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Effective Descent Morphisms of Filtered Preorders
We characterize effective descent morphisms of what we call filtered preorders, and apply these results to slightly improve a known result, due to...
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Influence of Numerical Diffusion on the Growth Rate of Viscous Fingers in the Numerical Implementation of the Peaceman Model by the Finite Volume Method
A numerical model of oil displacement by a mixture of water and polymer based on the Peaceman model is considered. Numerical experiments were carried...
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Harmonic weak Maass forms and periods II
In this paper we investigate the Fourier coefficients of harmonic Maass forms of negative half-integral weight. We relate the algebraicity of these...
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Commutator Formulas for Gradient Ricci Shrinkers and Their Application to Linear Stability of Gradient Ricci Shrinkers
In this paper we have found a number of commutator formulas between the weighted divergence, the weighted Laplacian, the weighted Lichnerowicz...
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Second order necessary condition for a strong minimum in the classical problem of calculus of variations
The paper offers a second order necessary condition for a strong minimum in the standard problem of calculus of variations. No idea of such a result...
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Existence of Solution of a Free Boundary Problem for Reaction–Diffusion Systems
In this paper, we prove the existence of a solution of a novel free boundary problem for reaction-diffusion systems describing growth of biological...
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Positive definiteness of Hadamard exponentials and Hadamard inverses
Let A be a positive semidefinite matrix. It is known that the Hadamard exponential of A is positive semidefinite; it is positive definite if and only...
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A strong form of the quantitative Wulff inequality for crystalline norms
Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding...
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On convergence of a sketch-and-project method for the matrix equation \(AXB=C\)
In this paper, based on Lagrangian functions of the optimization problem we develop a sketch-and-project method for solving the linear matrix...
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Pricing of shout option in uncertain financial market
The shout option allows the investors to make "shouts" to the seller throughout the option’s duration. The investors’ payoff is higher between the...
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Envelopes in Banach spaces
We introduce the notion of isometric envelope of a subspace in a Banach space, establishing its connections with several key elements: (a) we explore...
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Maximum Likelihood Estimation for Unrooted 3-Leaf Trees: An Analytic Solution for the CFN Model
Maximum likelihood estimation is among the most widely-used methods for inferring phylogenetic trees from sequence data. This paper solves the...
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Rogers–Ramanujan type identities involving double, triple and quadruple sums
We prove a number of new Rogers–Ramanujan type identities involving double, triple and quadruple sums. They were discovered after an extensive search...