2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
Fortschritte der Physik, Volume 73, Issue 8, August 2025.Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
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On the dimension of orthogonal projections of self‐similar measures
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract Let ν$\nu$ be a self‐similar measure on Rd$\mathbb {R}^d$, d⩾2$d\geqslant 2$, and let π$\pi$ be an orthogonal projection onto a k$k$‐dimensional subspace. We formulate a criterion on the action of the group generated by the orthogonal parts of the iterated function system on π$\pi$, and show that it ensures that the dimension of πν$\pi \nu$ is
Amir Algom, Pablo Shmerkin
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Pedersen ideals of tensor products of nonunital C*-algebras
, 2019 We show that positive elements of a Pedersen ideal of a tensor product can be approximated in a particularly strong sense by sums of tensor products of positive elements.
Ivanescu, C., Kučerovský, Dan
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Heliyon, 2021 Aziz-Ul-Hakim, Khan H, Ahmad I, Khan A.
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Philos Trans A Math Phys Eng Sci, 2021 Benedetti I, Obukhovskii V, Taddei V.
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Brauer and partition diagram models for phylogenetic trees and forests. [PDF]
Proc Math Phys Eng Sci, 2022 Francis A, Jarvis PD.
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