On flux integrals for generalized Melvin solution related to simple finite-dimensional Lie algebra
A generalized Melvin solution for an arbitrary simple finite-dimensional Lie algebra $$\mathcal G$$ G is considered. The solution contains a metric, n Abelian 2-forms and n scalar fields, where n is the rank of $$\mathcal G$$ G .
V. D. Ivashchuk
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Non-Abelian Symmetries and Disorder: A Broad Nonergodic Regime and Anomalous Thermalization
Previous studies reveal a crucial effect of symmetries on the properties of a single particle moving in a disorder potential. More recently, a phenomenon of many-body localization (MBL) has been attracting much theoretical and experimental interest.
Ivan V. Protopopov +5 more
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Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
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Integrable maps in 4D and modified Volterra lattices [PDF]
In recent work, we presented the construction of a family of difference equations associated with the Stieltjes continued fraction expansion of a certain function on a hyperelliptic curve of genus $g$. As well as proving that each such discrete system is
A. N. W. Hone +3 more
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Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with 2$\hskip.001pt 2$‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group.
Ethan Ackelsberg, Asgar Jamneshan
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OPERATOR METHODS, ABELIAN PROCESSES AND DYNAMIC CONDITIONING [PDF]
A mathematical framework for Continuous Time Finance based on operator algebraic methods oers a new direct and entirely constructive perspective on the field.
Albanese, Claudio
core
Power corrections to the heavy electron form factor
We study the first power correction to the heavy electron form factor in QED and show that it factorizes as a derivative operator. We discuss the result in QED with no light fermions, where the first power correction can be written explicitly in terms of
Aniruddha Venkata
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h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
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DARBOUX-INTEGRABLE EQUATIONS WITH NON-ABELIAN NONLINEARITIES
We introduce a new class of nonlinear equations admitting a representation in terms of Darboux-covariant compatibility conditions. Their special cases are, in particular, (i) the "general" von Neumann equation $i\dotρ=[H,f(ρ)]$, with $[f(ρ),ρ]=0$, (ii) its generalization involving certain functions $f(ρ)$ which are non-Abelian in the sense that $[f(ρ ...
Ustinov, N.v., Czachor, Marek
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Logarithmic correlation functions for critical dense polymers on the cylinder
We compute lattice correlation functions for the model of critical dense polymers on a semi-infinite cylinder of perimeter $n$. In the lattice loop model, contractible loops have a vanishing fugacity whereas non-contractible loops have a fugacity $\alpha
Alexi Morin-Duchesne, Jesper Lykke Jacobsen
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