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Stray field computation by inverted finite elements: a new method in micromagnetic simulations
In this paper, we propose a new method for computing the stray-field and the corresponding energy for a given magnetization configuration. Our...
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Well-Posedness for Mean Field Games with Finite State and Action Space
The main purpose of this paper is to investigate the well-posedness for mean field game with finite state and action space (FSASMFG) by using...
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Planning Problem for Continuous-Time Finite State Mean Field Game with Compact Action Space
The planning problem for the mean field game implies that one tries to transfer the system of infinitely many identical rational agents from the...
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Mean Field Control and Finite Agent Approximation for Regime-Switching Jump Diffusions
We consider a jump-diffusion mean field control problem with regime switching in the state dynamics. The corresponding value function is...
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A Lower Bound for Bilinear Complexity of Matrix Multiplication over a Finite Field
AbstractAn improved lower bound is found for the bilinear complexity of the multiplication of arbitrary matrices over finite fields.
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Computing the Brauer group of the product of two elliptic curves over a finite field
We discuss how to compute the Brauer group of the product of two elliptic curves over a finite field. Specifically, we apply the Artin–Tate formula...
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Finite Difference Time Domain Methods for the Dirac Equation Coupled with the Chern–Simons Gauge Field
We introduce finite difference time domain (FDTD) methods for solving the Dirac equation coupled with the Chern–Simons gauge field and provide their...
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On the Characterization of a Finite Random Field by Conditional Distribution and its Gibbs Form
In this paper, we show that the methods of mathematical statistical physics can be successfully applied to random fields in finite volumes. As a...
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Pareto Optimal Cooperative Control of Mean-Field Backward Stochastic Differential System in Finite Horizon
This research article aims to investigate a new type of Pareto cooperative differential game governed by backward stochastic differential equations...
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Multiple-Population Discrete-Time Mean Field Games with Discounted and Total Payoffs: Approximation of Games with Finite Populations
In the paper we present a model of discrete-time mean-field game with multiple populations of players. Its main result shows that the equilibria...
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To the Calculation of the Map** Degree of Finite Dimensional Vector Field
AbstractIn this paper we propose and justify a new method calculation of the map** degree of n ‑dimensional vector field on the unit sphere of the...
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Ramp Scheme Based on CRT for Polynomial Ring over Finite Field
Chinese Reminder Theorem (CRT) for integers has been widely used to construct secret sharing schemes for different scenarios, but these schemes have...
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Deep Neural Network Solution for Finite State Mean Field Game with Error Estimation
We discuss the numerical solution to a class of continuous time finite state mean field games. We apply the deep neural network (DNN) approach to...
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Cryptanalysis of a Cayley Hash Function Based on Affine Maps in one Variable over a Finite Field
The hash function proposed by Shpilrain and Sosnovski (Groups Complex Cryptol 8:155–161, 2016), based on affine maps in one variable over a finite...
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Inductive algebras for the affine group of a finite field
Each irreducible representation of the affine group of a finite field has a unique maximal inductive algebra, and it is self-adjoint.