8 papers
Sparse empirical measures for non-statistical interval maps with two neutral fixed points
Farrukh Mukhamedov
We consider balanced doubly intermittent full-branch interval maps with two neutral fixed points. Although the ordinary empirical measures fail to converge for Lebesgue-almost ever…
Effective Strassmann Certificates for Local -adic Dynamical Mordell--Lang Interpolants
Farrukh Mukhamedov
The -adic method for Dynamical Mordell--Lang often reduces a residue class of an orbit to the zero set of a locally analytic interpolating function. This paper assumes the stand…
Local Rota--Baxter operators of weight zero on nilpotent evolution algebras with maximal nilindex
Izzat Qaralleh, Farrukh Mukhamedov, Otabek Khakimov
Let be an -dimensional nilpotent evolution algebra of maximal nilindex over a field of characteristic zero. The Rota--Baxter operators of weights zero and one on such algebr…
Quasi-Product States and Factor Types for the One-Dimensional Hard-Core Model
Farrukh Mukhamedov, Yuri Suhov
We study a quasi-product state associated with the one-dimensional hard-core Gibbs measure. After coding the model by the topological Markov chain, we construct the standard path $…
Quantum Viterbi Algorithm
Luigi Accardi, Abdessatar Souissi, El Gheteb Soueidi +2
We introduce a quantum Viterbi decoding algorithm for hidden quantum Markov models (HQMMs) motivated by quantum information processing and quantum algorithms. Given a finite sequen…
Dyadic Martingale Transforms and Weighted Walsh-Carleson Operators
Ushangi Goginava, Farrukh Mukhamedov
We study weighted Walsh--Carleson maximal operators arising from dyadic martingale transforms associated with Walsh--Fourier partial sums. For weights satisfying a uniform dyadic v…