Volume 31, Issue 1, December 2023
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Dynamical analysis fractional-order financial system using efficient numerical methods
Bootstrap inference for unbalanced one-way classification model with skew-normal random effects
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A Bayesian look at classical estimation: The shape of the pareto distribution and its functions
Global attractor for the three-dimensional Bardina tropical climate model
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Parking functions: interdisciplinary connections
Suppose that m drivers each choose a preferred parking space in a linear car park with n spots. In order, each driver goes to their chosen spot and parks there if possible, and otherwise takes the next available spot if it exists. If all drivers park successfully, the sequence of choices is called a parking function. Classical parking functions correspond to the case 
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We investigate various probabilistic properties of a uniform parking function. Through a combinatorial construction termed a parking function multi-shuffle, we give a formula for the law of multiple coordinates in the generic situation 
. We further deduce all possible covariances: between two coordinates, between a coordinate and an unattempted spot, and between two unattempted spots. This asymptotic scenario in the generic situation 
is in sharp contrast with that of the special situation 
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A generalization of parking functions called interval parking functions is also studied, in which each driver is willing to park only in a fixed interval of spots. We construct a family of bijections between interval parking functions with n cars and n spots and edge-labeled spanning trees with 
vertices and a specified root.
Weak convergence of balanced stochastic Runge–Kutta methods for stochastic differential equations
Strong convergence of two regularized relaxed extragradient schemes for solving the split feasibility and fixed point problem with multiple output sets
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On the square root of the inverse different
Let 
be a finite Galois-algebra extension of a number field F, with group G. Suppose that 
is weakly ramified and that the square root 
of the inverse different 
is defined. (This latter condition holds if, for example, 
is odd.) Erez has conjectured that the class 
of 
in the locally free class group 
of 
is equal to the Cassou–Noguès–Fröhlich root number class 
associated with 
. This conjecture has been verified in many cases. We establish a precise formula for 
in terms of 
in all cases where 
is defined and 
is tame, and are thereby able to deduce that, in general, 
is not equal to 
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