finite type which arises as the space of graph homomorphisms from the grid graph to a finite connected undirected graph .…
Shifts of Finite Type Obtained by Forbidding a Single Pattern
Nishant Chandgotia, Brian Marcus, Jacob Richey +1
Given a finite word , Guibas and Odlyzko (J. Combin. Theory Ser. A, 30, 1981, 183-208) showed that the autocorrelation polynomial of , which records the set of self-…
Open questions in descriptive set theory and dynamical systems
Jérôme Buzzi, Nishant Chandgotia, Matthew Foreman +6
This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff,…
Borel factors and embeddings of systems in subshifts
Nishant Chandgotia, Spencer Unger
In this paper we study the combinatorics of free Borel actions of the group on Polish spaces. Building upon recent work by Chandgotia and Meyerovitch, we introduce pr…
Predictive Sets
Nishant Chandgotia, Benjamin Weiss
A set is called predictive if for any zero entropy finite-valued stationary process , is measurable with respect to $(X_i)_{i\in…