Totally disconnected locally compact groups locally of finite rank [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2015 We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
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A theorem about linear rank inequalities that depend on the characteristic of the finite field
Selecciones Matemáticas, 2022 A linear rank inequality is a linear inequality that holds by dimensions of vector spaces over any finite field. A characteristic-dependent linear rank inequality is also a linear inequality that involves dimensions of vector spaces but this holds over ...
Victor Peña-Macias
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Topological mixing properties of rank‐one subshifts
Transactions of the London Mathematical Society, 2019 We study topological mixing properties and the maximal equicontinuous factor of rank‐one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank‐one subshift is finite. We also determine all the finite factors
Su Gao, Caleb Ziegler
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Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries [PDF]
Electronic Journal of Combinatorics, 2017 In this paper we construct infinite families of non-linear maximum rank distance codes by using the setting of bilinear forms of a finite vector space. We also give a geometric description of such codes by using the cyclic model for the field reduction ...
Durante, Nicola, Siciliano, Alessandro
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Infinite-Dimensional Nonpositively Curved Symmetric Spaces of Finite Rank [PDF]
, 2012 This paper concerns a study of three families of non-compact type symmetric spaces of infinite dimension. Although they have infinite dimension they have finite rank. More precisely, we show they have finite telescopic dimension.
Bruno Duchesne, Bruno Duchesne
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Truncated Toeplitz operators of finite rank [PDF]
, 2012 We give a complete description of the finite-rank truncated Toeplitz operators.
Roman Bessonov
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A Theoretical Analysis of the Test Error of Finite-Rank Kernel Ridge Regression [PDF]
Neural Information Processing Systems, 2023 Existing statistical learning guarantees for general kernel regressors often yield loose bounds when used with finite-rank kernels. Yet, finite-rank kernels naturally appear in several machine learning problems, e.g.\ when fine-tuning a pre-trained deep ...
Tin Sum Cheng +4 more
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Statistical inference of finite-rank tensors [PDF]
Annales Henri Lebesgue, 2021 We consider a general statistical inference model of finite-rank tensor products. For any interaction structure and any order of tensor products, we identify the limit free energy of the model in terms of a variational formula.
Hong-Bin Chen, J. Mourrat, J. Xia
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Centrally essential torsion-free rings of finite rank [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2020 It is proved that centrally essential rings, whose additive groups of finite rank are torsion-free groups of finite rank, are quasi-invariant but not necessarily invariant.
O. Lyubimtsev, A. Tuganbaev
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On the relationships between the factors of the upper and lower central series in some non-periodic groups [PDF]
International Journal of Group Theory, 2018 This paper deals with the mutual relationships between the factor group $G/zeta(G)$ (respectively $G/zeta_k(G)$) and $G'$ (respectively $gamma_{k+1}(G)$ and $G^{mathfrak{N}}$).
Martyn Dixon +2 more
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