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Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...
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Probabilistic Degenerate Fubini Polynomials Associated with Random Variables
Let Y be a random variable such that the moment generating function of Y exists in a neighborhood of the origin. The aim of this paper is to study...
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Reducibility of Three Dimensional Skew Symmetric System with High Dimensional Weak Liouvillean Frequencies
In this paper, we consider the reducibility of three-dimensional skew symmetric systems. We obtain a reducibility result if the base frequency is...
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On Variational Principles of Metric Mean Dimension on Subsets in Feldman–Katok Metric
In this paper, we studied the metric mean dimension in Feldman–Katok (FK for short) metric. We introduced the notions of FK-Bowen metric mean...
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A Note on the Entropy for Heisenberg Group Actions on the Torus
In this paper, the entropy of discrete Heisenberg group actions is considered. Let α be a discrete Heisenberg group action on a compact metric space X. ...
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Super implicit two-step collocation methods for ordinary differential equations
This paper introduces a class of two-step collocation methods for the numerical solution of ordinary differential equations. These methods which are...
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\(C^{1,\alpha }\) regularity for stationary mean-field games with logarithmic coupling
This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The...
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New Existence Results for Evolutionary Quasi-Hemi-Variational Inequalities with Semi-monotone Maps and Applications to Optimal Control Problems
The paper presents new results for the existence of solutions for an evolutionary quasi-hemi-variational inequality, which involves a semi-monotone...
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On S-Weyl’s theorem and property (t) for some classes of operators
In this paper we consider two new variants of the classical Weyl ’s theorem for operators defined on Banach spaces. These variants called S -Weyl’s...
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Eigenvalue programming beyond matrices
In this paper we analyze and solve eigenvalue programs, which consist of the task of minimizing a function subject to constraints on the...
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Nonpositively Curved Surfaces are Loewner
We show that every closed nonpositively curved surface satisfies Loewner’s systolic inequality. The proof relies on a combination of the Gauss–Bonnet...
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Some results on conjugacy class sizes of primary elements of a finite group
We establish results on the conjugacy class sizes of elements of of prime-power order in a finite group. On the way, we improve results by a number...
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