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Discrete Mathematics, ISSN 0012-365X, 07/2016, Volume 339, Issue 7, pp. 1924 - 1934
Given a simple and connected graph G=(V,E), and a positive integer k, a set S⊆V is said to be a k-metric generator for G, if for any pair of different vertices... 
Lexicographic product graphs | [formula omitted]-metric dimension | [formula omitted]-adjacency dimension | [formula omitted]-metric generator | k-adjacency dimension | k-metric dimension | k-metric generator | MATHEMATICS | CARTESIAN PRODUCTS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2017, Volume 449, Issue 2, pp. 1340 - 1350
We provide new developments to extend the formula of the diametral dimension of locally p-convex spaces Sν (Aubry and Bastin, 2010) to some locally... 
Sequence spaces | Diametral dimension | Property [formula omitted] | Property (Ω‾)
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 02/2019, Volume 254, pp. 47 - 55
Choi et al. (2016) introduced the notion of the partial order competition dimension of a graph and characterized the graphs with partial order competition... 
Partial order competition dimension | Bipartite graph | [formula omitted]-partial order | Competition graph | Order type for two points in [formula omitted] | Planar graph | d-partial order | Order type for two points in R | MATHEMATICS, APPLIED | Order type for two points in R-3 | NUMBERS | Competition | Graphs | Codes | Upper bounds | Hyperplanes
Journal Article
Advances in Mathematics, ISSN 0001-8708, 01/2017, Volume 304, pp. 56 - 89
We show that if X is a finite dimensional locally compact Hausdorff space, then the crossed product of C0(X) by any automorphism has finite nuclear dimension.... 
[formula omitted]-algebras | Nuclear dimension | [formula omitted]-dynamics | algebras | dynamics | C | MATHEMATICS | C-dynamics | C-algebras
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 12/2015, Volume 129, pp. 198 - 216
In this paper we study a measure, μˆ, associated with a positive p harmonic function uˆ defined in an open set O⊂Rn and vanishing on a portion Γ of ∂O. If p>n... 
[formula omitted] harmonic measure | [formula omitted] harmonic function | Hausdorff measure | [formula omitted] Laplacian | secondary 35J70 | MSC primary 35J25
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2010, Volume 224, Issue 2, pp. 461 - 498
We introduce the nuclear dimension of a C ∗ -algebra; this is a noncommutative version of topological covering dimension based on a modification of the earlier... 
Approximation properties | Noncommutative covering dimension | Asymptotic dimension | Classification of [formula omitted]-algebras | algebras | Classification of C | MATHEMATICS | ISOMORPHISM | FINITE | Classification of C-algebras | COVERING DIMENSION | REAL RANK | CLASSIFICATION
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2011, Volume 852, Issue 3, pp. 592 - 614
Colored tensor models generalize matrix models in higher dimensions. They admit a 1 / N expansion dominated by spherical topologies and exhibit a critical... 
Random tensor models | [formula omitted] expansion | Critical behavior | 1/N expansion | I/N expansion | MATTER | EQUATIONS | MODEL | QUANTUM-GRAVITY | PHYSICS, PARTICLES & FIELDS
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2012, Volume 855, Issue 1, pp. 128 - 151
Journal Article
Topology and its Applications, ISSN 0166-8641, 12/2014, Volume 178, pp. 219 - 229
The aim of this paper is to establish relationships between Lebesque and inductive dimensions (m,n)-dim and (m,n)-Ind. The main results are the following:1.For... 
Theorem on partitions | Essential mapping | Dimension [formula omitted]-Ind | Dimension [formula omitted]-dim | Dimension (m, n)-Ind | Dimension (m, n)-dim | DIMENSION (M | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 05/2016, Volume 270, Issue 10, pp. 3675 - 3708
We study Z-actions on unital simple separable stably finite C⁎-algebras of finite nuclear dimension. Assuming that the extreme boundary of the trace space is... 
[formula omitted]-algebra | Automorphism | Rokhlin dimension | Continuous [formula omitted]-bundle | algebra | Continuous W | bundle | REAL RANK | ROHLIN PROPERTY | OUTER ACTIONS | Z-STABILITY | AUTOMORPHISMS | CROSSED-PRODUCTS | JIANG-SU ALGEBRA | MATHEMATICS | UHF ALGEBRAS | Continuous W-bundle | C-algebra
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2019, Volume 469, Issue 2, pp. 916 - 934
We study the average Lq-dimensions of typical Borel probability measures belonging to the Gromov–Hausdorff–Prohoroff space (of all Borel probability measures... 
[formula omitted]-dimension | Gromov–Hausdorff–Prohoroff space | Cesaro mean | Baire category | Gromov–Hausdorff–Prohoroff metric | Hölder mean | dimension
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 07/2013, Volume 872, Issue 2, pp. 213 - 227
We present a new (variant) formulation of N=1 supersymmetric compensator mechanism for an arbitrary non-Abelian group in four dimensions. We call this ‘variant... 
[formula omitted] supersymmetry | Four dimensions | Non-Abelian group | Tensor multiplet | Non-Abelian tensors | Proca–Stueckelberg formalism | N=1 supersymmetry | Proca-Stueckelberg formalism | MULTIPLET | SUPERFIELDS | YANG-MILLS FIELDS | GAUGE | NON-RENORMALIZABILITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 03/2014, Volume 166, pp. 159 - 163
The concept of dot product dimension of graphs was introduced by Fiduccia et al. (1998), as a relaxation of intersection number. The dot product dimension ρ(G)... 
Dot product dimension | [formula omitted]-dot product representation | [formula omitted]-dot product graph | k-dot product graph | k-dot product representation | P4-SPARSE GRAPHS | MATHEMATICS, APPLIED | Functions (mathematics) | Graphs | Intersections | Mathematical analysis | Standards
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 03/2019, Volume 390, pp. 69 - 83
By using a Cahn–Hoffman ξ-vector formulation, we propose a sharp-interface approach for solving solid-state dewetting problems in two dimensions. First, based... 
Surface energy anisotropy | Solid-state dewetting | Cahn–Hoffman [formula omitted]-vector | Surface diffusion | Moving contact lines | Cahn–Hoffman ξ-vector
Journal Article
Computer Physics Communications, ISSN 0010-4655, 01/2018, Volume 222, pp. 167 - 188
We propose a new non-perturbative technique for calculating the scattering amplitudes of field-theory directly from the eigenstates of the Hamiltonian. Our... 
Field theory | [formula omitted]-matrix | Scattering amplitudes | Non-perturbative | Computational | S-matrix
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 10/2016, Volume 211, pp. 163 - 174
We study the VC-dimension of the set system on the vertex set of some graph which is induced by the family of its k-connected subgraphs. In particular, we give... 
[formula omitted]-complete | VC-dimension | [formula omitted]-connected | NP-complete | k-connected | MATHEMATICS, APPLIED | BOUNDED CLIQUE-WIDTH | COMPLEXITY | Venture capital
Journal Article
Topology and its Applications, ISSN 0166-8641, 06/2014, Volume 169, pp. 120 - 135
We introduce and investigate transfinite dimensions tr-(m,n)-Ind, where m,n are positive integers, n⩽m. For n=1 these dimension functions were introduced in... 
An addition theorem | Dimension [formula omitted] | Stone–Čech compactification | Transfinite inductive dimension | Dimension (m, n)-dim | Stone-Čech compactification | MATHEMATICS | MATHEMATICS, APPLIED | Stone-Cech compactification
Journal Article
Stochastic Processes and their Applications, ISSN 0304-4149, 08/2019
Journal Article
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