9 papers
Branching Gaps, Coexistence, and Boundary Influence for the Ising Model on Spherically Symmetric Trees
Farrukh Mukhamedov, Otabek Khakimov
In this paper, we study the ferromagnetic nearest-neighbor Ising model on rooted spherically symmetric trees with one or \(q\) children per vertex, according to a prescribed sequen…
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 the von Neumann algebra generated by a quasi-product state associated with the one-dimensional hard-core lattice gas. If \(κ>0\) denotes the activity (fugacity), the trans…
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…
Interpolating between positive, Schwarz, and completely positive evolution for d-level systems
Dariusz Chruściński, Farrukh Mukhamedov
We study a class of quantum dynamical maps for d-level systems that interpolate between positive, Schwarz, and completely positive evolutions. Our approach is based on a geometric…
Constructing -Kadison-Schwarz maps
Farrukh Mukhamedov, Dariusz Chruściński
We study k Kadison Schwarz (k KS) mappings on matrix algebras and derive explicit conditions ensuring the k KS property for two classes of maps parameterized by a single k-positive…