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Free-energy calculations in condensed matter: from early challenges to the advent of umbrella sampling
The investigation of condensed matter transformations hinges on the precision of free-energy calculations. This article charts the evolution of...
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A Theory of Singular Values for Finite Free Probability
We introduce a finite version of free probability for rectangular matrices that amounts to operations on singular values of polynomials. This study...
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Ground States and Gibbs Measures for the Potts-SOS Model with an External Field on the Cayley Tree
AbstractWe consider the Potts-SOS model with non-zero external field on the Cayley tree. We describe the ground states for the Potts-SOS model with a...
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Compositional truth with propositional tautologies and quantifier-free correctness
In Cieśliński (J Philos Logic 39:325–337, 2010), Cieśliński asked whether compositional truth theory with the additional axiom that all propositional...
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A note on free boundary hypersurfaces in space form balls
In this article, we establish a relationship between geometric quantities of a hypersurface restricted to its boundary, and the geometric quantities...
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Enabling Equation-Free Modeling via Diffusion Maps
Equation-free modeling aims at extracting low-dimensional macroscopic dynamics from complex high-dimensional systems that govern the evolution of...
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Faster Convergence in the Free Central Limit Theorem
We show that there is a faster convergence in the free central limit theorem for measures of bounded support when we have vanishing free cumulants....
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Algorithms in Direct Decompositions of Torsion-Free Abelian Groups
The graphical theory of direct decompositions of torsion-free Abelian groups of a certain type is considered as the basis for the algorithmic...
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Matrix concentration inequalities and free probability
A central tool in the study of nonhomogeneous random matrices, the noncommutative Khintchine inequality, yields a nonasymptotic bound on the spectral...
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On the profinite rigidity of free and surface groups
Let S be either a free group or the fundamental group of a closed hyperbolic surface. We show that if G is a finitely generated residually- p group...
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Vibrational Density of States of Heterogeneous Materials
An important property of solids is their vibrational density of states. Consider a...
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Asymptotic Stability of Equilibrium States with Variable Temperature Gradient to the Boussinesq System Without Thermal Conduction
We study the asymptotic stability of equilibrium states with positive (and variable) temperature gradient to the Boussinesq system without thermal...
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On the atomic structure of torsion-free monoids
Let M be a cancellative and commutative (additive) monoid. The monoid M is atomic if every non-invertible element can be written as a sum of...
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On a statement of O. Frink about free pseudo-complemented meet-semilattices
Orrin Frink in 1962 stated incorrectly, that there exist free pseudocomplemented meet-semilattices, which are not lattices. This is disproved in the...
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Reformulated Dissipation for the Free-Stream Preserving of the Conservative Finite Difference Schemes on Curvilinear Grids
In this paper, we develop a new free-stream preserving (FP) method for high-order upwind conservative finite-difference (FD) schemes on curvilinear...
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Invariant Theory of Free Bicommutative Algebras
The variety \(\mathfrak B\) of Drensky,...
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Scattering States of the Inverted Oscillator and Its Supersymmetric Partners
The inverted oscillator (repulsive oscillator or parabolic potential barrier) is an exactly solvable potential with scattering states and infinite...
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Self-similarity of some soluble relatively free groups
In this paper, we prove that a free nilpotent group of finite rank is transitive self-similar. In contrast, we prove that a free metabelian group of...
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