Publications (9)
Ultimate periodicity problem for linear numeration systems
E. Charlier, A. Massuir, M. Rigo +1
We address the following decision problem. Given a numeration system and a -recognizable set , i.e. the set of its greedy -representations is recogn…
Continuous stochastic Schrodinger equations and localization
M. Rigo, F. Mota-Furtado, P. F. O'Mahony
The set of continuous norm-preserving stochastic Schrodinger equations associated with the Lindblad master equation is introduced. This set is used to describe the localization pro…
Avoiding 2-binomial squares and cubes
M. Rao, M. Rigo, P. Salimov
Two finite words are 2-binomially equivalent if, for all words of length at most 2, the number of occurrences of as a (scattered) subword of is equal to the numbe…
A note on syndeticity, recognizable sets and Cobham's theorem
M. Rigo, L. Waxweiler
In this note, we give an alternative proof of the following result. Let p, q >= 2 be two multiplicatively independent integers. If an infinite set of integers is both p- and q-reco…
Computing the k-binomial complexity of generalized Thue--Morse words
M. Golafshan, M. Rigo, M. Whiteland
Two finite words are k-binomially equivalent if each subword (i.e., subsequence) of length at most k occurs the same number of times in both words. The k-binomial complexity of an…
The Quantum state diffusion model and the driven damped nonlinear oscillator
M. Rigo, G. Alber, F. Mota-Furtado +1
We consider a driven damped anharmonic oscillator which classically leads to a bistable steady state and to hysteresis. The quantum counterpart for this system has an exact analyti…