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Central limit theorem for the average closure coefficient
Many real-world networks exhibit the phenomenon of edge clustering,which is typically measured by the average clustering coefficient. Recently,an...
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A Hardy–Hilbert-type integral inequality involving two multiple upper-limit functions
By means of the weight functions, the idea of introducing parameters and the technique of real analysis, a new Hardy–Hilbert-type integral inequality...
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A functional central limit theorem on non-stationary random fields with nested spatial structure
In this paper, we establish a functional central limit theorem on high dimensional random fields in the context of model-based survey analysis. For...
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The F-theorem in the melonic limit
The F -theorem states that in three dimensions the sphere free energy of a field theory must decrease between ultraviolet and infrared fixed points of...
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Three-Dimensional Upper Bound Limit Analysis of Tunnel Stability with an Extended Collapse Mechanism
A three-dimensional collapse mechanism that can consider a combined collapse of the tunnel roof and the side walls is proposed in this work. The...
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Precise Asymptotics in Limit Theorems for a Supercritical Branching Process with Immigration in a Random Environment
Let ( Z n ) be a supercritical branching process with immigration in an independent and identically distributed random environment. Under necessary...
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Pythagorean Theorem & Curvature with Lower or Upper Bound
In this paper, the authors give a comparison version of Pythagorean theorem to judge the lower or upper bound of the curvature of Alexandrov spaces...
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Estimates of the convergence rate in a limit theorem for geometric sums and some of their applications
We establish new nonuniform estimates of the convergence rate to the exponential distribution in the boundary theorem for geometric sums. We give...
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A theoretical analysis of the transient fluctuation theorem for accelerated colloidal systems in the long-time limit
A quantitative description of the second law of thermodynamics in small-scale systems and over short time scales comes from various fluctuation...
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Basic Concepts, Probability Inequalities and Limit Theorems
Let us, for later considerations, first introduce some common but important concepts of random variables (r.v.) and a corresponding limit theorem....
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Scalable probabilistic truss decomposition using central limit theorem and H-index
Truss decomposition is a popular notion of hierarchical dense substructures in graphs. In a nutshell, k -truss is the largest subgraph in which every...
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A Refinement of Non-Uniform Estimates of the Rate of Convergence in the Central Limit Theorem Under the Existence of Moments of Orders No Higher Than Two
Non-uniform estimates of the rate of convergence in the central limit theorem for sums of independent identically distributed summands are refined...
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Discretization of the Ergodic Functional Central Limit Theorem
In this paper, we study the discretization of the ergodic Functional Central Limit Theorem (CLT) established by Bhattacharya (see Bhattacharya in Z...
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A Method for Calculating Passive Earth Pressure Under Finite Soil Conditions Based on Upper Bound Limit Analysis
The pit-in-pit phenomenon is prevalent in foundation pit engineering practice, resulting in the soil at the bottom of the foundation pit becoming...
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Flexibility of statistical properties for smooth systems satisfying the central limit theorem
We exhibit new classes of smooth systems which satisfy the Central Limit Theorem (CLT) and have (at least) one of the following properties:
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Application of a Limit Theorem to the Construction of Japanese Crossword Puzzles
The generation of crossword puzzles is known to be NP-Complete. Optimization over structural characteristics is known to extend this into the NP-Hard...
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On a Generalized Central Limit Theorem and Large Deviations for Homogeneous Open Quantum Walks
We consider homogeneous open quantum walks on a lattice with finite dimensional local Hilbert space and we study in particular the position process...
